Suchergebnisse - discrete approximation numerical (solution OR evolution) algorithm

Deep Learning Discrete Calculus (DLDC): a family of discrete numerical methods by universal approximation for STEM education to frontier research von Saha, Sourav, Park, Chanwook, Knapik, Stefan, Guo, Jiachen, Huang, Owen, Liu, Wing Kam

“… ), that uses the knowledge from discrete numerical methods to interpret the deep learning algorithms through the lens of applied mathematics …”
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The Art of Temporal Approximation: An Investigation into Numerical Solutions to Discrete- and Continuous-Time Problems in Economics von Eslami, Keyvan, Phelan, Thomas

“… In contrast, for concave lifecycle problems (in which age or time enters explicitly), simply iterating backwards from the terminal date in discrete time is superior to any continuous-time algorithm …”
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Discrete gradient flow approximations of high dimensional evolution partial differential equations via deep neural networks von Georgoulis, Emmanuil H., Loulakis, Michail, Tsiourvas, Asterios

“… We consider the approximation of initial/boundary value problems involving, possibly high-dimensional, dissipative evolution partial differential equations (PDEs …”
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Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities von Berthon, Christophe, Castro Díaz, Manuel J., Duran, Arnaud, Morales de Luna, Tomás, Saleh, Khaled

“… In the present work, we consider the numerical approximation of the weak solutions of first-order system of evolution laws supplemented with entropy inequalities …”
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A Multipoint Flux Approximation with a Diamond Stencil and a Non-Linear Defect Correction Strategy for the Numerical Solution of Steady State Diffusion Problems in Heterogeneous and Anisotropic Media Satisfying the Discrete Maximum Principle von Cavalcante, T. M., Filho, R. J. M. Lira, Souza, A. C. R., Carvalho, D. K. E., Lyra, P. R. M.

“… In the present paper, we solve the steady state diffusion equation in 3D domains by means of a cell-centered finite volume method that uses a Multipoint Flux Approximation with a Diamond Stencil …”
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Semi-discrete optimal transport: hardness, regularization and numerical solution von Taşkesen, Bahar, Shafieezadeh-Abadeh, Soroosh, Kuhn, Daniel

“… This insight prompts us to seek approximate solutions for semi-discrete optimal transport problems …”
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Numerical algorithms for generating an almost even approximation of the Pareto front in nonlinear multi-objective optimization problems von Dolatnezhadsomarin, Azam, Khorram, Esmaile, Yousefikhoshbakht, Majid

“… Since this set is usually infinite, it is impossible to generate it completely in practice. Therefore, a discrete approximation of the Pareto front is created …”
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Existence and discrete approximation for optimization problems governed by fractional differential equations von Bai, Yunru, Baleanu, Dumitru, Wu, Guo–Cheng

“… •The existence of weak Caratheodory solution for DOP is obtained.•A numerical approximation algorithm is introduced and a convergence theorem is established …”
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Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations von Liao, Hong-lin, Yan, Yonggui, Zhang, Jiwei

“… The resulting fast algorithm is computationally efficient in long-time simulations or small time-steps because it significantly reduces the computational cost O ( M N 2 ) and storage O ( MN …”
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Convergence of discrete approximation for differential linear stochastic complementarity systems von Luo, Jianfeng, Wang, Xiaozhou, Zhao, Yi

“… : P-matrix and positive semi-definite matrix. As for the first case, the sample average approximate method and time-stepping method are adopted to get the numerical solutions …”
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The Art of Temporal Approximation: An Investigation into Numerical Solutions to Discrete- and Continuous-Time Problems in Economics: The Art of Temporal Approximation: An Investigation von Eslami, Keyvan, Phelan, Thomas

“… In contrast, for concave lifecycle problems (in which age or time enters explicitly), simply iterating backwards from the terminal date in discrete time is superior to any continuous-time algorithm …”
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Synchronous deautoconvolution algorithm for discrete-time positive signals via I-divergence approximation von Finesso, Lorenzo, Spreij, Peter

“… We pose the problem of the optimal approximation of a given nonnegative signal yt with the scalar autoconvolution (x∗x …”
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Theoretical analysis and second-order approximation of solution of fractal-fractional differential equations with Mittag-Leffler Kernel von Atangana, Abdon, Nwaigwe, Chinedu

“… Some new uniqueness theorems are proposed and a flexible, efficient numerical algorithm is formulated and analysed for convergence and numerically verified for nonlinear fractal-fractional …”
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Tropical Solution of Discrete Best Approximation Problems von Krivulin, Nikolai

“… We consider discrete best approximation problems in the setting of tropical algebra, which is concerned with the theory and application of algebraic systems with idempotent operations …”
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A Comparison of Discrete Schemes for Numerical Solution of Parabolic Problems with Fractional Power Elliptic Operators von Čiegis, Raimondas, Čiegis, Remigijus, Dapšys, Ignas

“… The stability results are proved for all algorithms and the accuracy of obtained approximations is estimated by solving well-known test problems …”
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Multi-material design optimization of optical properties of particulate products by discrete dipole approximation and sequential global programming von Nees, Nico, Pflug, Lukas, Mann, Benjamin, Stingl, Michael

“… In this contribution, we suggest a new design optimization method in the framework of which the discrete dipole approximation (DDA …”
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Double Precision is not Necessary for LSQR for Solving Discrete Linear Ill-Posed Problems von Li, Haibo

“… The growing availability and usage of low precision floating point formats attracts many interests of developing lower or mixed precision algorithms for scientific computing problems …”
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Approximate Schur-Block ILU Preconditioners for Regularized Solution of Discrete Ill-Posed Problems von Cival Buranay, S., Iyikal, Ovgu C.

“… An algorithm is proposed to obtain regularized solution of ill-posed discrete problems with noisy data by constructing approximate Schur-Block Incomplete LU (Schur-BILU …”
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Semi and Fully Discrete Analysis of Extended Fisher–Kolmogorov Equation with Nonstandard FEMs for Space Discretisation von Das, Avijit, Nataraj, Neela, Chirappurathu Remesan, Gopikrishnan

“… A set of abstract hypotheses establish the approximation properties of the Ritz projection operator …”
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Control, Optimization, and Mathematical Modeling of Complex Systems

“… Complex systems have long been an integral part of modern life and can be encountered everywhere. Undertaking a comprehensive study of such systems is a …”
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