Finite volume approximations and strict stability for hyperbolic problems

DOI10.1016/S0168-9274(01)00027-7zbMath0985.65103MaRDI QIDQ5944558

Martin Björck, Jan Nordström

Publication date: 10 October 2001

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityEuler equationdifference operatorsfinite volumehyperbolic first-order equation

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) Initial value problems for first-order hyperbolic systems (35L45)

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Uses Software

• EURANUS

Cites Work

• The engineering of multiblock/multigrid software for Navier--Stokes flows on structured meshes
• A stable and conservative interface treatment of arbitrary spatial accuracy
• Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
• Time-domain electromagnetic scattering simulations on multicomputers
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
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