Efficient and accurate computation for the $$\varphi$$-functions arising from exponential integrators-Reference-Cited by-同舟云学术

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Efficient and accurate computation for the $$\varphi$$-functions arising from exponential integrators

Published:2022-01-21 Issue:1 Volume:59 Page:
ISSN:0008-0624
Container-title:Calcolo
language:en
Short-container-title:Calcolo

Author:

Li Dongping^ORCID,Yang Siyu,Lan Jiamei

Funder

Jilin Scientific and Technological Development Program

Natural Science Foundation of Jilin Province

Scientific Startup Foundation for Doctors of Changchun Normal University

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s10092-021-00453-2.pdf

Reference33 articles.

1. Al-Mohy, A.H., Higham, N.J.: A new scaling and squaring algorithm for the matrix exponential. SIAM J. Matrix Anal. Appl. 31(3), 970–989 (2009)

2. Al-Mohy, A.H., Higham, N.J.: Computing the action of the matrix exponential, with an application to exponential integrators. SIAM J. Sci. Comput. 33, 488–511 (2011)

3. Berland, H., Skaflestad, B., Wright, W.M.: EXPINT—a MATLAB Package for Exponential Integrators. ACM Trans. Math. Software, 33(1), Article 4, (2007)

4. Cong, Y.H., Li, D.P.: Block Krylov subspace methods for approximating the linear combination of phi-functions. Comput. Math. Appli. 72, 846–855 (2016)

5. Caliari, M., Vianello, M., Bergamaschi, L.: Interpolating discrete advection-diffusion propagators at Leja sequences. J. Comput. Appl. Math. 172(1), 79–99 (2004)

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1. A second order directional split exponential integrator for systems of advection–diffusion–reaction equations;Journal of Computational Physics;2024-02

2. Computing the Lyapunov operator φ-functions, with an application to matrix-valued exponential integrators;Applied Numerical Mathematics;2022-12

3. Exponential Multistep Methods for Stiff Delay Differential Equations;Axioms;2022-04-19

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