A universal Birkhoff pseudospectral method for solving boundary value problems
DOI10.1016/j.amc.2023.128101MaRDI QIDQ6107980
R. J. Proulx, Carlos F. Borges, Isaac Michael Ross
Publication date: 29 June 2023
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
condition numberJacobi polynomialsspectral collocationarbitrary gridBirkhoff interpolantsmixed/Robin boundary conditions
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A collocation method with exact imposition of mixed boundary conditions
- Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator
- Fast construction of the Fejér and Clenshaw-Curtis quadrature rules
- Rectangular spectral collocation
- On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation
- A Fast and Well-Conditioned Spectral Method
- A Well-Conditioned Collocation Method Using a Pseudospectral Integration Matrix
- Iteration-Free Computation of Gauss--Legendre Quadrature Nodes and Weights
- Spectral Methods
- On the Numerical Solution of Fourth-Order Linear Two-Point Boundary Value Problems
- Spectral Differencing with a Twist
- Spectral Methods in MATLAB
- A Practical Guide to Pseudospectral Methods
- Accuracy and Speed in Computing the Chebyshev Collocation Derivative
- Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights
- Birkhoff Interpolation
- On Hermite-Birkhoff interpolation
This page was built for publication: A universal Birkhoff pseudospectral method for solving boundary value problems
