Numerical Stability
by M.N. Spijker
Publisher: Leiden University 1998
Number of pages: 71
Description:
Stability estimates and resolvent conditions in the numerical solution of initial value problems. Contents: Partial differential equations and numerical methods; Analysis; Linear algebra; The problem of stability in the numerical solution of differential equations; Stability estimates under resolvent conditions on the numerical solution operator B; Stability estimates under resolvent conditions on hA.
Download or read it online for free here:
Download link
(410KB, PDF)
Similar books

by Ian Craw - University of Aberdeen
The overall aim of the course is to present modern computer programming techniques in the context of mathematical computation and numerical analysis and to foster the independence needed to use these techniques as appropriate in subsequent work.
(12845 views)

by Todd Young, Martin J. Mohlenkamp - Ohio University
The goals of these notes are to introduce concepts of numerical methods and introduce Matlab in an Engineering framework. The notes were developed by the author in the process of teaching a course on applied numerical methods for Civil Engineering.
(5304 views)

by M. Holst, M. Licht - arXiv.org
We present a new technique to apply finite element methods to partial differential equations over curved domains. Bramble-Hilbert lemma is key in harnessing regularity in the physical problem to prove finite element convergence rates for the problem.
(3927 views)

by Jeffrey R. Chasnov - The Hong Kong University
This is primarily for non-mathematics majors and is required by several engineering departments. Contents: IEEE Arithmetic; Root Finding; Systems of equations; Least-squares approximation; Interpolation; Integration; Ordinary differential equations.
(6849 views)