Ein Zwei-Schritt-Differenzenverfahren zur Berechnung strömungsabhängiger Ausbreitungsvorgänge

DOI10.1007/BF01797300zbMath0395.65030MaRDI QIDQ1253089

Horst Kreth

Publication date: 1978

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

StabilityDifference MethodsDiffusion Phenomena in Tidal StreamsImplicit Two-Step MethodMonotone Operator in Hilbert SpaceNonautonomous Initial Value ProblemNonlinear Differential Equation in Hilbert Space

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) 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 solutions to equations with nonlinear operators (65J15) Diffusion and convection (76R99)

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Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator ⋮ A-priori error estimates of Galerkin backward differentiation methods in time-inhomogeneous parabolic problems ⋮ Variable time-step \(\vartheta\)-scheme for nonlinear evolution equations governed by a monotone operator

Cites Work

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• Monotone (nonlinear) operators in Hilbert space
• High-order methods for parabolic problems
• Finite Element Multistep Discretizations of Parabolic Boundary Value Problems
• A special stability problem for linear multistep methods