By Howard C. Elman
The topic of this ebook is the effective resolution of partial differential equations (PDEs) that come up while modelling incompressible fluid stream. the fabric is geared up into 4 teams of 2 chapters each one, masking the Poisson equation (chapters 1 & 2); the convection-diffucion equation (chapters three & 4); the Stokes equations (chapters five & 6); and the Navier-Stokes equations (chapters 7 & 8). those equations characterize very important types in the area of computational fluid dynamics, yet additionally they come up in lots of different settings. for every PDE version, there's a bankruptcy desirous about finite point discretization. for every challenge and linked solvers there's a description of the way to compute in addition to theoretical research which publications the alternative of ways. Illustrative numerical effects take place in the course of the booklet, that have been computed with the freely downloadable IFISS software program. All numerical effects might be reproducible by way of readers who've entry to MATLAB and there's substantial scope for experimentation within the 'computational laboratory' supplied by way of the software program. This ebook offers a great creation to finite parts, iterative linear solvers and medical computing aimed toward graduates in engineering, numerical research, utilized arithmetic and interdisciplinary clinical computing. together with theoretical difficulties and sensible workouts heavily tied with freely downloadable MATLAB software program, this booklet is a perfect educating and studying source.
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