Stability of implicit-explicit linear multistep methods for ordinary and delay differential equations
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Publication:1022529
DOI10.1007/s11464-009-0005-9zbMath1396.65114OpenAlexW2048226115MaRDI QIDQ1022529
Publication date: 22 June 2009
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-009-0005-9
Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
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Cites Work
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- P-stable and P[\(\alpha\),\(\beta\)-stable integration/interpolation methods in the solution of retarded differential-difference equations]
- On the stability of implicit-explicit linear multistep methods
- Modified implicit--explicit BDF methods for nonlinear parabolic equations
- Theory and applications of partial functional differential equations
- IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
- Stability of IMEX Runge-Kutta methods for delay differential equations
- IMEX Runge-Kutta schemes for reaction-diffusion equations
- Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations
- An iterated pseudospectral method for delay partial differential equations
- The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
- Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
- Special stability problems for functional differential equations
- Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
- Numerical Methods for Delay Differential Equations
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
