Fast algorithms for spectral collocation with non-periodic boundary conditions
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Publication:556330
DOI10.1016/j.jcp.2005.01.007zbMath1070.65104OpenAlexW2143887714MaRDI QIDQ556330
Publication date: 13 June 2005
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2005.01.007
numerical examplesdiffusion equationpseudospectral methodsChebyshev collocationAllen-Cahn equationFast algorithmsFast direct solvernon-periodic boundary conditions
Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (2)
Some new computational methods for the Allen‐Cahn equation with non‐periodic boundary conditions arising in computational fluid dynamics ⋮ A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions
Uses Software
Cites Work
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- Wave propagation using bases for bandlimited functions
- Rapid solution of integral equations of classical potential theory
- Une méthode multipas implicite-explicite pour l'approximation des équations d'évolution paraboliques
- A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
- Rapid solution of integral equations of scattering theory in two dimensions
- LU factorization of non-standard forms and direct multiresolution solvers
- A new class of time discretization schemes for the solution of nonlinear PDEs
- A generalized one-dimensional fast multipole method with application to filtering of spherical harmonics
- Fast spectral projection algorithms for density-matrix computations
- A fast direct algorithm for the solution of the Laplace equation on regions with fractal boundaries
- Roundoff error in computing derivatives using the Chebyshev differentiation matrix
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- A Fast Algorithm for the Numerical Evaluation of Conformal Mappings
- Improved Condition Number for Spectral Methods
- Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
- Nineteen Dubious Ways to Compute the Exponential of a Matrix
- On the numerical solution of two‐point boundary value problems II
- Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- A Practical Guide to Pseudospectral Methods
- Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems
- A Fast $ULV$ Decomposition Solver for Hierarchically Semiseparable Representations
- Fourth-Order Time-Stepping for Stiff PDEs
- A fast algorithm for particle simulations
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