The Galerkin Method for the Numerical Solution of Fredholm Integral Equations of the Second Kind
SIAM ReviewPublished 1 July 1972
Yasuhiko Ikebe
Citations85
SJR quartileQ1
SJR score3.02
SNIP5.22
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
A unified discussion of the Galerkin method is given for the approximate solution of Fredholm integral equations of the second kind and of similar linear operator equations. The numerical stability of the approximate solutions is also discussed. As an application of the Galerkin method, the classical Fredholm–Nyström method is reviewed.
Keywords
Computer ScienceMathematicsPhysics and Astronomy
Mathematics of ComputationIntroduction to Approximation Theory
2,083 Citations1969T. J. Rivlin, E. W. Cheney
Journal of the London Mathematical SocietyTOPOLOGICAL METHODS IN THE THEORY OF NON-LINEAR INTEGRAL EQUATIONS
589 Citations1966Frank Smithies
Real and Complex Analysis
365 Citations2009Christopher Apelian, Steve Surace
Acta MathematicaÜber Die Praktische Auflösung von Integralgleichungen mit Anwendungen auf Randwertaufgaben
266 Citations1930Elisabet Nyström
SIAM Journal on Numerical AnalysisThe Use of Multiple Deflations in the Numerical Solution of Singular Systems of Equations, with Applications to Potential Theory
112 Citations1968M. Stuart Lynn, William P. Timlake
SIAM Journal on Numerical AnalysisThe Numerical Solution of the Integral Equation Formulation of the Single Interface Neumann Problem
5 Citations1969Yasuhiko Ikebe, M. Stuart Lynn +1 more
