Results 51 to 60 of about 1,147,753 (236)
A finite difference scheme for conservation laws driven by Levy noise [PDF]
, 2016 In this paper, we analyze a semi-discrete finite difference scheme for a conservation laws driven by a homogeneous multiplicative Levy noise. Thanks to BV estimates, we show a compact sequence of approximate solutions, generated by the finite difference ...
U. Koley, A. K. Majee, G. Vallet
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A parallel algorithm for solving one problem of nonlinear optics
Lietuvos Matematikos Rinkinys, 1998 This paper deals with a system of nonlinear differential equations, which describe the interaction of two focussed laser beams.The problem is approximated by a splitting finite difference scheme.
Raimondas Čiegis +2 more
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Some estimates for a special linear difference parabolic equation
Mathematical Modelling and Analysis, 1997 The finite‐difference scheme for a special linear parabolic equation is investigated. A priori estimates for such finite‐difference scheme are derived in the difference analogues of norm on Banach function spaces V2 and W 2 2,1. First Published Online:
Artūras Štikonas
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A low-numerical dissipation, patch-based adaptive-mesh-refinement method for large-eddy simulation of compressible flows [PDF]
, 2005 This paper describes a hybrid finite-difference method for the large-eddy simulation of compressible flows with low-numerical dissipation and structured adaptive mesh refinement (SAMR).
Deiterding, R. +3 more
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Conservative Linear Difference Scheme for Rosenau-KdV Equation
Advances in Mathematical Physics, 2013 A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well.
Jinsong Hu, Youcai Xu, Bing Hu
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A Predictor-Corrector Scheme for Conservation Equations with Discontinuous Coefficients
Journal of Mathematical and Fundamental Sciences, 2020 In this paper we propose an explicit predictor-corrector finite difference scheme to numerically solve one-dimensional conservation laws with discontinuous flux function appearing in various physical model problems, such as traffic flow and two-phase ...
Nasrin Okhovati, Mohammad Izadi
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Theoretical Optimization of Finite Difference Schemes
, 2006 The aim of this work is to develop general optimization methods for finite difference schemes used to approximate linear differential equations. The specific case of the transport equation is exposed. In particular, the minimization of the numerical error is taken into account.
David, Claire, Sagaut, Pierre
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Construction of invariant compact finite-difference schemes [PDF]
Physical Review E, 2020 In this paper we propose a method, which is based on equivariant moving frames, for development of high-order accurate invariant compact finite-difference schemes that preserve Lie symmetries of underlying partial differential equations. In this method, variable transformations that are obtained from the extended symmetry groups of partial differential
E. Ozbenli, P. Vedula
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Fractional centered difference scheme for high-dimensional integral fractional Laplacian
Journal of Computational Physics, 2021 In this work we study the finite difference method for the fractional diffusion equation with high-dimensional hyper-singular integral fractional Laplacian. We first propose a simple and easy-to-implement discrete approximation, i.e., fractional centered
Zhaopeng Hao, Zhongqiang Zhang, R. Du
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, 2014 In this paper, we propose the parametrized maximum principle preserving (MPP) flux limiter, originally developed in [Z. Xu, Math. Comp., (2013), in press], to the semi- Lagrangian finite difference weighted essentially non-oscillatory scheme for solving ...
Christlieb, Andrew +3 more
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