Results 21 to 30 of about 3,141,457 (252)
Numerical Solution of Parabolic Equations by the Box Scheme [PDF]
, 1973 The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
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, 2021 The full detailed derivation of the numerical scheme used for simulating the numerical results. (PDF)
J. E. F. Green (3189057) +4 more
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Symmetry-Preserving Numerical Schemes [PDF]
, 2017 In these lectures we review two procedures for constructing finite difference numerical schemes that preserve symmetries of differential equations. The first approach is based on Lie's infinitesimal symmetry generators, while the second method uses the novel theory of equivariant moving frames.
Bihlo, Alexander, Valiquette, Francis
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Explicit Solution of the Time Domain Volume Integral Equation Using a Stable Predictor-Corrector Scheme [PDF]
, 2012 An explicit marching-on-in-time (MOT) scheme for solving the time domain volume integral equation is presented. The proposed method achieves its stability by employing, at each time step, a corrector scheme, which updates/corrects fields computed by the ...
Bağcı, H +11 more
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Numerical schemes for nonlinear predictor feedback [PDF]
Mathematics of Control, Signals, and Systems, 2014 Implementation is a common problem with feedback laws with distributed delays. This paper focuses on a specific aspect of the implementation problem for predictor-based feedback laws: the problem of the approximation of the predictor mapping. It is shown that the numerical approximation of the predictor mapping by means of a numerical scheme in ...
Iasson Karafyllis, Miroslav Krstic
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Frontiers in Public Health, 2023 In this study, a mathematical model for studying the dynamics of monkeypox virus transmission with non-pharmaceutical intervention is created, examined, and simulated using real-time data.
Mercy Ngungu +5 more
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An Energy Conserving Numerical Scheme for the Klein–Gordon Equation with Cubic Nonlinearity
, 2022 In this paper, we develop a numerical scheme that conserves the discrete energy for solving the Klein-Gordon equation with cubic nonlinearity. We prove theoretically that our scheme conserves not just discrete energy, but also other energy-like discrete ...
Valipuram Manoranjan, Lewa’ Alzaleq
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Известия высших учебных заведений: Нефть и газ, 2018 The article presents the mathematical modeling of heated gas dissociation process into the reservoir saturated with methane and its hydrate. We studied how different factors has affected the dissociation process.
N. G. Musakaev +2 more
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Numerical stabilization of the Stokes problem in vorticity–velocity–pressure formulation [PDF]
, 2006 We work on a vorticity, velocity and pressure formulation of the bidimensional Stokes problem for incompressible fluids. In previous papers, the authors have developed a natural implementation of this scheme.
Salaün, Michel, Salmon, Stéphanie
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On the accuracy of invariant numerical schemes
Communications on Pure and Applied Analysis, 2011 In this paper we present a method of construction of invariant numerical schemes for partial differential equations. The resulting schemes preserve the Lie-symmetry group of the continuous equation and they are at least as accurate as the original scheme.
Chhay, Marx, Hamdouni, Aziz
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