Jacobi Approximations in Certain Hilbert Spaces and Their Applications to Singular Differential Equations
Author:
- Ben-Yu GuoBGBen-Yu Guo
- 1 March 2000
- journal article
- Published by Elsevier in Journal of Mathematical Analysis and Applications
- Vol. 243 (2) , 373-408
Abstract
No abstract availableKeywords
This publication has 12 references indexed in Scilit:
- Gegenbauer Approximation and Its Applications to Differential Equations on the Whole LineJournal of Mathematical Analysis and Applications, 1998
- On the Gibbs Phenomenon III: Recovering Exponential Accuracy in a Sub-Interval From a Spectral Partial Sum of a Pecewise Analytic FunctionSIAM Journal on Numerical Analysis, 1996
- On the Gibbs phenomenon V: recovering exponential accuracy from collocation point values of a piecewise analytic functionNumerische Mathematik, 1995
- Resolution properties of the Fourier method for discontinuous wavesComputer Methods in Applied Mechanics and Engineering, 1994
- On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic functionJournal of Computational and Applied Mathematics, 1992
- On One-Sided Filters for Spectral Fourier Approximations of Discontinuous FunctionsSIAM Journal on Numerical Analysis, 1992
- Family of spectral filters for discontinuous problemsJournal of Scientific Computing, 1991
- Shock capturing by the spectral viscosity methodComputer Methods in Applied Mechanics and Engineering, 1990
- On Time Discretizations for Spectral MethodsStudies in Applied Mathematics, 1980
- Stability of the Fourier MethodSIAM Journal on Numerical Analysis, 1979