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Exponential integrators for linear inhomogeneous problems
Author(s) -
Medvedeva Marina A.,
Simos T. E.,
Tsitouras Ch.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6802
Subject(s) - mathematics , runge–kutta methods , exponential function , constant (computer programming) , integrator , exponential integrator , initial value problem , exponential growth , function (biology) , mathematical optimization , mathematical analysis , numerical analysis , differential equation , computer science , ordinary differential equation , differential algebraic equation , computer network , bandwidth (computing) , evolutionary biology , biology , programming language
We consider the mildly stiff and stiff inhomogeneous linear initial value Problems sharing constant coefficients. Exponential Runge–Kutta methods are considered to tackle this problem. For this type of problem, we were able to save a function evaluation (stage) per step compared to the best available methods. This is important, as seen in various computational experiments where our current approach outperforms older ones.