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MATHEMATICS (662 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: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 25)
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: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
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: 10)
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: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 4)
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: 9)
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 Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
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: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
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: 3)
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: 7)
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)
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: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
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: 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: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
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: 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: 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  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
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: 9)
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 the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
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: 1)
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: 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  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
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)
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: 4)
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: 6)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
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  
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)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     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: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  

        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  [2354 journals]
  • The Problem of Package Guidance with Incomplete Information for a Linear
           Control System with a Delay
    • Authors: P. G. Surkov
      Pages: 504 - 516
      Abstract: The control-package method is applied to solve the problem of constructing guaranteed positional guidance for a linear control dynamical system with a delay under incomplete information about the initial state. The problem is solved for the case when the initial state is contained in a compact functional set. A solvability criterion and a method for the construction of a guidance program package are proposed. The proposed procedure is applied to a particular linear control system of delayed differential equations.
      PubDate: 2017-10-01
      DOI: 10.1007/s10598-017-9377-y
      Issue No: Vol. 28, No. 4 (2017)
  • Hyperchaotic Analysis and Adaptive Projective Synchronization of Nonlinear
           Dynamical System
    • Authors: A. Khan; M. A. Bhat
      Pages: 517 - 530
      Abstract: In this paper, a new nonlinear dynamical system has been studied which is obtained from the 3D chaotic system. The hyperchaotic analysis of the new system is checked in terms of dissipation, equilibrium points and their stability, Lyapunov exponent, time series, phase portraits, Poincaré section and bifurcation diagram. Furthermore, the adaptive projective synchronization technique is used to synchronize the novel hyperchaotic system. A brief theoretical analysis and simulation results are presented to prove the behavior of the novel hyperchaotic system.
      PubDate: 2017-10-01
      DOI: 10.1007/s10598-017-9378-x
      Issue No: Vol. 28, No. 4 (2017)
  • Quadcopter Terminal Control in the Presence of Disturbances
    • Authors: V. P. Gor’kov; N. L. Grigorenko; A. E. Rumyantsev
      Pages: 531 - 549
      Abstract: We construct a mathematical model of quadcopter flight and design a positional control that solves the terminal control problem in the presence of a disturbance parameter. The study relies on the results of [6–9] and provides sufficient existence conditions for a positional control that solves the control problem for a class of boundary conditions.
      PubDate: 2017-10-01
      DOI: 10.1007/s10598-017-9379-9
      Issue No: Vol. 28, No. 4 (2017)
  • Modeling of Environmental-Economic Indicators of Regional Development
    • Authors: B. V. Digas; V. L. Rozenberg
      Pages: 550 - 560
      Abstract: One of the current topical problems is the prediction of climate change and mitigation of its consequences. All-sided analysis of ecological, economic, and social aspects of climate issues relies on interdisciplinary assessment models. This article adapts the MERGE optimization model to the current state of the world economy and introduces into the model a new component that implements a simplified procedure of “green” GDP calculation (“green” GDP, or GGDP, provides information about the efficiency of use of environmental resources). The objective of our numerical simulations is to tests the consequences of Russia’s hypothetical participation in the program for reducing greenhouse gas (GHG) emissions and to analyze the environmental indicators of Russia’s GDP. The input data are mainly provided by the project of scenario conditions and main macroeconomic parameters for the forecasting of socio-economic development in Russia in the near future implemented by the Ministry of Economic Development of the Russian Federation. The calculations reveal the existence of reserves for Russia’s “painless” participation in environment-preserving initiatives that call for not exceeding the 1990 emission level in 2020–2025. At the same time, increasing the environmental efficiency of Russia’s GDP is a relevant task that requires immediate attention.
      PubDate: 2017-10-01
      DOI: 10.1007/s10598-017-9380-3
      Issue No: Vol. 28, No. 4 (2017)
  • Numerical Analysis of the Maximum Principle Boundary-Value Problem for the
           Influenza Virus Spread Model
    • Authors: S. M. Orlov
      Pages: 561 - 571
      Abstract: We consider the optimal control problem for a model of the spread of the influenza virus ignoring natural births and deaths. The problem is investigated by the Pontryagin maximum principle. A maximum principle boundary-value problem is constructed and it is analyzed numerically by the parameter continuation method. The best control is obtained in the class of piecewise-constant controls with one switching point, which is of definite interest in applications. The functional value under this control is worse by approximately 12.8% than the functional value under extremal control.
      PubDate: 2017-10-01
      DOI: 10.1007/s10598-017-9381-2
      Issue No: Vol. 28, No. 4 (2017)
  • Reachable Set of a Control Model for Two-Step Wastewater Biotreatment
    • Authors: E. N. Khailov; E. V. Grigorieva
      Pages: 572 - 605
      Abstract: We consider a mathematical model describing a two-step process of wastewater biotreatment. This is a four-dimensional nonlinear system of differential equations with a scalar constraint on the control. The Pontryagin maximum principle is applied to investigate the boundary of the reachable set in this system. Among the possible parameter values and initial conditions of the model, we identify those for which piecewise-constant controls corresponding to boundary points of the reachable set have at most one, two, and three switching points.
      PubDate: 2017-10-01
      DOI: 10.1007/s10598-017-9382-1
      Issue No: Vol. 28, No. 4 (2017)
  • Numerical Method of Determining the Excitation Source for the
           Fitzhugh–Nagumo Mathematical Model
    • Authors: S. R. Tuikina; S. I. Solov’eva
      Pages: 301 - 309
      Abstract: We consider the inverse problem for the two-dimensional modified FitzHugh–Nagumo model in the presence of an infarct. The inverse problem determines the myocardium excitation source function (a function of space variables and time) from a system of partial differential equations. Additional dynamic measurements of the potential are carried out on the entire inside boundary of the region representing a cross-section of the heart and its ventricles by a horizontal plane, which fits the real heart geometry. A numerical method is proposed for the solution of this inverse problem with the discrepancy functional; numerical results are reported.
      PubDate: 2017-07-01
      DOI: 10.1007/s10598-017-9365-2
      Issue No: Vol. 28, No. 3 (2017)
  • Spectral Method to Investigate the Dependence of MHD Stability of an
           Electrolysis Bath on the Shape of the Skull
    • Authors: N. P. Savenkova; A. Yu. Mokin; V. P. Il’yutko
      Pages: 310 - 315
      Abstract: We consider the dependence of the MHD stability of an electrolysis bath on the shape of the work space. As the optimal work-space shape we choose the one that achieves the best separation of the eigenvalues in the spectrum of the multidimensional problem posed for the kinematic equation for the electrolytealuminum interface in a particular electrolysis bath.
      PubDate: 2017-07-01
      DOI: 10.1007/s10598-017-9366-1
      Issue No: Vol. 28, No. 3 (2017)
  • Optimal Resource Allocation in a Two-Sector Economic Model with an
           Integral Functional
    • Authors: Yu. N. Kiselev; S. N. Avvakumov; M. V. Orlov; S. M. Orlov
      Pages: 316 - 338
      Abstract: We investigate the resource allocation problem in a two-sector economic model with a Cobb-Douglas production function with different depreciation rates. The problem is considered on a finite time horizon with an integral type functional. Optimality of the extremum solution constructed by the Pontryagin maximum principle is established. When the planning horizon is sufficiently long, the optimal control has two or three switching points, contains one singular section, and vanishes on the terminal section. A transitional “calibration” regime exists between the singular section, where the motion is along a singular ray, and the terminal section. The solution of the maximum-principle boundary-value problem is presented in explicit form, accompanied by graphs based on numerical results.
      PubDate: 2017-07-01
      DOI: 10.1007/s10598-017-9367-0
      Issue No: Vol. 28, No. 3 (2017)
  • Analysis of Pulse Wave Similarity in Photoplethysmograms
    • Authors: A. M. Golovina; A. G. D’yakonov; O. A. Kharatsidi
      Pages: 339 - 349
      Abstract: The article focuses on the analysis of photoplethysmograms. The quality of a photoplethysmogram is assessed by solving the classification problem, i.e., identifying the patient from the photoplethysmogram. Efficient patient identification methods are proposed, including methods based on DTW and TWED metrics. Identification accuracy reaches 70%.
      PubDate: 2017-07-01
      DOI: 10.1007/s10598-017-9368-z
      Issue No: Vol. 28, No. 3 (2017)
  • Numerical Investigation of Transient Free Convective Flow in Vertical
    • Authors: Basant K. Jha; Babatunde Aina
      Pages: 350 - 367
      Abstract: The present work consists of a numerical investigation of transient free convective flow in vertical channel formed by two infinite vertical parallel plates filled with porous material in the presence of thermal dispersion. The governing coupled-nonlinear equations of momentum and energy transport are solved numerically using the implicit finite difference method, while the approximate analytical solution is also presented to find the expression for velocity, temperature, skin friction, and rate of heat transfer for the steady fully developed flow using the perturbation technique. The main objective is to investigate the effects of the dimensionless time, Darcy number, thermal dispersion, and Prandtl number on the fluid flow and heat transfer characteristics. Solutions are presented in graphical form and given in terms of fluid velocity, fluid temperature, skin friction, and rate of heat transfer for various parametric values. The significant result from this study is that velocity and temperature is enhanced with increase in thermal dispersion parameter and time. Furthermore, excellent agreement is found between the steady-state solution and the transient solution at large values of time.
      PubDate: 2017-07-01
      DOI: 10.1007/s10598-017-9369-y
      Issue No: Vol. 28, No. 3 (2017)
  • A Bound on the Probability of Ruin in Merton’s Model
    • Authors: V. V. Morozov; V. A. Babin
      Pages: 368 - 376
      Abstract: We consider a modified Merton’s model of optimal consumption that allows for the utility of continuous and terminal consumption. An explicit solution of the Hamilton-Jacoby-Bellman equation is found. An upper bound is constructed on the probability of an event involving either investor ruin or negative consumption.
      PubDate: 2017-07-01
      DOI: 10.1007/s10598-017-9370-5
      Issue No: Vol. 28, No. 3 (2017)
  • Mathematical Models of Investment Cycles
    • Authors: E. S. Kurkina
      Pages: 377 - 399
      Abstract: We propose and investigate three mathematical models describing production cycles. They incorporate various mechanisms of endogenous fluctuations in economic systems. The models are based on ODE systems. The first model is a Keynesian IS-LM model of business cycles. The interest rate is determined by the money market and influences the relationship between savings and investments, allowing funds to flow from one to the other and vice versa. In the second case, the fluctuation mechanism is associated with time lags between investment growth, capital growth, and rate of return on capital. As a result, the economy periodically “overheats”, as rapid growth of capital suppresses the return rates, production becomes unprofitable, and investments sharply decline. Two models realizing this mechanism are proposed. One is a minimalist model based on a system of three ODEs. The other is an augmented model that sufficiently fully describes modern economic systems of developed countries and consists of nine ODEs and nine algebraic equations. It encompasses all the principal markets: labor market, capital market, financial market, and commodity market. Bifurcation analysis of the three models is carried out, oscillation regions are determined, and oscillation mechanisms are examined in detail. The model parameters are chosen so that the cycle periods are 12–17 years long.
      PubDate: 2017-07-01
      DOI: 10.1007/s10598-017-9371-4
      Issue No: Vol. 28, No. 3 (2017)
  • Methods to Increase Fault Tolerance of Combinational Integrated
           Microcircuits by Redundancy Coding
    • Authors: S. V. Gavrilov; S. I. Gurov; T. D. Zhukova; V. S. Rukhlov; D. I. Ryzhova; D. V. Tel’pukhov
      Pages: 400 - 406
      Abstract: Increasing the operating reliability of integrated microcircuits (IMC) remains, on the whole, an unsolved design problem. An important aspect of this problem is the stability of the circuits under transient faults (malfunctions) in large integrated circuits. Faults appear due to various disturbances: radiation, supply voltage jumps, signal degradation over time, etc. Investigations show that the probability of an error due to these factors may vary between very wide limits: from less than 0.1% for large circuits and up to 30% for very small circuits. In this article, we consider various methods of enhancing the fault tolerance of combinational circuits and also assess the effect of a single fault and a stuck-at fault on circuit operation for the case of combinational circuits from the ISCAS’85 set.
      PubDate: 2017-07-01
      DOI: 10.1007/s10598-017-9372-3
      Issue No: Vol. 28, No. 3 (2017)
  • Convexity/Concavity and Stability Aspects of Rational Cubic Fractal
           Interpolation Surfaces
    • Authors: A. K. B. Chand; N. Vijender; M. A. Navascués
      Pages: 407 - 430
      Abstract: Fractal interpolation is more general than the classical piecewise interpolation due to the presence of the scaling factors that describe smooth or non-smooth shape of a fractal curve/surface. We develop the rational cubic fractal interpolation surfaces (FISs) by using the blending functions and rational cubic fractal interpolation functions (FIFs) with two shape parameters in each sub-interval along the grid lines of the interpolation domain. The properties of blending functions and C 1-smoothness of rational cubic FIFs render C 1-smoothness to our rational cubic FISs. We study the stability aspects of the rational cubic FIS with respect to its independent variables, dependent variable, and first order partial derivatives at the grids. The scaling factors and shape parameters seeded in the rational cubic FIFs are constrained so that these rational cubic FIFs are convex/concave whenever the univariate data sets along the grid lines are convex/concave. For these constrained scaling factors and shape parameters, our rational cubic FIS is convex/concave to given convex/concave surface data.
      PubDate: 2017-07-01
      DOI: 10.1007/s10598-017-9373-2
      Issue No: Vol. 28, No. 3 (2017)
  • Numerical Simulation of Singularly Perturbed Reaction-Diffusion Equation
           Using Finite Element Method
    • Authors: Akanksha Srivastava
      Pages: 431 - 447
      Abstract: This article deals with the study of sign-changing solutions of the nonlinear singularly perturbed reaction-diffusion equation. Sign changing solutions of the nonlinear problem do not appear to have been previously studied in detail computationally, and it is hoped that this paper will help to provide a new idea in this direction. A variant of Newton’s method having tenth order of convergence has been established to linearize the nonlinear system of equations. Examples of the nonlinear problem having nonlinearities in homogeneous/nonhomogeneous form are considered to show the existence of solutions.
      PubDate: 2017-07-01
      DOI: 10.1007/s10598-017-9374-1
      Issue No: Vol. 28, No. 3 (2017)
  • A Nonlinear Two-Dimensional Time-Optimal Control Problem
    • Authors: A. O. Novikova
      Abstract: A two-dimensional time-optimal problem with nonlinear gravity is investigated. The Pontryagin maximum principle is applied to solve the problem. The controllability set is investigated, the extremal control and the extremal time function are determined, optimality is proved by regular synthesis.
      PubDate: 2017-11-04
      DOI: 10.1007/s10598-017-9376-z
  • Optimal Control in the Resource Allocation Problem for a Two-Sector
           Economy with a CES Production Function
    • Authors: Yu. N. Kiselev; S. N. Avvakumov; M. V. Orlov
      Abstract: We consider the resource allocation problem in a two-sector economy with a Constant Elasticity of Substitution (CES) production function on a given sufficiently long finite planning horizon. The performance criterion being optimized is one of the phase coordinates at the terminal time. The scalar control u satisfies the geometrical constraint u ∈ [0, 1]. The optimal control contains a singular section. Analyzing the Pontryagin maximum principle boundary-value problem we find the extremal triple and prove its optimality using a special representation of the functional increment (the theorem of sufficient conditions of optimality in terms of maximum-principle constructs). The solution is constructed with the aid of a Lambert special function y = W(x), that solves the equation ye y = x. The optimal control consists of three sections: the initial section that involves motion toward the singular ray L sng = {x 1 = x 2 > 0} , the singular section that involves motion along the singular ray, and terminal section that involves motion under zero control. When the initial state is on the singular ray, the optimal control consists of two sections — singular and terminal. The article is related to a number of the authors’ publications using other production function.
      PubDate: 2017-11-04
      DOI: 10.1007/s10598-017-9375-0
  • Generalization of the Optical Theorem to the Case of Excitation of a Local
           Obstacle by a Multipole
    • Authors: Yu. A. Eremin
      Abstract: The optical theorem is generalized to the case of excitation of a local body by a multipole. To compute the extinction cross-section, it is sufficient to find the derivatives of the scattered field at the single point where the multipole is located. The relationship obtained in this article makes it possible to test software modules developed for studying wave diffraction on transparent bodies.
      PubDate: 2017-03-20
      DOI: 10.1007/s10598-017-9354-5
  • A Method for the Recovery of Suface Waves From Seismic Data
    • Authors: Yang Jianxun
      Abstract: A new method for seismic data processing is considered. Surface traveling waves are recovered from these data and wave-dependent coefficients are determined. The results of the proposed method are consistent with the results reported by other Chinese researchers [4, 5].
      PubDate: 2017-03-20
      DOI: 10.1007/s10598-017-9361-6
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