Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 419, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2020.109690
Keywords
Scalar auxiliary variable approach; Linearly implicit scheme; Energy-preserving scheme; Conservative system
Funding
- National Natural Science Foundation of China [11901513, 11771213, 11971242]
- Yunnan Provincial Department of Education Science Research Fund Project [2019J0956]
- Foundation of Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems [201905]
- Science and Technology Innovation Team on Applied Mathematics in Universities of Yunnan
- National Key Research and Development Project of China [2017YFC0601406, 2018YFC1504205]
Ask authors/readers for more resources
In this paper, we generalize the exponential energy-preserving integrator proposed in the recent paper [SIAM J. Sci. Comput. 38 (2016) A1876-A1895] for conservative systems, which now becomes linearly implicit by further utilizing the idea of the scalar auxiliary variable approach. Comparing with the original exponential energy-preserving integrator which usually leads to a nonlinear algebraic system, our new method only involves a linear system with a constant coefficient matrix. Taking the nonlinear Klein-Gordon equation and the nonlinear Schrodinger equation for examples, we derive the concrete energy-preserving schemes and demonstrate their high efficiency through numerical experiments. (C) 2020 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available