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  Subjects -> MATHEMATICS (Total: 978 journals)
    - APPLIED MATHEMATICS (81 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (723 journals)
    - MATHEMATICS (GENERAL) (41 journals)
    - NUMERICAL ANALYSIS (22 journals)
    - PROBABILITIES AND MATH STATISTICS (91 journals)

MATHEMATICS (723 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 32)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 10)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 4)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 14)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Science     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Nonlinear Analysis     Hybrid Journal  
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 12)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 6)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 9)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 2)
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Data Science     Hybrid Journal   (Followers: 12)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 13)
Annals of Pure and Applied Logic     Open Access   (Followers: 3)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 13)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 9)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 21)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 12)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 19)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 8)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 30)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Econometrics     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Combinatorics     Open Access  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)

        1 2 3 4 | Last

Journal Cover
Analysis and Applications
Journal Prestige (SJR): 1.188
Citation Impact (citeScore): 2
Number of Followers: 1  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0219-5305 - ISSN (Online) 1793-6861
Published by World Scientific Homepage  [118 journals]
  • Faster convergence of a randomized coordinate descent method for linearly
           constrained optimization problems
    • Authors: Qin Fang, Min Xu, Yiming Ying
      Pages: 741 - 755
      Abstract: Analysis and Applications, Volume 16, Issue 05, Page 741-755, September 2018.
      The problem of minimizing a separable convex function under linearly coupled constraints arises from various application domains such as economic systems, distributed control, and network flow. The main challenge for solving this problem is that the size of data is very large, which makes usual gradient-based methods infeasible. Recently, Necoara, Nesterov and Glineur [Random block coordinate descent methods for linearly constrained optimization over networks, J. Optim. Theory Appl. 173(1) (2017) 227–254] proposed an efficient randomized coordinate descent method to solve this type of optimization problems and presented an appealing convergence analysis. In this paper, we develop new techniques to analyze the convergence of such algorithms, which are able to greatly improve the results presented in the above. This refined result is achieved by extending Nesterov’s second technique [Efficiency of coordinate descent methods on huge-scale optimization problems, SIAM J. Optim. 22 (2012) 341–362] to the general optimization problems with linearly coupled constraints. A novel technique in our analysis is to establish the basis vectors for the subspace of the linear constraints.
      Citation: Analysis and Applications
      PubDate: 2018-08-31T02:04:11Z
      DOI: 10.1142/S0219530518500082
       
  • Existence of ground states for aggregation-diffusion equations
    • Authors: J. A. Carrillo, M. G. Delgadino, F. S. Patacchini
      Pages: 1 - 31
      Abstract: Analysis and Applications, Ahead of Print.
      We analyze free energy functionals for macroscopic models of multi-agent systems interacting via pairwise attractive forces and localized repulsion. The repulsion at the level of the continuous description is modeled by pressure-related terms in the functional making it energetically favorable to spread, while the attraction is modeled through nonlocal forces. We give conditions on general entropies and interaction potentials for which neither ground states nor local minimizers exist. We show that these results are sharp for homogeneous functionals with entropies leading to degenerate diffusions while they are not sharp for fast diffusions. The particular relevant case of linear diffusion is totally clarified giving a sharp condition on the interaction potential under which the corresponding free energy functional has ground states or not.
      Citation: Analysis and Applications
      PubDate: 2018-09-19T02:42:13Z
      DOI: 10.1142/S0219530518500276
       
  • Asymptotic stability of viscous contact wave and rarefaction waves for the
           system of heat-conductive ideal gas without viscosity
    • Authors: Lili Fan, Guiqiong Gong, Shaojun Tang
      Pages: 1 - 24
      Abstract: Analysis and Applications, Ahead of Print.
      This paper is concerned with the Cauchy problem of heat-conductive ideal gas without viscosity, where the far field states are prescribed. When the corresponding Riemann problem for the compressible Euler system has the solution consisting of a contact discontinuity and rarefaction waves, we show that if the strengths of the wave patterns and the initial perturbation are suitably small, the unique global-in-time solution exists and asymptotically tends to the corresponding composition of a viscous contact wave with rarefaction waves, which extended the results by Huang–Li–Matsumura [Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier–Stokes system, Arch. Ration. Mech. Anal. 197 (2010) 89–116.], where they treated the viscous and heat-conductive ideal gas.
      Citation: Analysis and Applications
      PubDate: 2018-07-27T03:08:50Z
      DOI: 10.1142/S0219530518500239
       
  • Existence of heteroclinic solutions for a class of problems involving the
           fractional Laplacian
    • Authors: Claudianor O. Alves, Vincenzo Ambrosio, César E. Torres Ledesma
      Pages: 1 - 27
      Abstract: Analysis and Applications, Ahead of Print.
      In this paper, we study the existence of heteroclinic solution for a class of nonlocal problems of the type (−Δ)αu + a(𝜖x)V′(u) = 0,x ∈ ℝ,limx→−∞u(x) = −1andlimx→+∞u(x) = 1, where [math], [math] are continuous functions verifying some technical conditions. For example [math] can be asymptotically periodic and potential [math] can be the Ginzburg–Landau potential, that is, [math].
      Citation: Analysis and Applications
      PubDate: 2018-07-27T03:08:50Z
      DOI: 10.1142/S0219530518500252
       
  • Reconstruction of stationary and non-stationary signals by the generalized
           Prony method
    • Authors: Gerlind Plonka, Kilian Stampfer, Ingeborg Keller
      Pages: 1 - 32
      Abstract: Analysis and Applications, Ahead of Print.
      We employ the generalized Prony method in [T. Peter and G. Plonka, A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators, Inverse Problems 29 (2013) 025001] to derive new reconstruction schemes for a variety of sparse signal models using only a small number of signal measurements. By introducing generalized shift operators, we study the recovery of sparse trigonometric and hyperbolic functions as well as sparse expansions into Gaussians chirps and modulated Gaussian windows. Furthermore, we show how to reconstruct sparse polynomial expansions and sparse non-stationary signals with structured phase functions.
      Citation: Analysis and Applications
      PubDate: 2018-07-27T03:08:49Z
      DOI: 10.1142/S0219530518500240
       
  • Deep learning in high dimension: Neural network expression rates for
           generalized polynomial chaos expansions in UQ
    • Authors: Christoph Schwab, Jakob Zech
      Pages: 1 - 37
      Abstract: Analysis and Applications, Ahead of Print.
      We estimate the expressive power of certain deep neural networks (DNNs for short) on a class of countably-parametric, holomorphic maps [math] on the parameter domain [math]. Dimension-independent rates of best [math]-term truncations of generalized polynomial chaos (gpc for short) approximations depend only on the summability exponent of the sequence of their gpc expansion coefficients. So-called [math]-holomorphic maps [math], with [math] for some [math], are known to allow gpc expansions with coefficient sequences in [math]. Such maps arise for example as response surfaces of parametric PDEs, with applications in PDE uncertainty quantification (UQ) for many mathematical models in engineering and the sciences. Up to logarithmic terms, we establish the dimension independent approximation rate [math] for these functions in terms of the total number [math] of units and weights in the DNN. It follows that certain DNN architectures can overcome the curse of dimensionality when expressing possibly countably-parametric, real-valued maps with a certain degree of sparsity in the sequences of their gpc expansion coefficients. We also obtain rates of expressive power of DNNs for countably-parametric maps [math], where [math] is the Hilbert space [math].
      Citation: Analysis and Applications
      PubDate: 2018-07-13T01:56:59Z
      DOI: 10.1142/S0219530518500203
       
  • From Boltzmann to incompressible Navier–Stokes in Sobolev spaces
           with polynomial weight
    • Authors: Marc Briant, Sara Merino-Aceituno, Clément Mouhot
      Pages: 1 - 32
      Abstract: Analysis and Applications, Ahead of Print.
      We study the Boltzmann equation on the [math]-dimensional torus in a perturbative setting around a global equilibrium under the Navier–Stokes linearization. We use a recent functional analysis breakthrough to prove that the linear part of the equation generates a [math]-semigroup with exponential decay in Lebesgue and Sobolev spaces with polynomial weight, independently of the Knudsen number. Finally, we prove well-posedness of the Cauchy problem for the nonlinear Boltzmann equation in perturbative setting and an exponential decay for the perturbed Boltzmann equation, uniformly in the Knudsen number, in Sobolev spaces with polynomial weight. The polynomial weight is almost optimal. Furthermore, this result only requires derivatives in the space variable and allows to connect solutions to the incompressible Navier–Stokes equations in these spaces.
      Citation: Analysis and Applications
      PubDate: 2018-07-13T01:56:58Z
      DOI: 10.1142/S021953051850015X
       
  • A polyconvex extension of the logarithmic Hencky strain energy
    • Authors: Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff
      Pages: 1 - 13
      Abstract: Analysis and Applications, Ahead of Print.
      Adapting a method introduced by Ball, Muite, Schryvers and Tirry, we construct a polyconvex isotropic energy function [math] which is equal to the classical Hencky strain energy WH(F) = μ∥devnlogU∥2 + κ 2 [tr(logU)]2 = μ∥logU∥2 + Λ 2 [tr(logU)]2 in a neighborhood of the identity matrix [math]; here, [math] denotes the set of [math]-matrices with positive determinant, [math] denotes the deformation gradient, [math] is the corresponding stretch tensor, [math] is the principal matrix logarithm of [math], tr is the trace operator, [math] is the Frobenius matrix norm and [math] is the deviatoric part of [math]. The extension can also be chosen to be coercive, in which case Ball’s classical theorems for the existence of energy minimizers under appropriate boundary conditions are immediately applicable. We also generalize the approach to energy functions [math] in the so-called Valanis–Landel form WVL(F) =∑i=1nw(λ i) with [math], where [math] denote the singular values of [math].
      Citation: Analysis and Applications
      PubDate: 2018-07-13T01:56:57Z
      DOI: 10.1142/S0219530518500173
       
  • Boundedness and compactness characterizations of Riesz transform
           commutators on Morrey spaces in the Bessel setting
    • Authors: Suzhen Mao, Huoxiong Wu, Dongyong Yang
      Pages: 1 - 34
      Abstract: Analysis and Applications, Ahead of Print.
      Let [math] and [math] be the Bessel operator on [math]. In this paper, the authors show that [math] (or [math], respectively) if and only if the Riesz transform commutator [math] is bounded (or compact, respectively) on Morrey spaces [math], where [math], [math] and [math]. A weak factorization theorem for functions belonging to the Hardy space [math] in the sense of Coifman–Rochberg–Weiss in Bessel setting, via [math] and its adjoint, is also obtained.
      Citation: Analysis and Applications
      PubDate: 2018-07-13T01:56:57Z
      DOI: 10.1142/S0219530518500227
       
  • Asymptotic analysis for affine point processes with large initial
           intensity
    • Authors: Nian Yao, Mingqing Xiao
      Pages: 1 - 27
      Abstract: Analysis and Applications, Ahead of Print.
      In this paper, we consider a generalized stochastic model associated with affine point processes based on several classical models. In particular, we study the asymptotic behavior of the process when the initial intensity is large, i.e. the intensity of arriving events observed initially is considerably larger, which appears in many real applications. For our generalized model, we establish (i) the large deviation principle; (ii) the corresponding functional law of large numbers; (iii) the corresponding central limit theorem, that reflect the fundamentals of the process asymptotic behavior. Our obtained results include existing results as special cases with a more general structure.
      Citation: Analysis and Applications
      PubDate: 2018-07-13T01:56:55Z
      DOI: 10.1142/S0219530518500197
       
  • A nonsmooth static frictionless contact problem with locking materials
    • Authors: Mircea Sofonea
      Pages: 1 - 24
      Abstract: Analysis and Applications, Ahead of Print.
      We study a new mathematical model which describes the equilibrium of a locking material in contact with a foundation. The contact is frictionless and is modeled with a nonsmooth multivalued interface law which involves unilateral constraints and subdifferential conditions. We describe the model and derive its weak formulation, which is in the form of an elliptic variational–hemivariational inequality for the displacement field. Then, we establish the existence of a unique weak solution to the problem. Next, we introduce a penalty method, for which we state and prove a convergence result. Finally, we consider a particular version of the model for which we prove the continuous dependence of the solution on the bounds which govern the locking and the normal displacement constraints, respectively. We apply this convergence result in the study of an optimization problem associated to the contact model.
      Citation: Analysis and Applications
      PubDate: 2018-07-13T01:56:55Z
      DOI: 10.1142/S0219530518500215
       
  • Bias corrected regularization kernel method in ranking
    • Authors: Fangchao He, Qiang Wu
      Pages: 1 - 17
      Abstract: Analysis and Applications, Ahead of Print.
      We propose a bias corrected regularization kernel ranking (BCRKR) method and characterize the asymptotic bias and variance of the estimated ranking score function. The results show that BCRKR has smaller asymptotic bias than the traditional regularization kernel ranking (RKR) method. The variance of BCRKR has the same order of decay as that of RKR when the sample size goes to infinity. Therefore, BCRKR is expected to be as effective as RKR and its smaller bias favors its use in block wise data analysis such as distributed learning for big data. The proofs make use of a concentration inequality of integral operator U-statistic.
      Citation: Analysis and Applications
      PubDate: 2018-07-13T01:56:54Z
      DOI: 10.1142/S0219530518500161
       
  • Random sampling and reconstruction in multiply generated shift-invariant
           spaces
    • Authors: Jianbin Yang
      Pages: 1 - 25
      Abstract: Analysis and Applications, Ahead of Print.
      Shift-invariant spaces play an important role in approximation theory, wavelet analysis, finite elements, etc. In this paper, we consider the stability and reconstruction algorithm of random sampling in multiply generated shift-invariant spaces [math]. Under some decay conditions of the generator [math], we approximate [math] with finite-dimensional subspaces and prove that with overwhelming probability, the stability of sampling set conditions holds uniformly for all functions in certain compact subsets of [math] when the sampling size is sufficiently large. Moreover, we show that this stability problem is connected with properties of the random matrix generated by [math]. In the end, we give a reconstruction algorithm for the random sampling of functions in [math].
      Citation: Analysis and Applications
      PubDate: 2018-07-13T01:56:53Z
      DOI: 10.1142/S0219530518500185
       
  • New estimates of the distance between two surfaces in terms of the
           distance between their fundamental forms
    • Authors: Philippe G. Ciarlet, Maria Malin, Cristinel Mardare
      Pages: 1 - 30
      Abstract: Analysis and Applications, Ahead of Print.
      A nonlinear Korn inequality on a surface is any estimate of the distance, up to a proper isometry of [math], between two surfaces measured by some appropriate norms (the “left-hand side” of the inequality) in terms of the distances between their three fundamental forms measured by some appropriate norms (the “right-hand side” of the inequality). The first objective of this paper is to provide several extensions of a nonlinear Korn inequality on a surface obtained in 2006 by the first and third authors and Gratie, then measured by means of [math]-norms on the left-hand side and [math]-norms on the right-hand side. First, we extend this inequality to [math]-norms on the left-hand side and [math]-norms on the right-hand side for any [math] and [math] that satisfy [math]; second, we show how the third fundamental forms can be disposed in the right-hand side; and third, we show that there is no need to introduce proper isometries of [math] in the left-hand side if the surfaces satisfy appropriate boundary conditions. The second objective is to provide nonlinear Korn inequalities on a surface where the left-hand sides are now measured by means of [math]-norms while the right-hand sides are measured by means of [math]-norms, for any [math]. These nonlinear Korn inequalities on a surface themselves rely on various nonlinear Korn inequalities in a domain in [math], recently obtained by the first and third authors in 2015 and by the first author and Sorin Mardare in 2016.
      Citation: Analysis and Applications
      PubDate: 2018-03-29T09:55:40Z
      DOI: 10.1142/S0219530518500136
       
  • On Fourier integral operators with Hölder-continuous phase
    • Authors: Elena Cordero, Fabio Nicola, Eva Primo
      Pages: 1 - 19
      Abstract: Analysis and Applications, Ahead of Print.
      We study continuity properties in Lebesgue spaces for a class of Fourier integral operators arising in the study of the Boltzmann equation. The phase has a Hölder-type singularity at the origin. We prove boundedness in [math] with a precise loss of decay depending on the Hölder exponent, and we show by counterexamples that a loss occurs even in the case of smooth phases. The results can be seen as a quantitative version of the Beurling–Helson theorem for changes of variables with a Hölder singularity at the origin. The continuity in [math] is studied as well by providing sufficient conditions and relevant counterexamples. The proofs rely on techniques from time-frequency analysis.
      Citation: Analysis and Applications
      PubDate: 2018-03-14T07:21:30Z
      DOI: 10.1142/S0219530518500112
       
  • Deep distributed convolutional neural networks: Universality
    • Authors: Ding-Xuan Zhou
      Pages: 1 - 25
      Abstract: Analysis and Applications, Ahead of Print.
      Deep learning based on structured deep neural networks has provided powerful applications in various fields. The structures imposed on the deep neural networks are crucial, which makes deep learning essentially different from classical schemes based on fully connected neural networks. One of the commonly used deep neural network structures is generated by convolutions. The produced deep learning algorithms form the family of deep convolutional neural networks. Despite of their power in some practical domains, little is known about the mathematical foundation of deep convolutional neural networks such as universality of approximation. In this paper, we propose a family of new structured deep neural networks: deep distributed convolutional neural networks. We show that these deep neural networks have the same order of computational complexity as the deep convolutional neural networks, and we prove their universality of approximation. Some ideas of our analysis are from ridge approximation, wavelets, and learning theory.
      Citation: Analysis and Applications
      PubDate: 2018-03-14T07:21:30Z
      DOI: 10.1142/S0219530518500124
       
  • Stability of the compressible viscous fluid around the plane Couette flow
           in the presence of a transverse uniform magnetic field
    • Authors: Xingwei Zhang, Guojing Zhang, Hai-Liang Li
      Pages: 1 - 28
      Abstract: Analysis and Applications, Ahead of Print.
      In this paper, we consider the stability of three-dimensional compressible viscous fluid around the plane Couette flow in the presence of a uniform transverse magnetic field and show that the uniform transverse magnetic field has a stabilizing effect on the plane Couette flow. Namely, for a sufficiently large Hartmann number, the compressible viscous plane Couette flow is nonlinear stable for small Mach number and arbitrary Reynolds number so long as the initial perturbation is small enough.
      Citation: Analysis and Applications
      PubDate: 2018-02-27T03:35:03Z
      DOI: 10.1142/S0219530518500100
       
  • A family of Crouzeix–Raviart finite elements in 3D
    • Authors: Patrick Ciarlet, Charles F. Dunkl, Stefan A. Sauter
      Pages: 1 - 43
      Abstract: Analysis and Applications, Ahead of Print.
      In this paper, we will develop a family of non-conforming “Crouzeix–Raviart” type finite elements in three dimensions. They consist of local polynomials of maximal degree [math] on simplicial finite element meshes while certain jump conditions are imposed across adjacent simplices. We will prove optimal a priori estimates for these finite elements. The characterization of this space via jump conditions is implicit and the derivation of a local basis requires some deeper theoretical tools from orthogonal polynomials on triangles and their representation. We will derive these tools for this purpose. These results allow us to give explicit representations of the local basis functions. Finally, we will analyze the linear independence of these sets of functions and discuss the question whether they span the whole non-conforming space.
      Citation: Analysis and Applications
      PubDate: 2018-02-27T03:35:02Z
      DOI: 10.1142/S0219530518500070
       
  • Reproducing kernels of Sobolev spaces on [math] and applications to
           embedding constants and tractability
    • Authors: Erich Novak, Mario Ullrich, Henryk Woźniakowski, Shun Zhang
      Pages: 1 - 23
      Abstract: Analysis and Applications, Ahead of Print.
      The standard Sobolev space [math], with arbitrary positive integers [math] and [math] for which [math], has the reproducing kernel Kd,s(x,t) =∫ℝd ∏j=1dcos(2π(x j − tj)uj) 1 +∑0< α 1≤s∏j=1d(2πuj)2αjdu for all [math], where [math] are components of [math]-variate [math], and [math] with non-negative integers [math]. We obtain a more explicit form for the reproducing kernel [math] and find a closed form for the kernel [math]. Knowing the form of [math], we present applications on the best embedding constants between the Sobolev space [math] and [math], and on strong polynomial tractability of integration with an arbitrary probability density. We prove that the best embedding constants are exponentially small in [math], whereas worst case integration errors of algorithms using [math] function values are also exponentially small in [math] and decay at least like [math]. This yields strong polynomial tractability in the worst case setting for the absolute error criterion.
      Citation: Analysis and Applications
      PubDate: 2018-02-27T03:35:02Z
      DOI: 10.1142/S0219530518500094
       
  • On meshfree numerical differentiation
    • Authors: Leevan Ling, Qi Ye
      Pages: 1 - 23
      Abstract: Analysis and Applications, Ahead of Print.
      We combine techniques in meshfree methods and Gaussian process regressions to construct kernel-based estimators for numerical derivatives from noisy data. Specially, we construct meshfree estimators from normal random variables, which are defined by kernel-based probability measures induced from symmetric positive definite kernels, to reconstruct the unknown partial derivatives from scattered noisy data. Our developed theories give rise to Tikhonov regularization methods with a priori parameter, but the shape parameters of the kernels remain tunable. For that, we propose an error measure that is computable without the exact values of the derivative. This allows users to obtain a quasi-optimal kernel-based estimator by comparing the approximation quality of kernel-based estimators. Numerical examples in two dimensions and three dimensions are included to demonstrate the convergence behavior and effectiveness of the proposed numerical differentiation scheme.
      Citation: Analysis and Applications
      PubDate: 2018-02-05T03:47:33Z
      DOI: 10.1142/S021953051850001X
       
  • Construction of wavelets and framelets on a bounded interval
    • Authors: Bin Han, Michelle Michelle
      Pages: 1 - 43
      Abstract: Analysis and Applications, Ahead of Print.
      Many problems in applications are defined on a bounded interval. Therefore, wavelets and framelets on a bounded interval are of importance in both theory and application. There is a great deal of effort in the literature on constructing various wavelets on a bounded interval and exploring their applications in areas such as numerical mathematics and signal processing. However, many papers on this topic mainly deal with individual examples which often have many boundary wavelets with complicated structures. In this paper, we shall propose a method for constructing wavelets and framelets in [math] from symmetric wavelets and framelets on the real line. The constructed wavelets and framelets in [math] often have a few simple boundary wavelets/framelets with the additional flexibility to satisfy various desired boundary conditions. To illustrate our construction method, from several spline refinable vector functions, we present several examples of (bi)orthogonal wavelets and spline tight framelets in [math] with very simple boundary wavelets/framelets.
      Citation: Analysis and Applications
      PubDate: 2018-02-05T03:47:31Z
      DOI: 10.1142/S0219530518500045
       
  • Global strong solution for viscous incompressible heat conducting
           Navier–Stokes flows with density-dependent viscosity
    • Authors: Xin Zhong
      Pages: 1 - 25
      Abstract: Analysis and Applications, Ahead of Print.
      We study an initial boundary value problem for the nonhomogeneous heat conducting fluids with non-negative density. First of all, we show that for the initial density allowing vacuum, the strong solution exists globally if the gradient of viscosity satisfies [math]. Then, under certain smallness condition, we prove that there exists a unique global strong solution to the 2D viscous nonhomogeneous heat conducting Navier–Stokes flows with variable viscosity. Our method relies upon the delicate energy estimates and regularity properties of Stokes system and elliptic equation.
      Citation: Analysis and Applications
      PubDate: 2018-02-05T03:47:28Z
      DOI: 10.1142/S0219530518500069
       
  • A global existence of classical solutions to the hydrodynamic
           Cucker–Smale model in presence of a temperature field
    • Authors: Seung-Yeal Ha, Jeongho Kim, Chanho Min, Tommaso Ruggeri, Xiongtao Zhang
      Pages: 1 - 49
      Abstract: Analysis and Applications, Ahead of Print.
      We present a hydrodynamic model for the ensemble of thermodynamic Cucker–Smale (TCS) particles in presence of a temperature field, and study its global-in-time well-posedness in Sobolev space. Our hydrodynamic model can be formally derived from the kinetic TCS model under the mono-kinetic ansatz, and can be viewed as a pressureless gas dynamics with non-local flocking forces. For the global-in-time well-posedness, we assume that communication weight functions are non-negative and non-increasing in their arguments and initial data satisfy non-vacuum conditions and suitable regularity in Sobolev space. In this setting, we use the method of energy estimates and obtain the global existence of classical solutions in any finite time interval. We also present an asymptotic flocking estimate using the Lyapunov functional approach.
      Citation: Analysis and Applications
      PubDate: 2018-02-05T03:47:25Z
      DOI: 10.1142/S0219530518500033
       
  • Second-order dynamical systems with penalty terms associated to monotone
           inclusions
    • Authors: Radu Ioan Boţ, Ernö Robert Csetnek, Szilárd Csaba László
      Pages: 1 - 22
      Abstract: Analysis and Applications, Ahead of Print.
      In this paper, we investigate in a Hilbert space setting a second-order dynamical system of the form ẍ(t) + γ(t)ẋ(t) + x(t) − Jλ(t)A(x(t) − λ(t)D(x(t)) − λ(t)β(t)B(x(t))) = 0, where [math][math] is a maximal monotone operator, [math] is the resolvent operator of [math] and [math] are cocoercive operators, and [math], and [math] are step size, penalization and, respectively, damping functions, all depending on time. We show the existence and uniqueness of strong global solutions in the framework of the Cauchy–Lipschitz–Picard Theorem and prove ergodic asymptotic convergence for the generated trajectories to a zero of the operator [math] where [math] and [math] denotes the normal cone operator of [math]. To this end, we use Lyapunov analysis combined with the celebrated Opial Lemma in its ergodic continuous version. Furthermore, we show strong convergence for trajectories to the unique zero of [math], provided that [math] is a strongly monotone operator.
      Citation: Analysis and Applications
      PubDate: 2018-02-05T03:47:19Z
      DOI: 10.1142/S0219530518500021
       
 
 
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