The Concept of Stability in Numerical Mathematics

DOI10.1007/978-3-642-39386-0zbMath1321.65139OpenAlexW609720279MaRDI QIDQ5326815

Wolfgang Hackbusch

Publication date: 6 August 2013

Published in: Springer Series in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-39386-0

zbMATH Keywords

monographinterpolationfinite element methodsdifference methodone-step methodquadraturemultistep methodNyström's methodconvergence of numerical algorithmsstability of numerical algorithms

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical interpolation (65D05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical quadrature and cubature formulas (65D32) Fredholm integral equations (45B05)

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