LAUSR

Exponential Time-Stepping Method for Linear Complementarity Systems

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1 Published in 2022 at "IEEE Transactions on Automatic Control"

DOI: 10.1109/tac.2022.3183041

Abstract: Linear complementarity system (LCS) consists of an ordinary differential equation (ODE) and a linear complementarity problem (LCP). In this article, we propose an exponential time-stepping method for solving LCS, which uses exponential integrator to discretize… read more here.

Keywords: linear complementarity; exponential time; complementarity; stepping method ... See more keywords

Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation†

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0 Published in 2019 at "Communications in Computational Physics"

DOI: 10.4208/cicp.2019.js60.12

Abstract: In this paper, we rigorously prove the convergence of fully discrete firstand second-order exponential time differencing schemes for solving the Cahn-Hilliard equation. Our analyses mainly follow the standard procedure with the consistency and stability estimates… read more here.

Keywords: time; cahn hilliard; differencing schemes; exponential time ... See more keywords