Optimal accuracy of unconditionally stable explicit numerical methods for nonlinear evolution PDE's

DOI10.1016/0893-9659(94)90082-5zbMath0811.65066OpenAlexW2081309683MaRDI QIDQ1343538

Elemer E. Rosinger

Publication date: 2 May 1995

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

Full work available at URL: https://doi.org/10.1016/0893-9659(94)90082-5

zbMATH Keywords

unconditional stabilityfilteringnonlinear evolution equationsnonlinear smoothingdefilteringexplicit, one step, Euler type finite difference schemes

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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 linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (4)

How to solve smooth nonlinear pdes in algebras of generalized functionswith dense singularities ⋮ Propagation of round-off errors and the role of stability in numerical methods for linear and nonlinear PDEs ⋮ Extension of an explicit finite volume method to large time steps (CFL>1): application to shallow water flows ⋮ The time-line interpolation method for large-time-step Godunov-type schemes

Cites Work

• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
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