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Exponential integrator : ウィキペディア英語版 | Exponential integrator
Exponential integrators are a class of numerical methods for the solution of partial and ordinary differential equations. This large class of methods from numerical analysis is based on the exact integration of the linear part of the initial value problem described later in this article. Because the linear part is integrated exactly, this can help to mitigate the stiffness of a differential equation. Exponential integrators can be constructed to be explicit or implicit for numerical ordinary differential equations or serve as the time integrator for numerical partial differential equations. == Background == Dating back to at least the 1960s, these methods were recognized by Certain〔Certain (1960)〕 and Pope.〔Pope (1963)〕 As of late exponential integrators have become an active area of research. Originally developed for solving stiff differential equations, the methods have been used to solve partial differential equations including hyperbolic as well as parabolic problems〔Hochbruck and Ostermann, (2006)〕 such as the heat equation.
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