On the existence and uniqueness of a solution and on the convergence rate of the Bubnov-Galerkin method for a quasilinear evolution problem in Hilbert space

zbMath0963.65059MaRDI QIDQ1589407

S. E. Zhelezovskii

Publication date: 5 March 2001

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceCauchy problemHilbert spaceerror boundBubnov-Galerkin methodquasilinear evolutionary equation

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with nonlinear operators (65J15) Error bounds for numerical methods for ordinary differential equations (65L70)

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