Automated Solution of Differential Equations by the Finite Element Method
Automated Solution of Differential Equations by the Finite Element Method

Author: Anders Logg

Publisher: Springer Science & Business Media

Published: 2012-02-24

Total Pages: 723

ISBN-13: 3642230997

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This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Numerical Solution of Differential Equations
Numerical Solution of Differential Equations

Author: Zhilin Li

Publisher: Cambridge University Press

Published: 2017-11-30

Total Pages: 305

ISBN-13: 1107163226

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A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.

Chebyshev and Fourier Spectral Methods
Chebyshev and Fourier Spectral Methods

Author: John P. Boyd

Publisher: Courier Corporation

Published: 2001-12-03

Total Pages: 690

ISBN-13: 0486411834

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Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.