The strong stability of differential-operator and operator- difference schemes

zbMath0976.65073MaRDI QIDQ5937512

A. A. Samarskij, Petr N. Vabishchevich, Piotr P. Matus

Publication date: 16 July 2001

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

zbMATH Keywords

error estimatesCauchy problemHilbert spacesparabolic equationevolution equationsstrong stabilitydifferential-operator equationoperator-difference equation

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) 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) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solutions to equations with linear operators (65J10) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Linear differential equations in abstract spaces (34G10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

Factorized schemes for first and second order evolution equations with fractional powers of operators ⋮ Stability of solutions of second-order differential-operator equations and of their difference approximations ⋮ Coefficient stability of the solution of a difference scheme approximating a mixed problem for a semilinear parabolic equation

This page was built for publication: The strong stability of differential-operator and operator- difference schemes