Search Results - discrete approximation numerical evolution algorithm
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Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.12.2023Published in Journal of scientific computing (01.12.2023)“…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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Discrete gradient flow approximations of high dimensional evolution partial differential equations via deep neural networks
ISSN: 1007-5704, 1878-7274Published: Elsevier B.V 01.02.2023Published in Communications in nonlinear science & numerical simulation (01.02.2023)“…We consider the approximation of initial/boundary value problems involving, possibly high-dimensional, dissipative evolution partial differential equations (PDEs…”
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A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes
ISSN: 0021-9991, 1090-2716Published: Cambridge Elsevier Inc 15.04.2021Published in Journal of computational physics (15.04.2021)“… Using the method of lines, we introduce a numerical algorithm for the singular initial value problem when data are imposed on the cosmological singularity and the evolution is performed…”
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4
Discrete Lagrangian algorithm for finding geodesics on triangular meshes
ISSN: 1088-8691, 0307-904XPublished: New York Elsevier BV 01.12.2019Published in Applied Mathematical Modelling (01.12.2019)“…The present paper introduces an approximation method for finding open geodesics on triangular surfaces…”
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Turbo Compressed Sensing with Partial DFT Sensing Matrix
ISSN: 1070-9908, 1558-2361Published: New York IEEE 01.02.2015Published in IEEE signal processing letters (01.02.2015)“…In this letter, we propose a turbo compressed sensing algorithm with partial discrete Fourier transform (DFT) sensing matrices…”
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IDENT: Identifying Differential Equations with Numerical Time Evolution
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.04.2021Published in Journal of scientific computing (01.04.2021)“…Identifying unknown differential equations from a given set of discrete time dependent data is a challenging problem…”
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Control, Optimization, and Mathematical Modeling of Complex Systems
ISBN: 9783036576411, 303657641X, 9783036576404, 3036576401Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023“…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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Stable fully discrete finite element methods with BGN tangential motion for Willmore flow of planar curves
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.11.2025Published in Journal of scientific computing (01.11.2025)“…We propose and analyze stable finite element approximations for Willmore flow of planar curves…”
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Discrete-Time Partially Observable Stochastic Optimal Control Problems of McKean-Vlasov Type and Branching Particle System Approximations
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.07.2025Published in IEEE transactions on automatic control (01.07.2025)“…This article investigates a broad category of McKean-Vlasov type discrete-time partially observable stochastic optimal control problems…”
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10
Tensor Cross Interpolation for Global Discrete Optimization with Application to Bayesian Network Inference
ISSN: 0965-5425, 1555-6662Published: Moscow Pleiades Publishing 01.07.2025Published in Computational mathematics and mathematical physics (01.07.2025)“…Global discrete optimization is notoriously difficult due to the lack of gradient information and the curse of dimensionality, making exhaustive search infeasible…”
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11
Relaxation methods for mixed-integer optimal control of partial differential equations
ISSN: 0926-6003, 1573-2894Published: Boston Springer US 01.05.2013Published in Computational optimization and applications (01.05.2013)“…We consider integer-restricted optimal control of systems governed by abstract semilinear evolution equations…”
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A limited-memory BFGS-based differential evolution algorithm for optimal control of nonlinear systems with mixed control variables and probability constraints
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.06.2023Published in Numerical algorithms (01.06.2023)“…), which can be solved by using any gradient-based numerical computation method. Firstly, some binary functions are introduced for each value of the discrete-valued control variable (DCV…”
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13
Numerical algorithms for generating an almost even approximation of the Pareto front in nonlinear multi-objective optimization problems
ISSN: 1568-4946Published: Elsevier B.V 01.11.2024Published in Applied soft computing (01.11.2024)“… 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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A Fully Discrete Mixed Finite Element Method for the Stochastic Cahn–Hilliard Equation with Gradient-Type Multiplicative Noise
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.04.2020Published in Journal of scientific computing (01.04.2020)“…This paper develops and analyzes a fully discrete mixed finite element method for the stochastic Cahn…”
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15
High-Resolution Seismic Data Deconvolution by A0 Algorithm
ISSN: 2076-3263, 2076-3263Published: Basel MDPI AG 01.12.2018Published in Geosciences (Basel) (01.12.2018)“… The goal of sparse spike deconvolution is to recover an approximation of a given noisy measurement T = W ∗ r + W 0…”
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A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel
ISSN: 0008-0624, 1126-5434Published: Cham Springer International Publishing 01.03.2023Published in Calcolo (01.03.2023)“… Moreover, the algorithm uses a central difference approximation for the spatial derivatives…”
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A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
ISSN: 0029-599X, 0945-3245Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2019Published in Numerische Mathematik (01.12.2019)“… The numerical method proposed and studied here combines evolving finite elements, whose nodes determine the discrete surface like…”
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A viscoelastic Timoshenko Beam Model: Regularity and Numerical Approximation
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.05.2023Published in Journal of scientific computing (01.05.2023)“…We derive a fully-discrete finite element scheme to a fractional Timoshenko beam model, which characterizes the mechanical responses of viscoelastic beams, thick beams and beams subject to high…”
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Dynamically optimal models of atmospheric motion
ISSN: 1607-7946, 1023-5809, 1607-7946Published: Gottingen Copernicus GmbH 05.12.2024Published in Nonlinear processes in geophysics (05.12.2024)“…) of the evolution of the discrete system to the motion of the continuous atmosphere (a dynamically optimal algorithm…”
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ROBUST A PRIORI AND A POSTERIORI ERROR ANALYSIS FOR THE APPROXIMATION OF ALLEN—CAHN AND GINZBURG—LANDAU EQUATIONS PAST TOPOLOGICAL CHANGES
ISSN: 0036-1429, 1095-7170Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011Published in SIAM journal on numerical analysis (01.01.2011)“…A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models…”
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