Constanda S., Perez M.E. (editors) Integral Methods in Science and Engineering. Volume 2. Computational Methods

WIT Press, 2007. - 352 pages. The International Conference on Boundary Element and other Mesh Reduction Methods is now in its 29th year. The papers presented at the conference are contained in this volume. The continued success of this important meeting is due to the strength of the work carried out by the community since the original conference took place in Southampton in 1978. The current meeting continues with the tradition of innovation and...

Birkh?user Boston, 2005. - 329 pages. 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...

Birkh?user Boston, 2008. - 298 pages. The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various approximation schemes. Whether analytic or numerical, these soluti...

Society for Industrial Mathematics, 2008. - 475 pages. This new book from the authors of the classic book Numerical Methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementa...

Springer, 2010. - 250 pages. The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain mor...

McGraw-Hill, 1997. - 443 pages. Scientific Computing presents a broad overview of numerical methods and software for students and professionals in computational-oriented disciplines who need to solve mathematical problems. This clear, well-written text is particularly useful for students of engineering, computer science, and the sciences who want to learn which techniques (and software) are appropriate to use in problem solving.

Mastering modelling, and in particular numerical models, is becoming a crucial and central question in modern computational mechanics. Various tools, able to quantify the quality of a model with regard to another one taken as the reference, have been derived. Applied to computational strategies, these tools lead to new computational methods which are called "adaptive". The present book is concerned with outlining the state of the art and the late...

Academic Press, 1980. - 346 Pages. Two-point boundary value problems occur in all branches of engineering and science. In these problems the boundary conditions are specified at two points. To complicate the matter, the governing differential equations for a majority of such problems are nonlinear; since analytic solutions do not in general exist, solutions have to be obtained by numerical methods. Methods for the numerical solution of such pro...

Chapman & Hall/CRC, 2004. - 408 pages. Computational science supplements the traditional laboratory and theoretical methods of scientific investigation by providing mathematical models whose solutions can be approximated by computer simulations. By adjusting a model and running more simulations, we gain insight into the application under investigation. Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and...

Springer, 2007. 340 p. ISBN:3540482598 The printed proceedings of the EPMESC X includes 14 full papers of plenary and semi-plenary lectures, and approximately 166 one-page summaries. The series of EPMESC international conferences devoted to computational methods in engineering and science was created by a group of prominent scholars in the field: Prof. Arantes e Oliveira, Prof. Y. K. Cheung, Prof. T. Kawai and the late Prof. Luo Songfa. The fi...