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MATHEMATICS (701 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: 3)
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: 16)
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: 27)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
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: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 6)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 18)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 2)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 12)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
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: 5)
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: 10)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
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: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
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: 4)
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: 3)
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  
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: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 6)
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: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 1)
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: 1)
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)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 3)
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: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 11)
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: 3)
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: 20)
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: 6)
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: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
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: 9)
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: 7)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 10)
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: 28)
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 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 Computational Mathematics and Modeling
  [SJR: 0.191]   [H-I: 9]   [8 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1573-837X - ISSN (Online) 1046-283X
   Published by Springer-Verlag Homepage  [2351 journals]
  • A Method for Approximate Analysis of Courant Stability of
           Central-Difference Schemes with Boundary Conditions
    • Authors: L. V. Dorodnitsyn
      Abstract: We consider central-difference schemes for the transport equation that can be integrated over time by explicit multistage Runge–Kutta methods. Such algorithms are the basis for modeling in modern aeroacoustics problems. Their stability is determined by the hyperbolic Courant number. The effect of discrete boundary conditions on the stability of the schemes is investigated. A procedure is proposed for approximate analysis of high-frequency modes that are responsible for the value of the maximum time increment. A three-point central-difference scheme with various boundary conditions is studied in detail and quantitative results are obtained for the analytical method error. We conclude that the boundary conditions have but a marginal effect on the maximum Courant number.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9400-y
  • A Discrete Multilevel Attack-Defense Model with Nonhomogeneous Opponent
    • Authors: A. G. Perevozchikov; V. Yu. Reshetov; I. E. Yanochkin
      Abstract: The article generalizes Germeier’s attack-defense model to allow for integer-valued and nonhomogeneous opponent resources and echeloned defense. It performs target allocation by solving the classical transportation problem on each level, which leads to discrete minimax problems for the best guaranteed defense outcome. These minimax problems can be solved by a coordinatewise-descent method based on a discrete analogue of Germeier’s equalization principle.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9396-3
  • A Mathematical Model of Pension Fund Operation and Methods of Fund
           Stability Analysis
    • Authors: A. A. Belolipetskii; M. A. Lepskaya
      Abstract: We consider the probability of ruin of a pension fund on a finite time interval. The basis is provided by the standard Cramer–Lundberg model, which is modified by specifying enrolment and contribution parameters in the form of random variables. A number of factors may be treated as random variables in the model: the date of member’s death, members’ wages, the number of fund members, financial indicators (discounting and return rates, inflation, wage growth rates). Each of these factors specified as a random variable affects the nondeterministic behavior of the fund’s receipts and payouts. In this article, the random factors include the number of members joining the pension fund in the relevant year and random mortality.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9404-7
  • Phase Portraits of a System of Two Interacting Actors
    • Authors: E. S. Kurkina
      Abstract: The article investigates the dynamics of various interactions between two partners described by a system of two nonlinear ordinary differential equations. The partners may be various social subjects, ranging from individuals and social groups to states and nations. The models are an extension of the Murray–Gottman model originally proposed to describe relationships between married people. New functions are introduced describing the own behavior of the actors in the absence of interactions as well as functions modeling the mutual influence of the partners. Phase portraits are constructed for systems with excitable, self-sufficient, and some other types of actors that do not strive to attain a neutral state, as in the Murray–Gottman model. New types of dynamic behavior are discovered. In particular, two nonlinear conservative models are proposed that demonstrate an oscillatory dynamic about the center. The models examined in this article demonstrate a rich set of phase portraits and may be applied to model various social interactions between two partners.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9399-0
  • Designing a Transport System for a Multinode Competitive Market with
           Variable Demand
    • Authors: A. A. Vasin; I. A. Lesik; O. M. Grigor’eva
      Abstract: We consider the design of a transport network in a multinode market assuming time-dependent nonstationary demand. A gradient algorithm is proposed for capacity optimization of transport lines in the network. Numerical results are reported.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9402-9
  • Remarks on “Application of Mixed Quadrature Rule on Electromagnetic
           Field Problems”
    • Authors: G. V. Milovanović
      Abstract: Numerical integration of one class of quasi-singular integrals appearing in the convenient formulas of electromagnetic field components and potential functions of linear source distributions is considered. Some comments to a recent paper by S.R. Jena, D. Nayak, and M.M. Acharya [Comput. Math. Modeling, 28, 267–276 (2017)] on this subject are given, as well as some illustrative numerical examples.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9401-x
  • Investigating the Causes of Glaucoma: Mathematical Modeling of the
           Hydrodynamics of Fluid Outflow Through Schlemm’s Canal
    • Authors: V. S. Laponin; S. A. Skladchikov; N. P. Savenkova; V. V. Novoderezhkin
      Abstract: The article describes the reasons for elevated intraocular pressure due to obstruction of fluid outflow, which may lead to the development of glaucoma, cataract, and other pathologies. Mathematical modeling is carried out of the dynamics of fluid flow in the eye anterior chamber near and inside Schlemm’s canal. The effect of the position of Schlemm’s canal on the quality of fluid outflow from the eye is investigated in detail.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9397-2
  • Applied Quantum Physics for Novel Quantum Computation Approaches: an
    • Authors: S. Manzetti
      Abstract: Quantum information processing is a critical part of the development of future computers, quantum computers, and quantum algorithms, where elementary particles such as photons and electrons can be applied in optomagnetic or optoelectronic devices. The computational physics behind these emerging approaches is also experiencing dramatic developments. In this paper I report on the most recent mathematical basics for quantum algorithms and quantum computing approaches. Some of these described approaches show intriguing methods for determining the states and wavefunction properties for anyons, bosons, and fermions in quantum wells that have been developed in the last years. The study also shows approaches based on N-quantum states and the reduced 1- and 2-fermion picture, which can be used for developing models for anyons and multi-fermionic states in quantum algorithms. Also, antisymmetry and generalized Pauli constraints have been given particular emphasis and include establishing a basis for pinning and quasipinning for exploring the symmetric states of many-fermionic subsets, as a foundation for quantum information processing, and are here briefly revisited. This study summarizes the developments in recent years of an advanced and important field for future computational techniques.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9405-6
  • Magnetotelluric Sounding of a Layered Medium Containing Thin
           Nonhomogeneous Layers
    • Authors: V. I. Dmitriev
      Abstract: The article investigates the inverse sounding problem for a nonhomogeneous thin layer given the field on the surface of the half-space. A uniqueness theorem is proved for the solution of the inverse problem.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9395-4
  • A Parity-Check Spectral R-Code
    • Authors: S. I. Gurov
      Abstract: This article introduces a parity-check code based on the Rademacher function. The error-correction model of the code corresponds to a binary symmetrical channel: bits may be inverted randomly and independently, but no bit insertion/bit omission occurs. The code corrects a single error; its redundancy and coding/decoding features are virtually identical with those of the Hamming code, but it has clear advantages for application of redundant coding in fault-tolerant integrated-circuit design.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9403-8
  • Food-Consumer Interactions: Role of Time – Varying Key Parameters
           – a New Perspective
    • Authors: P. Raja Sekhara Rao; K. Venkata Ratnam; P. Lalitha
      Abstract: In this article, we have considered a simple food-consumer dynamic model in which the supply of food and the death of consumer species play the major role. The parameters representing these factors are allowed to vary with respect to time. It is established that by proper selection of these parameter functions, the system may be made to approach a desired state. It is noticed that these parameters define a space of equilibria for the given system in the limiting case. In case of different consumer species surviving on the same food, when there is no interference in consumption of one by the other, the growth is as desired. Growth is not as desired when one of the species is interfering with the food consumption of the other and the growth of the larger consumer is dominating. By simple variations in the death/removal of dominating species, the situation may be reversed in favor of the other species. The growth is as desired when the parameters are fixed constants. Examples are provided to understand the results and to illustrate various situations. The approach is tried on a popular mathematical model of biology to draw some useful conclusions. The study opens interesting problems for further research.
      PubDate: 2018-02-24
      DOI: 10.1007/s10598-018-9398-1
  • Numerical Determination of the Initial Condition in Cauchy Problems for a
           Hyperbolic Equation with a Small Parameter
    • Authors: A. M. Denisov; S. I. Solov’eva
      Abstract: Numerical methods are proposed for determining the initial condition in Cauchy problems for a hyperbolic equation with a small parameter multiplying the highest-order derivative. Additional information for the inverse problem is provided by the solution of the Cauchy problem specified at x = 0 as a function of time. Results of numerical calculations illustrating the potential of the proposed method are reported.
      PubDate: 2018-01-12
      DOI: 10.1007/s10598-018-9383-8
  • New Algorithms for Solving Singular Linear System
    • Authors: R. Buzhabadi
      Abstract: The DFOM method is an iterative method for computing the Drazin-inverse solution of consistent or inconsistent linear systems of the form Ax = b, where A ϵ ℂ n × n is a singular and in general non-Hermitian matrix that has an arbitrary index. This method is generally used with restarting. But the restarting often slows down the convergence and DFOM often stagnates. We show that adding some approximate error vectors or approximate eigenvectors (corresponding to a few of the smallest eigenvalues) to the Krylov subspace can improve the convergence just like the method proposed by R. Morgan in [8]. We derive the implementation of these methods and present some numerical examples to show the advantages of these methods.
      PubDate: 2018-01-06
      DOI: 10.1007/s10598-018-9389-2
  • Numerical Investigation of Wave Formation in an Annular Channel
    • Authors: V. S. Laponin; S. A. Skladchikov; N. P. Savenkova
      Abstract: The article presents numerical modeling of the formation of a solitary wave in an annular channel under the action of a continuous wind generated by several sources distributed across the channel. The numerical results are compared with experimental data. Efficient application of parallel computational resources, produces a good result in acceptable time. The proposed model simulates the formation of solitary waves and the interaction of two nonlinear waves, and also produces the conditions of formation of 1, 2, 3, and 4 waves on a liquid surface.
      PubDate: 2018-01-06
      DOI: 10.1007/s10598-018-9391-8
  • An Initial Value Method for Solving Singularly Perturbed Boundary Value
           Problems Using Adaptive Grids
    • Authors: J. Mohapatra; M. K. Mahalik
      Abstract: In this paper, an initial value technique is presented to solve singularly perturbed two-point boundary value problems. Using the basic idea of the well known Wentzel – Kramers – Brillouin (WKB) method, an approximation due to asymptotic expansion of the solution of the problem is constructed. The original problem is reduced to a combination of an initial value problem and a terminal value problem. The terminal value problem is solved by the trapezoidal method and then the initial value problem is solved by the backward Euler method on an appropriate nonuniform mesh constructed adaptively by equidistributing a positive monitor function based on the solution. An error estimate is derived, and numerical experiments are conducted to illustrate the efficiency of the proposed method.
      PubDate: 2018-01-06
      DOI: 10.1007/s10598-018-9387-4
  • S -Regular Controlled Plants
    • Authors: M. S. Nikol’skii
      Abstract: We derive constructive sufficient conditions for linear controlled plants that guarantee a simple structure of the optimal controls in the time-optimal control problem. Strict convexity of the reachability set is proved for S-regular controlled plants. Uniqueness theorems for the optimal control are obtained.
      PubDate: 2018-01-06
      DOI: 10.1007/s10598-018-9394-5
  • Approximation of Electrocardiograms with Help of New Mathematical Methods
    • Authors: S. V. Aliukov
      Abstract: The problem of approximation of electrocardiograms has a great practical importance and it is constantly in the field of research. Solution of this problem allows us to automate and computerize the process of diagnosis and to detect timely deviations from normal characteristics of cardiograms of heartbeat in the early stages of appearance and development of a disease. There are different methods for approximation of cardiograms. All these methods have their drawbacks. The article deals with new methods of approximation of cardiograms, which do not have any disadvantages of the known methods. The developed mathematical models are based on new methods of approximation of step functions, and these methods can significantly reduce errors of the approximation of cardiograms. In this paper new methods of approximation of step functions with estimation of errors of the approximation are supposed. The proposed methods do not have any drawbacks of traditional expansions of step functions in Fourier series and can be used in problems of mathematical modeling of a wide class of processes and systems, in particular, for solution of medical and biological problems.
      PubDate: 2018-01-06
      DOI: 10.1007/s10598-018-9388-3
  • Numerical Solution of the Inverse Scattering Problem for the Acoustic
           Equation in an Absorptive Layered Medium
    • Authors: A.V. Baev
      Abstract: We consider a nonlinear ordinary differential equation associated with a number of inverse scattering problems in acoustic and seismic sounding in which acoustic impedance and an impedance-dependent unknown damping coefficient are the unknown function. We prove that the Cauchy problem is uniquely solvable when the derivative is treated as a generalized function. It is established that the inverse scattering problem in a layered dissipative medium simultaneously determines the acoustic impedance and the damping coefficient. A regularized numerical algorithm is proposed and numerical results are reported.
      PubDate: 2018-01-06
      DOI: 10.1007/s10598-018-9390-9
  • Properties of Consistent Grid Operators for Grid Functions Defined Inside
           Grid Cells and on Grid Faces
    • Authors: N. V. Ardelyan; K. V. Kosmachevskii; M. N. Sablin
      Abstract: Using grids (meshes) formed from polyhedra (polygons in the two-dimensional case), we consider differential and boundary grid operators that are consistent in the sense of satisfying the grid analog of the integral identity – a corollary of the formula for the divergence of the product or a scalar by a vector. These operators are constructed and applied in the Mimetic Finite Difference (MFD) method, in which grid scalars are defined inside the grid cells and grid vectors are defined by their local normal coordinates on the planar faces of the grid cells. We show that the basic grid summation identity is a limit of an integral identity written for piecewise-smooth approximations of the grid functions. We also show that the MFD formula for the reconstruction of a grid vector field is obtained by approximation analysis of the summation identity. Grid embedding theorems are proved, analogous to well-known finite-difference embedding theorems that are used in finite-difference scheme theory to derive prior bounds for convergence analysis of the solutions of finite-difference nonhomogeneous boundary-value problems.
      PubDate: 2018-01-05
      DOI: 10.1007/s10598-018-9384-7
  • A Mathematical-Statistics Approach to the Least Squares Method
    • Authors: A. G. Belov
      Abstract: We consider a mathematical-statistics approach to least-squares parameter estimation in a linear multiple regression model. This approach has led to a detailed description of the basic premises for the emergence and application of the least-squares method, produced a number of general distributional and statistical formulas for the estimation of model parameters independently of a specific joint distribution of the random variables, provided a deeper understanding of the parameter estimation risks associated with model specification errors, and made it possible to identify the place and role of knowledge of the theoretical and empirical distributions of observation errors.
      PubDate: 2018-01-05
      DOI: 10.1007/s10598-018-9385-6
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Heriot-Watt University
Edinburgh, EH14 4AS, UK
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