Preconditioned implicit-exponential integrators (IMEXP) for stiff PDEs

JOURNAL OF COMPUTATIONAL PHYSICS

卷:335

Article

Vu Thai Luan^1,2  Tokman, Mayya¹  Rainwater, Greg¹ 

[1] Univ Calif Merced, Sch Nat Sci, 5200 North Lake Rd, Merced, CA 95343 USA

[2] Vietnam Acad Sci & Technol, Inst Informat Technol, 18 Hoang Quoc Viet, Hanoi, Vietnam

关键词: Exponential integrators;    Stiff differential equations;    Implicit-explicit exponential;    Preconditioner;   

DOI  :  10.1016/j.jcp.2017.01.054

来源: Elsevier

【 摘 要 】

We propose two new classes of time integrators for stiff DEs: the implicit exponential (IMEXP) and the hybrid exponential methods. In contrast to the existing exponential schemes, the new methods offer significant computational advantages when used with preconditioners. Any preconditioner can be used with any of these new schemes. This leads to a broader applicability of exponential methods. The proof of convergence of these integrators and numerical demonstration of their efficiency are presented. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free