Legendre spectral collocation in space and time for PDEs
DOI10.1007/s00211-016-0834-xzbMath1365.65228OpenAlexW2522963784MaRDI QIDQ527815
Publication date: 12 May 2017
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-016-0834-x
Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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- A Legendre spectral method in time for first-order hyperbolic equations
- Fourierization of the Legendre-Galerkin method and a new space-time spectral method
- Legendre-Gauss collocation methods for ordinary differential equations
- Spectral elements for transport-dominated equations
- Convergence of spectral method in time for Burgers' equation
- Spectral deferred correction methods for ordinary differential equations
- Single and multi-interval Legendre \(\tau\)-methods in time for parabolic equations
- Legendre spectral collocation method for second-order nonlinear ordinary/partial differential equations
- Analysis of Hamiltonian boundary value methods (HBVMs): A class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems
- Spectral methods on arbitrary grids
- A Well-Conditioned Collocation Method Using a Pseudospectral Integration Matrix
- Legendre–Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations
- Spectral Methods
- A Simple Proposal for Parallel Computation Over Time of an Evolutionary Process with Implicit Time Stepping
- Spectral Methods for Time-Dependent Problems
- Spectral Methods in Time for Parabolic Problems
- A Hessenberg-Schur method for the problem AX + XB= C
- Spectral Methods and Their Applications
- Spectral Methods in MATLAB
- Spectral Methods in Time for Hyperbolic Equations
- A Space-Time Multigrid Method for Parabolic Partial Differential Equations
- A Practical Guide to Pseudospectral Methods
- A Parallel Space-Time Algorithm
- On exponential convergence of Gegenbauer interpolation and spectral differentiation
- Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems
- Parallel Time Integration with Multigrid
- Space‐time spectral collocation method for the one‐dimensional sine‐<scp>G</scp>ordon equation
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Numerical Analysis of Partial Differential Equations
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Spectral Methods
- Galerkin-Chebyshev spectral method and block boundary value methods for two-dimensional semilinear parabolic equations
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