Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations

DOI10.1016/j.cam.2021.113711zbMath1481.65145OpenAlexW3188530295MaRDI QIDQ2229919

Chi-Wang Shu, Jianfang Lu, Ting-Ting Li

Publication date: 17 September 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113711

zbMATH Keywords

parabolic equationeigenvalue analysissimplified inverse Lax-Wendroff procedurehigh order compact difference schemesGodunov-Ryabenkii theory

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Second-order parabolic equations (35K10)

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SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary, Boundary treatment of linear multistep methods for hyperbolic conservation laws, An immersed interface method for the 2D vorticity-velocity Navier-Stokes equations with multiple bodies, Inverse Lax-Wendroff Boundary Treatment: a Survey, Approximation of the derivatives beyond Taylor expansion, A high order moving boundary treatment for convection-diffusion equations

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