Error Analysis for Implicit Approximations to Solutions to Cauchy Problems

DOI10.1137/0733005zbMath0855.65102OpenAlexW1980939071MaRDI QIDQ4875491

Jim Rulla

Publication date: 11 February 1997

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0733005

zbMATH Keywords

heat equationerror estimatesCauchy problemHilbert spacemaximal monotone operatorStefan problemYoshida approximationimplicit schemesEuler's implicit method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Nonlinear differential equations in abstract spaces (34G20) 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) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to equations with nonlinear operators (65J15) Free boundary problems for PDEs (35R35)

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