The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful...
The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, parti...
The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques. In relatively simple terms, this book describes a class of techniques that fulfill this need by providing closed-form solutions to many boundary value problems that arise in science and engineering. Boundary integral equation methods (BIEM's) have certain advantages over other procedures for solving such problems: BIEM's are powerful, applicable to a wide...
The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more soph...
The Proceedings of the Fifth International Conference on Integral Methods in Science and Engineering, form a collection of papers addressing the solution of mathematical problems from various physical domains by integral methods in conjunction with various approximation schemes. Written by acknowledged experts, these peer-reviewed papers offer recent developments in both theory and application valuable to applied mathematicians, engineers, and physicists.
The Proceedings of the Fifth International Conference on Integral Methods in Science and Engineering, form a collection of papers addressing the solut...
This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples.
This volume contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index...
Faculty of Engineering, University of Alberta; Faculty of Science, University of Alberta. As on previous occasions, advice and general guidance were provided by the International Steering Committee. The next IMSE conference will be held in August 2002 at the University be found on the of Saint-Etienne, France. Details concerning this event can VVEB pagehttp: //wwwean. univ-st-etienne. fr/imse2002/index. htm. This volume contains five invited papers and thirty-five contributed pa- pers accepted after peer review. The papers are arranged in alphabetical order by (first) author's surname. The...
Faculty of Engineering, University of Alberta; Faculty of Science, University of Alberta. As on previous occasions, advice and general guidance were p...