Book Description

Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. This present volume is dedicated to him and contains research papers written by highly distinguished mathematicians. They are all related to Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations. Special topics include: Hamilton-Jacobi equations, the porous medium equation, reaction diffusion systems, integro-differential equations and visco-elasticity, maximal regularity for elliptic and parabolic equations, and the Ornstein Uhlenbeck operator. Also in this special volume, the legendary work of Bénilan-Brézis on Thomas-Fermi Theory is published for the first time. ... Read more

Book Description

This book is the proceedings of a top-quality meeting on multigrid methods and will become a standard reference for researchers in computational science and engineering as well as numerical analysis. ... Read more

Book Description

This volume presents stability theory for differential equations concentrating on functional differential equations with delay, integrodifferential equations and related topics. The authors provide background to the modern theory of functional differential equations and introduce some new flexible methods of investigation of the asymptotic behavior of solutions to a range of equations. The volume also includes some results from the authors' research group based in perm and provides a useful reference text for graduates and researchers working in mathematical and engineering science. ... Read more

Book Description

The focus of this book is the physical modeling of mechatronic sensors and actuators and their precise numerical simulation using the Finite Element Method (FEM). It is complete in the sense that it discusses the physical modeling as well as numerical computation. In addition, a comprehensive introduction to finite elements, including their computer implementation, is given. Furthermore, industrial applications motivates the reader with clear demonstrations the importance of numerical simulation for industry. A large part of the book describes the application of the developed numerical calculation schemes to industrial problems, e.g.: analysis and optimiztion of electrodynamic loudspeakers; acoustic emission of electric power transformers; simulaton based improvements of electromagnetic vales; piezoelectric stack actuators as used e.g. in Common Rail Diesel injection systems; and ultrasonic imaging system based on electrostatic micromachined transducers. ... Read more

Book Description

Meshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering but also in the mathematics community. One of the reasons for this development is the fact that meshfree discretizations and particle models are often better suited to cope with geometric changes of the domain of interest, e.g. free surfaces and large deformations, than classical discretization techniques such as finite differences, finite elements or finite volumes. Another obvious advantage of meshfree discretization is their independence of a mesh so that the costs of mesh generation are eliminated. Also, the treatment of time-dependent PDE from a Lagrangian point of view and the coupling of particle models. The coupling of particle models and continuous models gained enormous interest in recent years from a theoretical as well as from a practical point of view. This volume consists of articles which address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM etc.) and their application in applied mathematics, physics and engineering. ... Read more

Book Description

This introductory book directs the reader to a selection of useful elementary numerical algorithms on a reasonably sound theoretical basis, built up within the text. The primary aim is to develop algorithmic thinking -- emphasizing long living computational concepts over fast changing software issues. The guiding principle is to explain modern numerical analysis concepts applicable in complex scientific computing at much simpler model problems. For example, the two adaptive techniques in numerical quadrature elaborated here carry the germs for either extrapolation methods or multigrid methods in differential equations, which are not treated here. The presentation draws on geometrical intuition wherever appropriate, supported by a large number of illustrations.

Numerous exercises are included for further practice and improved understanding. This text will appeal to undergraduate and graduate students as well as researchers in mathematics, computer science, science, and engineering. At the same time it is addressed to practical computational scientists who, via self-study, wish to become acquainted with modern concepts of numerical analysis and scientific computing on an elementary level. Sole prerequisite is undergraduate knowledge in Linear Algebra and Calculus. ... Read more

Book Description

A lead figure in twentieth century noncommutative algebra, S. A.Amitsur's contributions are wide-ranging and enduring. Thisvolume collects almost all of his work. The papers are organizedinto broad topic areas: general ring theory, rings satisfying apolynomial identity, combinatorial polynomial identity theory,and division algebras. Included are essays by the editors onAmitsur's work in these four areas and a biography of Amitsurwritten by A. Mann. This volume makes a fine addition to anymathematics book collection. ... Read more

Book Description

The analysis and simulation of multifield problems have recently become one of the most actual and vivid areas of research. Although the individual subproblems of complex technical and physical phenomena often are understood separately, their interaction and coupling create not only new difficulties but also a complete new level and quality of interacting coupled field problems. Presented by leading experts this book includes recent results in these fields from the International Conference on Multifield Problems, April 8-10, 2002 at the University of Stuttgart, Germany. ... Read more

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Set. ... Read more

Book Description

This work is devoted to the theory and approximation of nonlinear hyperbolic systems of conservation laws in one or two spaces variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. While in the earlier publication, the authors concentrate on the mathematical theory of multidimensional scalar conservation laws, in this work, they consider systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems. ... Read more

Book Description

The book contains invited lectures from the International Symposium on the Anisotropic Behaviour of Damaged Materials, held in Krakow, Poland, September 9-11, 2002. Eminent researchers and world experts in the field of damage mechanics report recent achievements and state-of-the-art results in the field. The book deals with the anisotropic damage mechanics involving micromechanical aspects and thermo-mechanical coupling. The contents are both of academic interest and relevant for practical applications, especially those concerning more advanced anisotropic models of materials and the transition from the microscopic to the macroscopic level. ... Read more