Woolfson M.M., Pert G.J. An Introduction to Computer Simulation

WIT Press, 1998. ISBN 1853121606(K)(T). (325s). Why Boundary Elements? References. Basic Concepts. Fundamental Concepts. The Poisson's liquation. Approximate Solutions. Weighted Residual Techniques. Weak Formulations. Boundary and Domain Solutions. Concluding Remarks. Exercises. Potential Problems. Introduction. Basic Integral liquation. The Boundary Element Method. Computer Code for Potential Problems using Constant Elements (POCONBE). Linear El...

Springer-Verlag Berlin, 2006, 482 pages This book surveys the major topics that are essential to high-performance simulation on parallel computers or computational clusters. These topics, including programming models, load balancing, mesh generation, efficient numerical solvers, and scientific software, are vital ingredients in the research fields of computer science, numerical analysis, and scientific computing. In addition to presenting the...

The objectives of this book are to survey the theoretical results that are involved in the numerical analysis of wavelet methods, and more generally of multiscale decomposition methods, for numerical simulation problems, and to provide the most relevant examples of such mathematical tools in this particular context. Content: 1 Basic examples 1.1 Introduction 1.2 The Haar system 1.3 The Schauder hierarchical basis 1.4 Multivariate constructions 1...

Springer, 2007. - 372 pages. Modern computer algebra systems are revolutionizing the teaching and learning of mathematically intensive subjects in science and engineering, enabling students to explore increasingly complex and computationally intensive models that provide analytic solutions, animated numerical solutions, and complex two- and three-dimensional graphic displays. This self-contained text benefits from a spiral structure that regular...

The MIT Press, 1985. - 170 pages. The use of computer-aided design (CAD) systems always involves the introduction of mathematical concepts. It is important, therefore, for any systems designer to have a good grasp of the mathematical bases used in CAD. This book introduces mathematical bases in a general way, so as to allow the reader to understand the basic tools. Based on the-work of leading French researchers, it gives a clear outline of the...

Academic Press, 1991. - 344 pages. Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places...

New Age Publications, 2009. - 618 pages. Salient features of this work include: mathematical derivation of each method is given to build the students understanding of numerical analysis; a variety of solved examples are given; computer programs for almost all numerical methods discussed have been presented in 'C' language; error analysis for almost all methods are presented; each chapter begins with an introduction of concerned topic; and, exerc...

Springer, 1991. - 348 p. ISBN:0-387-96688-9 The goal of this book qre to present an elementary introduction on chaotic systems for the non-specialist, and to present and extensive package of computer algorithms ( in the form of pseudocode) for simulating and characterizing chaotic phenomena. These numerical algorithms have been implemented in a software package called INSITE (Interactive Nonlinear System Investigative Toolkit for Everyone) which...

Chаpman and Hаll/CRС, 2006. - 552 pages. A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a...

Princeton University Press, 2011. - 342 p. ISBN:978-0-691-14686-7 Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the comp...