This text provides a foundation to the theory of error estimation for finite difference/volume schemes for differential equations with rough solutions. Included are applications to mathematical modelling of pollution, transport of phone noise in optical fibres, and economics.
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ISBN-13
978-0-412-44900-0 (9780412449000)
Schweitzer Klassifikation
Introduction and overview of convection-diffusion problems. Selected results from mathematical analysis. Difference schemes for steady problems. Finite element methods - Galerkin schemes. Petrov-Galerkin methods. Finite volume methods for steady problems. Unsteady problems.
