Orthogonal Jacobi rational functions and spectral methods on the half line
DOI10.1007/s10915-021-01535-7zbMath1477.65255OpenAlexW3166316260MaRDI QIDQ2037338
Publication date: 30 June 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01535-7
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Approximation by rational functions (41A20) Second-order elliptic equations (35J15) Other special orthogonal polynomials and functions (33C47)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
- Generalized Jacobi rational spectral method on the half line
- Laguerre spectral approximation of elliptic problems in exterior domains
- Spectral method for differential equations of degenerate type on unbounded domains by using generalized Laguerre functions
- Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains
- Infinite-dimensional dynamical systems in mechanics and physics
- Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
- A fully diagonalized spectral method using generalized Laguerre functions on the half line
- Orthogonal rational functions on a semi-infinite interval
- Spectral methods using rational basis functions on an infinite interval
- A rational approximation and its applications to nonlinear partial differential equations on the whole line.
- Error analysis of the Strang time-splitting Laguerre-Hermite/Hermite collocation methods for the Gross-Pitaevskii equation
- Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations
- On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line
- Generalized Laguerre approximations and spectral method for the Camassa–Holm equation
- Interpolation inequalities with weights
- Chebyshev rational spectral and pseudospectral methods on a semi‐infinite interval
- Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
- A Complete Orthonormal System of Functions in $L^2 ( - \infty ,\infty )$ Space
- Jacobi rational approximation and spectral method for differential equations of degenerate type
- Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains
- A rational approximation and its applications to differential equations on the half line
This page was built for publication: Orthogonal Jacobi rational functions and spectral methods on the half line