Convergence of difference approximation of nonlinear evolution equations

zbMATH Open0658.65080MaRDI QIDQ1111343

Shinnosuke Oharu

Publication date: 1987

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

zbMATH Keywords

convergenceBanach spacesmild solutionssurvey articledifference approximationsnonlinear time-dependent evolution equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with nonlinear operators (65J15) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (8)

On convergence and stability of difference schemes for derivative nonlinear evolution equations ⋮ Title not available (Why is that?) ⋮ Convergence of difference approximations of quasilinear evolution equations ⋮ Stability and convergence of difference scheme for nonlinear evolutionary type equations ⋮ Title not available (Why is that?) ⋮ Title not available (Why is that?) ⋮ Nonlinear and quasilinear evolution equations: Existence, uniqueness, and comparison of solutions; the rate of convergence of the difference method ⋮ Nonlinear evolution operators in Banach spaces

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