Inverse Lax-Wendroff Boundary Treatment: a Survey

DOI10.4208/cmr.2022-0015zbMath1524.65395OpenAlexW4293769185MaRDI QIDQ6097571

Chi-Wang Shu

Publication date: 6 June 2023

Published in: Communications in Mathematical Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cmr.2022-0015

zbMATH Keywords

stabilitycomplex geometryhigh order accuracyinverse Lax-Wendroff procedureboundary treatment

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Boundary value problems for nonlinear first-order PDEs (35F30)

Cites Work

• Unnamed Item
• Unnamed Item
• High order boundary extrapolation technique for finite difference methods on complex domains with Cartesian meshes
• High order weighted extrapolation for boundary conditions for finite difference methods on complex domains with Cartesian meshes
• An inverse Lax-Wendroff method for boundary conditions applied to Boltzmann type models
• A new class of central compact schemes with spectral-like resolution. I: Linear schemes
• Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws
• Stability analysis of the inverse Lax-Wendroff boundary treatment for high order central difference schemes for diffusion equations
• A high order moving boundary treatment for compressible inviscid flows
• Fast sweeping fifth order WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment
• A high order boundary scheme to simulate complex moving rigid body under impingement of shock wave
• High order fast sweeping methods for static Hamilton-Jacobi equations
• Composite overlapping meshes for the solution of partial differential equations
• A second order discontinuous Galerkin fast sweeping method for eikonal equations
• A composite grid solver for conjugate heat transfer in fluid-structure systems
• A fourth-order-accurate difference approximation for the incompressible Navier-Stokes equations
• Multidomain WENO finite difference method with interpolation at subdomain interfaces
• Efficient implementation of weighted ENO schemes
• Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
• Free-stream preserving finite difference schemes on curvilinear meshes
• Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms
• An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary
• 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
• Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations
• Flow patterns around heart valves: A numerical method
• One- and multi-dimensional CWENOZ reconstructions for implementing boundary conditions without ghost cells
• Inverse Lax–Wendroff Procedure for Numerical Boundary Treatment of Hyperbolic Equations
• Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations
• Stable Difference Approximations for the Elastic Wave Equation in Second Order Formulation
• Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. II
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. I
• Markov Chain Approximations for Deterministic Control Problems with Affine Dynamics and Quadratic Cost in the Control
• H-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• A High-Resolution Rotated Grid Method for Conservation Laws with Embedded Geometries
• Difference Approximations of the Neumann Problem for the Second Order Wave Equation
• A fast sweeping method for Eikonal equations
• Difference Approximations for the Second Order Wave Equation
• A Fourth-Order Accurate Embedded Boundary Method for the Wave Equation
• Development and stability analysis of the inverse Lax−Wendroff boundary treatment for central compact schemes
• Extremely high-order convergence in simulations of relativistic stars
• A Second Order Accurate Embedded Boundary Method for the Wave Equation with Dirichlet Data
• Systems of conservation laws
• Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes

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