Numerical Methods for Partial Differential Equations

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9780128498941: Numerical Methods for Partial Differential Equations
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"The book is rich in examples and numerical results. Each chapter contains exercises. The book could be a valuable text for engineering students." --Mathematical Reviews, Numerical Methods for Partial Differential Equations

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Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow.

For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful.

The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics. The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses.



  • Presents one of the few available resources that comprehensively describes and demonstrates the finite volume method for unstructured mesh used frequently by practicing code developers in industry
  • Includes step-by-step algorithms and code snippets in each chapter that enables the reader to make the transition from equations on the page to working codes
  • Includes 51 worked out examples that comprehensively demonstrate important mathematical steps, algorithms, and coding practices required to numerically solve PDEs, as well as how to interpret the results from both physical and mathematic perspectives

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Editorial: Academic Press Inc 2015-12-01 (2015)
ISBN 10: 0128498943 ISBN 13: 9780128498941
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Descripción Academic Press Inc 2015-12-01, 2015. Paperback. Estado de conservación: New. Nº de ref. de la librería NU-ELS-00008518

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Descripción Elsevier Science Publishing Co Inc, United States, 2016. Paperback. Estado de conservación: New. Reprint. 235 x 190 mm. Language: English . Brand New Book. Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow. For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful. The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics.The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses. Nº de ref. de la librería AAZ9780128498941

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Sandip Mazumder
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ISBN 10: 0128498943 ISBN 13: 9780128498941
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The Book Depository
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Descripción Elsevier Science Publishing Co Inc, United States, 2016. Paperback. Estado de conservación: New. Reprint. 235 x 191 mm. Language: English . Brand New Book. Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow. For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful. The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics. The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses. * Presents one of the few available resources that comprehensively describes and demonstrates the finite volume method for unstructured mesh used frequently by practicing code developers in industry* Includes step-by-step algorithms and code snippets in each chapter that enables the reader to make the transition from equations on the page to working codes* Includes 51 worked out examples that comprehensively demonstrate important mathematical steps, algorithms, and coding practices required to numerically solve PDEs, as well as how to interpret the results from both physical and mathematic perspectives. Nº de ref. de la librería AAZ9780128498941

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Mazumder, Sandip
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ISBN 10: 0128498943 ISBN 13: 9780128498941
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Descripción Academic Press, 2015. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780128498941

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Descripción Elsevier Science 2015-12-16, Amsterdam, 2015. paperback. Estado de conservación: New. Nº de ref. de la librería 9780128498941

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Descripción Elsevier Science Publishing Co Inc, 2016. Estado de conservación: New. Num Pages: 484 pages. BIC Classification: PBKJ; PBKS. Category: (U) Tertiary Education (US: College). Dimension: 235 x 191. . . 2016. 1st Edition. Paperback. . . . . . Nº de ref. de la librería V9780128498941

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