A parallel exponential integrator scheme for linear differential equations

New approximations of the matrix φ functions are developed. These approximations are rational functions of a specific form allowing simple and accurate schemes for linear systems. Furthermore, these approximations are fully parallelizable. Several tests show the efficiency of the method and its good...

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Bibliographic Details
Published in:Applied numerical mathematics Vol. 208; pp. 356 - 364
Main Authors: Hecht, F., Kaber, S.-M.
Format: Journal Article
Language:English
Published: Elsevier B.V 01.02.2025
Subjects:
Exponential integrators
Matrix exponential
Parallel computing
Parallel computing
Exponential integrators
Matrix exponential
ISSN:0168-9274
Online Access:Get full text
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Summary:New approximations of the matrix φ functions are developed. These approximations are rational functions of a specific form allowing simple and accurate schemes for linear systems. Furthermore, these approximations are fully parallelizable. Several tests show the efficiency of the method and its good parallelization properties.
ISSN:0168-9274
DOI:10.1016/j.apnum.2024.10.018