The Number of Boundary Conditions for Initial Boundary Value Problems
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Publication:4970518
DOI10.1137/20M1322571zbMath1450.35126MaRDI QIDQ4970518
Jan Nordström, Thomas M. Hagstrom
Publication date: 14 October 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
initial boundary value problemsnormal mode analysisLaplace transform methodsummation-by-partscontinuous energy methodincompletely parabolic
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)
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Spectral properties of the incompressible Navier-Stokes equations ⋮ Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? ⋮ A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions ⋮ A Method-of-Lines Framework for Energy Stable Arbitrary Lagrangian–Eulerian Methods ⋮ A provably stable and high-order accurate finite difference approximation for the incompressible boundary layer equations ⋮ Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics ⋮ Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations ⋮ A skew-symmetric energy and entropy stable formulation of the compressible Euler equations
Uses Software
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