The Fast Solution of Periodic Integral and Pseudodifferential Equations by Gmres
Abstract: In this paper we consider GMRES to solve finite-dimensional approxi- mations of a class of well-posed linear operator equations in Hilbert spaces. It is shown that the speed of convergence is superlinear. As a consequence we have that GMRES can be used as a fast solver of a fully discrete variant of the trigonometric Galerkin equations associated with periodic integral equations.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
The Fast Solution of Periodic Integral and Pseudodifferential Equations by Gmres ; volume:1 ; number:4 ; year:2001 ; pages:383-397
Computational methods in applied mathematics ; 1, Heft 4 (2001), 383-397
- Urheber
-
Plato, R.
Vainikko, Gennadi
- DOI
-
10.2478/cmam-2001-0025
- URN
-
urn:nbn:de:101:1-2410261601303.211198026204
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
15.08.2025, 07:26 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Plato, R.
- Vainikko, Gennadi
Ähnliche Objekte (12)
Periodic integral and pseudodifferential equations with numerical approximation
Pseudodifferential operators with completely periodic symbols
Euler solutions of pseudodifferential equations
ASYMPTOTICS OF PSEUDODIFFERENTIAL PARABOLIC EQUATIONS
Optimal numerical solution of multivariate integral equations
Methods of solution of singular integral equations
A series solution of fuzzy integral equations
Complexity of local solution of integral equations
Singular ordinary differential operators and pseudodifferential equations
Wavelet based fast solution of boundary integral equations
SOLUTION OF AN INFINITE SYSTEM OF INTEGRAL EQUATIONS
Complexity of local solution of multivariate integral equations
Periodic integral and pseudodifferential equations with numerical approximation
Pseudodifferential operators with completely periodic symbols
Euler solutions of pseudodifferential equations
ASYMPTOTICS OF PSEUDODIFFERENTIAL PARABOLIC EQUATIONS
Optimal numerical solution of multivariate integral equations
Methods of solution of singular integral equations
A series solution of fuzzy integral equations
Complexity of local solution of integral equations
Singular ordinary differential operators and pseudodifferential equations
Wavelet based fast solution of boundary integral equations
SOLUTION OF AN INFINITE SYSTEM OF INTEGRAL EQUATIONS
Complexity of local solution of multivariate integral equations
Periodic integral and pseudodifferential equations with numerical approximation
Pseudodifferential operators with completely periodic symbols
Euler solutions of pseudodifferential equations
ASYMPTOTICS OF PSEUDODIFFERENTIAL PARABOLIC EQUATIONS
Optimal numerical solution of multivariate integral equations
Methods of solution of singular integral equations
A series solution of fuzzy integral equations
Complexity of local solution of integral equations
Singular ordinary differential operators and pseudodifferential equations
Wavelet based fast solution of boundary integral equations
SOLUTION OF AN INFINITE SYSTEM OF INTEGRAL EQUATIONS