Function-valued Padé-type approximant via the formal orthogonal polynomials and its applications in solving integral equations

DOI10.1016/J.CAM.2007.10.008zbMath1154.65096OpenAlexW2087170248MaRDI QIDQ950081

Chuanqing Gu, Jindong Shen

Publication date: 22 October 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.10.008

zbMATH Keywords

algorithmFredholm integral equationnumerical exampleseigenvaluesconvergence accelerationeigenfunctionsNeumann seriescharacteristic valuePadé approximantformal orthogonal polynomial

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Eigenvalue problems for integral equations (45C05)

Related Items (4)

Padé-type approximation method for two dimensional Fredholm integral equations of the second kind ⋮ Nonlinear functional equations satisfied by orthogonal polynomials ⋮ A triangle algorithm of Padé-type approximant for two-dimensional Fredholm integral equations of the second kind ⋮ Function-valued Padé-type approximant via E-algorithm and its applications in solving integral equations

Cites Work

• Solution of integral equations using function-valued Padé approximants. II
• Solution of integral equations using generalised inverse, function-valued Padé approximants. I
• Padé-type approximation and general orthogonal polynomials
• Orthogonal polynomials and determinant formulas of function-valued Padé-type approximation using for solution of integral equations
• FFT techniques in the numerical solution of convolution equations
• A family of Padé-type approximants for accelerating the convergence of sequences
• A review of Padé methods for the acceleration of convergence of a sequence of vectors
• Epsilon-algorithm and eta-algorithm of generalized inverse function-valued Padé approximants using for solution of integral equations
• Computational aspects of linear control
• Introduction to the improved functional epsilon algorithm
• Unnamed Item

This page was built for publication: Function-valued Padé-type approximant via the formal orthogonal polynomials and its applications in solving integral equations