Solution of integral equations using Padé type approximants

DOI10.1216/jiea/996986966zbMath0992.65149OpenAlexW2032407141MaRDI QIDQ5955631

Rajinder Thukral

Publication date: 14 February 2002

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL13-2/CONT13-2/CONT13-2.html

zbMATH Keywords

numerical examplesconvergence accelerationcharacteristic functionNeumann seriescharacteristic valueclassical Padé approximantimproved Padé approximantimproved squared Padé approximantintegral Padé approximantlinear integral equationsmodified Padé approximant

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Padé approximation (41A21) Fredholm integral equations (45B05)

Related Items (4)

Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations ⋮ Similarities of the integral Padé approximants. II ⋮ A family of the functional epsilon algorithms for accelerating convergence ⋮ Similarities of the integral Padé approximants

Cites Work

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• Problems and progress in vector Padé approximation
• Solution of integral equations using function-valued Padé approximants. II
• Solution of integral equations using generalised inverse, function-valued Padé approximants. I
• Row convergence theorems for generalised inverse vector-valued Padé approximants
• Degeneracies of generalized inverse, vector-valued Padé approximants
• Extrapolation methods for vector sequences
• A family of Padé-type approximants for accelerating the convergence of sequences
• The rise and fall of the vector epsilon algorithm
• A review of Padé methods for the acceleration of convergence of a sequence of vectors
• Row convergence theorems for vector-valued Padé approximants
• A new approach to acceleration of convergence of a sequence of vectors
• An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions
• Stability Regions in the Numerical Treatment of Volterra Integral Equations

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