Convergence analysis of spectral Galerkin methods for Volterra type integral equations
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Publication:357820
DOI10.1007/s10915-012-9577-8zbMath1273.65200OpenAlexW2151640244MaRDI QIDQ357820
Tao Tang, Xianjuan Li, Zi-Qing Xie
Publication date: 13 August 2013
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-012-9577-8
error analysisspectral Galerkin methodpseudo-spectral Galerkin methodspectral convergencesecond kind Volterra integral equations
Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Linear integral equations (45A05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Spectral methods for weakly singular Volterra integral equations with smooth solutions
- Spectral Methods
- Spectral Methods for Time-Dependent Problems
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Spectral Methods
- Jacobi interpolation approximations and their applications to singular differential equations
- Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations
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