eBook, PDF

Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications (eBook, PDF)

In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics

Redaktion: Iliev, Oleg P.; Zikatanov, Ludmil T; Vassilevski, Panayot S.; Minev, Peter D; Margenov, Svetozar D.
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One of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time-dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey ...

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