Stability analysis of the inverse Lax-Wendroff boundary treatment for high order central difference schemes for diffusion equations

DOI10.1007/s10915-016-0258-xzbMath1361.65062OpenAlexW2492658715MaRDI QIDQ520194

Mengping Zhang, Chi-Wang Shu, Ting-Ting Li

Publication date: 3 April 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0258-x

zbMATH Keywords

stabilitydiffusion equationeigenvalue analysisRunge-Kutta methodinitial boundary value problemGKS theorynumerical testfully discretehigh-order central difference schemessemi-discretesimplified inverse Lax-Wendroff procedure

Mathematics Subject Classification ID

Heat equation (35K05) 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)

Related Items (12)

A high order boundary scheme to simulate complex moving rigid body under impingement of shock wave ⋮ Essentially non-oscillatory and weighted essentially non-oscillatory schemes ⋮ 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 ⋮ Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs ⋮ An immersed interface method for the 2D vorticity-velocity Navier-Stokes equations with multiple bodies ⋮ Inverse Lax-Wendroff Boundary Treatment: a Survey ⋮ A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids ⋮ On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments ⋮ Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations ⋮ FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions ⋮ A high order moving boundary treatment for convection-diffusion equations

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