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- W3140228045 abstract "Implicit-explicit (IMEX) linear multistep methods are popular techniques for solving partial differential equations (PDEs) with terms of different types.While fixed timestep versions of such schemes have been developed and studied,implicit-explicit schemes also naturally arise in general situations where the temporal smoothness of the solution changes.In this paper we consider easily implementable variable step-size implicit-explicit (VSIMEX) linear multistep methods for time-dependent PDEs.Families of order-p,pstep VSIMEX schemes are constructed and analyzed,where p ranges from 1 to 4.The corresponding schemes are simple to implement and have the property that they reduce to the classical IMEX schemes whenever constant time step-sizes are imposed.The methods are validated on the Burgers' equation.These results demonstrate that by varying the time step-size,VSIMEX methods can outperform their fixed time step counterparts while still maintaining good numerical behavior." @default.
- W3140228045 created "2021-04-13" @default.
- W3140228045 creator A5021325251 @default.
- W3140228045 date "2008-01-01" @default.
- W3140228045 modified "2023-09-27" @default.
- W3140228045 title "VARIABLE STEP-SIZE IMPLICIT-EXPLICIT LINEAR MULTISTEP METHODS FOR TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS" @default.
- W3140228045 hasPublicationYear "2008" @default.
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