A note on semidiscretization methods

DOI10.1016/0378-4754(78)90071-XzbMath0421.65037OpenAlexW1986817177MaRDI QIDQ1133293

Olavi Nevanlinna

Publication date: 1978

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(78)90071-x

zbMATH Keywords

surveyHilbert spaceA-stable linear multistep methodsnonlinear abstract evolution equations

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• High-order methods for parabolic problems
• Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
• Numerical solution of parabolic problems by the generalized Crank- Nicolson scheme
• Approximation de certaines équations paraboliques non linéaires
• Semigroups on nonlinear contractions on convex sets
• Connections between accuracy and stability properties of linear multistep formulas
• A Crank–Nicolson–$H^{ - 1} $–Galerkin Procedure for Parabolic Problems in a Single-Space Variable
• On the numerical integration of nonlinear initial value problems by linear multistep methods
• On the Convergence of Difference Approximations to Nonlinear Contraction Semigroups in Hilbert Spaces
• A special stability problem for linear multistep methods

This page was built for publication: A note on semidiscretization methods