Integration processes of ordinary differential equations based on Laguerre-Radau interpolations
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Publication:5429495
DOI10.1090/S0025-5718-07-02035-2zbMath1127.65047OpenAlexW2026067503MaRDI QIDQ5429495
Hong-Jiong Tian, Ben-yu Guo, Zhong-qing Wang, Li-Lian Wang
Publication date: 30 November 2007
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-07-02035-2
Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)
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- Spectral method for differential equations of degenerate type on unbounded domains by using generalized Laguerre functions
- Some spectral approximations for differential equations in unbounded domains
- Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
- The h-p version of the finite element method for parabolic equations. Part I. The p-version in time
- Analysis of the Enright-Kamel Partitioning Method for Stiff Ordinary Differential Equations
- Nystroem interpolants based on zeros of Laguerre polynomials for some Weiner-Hopf equations
- Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip
- Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
- Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains
- Implicit Runge-Kutta Processes
- Integration Processes Based on Radau Quadrature Formulas
- A new generalized Laguerre spectral approximation and its applications
