Derivation of boundary conditions for the artificial boundaries associated with the solution of certain time dependent problems by Lax–Wendroff type difference schemes
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Publication:3920582
DOI10.1017/S0013091500004053zbMath0467.65053MaRDI QIDQ3920582
Publication date: 1982
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Lax-Wendroff type schemesconditions local and non local in timestable boundary approximationsStrang schemesconditions local and nonlocal in space
First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items (4)
On boundary conditions for the numerical simulation of wave propagation ⋮ Characteristic boundary conditions in the lattice Boltzmann method for fluid and gas dynamics ⋮ Approximation of pseudodifferential operators in absorbing boundary conditions for hyperbolic equations ⋮ Non-reflecting boundary conditions
Cites Work
- Boundary conditions for time dependent problems with an artificial boundary
- Boundary conditions for multistep finite-difference methods for time- dependent equations
- On the comparison of multistep formulations of the optimized Lax-Wendroff method for nonlinear hyperbolic systems in two space variables
- Accurate partial difference methods. I: Linear Cauchy problems
- Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- Radiation boundary conditions for acoustic and elastic wave calculations
- A Necessary Condition for the Stability of a Difference Approximation to a Hyperbolic System of Partial Differential Equations
- Finite-Difference Methods for Nonlinear Hyperbolic Systems. II
- A Multistep Formulation of the Optimized Lax-Wendroff Method for Nonlinear Hyperbolic Systems in Two Space Variables
- Systems of Difference Equations with General Homogeneous Boundary Conditions
- Stability of Difference Approximations of Dissipative Type for Mixed Initial-Boundary Value Problems.
- On the Construction and Comparison of Difference Schemes
- Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I
- Boundary Techniques for the Multistep Formulation of the Optimized Lax-Wendroff Method for Non-linear Hyperbolic Systems in Two Space Dimensions
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