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- W81468614 abstract "This chapter focuses on the Richardson extrapolation for parabolic Galerkin methods. The chapter discusses that approximations generated by certain discrete Galerkin procedures can be modified using Richardson extrapolation to obtain approximations whose time discretization error is 0((Δt) p(s+1) ), where s is a positive integer. As an example, the heat equation in the cylinder D × (0,T] subject to homogeneous Dirichlet boundary conditions is considered. D is a bounded domain in R n . The techniques described in the chapter can be used to analyze a family of three-level methods proposed by Dupont, Fairweather, and Johnson. These methods are algebraically linear even for nonlinear problems. It can be shown that for a wide class of nonlinear problems one extrapolation may be performed to obtain an approximation which is fourth-order correct in time." @default.
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- W81468614 date "1972-01-01" @default.
- W81468614 modified "2023-09-27" @default.
- W81468614 title "RICHARDSON EXTRAPOLATION FOR PARABOLIC GALERKIN METHODS" @default.
- W81468614 doi "https://doi.org/10.1016/b978-0-12-068650-6.50035-6" @default.
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