Corpus ID: 16133790

VARIABLE STEP-SIZE IMPLICIT-EXPLICIT LINEAR MULTISTEP METHODS FOR TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS *

@inproceedings{Wang2008VARIABLESI,
  title={VARIABLE STEP-SIZE IMPLICIT-EXPLICIT LINEAR MULTISTEP METHODS FOR TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS *},
  author={Dong Wang and Steven J. Ruuth},
  year={2008}
}
  • Dong Wang, Steven J. Ruuth
  • Published 2008
  • Mathematics
  • Implicit-explicit (IMEX) linear multistep methods are popular techniques for solving partial dierential equations (PDEs) with terms of dierent 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… CONTINUE READING
    30 Citations

    Figures and Tables from this paper

    Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems
    • 11
    A Variable Step Size Implicit-Explicit Scheme for the Solution of the Poisson-Nernst-Planck Equations
    • 1
    • Highly Influenced
    • PDF
    Adaptive Time-stepping Schemes for the Solution of the Poisson-Nernst-Planck Equations
    • 1
    • Highly Influenced
    • PDF
    A Study of the Numerical Stability of an ImEx Scheme with Application to the Poisson-Nernst-Planck Equations
    • 1
    • Highly Influenced
    • PDF
    Construction of IMEX DIMSIMs of high order and stage order
    • 10
    • PDF
    Simulation of the Navier–Stokes equations in three dimensions with a spectral collocation method
    • 54
    • PDF

    References

    SHOWING 1-10 OF 17 REFERENCES
    On the zero-stability of variable stepsize multistep methods: the spectral radius approach
    • 51
    On Numerical Integration of Ordinary Differential Equations
    • 297
    • PDF
    The numerical integration of ordinary differential equations
    • T. E. Hull
    • Computer Science, Mathematics
    • IFIP Congress
    • 1968
    • 91
    • PDF
    Numerical Methods for Ordinary Differential Systems: The Initial Value Problem
    • 1,314