Explicit multistep methods for nonstiff partial differential equations
نویسندگان
چکیده
منابع مشابه
Explicit Multistep Methods for Nonstiff Partial Differential Equations
We approximate the solution of initial boundary value problems for equations of the form Au′(t) = B(t, u(t)), t ∈ [0, t?]. A is a linear, selfadjoint, positive definite operator on a Hilbert space (H, (·, ·)) and B is a possibly nonlinear operator. We discretize in space by finite element methods and for the time discretization we use explicit linear multistep schemes. We derive optimal order e...
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Implicit-explicit multistep methods for quasilinear parabolic equations
Efficient combinations of implicit and explicit multistep methods for nonlinear parabolic equations were recently studied in [1]. In this note we present a refined analysis to allow more general nonlinearities. The abstract theory is applied to a quasilinear parabolic equation. Dedicated to Professor Vidar Thomée on the occasion of his 65 birthday, August 20, 1998
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ژورنال
عنوان ژورنال: Applied Numerical Mathematics
سال: 1998
ISSN: 0168-9274
DOI: 10.1016/s0168-9274(97)00112-8