Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations
From MaRDI portal
Publication:995222
DOI10.1016/j.jcp.2010.04.029zbMath1195.65225OpenAlexW2134526557MaRDI QIDQ995222
Publication date: 13 September 2010
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2010.04.029
Related Items
High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation ⋮ Well-conditioned ultraspherical and spectral integration methods for resolvent analysis of channel flows of Newtonian and viscoelastic fluids ⋮ Least-Squares Spectral Methods for ODE Eigenvalue Problems ⋮ Comparative performance of time spectral methods for solving hyperchaotic finance and cryptocurrency systems ⋮ Extension of Chebfun to Periodic Functions ⋮ IDSOLVER: a general purpose solver for \(n\)th-order integro-differential equations ⋮ Computation of frequency responses for linear time-invariant PDEs on a compact interval ⋮ Comparative assessment of nonlocal continuum solvent models exhibiting overscreening ⋮ Anderson acceleration based on the \(\mathcal{H}^{- s}\) Sobolev norm for contractive and noncontractive fixed-point operators ⋮ A pseudospectral scheme and its convergence analysis for high-order integro-differential equations ⋮ Theoretical analysis of a sinc-Nyström method for Volterra integro-differential equations and its improvement ⋮ Unnamed Item ⋮ Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method ⋮ On the Numerical Solution of Fourth-Order Linear Two-Point Boundary Value Problems ⋮ Spectral integration of linear boundary value problems ⋮ A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle ⋮ Block Operators and Spectral Discretizations ⋮ High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures ⋮ A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels ⋮ Convergence analysis of a highly accurate Nyström scheme for Fredholm integral equations ⋮ On the numerical solution of integral equations of the second kind over infinite intervals ⋮ On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation ⋮ A high-order embedded domain method combining a predictor-corrector-Fourier-continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains ⋮ On symmetrizing the ultraspherical spectral method for self-adjoint problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems
- The chebop system for automatic solution of differential equations
- High-order methods for the numerical solution of Volterra integro- differential equations
- A Legendre-pseudospectral method for computing travelling waves with corners (slope discontinuities) in one space dimension with application to Whitham's equation family
- A note on the numerical solution of high-order differential equations
- Numerical solution of a Fredholm integro-differential equation modelling \(\dot \theta\)-neural networks
- Automatic Fréchet Differentiation for the Numerical Solution of Boundary-Value Problems
- GMRES for the Differentiation Operator
- Piecewise-smooth chebfuns
- Spectral Integration and Two-Point Boundary Value Problems
- An effective spectral collocation method for the direct solution of high-order ODEs
- Improved Condition Number for Spectral Methods
- The Numerical Solution of Integral Equations of the Second Kind
- ARPACK Users' Guide
- Spectral Methods in MATLAB
- Vibrations of non-uniform rings studied by means of the differential quadrature method
- An Extension of MATLAB to Continuous Functions and Operators
- Terminal Damping of a Solitary Wave Due to Radiation in Rotational Systems
- Quasiperiodic Solutions in Weakly Nonlinear Gas Dynamics. Part I. Numerical Results in the Inviscid Case
- A Practical Guide to Pseudospectral Methods
- GMRES and Integral Operators
- An efficient spectral method for ordinary differential equations with rational function coefficients
- Instability of Poiseuille flow in a fluid overlying a porous layer
- Inexact Inverse Iteration with Variable Shift for Nonsymmetric Generalized Eigenvalue Problems
- Accurate solution of the Orr–Sommerfeld stability equation
