Subjects -> MATHEMATICS (Total: 1109 journals)
    - APPLIED MATHEMATICS (89 journals)
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    - MATHEMATICS (816 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (25 journals)
    - PROBABILITIES AND MATH STATISTICS (111 journals)

MATHEMATICS (816 journals)                  1 2 3 4 5 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
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: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 8)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 43)
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: 13)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 6)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 9)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 20)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 11)
Advances in Materials Science     Open Access   (Followers: 20)
Advances in Mathematical Physics     Open Access   (Followers: 9)
Advances in Mathematics     Full-text available via subscription   (Followers: 19)
Advances in Nonlinear Analysis     Open Access   (Followers: 1)
Advances in Numerical Analysis     Open Access   (Followers: 9)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Operator Theory     Hybrid Journal   (Followers: 4)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 10)
Advances in Pure Mathematics     Open Access   (Followers: 11)
Advances in Science and Research (ASR)     Open Access   (Followers: 9)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 10)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 3)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 8)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 13)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal   (Followers: 1)
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 12)
Anadol University Journal of Science and Technology B : Theoritical Sciences     Open Access  
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 7)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 5)
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access   (Followers: 9)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – 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: 14)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 3)
Annals of Mathematics     Full-text available via subscription   (Followers: 2)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 15)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 6)
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  
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 15)
Applied Mathematics     Open Access   (Followers: 8)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 11)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 4)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 2)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 4)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 23)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access   (Followers: 1)
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 3)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 7)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
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: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 2)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
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: 3)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 18)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 14)
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: 3)
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: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access   (Followers: 1)
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 22)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 4)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access  
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 3)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access   (Followers: 1)
Clean Air Journal     Full-text available via subscription   (Followers: 1)
CODEE Journal     Open Access   (Followers: 3)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 15)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 4)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 11)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus Mathematique     Full-text available via subscription  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 9)
Computational Mechanics     Hybrid Journal   (Followers: 6)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 10)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
Contributions to Discrete Mathematics     Open Access   (Followers: 2)
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: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access   (Followers: 3)
Demographic Research     Open Access   (Followers: 16)
Demonstratio Mathematica     Open Access  

        1 2 3 4 5 | Last

Similar Journals
Journal Cover
Computational Mathematics and Modeling
Journal Prestige (SJR): 0.241
Number of Followers: 9  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1573-837X - ISSN (Online) 1046-283X
Published by Springer-Verlag Homepage  [2626 journals]
  • Choice of Parameters in the Weighted Nuclear Norm Method for Image
           Denoising
    • Abstract: We consider the choice of image denoising parameters in an algorithm based on singular decomposition and minimization of the weighted nuclear norm. An automated parameter-choosing method is proposed that analyzes the structures on a difference image between the original noisy image and the denoised result and performs a quantitative assessment of the structures — computes the mutual information coefficient. We also analyze the choice of optimal parameters for different noise levels using a database of photographic images with normally distributed simulated noise. The denoising results are compared for the optimal choice of parameters and the choice of parameters by the mutual information coefficient, and also with denoising by a Peron–Malik diffusion algorithm.
      PubDate: 2020-10-17
       
  • Optimization of the Matrix Fourier-Filter for a Class of Nonlinear Optical
           Models with an Integral Objective Functional
    • Abstract: We consider a new formulation of the Fourier-filtering problem that uses matrix Fourier-filters as the controls in nonlinear optical models described by quasi-linear functional-differential diffusion equations. Solvability of the control problem is proved for various classes of matrix Fourier-filters with a time-integral objective functional. Differentiability of the functional with respect to the matrix Fourier-filter and convergence of a variant of the gradient projection method are proved. Examples of numerical simulation of controlled structure formation are presented, and the advantages of matrix Fourier-filters compared with traditional multiplier filters are demonstrated.
      PubDate: 2020-10-17
       
  • Fast Discrete Finite Hankel Transform for Equations in a Thin Annulus
    • Abstract: An algorithm is proposed for a fast discrete finite Hankel transform of a function in a thin annulus. The transform arises in a natural way in the Neumann boundary-value problem for the Poisson equation in an annulus when spectral methods are applied for its numerical solution. The proposed algorithm uses the limiting properties of eigenvalues and eigenfunctions of the Laplace operator as the annulus thickness goes to zero.
      PubDate: 2020-10-15
       
  • Universal Functions for Classes of Linear Functions of Three Variables
    • Abstract: We consider the construction of a universal function for classes of modulo 2 sums of three arguments. The definition domain of the universal functions is of cardinality Θ(log n).
      PubDate: 2020-10-15
       
  • A Two Dimensional Mathematical Model of Heat Propagation Equation and its
           Applications
    • Abstract: We propose a two-dimensional mathematical model based on Galerkin’s spatial method combined with a theta time scheme applied to the heat equations. This model has been applied to a hypothetical example in which the obtained results are compared with the real experimental data. This comparison allow us to predict the soil temperature at different depths as well as at different time periods according to certain conditions imposed on the weather.
      PubDate: 2020-10-15
       
  • Asymptotically Best Synthesis Methods for Reflexive-Recursive Circuits
    • Abstract: We introduce the notion of reflexive-recursive circuits and consider classes of many-output and scalar reflexive-recursive circuits of bounded depth in an arbitrary basis. Methods are proposed for deriving lower and upper bounds on the Shannon function for the complexity of circuits from these classes and asymptotic expressions are established. We also derive upper bounds for the realization complexity in these classes of circuits for some functions and systems of functions occurring in applications.
      PubDate: 2020-10-15
       
  • Generation of Nonhomogeneous Turbulent Velocity Fields by Modified
           Randomized Spectral Method
    • Abstract: A new version of the synthetic turbulent velocity generator is proposed for simulation of turbulent flows. The method is fully stochastic and generates a statistically anisotropic and nonhomogeneous random field, which provides the initial and boundary conditions for the deterministic eddy-resolving model of turbulence. The simulation method has been tested on a three-dimensional problem of developed turbulent channel flow.
      PubDate: 2020-10-15
       
  • Hybrid Parallelism in Finite Volume Based Algorithms in Application to
           Two-Dimensional Scattering Problem Setting
    • Abstract: We analyze the parallelism particularities of finite volume based computational algorithms. We use a problem set from electrodynamics and parallelize its solution. It serves as an example and illustration of our findings. The tests are carried out on the Zhores supercomputer. The hardware used to run parallel algorithms includes Nvidia Tesla V100 GPUs and Intel Xeon CPUs. We find that finite volume method discretizations work well with parallelization on GPUs. The speedup can be increased by proper CUDA optimizations. However, it is very resource consuming to perform all computations on supercomputer GPUs if the problem size is exceptionally big. Hence, it is necessary to harness every processing power that a supercomputer can offer including CPUs. We offer ways to parallelize the posed problem in a hybrid fashion.
      PubDate: 2020-10-15
       
  • Guaranteed Deterministic Approach to Superhedging: Sensitivity of
           Solutions of the Bellman-Isaacs Equations and Numerical Methods
    • Abstract: We consider a guaranteed deterministic formulation for the super-replication problem in discrete time: find a guaranteed coverage of a contingent claim on an option under all possible scenarios. These scenarios are specified by a priori compacta that depend on historical prices: the price increments at each instant should be in the corresponding compacta. We assume the presence of trading constraints and the absence of transaction costs. The problem is posed in a game-theoretical setting and leads to Bellman–Isaacs equations in both pure and mixed “market” strategies. In the present article, we investigate the sensitivity of the solutions to small perturbations of the compacta that describe price uncertainties over time. Numerical methods are proposed allowing for the problem’s specific features.
      PubDate: 2020-10-15
       
  • Search for Periodic Regimes in an Energy-Harvester Model by Simulation
    • Abstract: A model of an energy harvester is considered a system intended for the conversion of residual thermal energy into electric energy. Periodic motions are a key factor in the operation of the harvester. We search for model parameters that produce self-oscillations in the systems. The problem is solved by numerical simulation and evolutionary computation.
      PubDate: 2020-10-15
       
  • Interactions of a Heat Source Moving over a Visco-Thermoelastic Rod kept
           in a Magnetic Field in the Lord–Shulman Model under a Memory Dependent
           Derivative
    • Abstract: The Fractional derivative is a widely accepted theory to describe physical phenomena and the processes with memory effects which is defined in the form of convolution having kernels as power functions. Due to the shortcomings of power-law distributions, some other forms of derivatives with few other kernel functions are proposed. This present study deals with a novel mathematical model of generalized thermoelasticity to investigate the transient phenomena due to the influence of the magnetic field and moving heat source in a thermoelastic rod in the context of the Lord–Shulman (LS) theory of generalized thermo-visco-elasticity. Both ends of the rod are fixed and are thermally insulated. Employing the Laplace transform as a tool, the problem has been transformed into the space-domain and solved analytically. Finally, solutions in the real-time domain are obtained on applying the numerical inversion of the Laplace transform, which has been carried out employing the Riemann sum approximation method. Numerical computations for stress, displacement, and temperature within the rod is carried out and have been demonstrated graphically. The results also demonstrate how the speed of the moving heat source influences the thermophysical quantities. It is observed that the temperature, thermally induced displacement and stress of the rod are found to decrease at large source speed. Also, significant differences in the thermophysical quantities are revealed due to the influence of the magnetic field and memory effect
      PubDate: 2020-06-10
       
  • Optimal Resource Allocation in a Two-Sector Economy with an Integral
           Functional: Theoretical Analysis and Numerical Experiments
    • Abstract: We investigate the allocation of resources in a two-sector economic model with a Cobb–Douglas production function for different depreciation rates with an integral functional on a finite time horizon. The problem is reduced to some canonical form by the scaling of phase variables and time. The extremal solution constructed by Pontryagin’s maximum principle is shown to be optimal. For a sufficiently large planning horizon, the optimal control has two or three switch points, contains one singular section, and vanishes on the final section. A transition “calibration” regime is observed between the singular section, where the system moves along a singular ray, and the final section. The maximum-principle boundary-value problem is solved in explicit form and the solution is illustrated with graphs based on numerical calculations.
      PubDate: 2020-06-05
       
  • Optimal Strategies of a Production-Inventory Firm with Debt Repayment
    • Abstract: We consider a controlled model of a firm that produces to inventory while simultaneously repaying its debt. Maximization of a terminal functional for this model is considered. The corresponding optimal solutions are analyzed by Pontryagin’s maximum principle. All optimal controls are found depending on the parameters of the original model and the functional weighting coefficient. An appropriate economic interpretation is proposed for the results. Numerical calculations reported in the article establish validity of the theoretical results.
      PubDate: 2020-06-05
       
  • Similarity Solution and Numerical Analysis of the Steady Nanofluid Layer
           Induced by Gyrotactic Microorganisms Containing Wall Temperature
           Variations
    • Abstract: The problem of free convective steady boundary layer flows over a solid horizontal flat plate nested in a porous medium filled with a nanofluid containing gyrotactic microorganisms is considered. The exponent of the temperature, the nanoparticle volume fraction and the density of motile microorganisms are introduced to make the quantities dimensionless. The impacts of the considered exponent and bioconvection parameters on the dimensionless temperature, velocity, nanoparticle concentration and density of motile microorganisms along with Nusselt, Sherwood and motile microorganism numbers are tabulated and shown graphically. For a regular fluid and also for the isothermal case, the results are compared with the existing data and excellent compatibility is found.
      PubDate: 2020-06-05
       
  • A Linear Terminal-Control Problem with Phase Constraints
    • Abstract: We seek a control that satisfies the boundary conditions for a linear controlled system whose trajectory passes outside some neighborhood of a given phase-space point. Existence conditions are derived. Numerical calculations of the control and the trajectory are presented for an inertial system of second order.
      PubDate: 2020-06-04
       
  • Terminal Control Algorithm for a Nonlinear System with Phase Constraints
    • Abstract: We consider a terminal control problem for an underactuated nonlinear control system with phase constraints. The control is sought by the linearization method in which the control is determined by solving the Cauchy problem for a nonlinear parametric system of auxiliary differential equations. An auxiliary extremum problem with boundary conditions of general type is proposed for the numerical calculation of the control parameters. Examples of control are computed for a process with test parameters.
      PubDate: 2020-06-04
       
  • Investigation of a Quarrying Optimization Problem
    • Abstract: Controlled quarrying models have been considered in [1, 2] and elsewhere. These models are the product of a collaboration between the Department of Optimal Control at the Lomonosov State University’s Faculty of Computation Mathematics and Cybernetics and the international mining company BHPB Billiton. The present article is a continuation of [1, 2]. Our quarrying model is highly simplified. Yet it reflects some important theoretical aspects that arise in mining.
      PubDate: 2020-06-04
       
  • An Overlapping Numerical Method for a Partially Singularly Perturbed
           Initial Value Problem
    • Abstract: In this paper, we discuss the parameter-uniform overlapping numerical method for a coupled first-order system with prescribed initial conditions. An overlapping interval is used to form a numerical method for this problem. The problem is discretized using the mid-point difference scheme on the boundary and non-layer regions. The convergence analysis is given, and the method is proved to be second order uniformly convergent in maximum norm with respect to the singular perturbation parameter ' Numerical experiments are conducted to demonstrate the theoretical results.
      PubDate: 2020-06-04
       
  • Dynamic Optimization of the Controlled Model of the Kaldor Business Cycle
    • Abstract: We investigate a controlled version of the well-known business cycle model proposed by Nicholas Kaldor. The control is introduced by a parameter that characterizes demand stimulation by the state. The cost of the stimulating policy is a quadratic function; the instantaneous utility function is defined as the national income less demand-stimulation costs. We show that with nearly-maximal demand, an asymptotically stable stationary state always exists in the model. Under fairly general assumptions, we prove existence and uniqueness of the optimal stationary state. The problem of the shortest-time transition of the system to a given stationary state is considered. Numerical simulation results are reported. Keywords: dynamic models in economics, Kaldor business-cycle model, stability, optimality, stationary state, minimum-time problem.
      PubDate: 2020-06-04
       
  • Minimum-Time Optimal Control for a Model of Biological Wastewater
           Treatment
    • Abstract: We consider a mathematical model that describes biological treatment of wastewater. The model is a controlled nonlinear three-dimensional system of differential equations. A minimum-time optimal control problem is posed that achieves the required contaminant concentration in the shortest possible time. The problem is investigated by Pontryagin’s maximum principle. The optimal control in this problem is represented by a switching function and its properties are analyzed. The results of this analysis make it possible to reduce the solution of the problem to a successive application of finite-dimensional constrained minimization and the parameter continuation method. The application of these approaches is discussed in detail, and the relevant numerical results are reported.
      PubDate: 2020-06-04
       
 
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