Hans P. Langtangen - Böcker
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3 produkter
3 produkter
634 kr
Skickas inom 10-15 vardagar
The target audience of this book is students and researchers in computational sciences who need to develop computer codes for solving partial differential equations. The exposition is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view. The main emphasis regards development of flexible computer programs, using the numerical library Diffpack. The application of Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. Diffpack is a modern software development environment based on C++ and object-oriented programming. All the program examples, as well as a test version of Diffpack, are available for free over the Internet. The second edition contains several new applications and projects, improved explanations, correction of errors, and is up to date with Diffpack version 4.0.
Del 10 - Lecture Notes in Computational Science and Engineering
Advances in Software Tools for Scientific Computing
Häftad, Engelska, 1999
1 632 kr
Skickas inom 10-15 vardagar
This book concerns programming techniques like object-oriented programming and generic (template) programming. These modern techniques have proven to increase flexibility, modularization, code reuse and improve maintenance of large numerical codes. The book contains 11 refereed and comprehensive chapters on major subjects in computational science and engineering: quality measurement of numerical software, high-performance numerical computations with C++ without sacrificing efficiency, a balanced discussion of Java in scientific computing, object-oriented design of direct sparse solvers, geometric kernels in geographical information systems, and tools for error estimation in finite element methods, tools for validating computational results, and how to simplify the implementation of highly complex mathematical model for material processing.
Del 1 - Texts in Computational Science and Engineering
Computational Partial Differential Equations
Numerical Methods and Diffpack Programming
Häftad, Engelska, 2012
538 kr
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The second edition features lots of improvements and new material. The most significant additions include - finite difference methods and implementations for a 1D time-dependent heat equation (Chapter 1. 7. 6), - a solver for vibration of elastic structures (Chapter 5. 1. 6), - a step-by-step instruction of how to develop and test Diffpack programs for a physical application (Chapters 3. 6 and 3. 13), - construction of non-trivial grids using super elements (Chapters 3. 5. 4, 3. 6. 4, and 3. 13. 4), - additional material on local mesh refinements (Chapter 3. 7), - coupling of Diffpack with other types of software (Appendix B. 3) - high-level programming offinite difference solvers utilizing the new stencil (finite difference operator) concept in Diffpack (Appendix D. 8). Many of the examples, projects, and exercises from the first edition have been revised and improved. Some new exercises and projects have also been added. A hopefully very useful new feature is the compact overview of all the program examples in the book and the associated software files, presented in Chapter 1. 2. Errors have been corrected, many explanations have been extended, and the text has been upgraded to be compatible with Diffpack version 4. 0. The major difficulty when developing programs for numerical solution of partial differential equations is to debug and verify the implementation. This requires an interplay between understanding the mathematical model,the in volved numerics, and the programming tools.