论文信息 - A Dissipative Galerkin Method for the Numerical Solution of First Order Hyperbolic Equations

A Dissipative Galerkin Method for the Numerical Solution of First Order Hyperbolic Equations

Publisher Summary This chapter focuses on connection between dissipative finite difference operators and a certain Galerkin-type method, for the numerical solution of first order one-dimensional hyperbolic problems, and discusses the extension of the Galerkin method to certain equations that are of third order in the space derivative. It also discusses the question of the accuracy in L 2 of the ordinary Galerkin method. The chapter also discusses the dissipativity of the Galerkin operator and discussion on higher order education.

Lars B. Wahlbin

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