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  Subjects -> MATHEMATICS (Total: 966 journals)
    - APPLIED MATHEMATICS (82 journals)
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    - MATHEMATICS (711 journals)
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MATHEMATICS (711 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     Full-text available via subscription   (Followers: 29)
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: 2)
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: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
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: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 5)
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: 8)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
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: 11)
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: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
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: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
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: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 2)
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 : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
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)
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: 18)
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: 2)
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: 7)
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: 29)
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  
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)
Elemente der Mathematik     Full-text available via subscription   (Followers: 4)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)

        1 2 3 4 | Last

Journal Cover Analysis and Applications
  Journal Prestige (SJR): 0.652
  Citation Impact (citeScore): 9
  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  [117 journals]
  • A dual-gradient chemotaxis system modeling the spontaneous aggregation of
           microglia in Alzheimer’s disease
    • Authors: Hai-Yang Jin, Zhi-An Wang
      Pages: 307 - 338
      Abstract: Analysis and Applications, Volume 16, Issue 03, Page 307-338, May 2018.
      In this paper, we consider the following dual-gradient chemotaxis model ut = Δu −∇⋅ (χu∇v) + ∇⋅ (ξf(u)∇w),x ∈ Ω,t> 0,τ1vt = Δv + αu − βv, x ∈ Ω,t> 0,τ2wt = Δw + γu − δw, x ∈ Ω,t> 0, with [math] for [math] and [math] for [math], where [math] is a bounded domain in [math] with smooth boundary, [math] and [math]. The model was proposed to interpret the spontaneous aggregation of microglia in Alzheimer’s disease due to the interaction of attractive and repulsive chemicals released by the microglia. It has been shown in the literature that, when [math], the solution of the model with homogeneous Neumann boundary conditions either blows up or asymptotically decays to a constant in multi-dimensions depending on the sign of [math], which means there is no pattern formation. In this paper, we shall show as [math], the uniformly-in-time bounded global classical solutions exist in multi-dimensions and hence pattern formation can develop. This is significantly different from the results for the case [math]. We perform the numerical simulations to illustrate the various patterns generated by the model, verify our analytical results and predict some unsolved questions. Biological applications of our results are discussed and open problems are presented.
      Citation: Analysis and Applications
      PubDate: 2018-05-11T02:41:10Z
      DOI: 10.1142/S0219530517500087
       
  • Gradient estimates via rearrangements for solutions of some
           Schrödinger equations
    • Authors: Sibei Yang, Der-Chen Chang, Dachun Yang, Zunwei Fu
      Pages: 339 - 361
      Abstract: Analysis and Applications, Volume 16, Issue 03, Page 339-361, May 2018.
      In this paper, by applying the well-known method for dealing with [math]-Laplace type elliptic boundary value problems, the authors establish a sharp estimate for the decreasing rearrangement of the gradient of solutions to the Dirichlet and the Neumann boundary value problems of a class of Schrödinger equations, under the weak regularity assumption on the boundary of domains. As applications, the gradient estimates of these solutions in Lebesgue spaces and Lorentz spaces are obtained.
      Citation: Analysis and Applications
      PubDate: 2018-05-11T02:41:08Z
      DOI: 10.1142/S0219530517500142
       
  • Global well-posedness for the 3D viscous nonhomogeneous incompressible
           magnetohydrodynamic equations
    • Authors: Xiaoping Zhai, Yongsheng Li, Wei Yan
      Pages: 363 - 405
      Abstract: Analysis and Applications, Volume 16, Issue 03, Page 363-405, May 2018.
      In this paper, we investigate the Cauchy problem for the 3D viscous nonhomogeneous incompressible magnetohydrodynamic equations in critical Besov spaces. We aim at proving the local and global well-posedness for respectively large and small initial data having critical Besov regularity, without assumptions of small density variation.
      Citation: Analysis and Applications
      PubDate: 2018-05-11T02:41:06Z
      DOI: 10.1142/S0219530517500014
       
  • A fundamental solution for a nonelliptic partial differential operator, II
    • Authors: Peter Greiner, Yutian Li
      Pages: 407 - 433
      Abstract: Analysis and Applications, Volume 16, Issue 03, Page 407-433, May 2018.
      Let [math] denote the holomorphic tangential vector field to the generalized upper-half plane [math]. In our terminology, [math]. Consider the [math] operator on the boundary of [math], [math]; note that [math] is nowhere elliptic, but it is subelliptic with step three. The principal result of this paper is the derivation of an explicit fundamental solution [math] to [math]. Our approach is based on special functions and their properties.
      Citation: Analysis and Applications
      PubDate: 2018-05-11T02:41:12Z
      DOI: 10.1142/S0219530516500196
       
  • Convergent expansions of the incomplete gamma functions in terms of
           elementary functions
    • Authors: Blanca Bujanda, José L. López, Pedro J. Pagola
      Pages: 435 - 448
      Abstract: Analysis and Applications, Volume 16, Issue 03, Page 435-448, May 2018.
      We consider the incomplete gamma function [math] for [math] and [math]. We derive several convergent expansions of [math] in terms of exponentials and rational functions of [math] that hold uniformly in [math] with [math] bounded from below. These expansions, multiplied by [math], are expansions of [math] uniformly convergent in [math] with [math] bounded from above. The expansions are accompanied by realistic error bounds.
      Citation: Analysis and Applications
      PubDate: 2018-05-11T02:41:03Z
      DOI: 10.1142/S0219530517500099
       
  • 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
       
  • Quasi-normal modes for Dirac fields in the Kerr–Newman–de
           Sitter black holes
    • Authors: Alexei Iantchenko
      Pages: 1 - 76
      Abstract: Analysis and Applications, Ahead of Print.
      We provide the full asymptotic description of the quasi-normal modes (resonances) in any strip of fixed width for Dirac fields in slowly rotating Kerr–Newman–de Sitter black holes. The resonances split in a way similar to the Zeeman effect. The method is based on the extension to Dirac operators of techniques applied by Dyatlov in [Quasi-normal modes and exponential energy decay for the Kerr–de Sitter black hole, Commun. Math. Phys. 306(1) (2011) 119–163; Asymptotic distribution of quasi-normal modes for Kerr–de Sitter black holes, Ann. Henri Poincaré 13(5) (2012) 1101–1166] to the (uncharged) Kerr–de Sitter black holes. We show that the mass of the Dirac field does not have an effect on the two leading terms in the expansions of resonances. We give an expansion of the solution of the evolution equation for the Dirac fields in the outer region of the slowly rotating Kerr–Newman–de Sitter black hole which implies the exponential decay of the local energy. Moreover, using the [math]-normal hyperbolicity of the trapped set and applying the techniques from [Asymptotics of linear waves and resonances with applications to black holes, Commun. Math. Phys. 335 (2015) 1445–1485; Resonance projectors and asymptotics for [math]-normally hyperbolic trapped sets, J. Amer. Math. Soc. 28 (2015) 311–381], we give location of the resonance free band and the Weyl-type formula for the resonances in the band near the real axis.
      Citation: Analysis and Applications
      PubDate: 2018-02-05T03:47:22Z
      DOI: 10.1142/S0219530518500057
       
  • 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
       
  • Optimal recovery of multivariate functions restricted by second-order
           differential operator
    • Authors: Yi Gu, Yongping Liu
      Pages: 1 - 15
      Abstract: Analysis and Applications, Ahead of Print.
      We consider the class of functions on a convex body in [math], which are uniformly bounded by some second-order differential operator in any direction, and the class of periodic functions with respect to a full-rank lattice [math], which have the same restriction in any direction. We study the optimal recovery problems of these classes and obtain the estimate of the optimal algorithm that recovers functions with their values and gradient values at [math] nodes, respectively.
      Citation: Analysis and Applications
      PubDate: 2017-12-27T07:55:31Z
      DOI: 10.1142/S0219530517500166
       
  • Remarks on the complete synchronization for the Kuramoto model with
           frustrations
    • Authors: Seung-Yeal Ha, Hwa Kil Kim, Jinyeong Park
      Pages: 1 - 39
      Abstract: Analysis and Applications, Ahead of Print.
      The synchronous dynamics of many limit-cycle oscillators can be described by phase models. The Kuramoto model serves as a prototype model for phase synchronization and has been extensively studied in the last 40 years. In this paper, we deal with the complete synchronization problem of the Kuramoto model with frustrations on a complete graph. We study the robustness of complete synchronization with respect to the network structure and the interaction frustrations, and provide sufficient frameworks leading to the complete synchronization, in which all frequency differences of oscillators tend to zero asymptotically. For a uniform frustration and unit capacity, we extend the applicable range of initial configurations for the complete synchronization to be distributed on larger arcs than a half circle by analyzing the detailed dynamics of the order parameters. This improves the earlier results [S.-Y. Ha, H. Kim and J. Park, Remarks on the complete frequency synchronization of Kuramoto oscillators, Nonlinearity, 28 (2015) 1441–1462; Z. Li and S.-Y. Ha, Uniqueness and well-ordering of emergent phase-locked states for the Kuramoto model with frustration and inertia, Math. Models Methods Appl. Sci. 26 (2016) 357–382.] which can be applicable only for initial configurations confined in a half circle.
      Citation: Analysis and Applications
      PubDate: 2017-07-05T07:46:04Z
      DOI: 10.1142/S0219530517500130
       
  • An intrinsic formulation of the Kirchhoff–Love theory of linearly
           elastic plates
    • Authors: Philippe G. Ciarlet, Cristinel Mardare
      Pages: 1 - 20
      Abstract: Analysis and Applications, Ahead of Print.
      We recast the displacement-traction problem of the Kirchhoff–Love theory of linearly elastic plates as a boundary value problem with the bending moments and stress resultants inside the middle section of the plate as the sole unknowns, instead of the displacement field in the classical formulation. To this end, we show in particular how to recast the Dirichlet boundary conditions satisfied by the displacement field of the middle surface of a plate as boundary conditions satisfied by the bending moments and stress resultants.
      Citation: Analysis and Applications
      PubDate: 2017-04-11T11:48:27Z
      DOI: 10.1142/S0219530517500105
       
 
 
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