On a Fourth Order Accurate Implicit Finite Difference Scheme for Hyperbolic Conservation Laws: I. Nonstiff Strongly Dynamic Problems
From MaRDI portal
Publication:3922110
DOI10.2307/2007647zbMath0468.65051OpenAlexW4233561150MaRDI QIDQ3922110
Hillel Tal-Ezer, Amiram Harten
Publication date: 1981
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2007647
numerical resultsimplicit finite difference schemeCourant-Friedrichs-Lewy conditionCrank-Nicholson schemefourth order accuracy
Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) 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)
Related Items
Time-stepping Padé--Petrov--Galerkin models for hydraulic jump simulation, Modified equation techniques for reactive-diffusive systems. I: Explicit, implicit and quasilinear methods, An analysis of time discretization in the finite element solution of hyperbolic problems, Compact schemes in time with applications to partial differential equations, On a fourth order accurate implicit finite difference scheme for hyperbolic conservation laws. II: Five-point schemes, An introduction to finite element methods for transient advection problems, High-order accurate time-stepping schemes for convection-diffusion problems, Progress in computational physics, Finite element methods for nonlinear advection, Time-accurate solution of stabilized convection-diffusion-reaction equations: I-time and space discretization
