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Theory of Function Spaces III (Repost)

Posted By: AvaxGenius
Theory of Function Spaces III (Repost)

Theory of Function Spaces III By Hans Triebel
English | PDF | 2006 | 433 Pages | ISBN : 3764375817 | 3.42 MB

This book deals with the recent theory of function spaces as it stands now. Special attention is paid to some developments in the last 10–15 years which are closely related to the nowadays numerous applications of the theory of function spaces to some neighbouring areas such as numerics, signal processing and fractal analysis. In particular, typical building blocks as (non-smooth) atoms, quarks, wavelet bases and wavelet frames are discussed in detail and applied afterwards to some outstanding problems of the recent theory of function spaces such as a local smoothness theory, fractal measures, fractal analysis, spaces on Lipschitz domains and on quasi-metric spaces.

Computational Partial Differential Equations: Numerical Methods and Diffpack Programming

Posted By: AvaxGenius
Computational Partial Differential Equations: Numerical Methods and Diffpack Programming

Computational Partial Differential Equations: Numerical Methods and Diffpack Programming by Hans Petter Langtangen
English | PDF | 2003 | 882 Pages | ISBN : 3642628117 | 93.91 MB

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.

Numerical Simulation in Molecular Dynamics: Numerics, Algorithms, Parallelization, Applications

Posted By: AvaxGenius
Numerical Simulation in Molecular Dynamics: Numerics, Algorithms, Parallelization, Applications

Numerical Simulation in Molecular Dynamics: Numerics, Algorithms, Parallelization, Applications by Michael Griebel
English | PDF | 2007 | 472 Pages | ISBN : 3540680942 | 8.85 MB

Particle models play an important role in many applications in physics, chemistry and biology. They can be studied on the computer with the help of molecular dynamics simulations. This book presents in detail both the necessary numerical methods and techniques (linked-cell method, SPME-method, tree codes, multipole technique) and the theoretical background and foundations.