Time-stepping algorithms for semidiscretized linear parabolic PDEs based on rational approximants with distinct real poles
From MaRDI portal
Publication:675718
DOI10.1007/BF02127713zbMath0872.65091MaRDI QIDQ675718
Abdul Q. M. Khaliq, David A. Voss
Publication date: 11 March 1997
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
algorithmnumerical resultsheat equationparallel computationmethod of linesrational approximationadvection-diffusion equationmatrix exponential
Parallel numerical computation (65Y05) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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Cites Work
- Unnamed Item
- A parallel block cyclic reduction algorithm for the fast solution of elliptic equations
- Real pole approximations to the exponential function
- Parallel LOD methods for second order time dependent PDEs
- A fourth order difference method for the one-dimensional general quasilinear parabolic partial differential equation
- Time-Dependent Boundary and Interior Forcing in Locally One-Dimensional Schemes
- Diagonal Padé Approximations for Initial Value Problems
- A Scheme for Parallelizing Certain Algorithms for the Linear Inhomogeneous Heat Equation
- On parallel algorithms for semidiscretized parabolic partial differential equations based on subdiagonal Padé approximations
- Attainable order of rational approximations to the exponential function with only real poles
- A note on the efficient implementation of certain Padé Methods for linear parabolic problems
- The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I
- ODE solvers and the method of lines
