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This book consists of 20 review articles dedicated to Prof. Philip Roe on the occasion of his 60th birthday and in appreciation of his original contributions to computational fluid dynamics. The articles, written by leading researchers in the field, cover many topics, including theory and applications, algorithm developments and modern computational techniques for industry.
Contents:

• "A One-Sided View": The Real Story (B van Leer)
• Collocated Upwind Schemes for Ideal MHD (K G Powell)
• The Penultimate Scheme for Systems of Conservation Laws: Finite

Differential equations, Partial --- Numerical solutions

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Wave equation --- Numerical analysis. --- Numerical solutions.

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Perturbation (Mathematics). --- Differential equations --- Differential equations, Partial --- Numerical solutions. --- Numerical solutions.

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Numerical solutions of differential equations --- Finite element method. --- Monograph

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Many texts on partial differential equations (PDEs) are too detailed and voluminous, making them daunting to the average student. This undergraduate treatment is designed as a no-frills text that explains completely but succinctly the major methods used in elementary PDEs. This text stands apart by providing full but concise explanations of the essence of the topics and many worked examples and exercises, which should facilitate a quick understanding of the material. Solution Techniques for Elementary Partial Differential Equations has been class tested with great success, and postscript files will be available to instructors for producing overhead projector transparencies for class instruction.

Differential equations --- 517.95 --- Partial differential equations --- Differential equations, Partial --- Numerical solutions. --- 517.95 Partial differential equations --- Numerical analysis --- Numerical solutions