Backward Euler discretization of fully nonlinear parabolic problems

DOI10.1090/S0025-5718-01-01330-8zbMath0991.65087MaRDI QIDQ2759088

Mechthild Thalhammer, Alexander Ostermann, Cesáreo González, César Palencia

Publication date: 10 December 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

convergenceBanach spacebackward Euler methodtime discretizationstability boundsnonlinear parabolic problemshyperbolic equilibriumabstract nonlinear evolution equationvariable step stepsize

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Abstract parabolic equations (35K90) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Cites Work

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