Numerical Analysis
Numerical Methods for Solids (Part 3) Numerical Methods for Fluids (Part 1) (Handbook of Numerical Analysis, #6)
by P G Ciarlet
Integration Gew hnlicher Differentialgleichungen (de Gruyter Lehrbuch)
by Peter Deuflhard and Folkmar Bornemann
This book is the second of a set dedicated to the mathematical tools used in partial differential equations derived from physics. It presents the properties of continuous functions, which are useful for solving partial differential equations, and, more particularly, for constructing distributions valued in a Neumann space. The author examines partial derivatives, the construction of primitives, integration and the weighting of value functions in a Neumann space. Many of them are new generalizati...
Investigation Methods for Inverse Problems (Inverse and Ill-Posed Problems, #34)
This monograph deals with some inverse problems of mathematical physics. It introduces new methods for studying inverse problems and gives obtained results, which are related to the conditional well posedness of the problems. The main focus lies on time-domain inverse problems for hyperbolic equations and the kinetic transport equation.
Approximation Methods for the Uniform Coverage Problem in the Spunbond Process.
by Dimitri Nowak
Precalculus Experiments with the Casio Graphics Calculator
by Lawrence Gilligan
This textbook offers a modern, Python-driven introduction to computational techniques for mathematicians, scientists and engineers. After introducing nonlinear dynamics it is structured into a variety of stand-alone numerical experiments, from the logistic map to stability problems in mechanical engineering and pattern emergence in chemical reactions. While examples are shown, facets of the solutions are left to train the reader in exercises.
This book provides comprehensive knowledge and up-to-date developments of the p and h-p finite element methods. Introducing systematically the Jacobi-weighted Sobolev and Besov spaces, it establishes the approximation theory in the framework of these spaces in n dimensions. This is turn leads to the optimal convergence of the p and h-p finite element methods with quasi-uniform meshes in two dimensions for problems with smooth solutions and singular solutions on polygonal domains. The book is bas...
Applied Analysis of Composite Media (Woodhead Publishing Series in Composites Science and Engineering)
by Piotr Drygas, Simon Gluzman, Vladimir Mityushev, and Wojciech Nawalaniec
Applied Analysis of Composite Media: Analytical and Computational Approaches presents formulas and techniques that can used to study 2D and 3D problems in composites and random porous media. The main strength of this book is its broad range of applications that illustrate how these techniques can be applied to investigate elasticity, viscous flow and bacterial motion in composite materials. In addition to paying attention to constructive computations, the authors have also included information o...
Numerical Analysis: Historical Developments in the 20th Century
by C Brezinski and L. Wuytack
Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Com...
Fundamentals of Grid Generation is an outstanding text/reference designed to introduce students in applied mathematics, mechanical engineering, and aerospace engineering to structured grid generation. It provides excellent reference material for practitioners in industry, and it presents new concepts to researchers. Readers will learn what boundary-conforming grids are, how to generate them, and how to devise their own methods. The text is written in a clear, intuitive style that doesn't get bog...