الصفحة 1
الصفحة 1
Numerical Solution of Partial Differential Equations on Parallel Computers
The scientific fields of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.
Numerical Methods and Applications ; 6th International Conference, NMA 2006, Borovets, Bulgaria, August 20-24, 2006, Revised Papers
This book constitutes the thoroughly refereed post-proceedings of the 6th International Conference on Numerical Methods and Applications, NMA 2006. The papers are organized in topical sections on numerical methods for hyperbolic problems, robust preconditioning solution methods, Monte Carlo and quasi-Monte Carlo for diverse applications, metaheuristics for optimization problems, uncertain/control systems and reliable numerics, interpolation and quadrature processes, large-scale computations in environmental modelling, and contributed talks.
Nanoinformatics
Brings out the state of the art on how informatics-based tools are used and expected to be used in nanomaterials research. There has been great progress in the area in which “big-data” generated by experiments or computations are fully utilized to accelerate discovery of new materials, key factors, and design rules. Data-intensive approaches play indispensable roles in advanced materials characterization. "Materials informatics" is the central paradigm in the new trend. "Nanoinformatics" is its essential subset, which focuses on nanostructures of materials such as surfaces, interfaces, dopants, and point defects, playing a critical role in determining materials properties. There have been significant advances in experimental and computational techniques to characterize individual atoms in nanostructures and to gain quantitative information. The collaboration of researchers in materials science and information science is growing actively and is creating a new trend in materials science and engineering.
Modeling and computations in electromagnetics ; A volume dedicated to Jean-Claude Nédélec
Modeling and computations in electromagnetics is a quite novel and growing discipline, expanding as a result of the steadily increasing demand for designing electrical devices, modeling electromagnetic materials, and simulating electromagnetic fields in nanoscale structures. The aim of this volume is to bring together prominent worldwide experts to review state-of-the-art developments and future trends of modeling and computations in electromagnetics. This volume is devoted to merging the expertise of scientists working in this dynamic discipline, and to raising interest for challenging issues. The most significant advances in computational techniques have been made only in the last few years, and several challenging technological applications are presented in this volume.
Matrix Algebra : Theory, Computations, and Applications in Statistics
Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. The first part of this book presents the relevant aspects of the theory of matrix algebra for applications in statistics. This part begins with the fundamental concepts of vectors and vector spaces, next covers the basic algebraic properties of matrices, then describes the analytic properties of vectors and matrices in the multivariate calculus, and finally discusses operations on matrices in solutions of linear systems and in eigenanalysis. This part is essentially self-contained.
Mathematics and Politics : Strategy, Voting, Power and Proof
Mathematics and Politics requires no prerequisites in either subject. The underlying philosophy involves minimizing algebraic computations while focusing on the conceptual aspects of mathematics in the context of real-world questions in political science. This new addition has an added co-author, Allison Pacelli, and covers six major topics: social choice, yes-no voting systems, political power, game-theoretic models of international conflict, fairness, and escalation. In addition to having two new chapters (treating apportionment and conflict resolution), the text has been extensively reorganized and the number of exercises increased to over 300.
Integer Programming and Combinatorial Optimization ; 11th International IPCO Conference, Berlin, Germany, June 8-10, 2005, Proceedings
Since its start in 1990, the IPCO conference series (held under the auspices of theMathematicalProgrammingSociety)hasbecomeanimportantforumforthe presentation of recent results in Integer Programming and Combinatorial Op- mization. This volume compiles the papers presented at IPCO XI, the eleventh conference in this series, held June 8–10, 2005, at the Technische Universit¨ at Berlin. The high interest in this conference series is evident in the large number of submissions. For IPCO XI, 119 extended abstracts of up to 10 pages were submitted. During its meeting on January 29–30, 2005, the Program Committee carefully selected 34 contributions for presentation in non-parallel sessions at the conference. The ?nal choices were not easy at all, since, due to the limited number of time slots, many very good papers could not be accepted. During the selection process the contributions were refereed according to the standards of refereed conferences. As a result of this procedure, you have in your hands a volume that contains papers describing high-quality research e?orts. The page limit for contributions to this proceedings volume was set to 15. You may ?nd full versions of the papers in scienti?c journals in the near future. We thank all the authors who submitted papers. Furthermore, the Program Committee is indebted to the many reviewers who, with their speci?c expertise, helped a lot in making the decisions.
Inelastic analysis of solids and structures
This book presents computational procedures for the stress integration of inelastic constitutive relations within the incremental-iterative finite element analysis and general strain-driven problems of solids and structures.
High performance computing on vector systems 2007 ; Conference proceedings
The following book presents contributions from the 6th TERAFLOP Workshop which was hosted by Tohoku University in Sendai, Japan in Autumn 2006 and the 7th Workshop in Stuttgart which was held in spring 2007 in Stuttgart. Focus is layed on current applications and future requirements, as well as developments of next generation hardware architectures and installations. The papers presented in this book lay out the wide range of fields in which sustained performance can be achieved if engineering knowledge, numerical mathematics and computer science skills are brought together. With the advent of hybrid systems, the Teraflop workbench project will continue the support of leading edge computations for future applications.
High performance computing for computational science - VECPAR 2004 ; 6th International conference, Valencia, Spain, June 28-30, 2004, Revised Selected and Invited Papers
VECPAR is a series of international conferences dedicated to the promotion and advancement of all aspects of high-performance computing for computational science, as an industrial technique and academic discipline, extending the fr- tier of both the state of the art and the state of practice. The audience for and participants in VECPAR are seen as researchers in academic departments, g- ernment laboratories and industrial organizations. There is now a permanent website for the series, http://vecpar.fe.up.pt, where the history of the conf- ences is described. ThesixtheditionofVECPARwasthe?rsttimetheconferencewascelebrated outside Porto – at the Universitad Politecnica de Valencia (Spain), June 28–30, 2004.
Handbook of Mathematical Geosciences : Fifty Years of IAMG
Presents a compilation of invited path-breaking research contributions by award-winning geoscientists who have been instrumental in shaping the IAMG. It contains 45 chapters that are categorized broadly into five parts (i) theory, (ii) general applications, (iii) exploration and resource estimation, (iv) reviews, and (v) reminiscences covering related topics like mathematical geosciences, mathematical morphology, geostatistics, fractals and multifractals, spatial statistics, multipoint geostatistics, compositional data analysis, informatics, geocomputation, numerical methods, and chaos theory in the geosciences.
Handbook of Geometric Computing : Applications in Pattern Recognition, Computer Vision, Neuralcomputing, and Robotics
Many computer scientists, engineers, applied mathematicians, and physicists use geometry theory and geometric computing methods in the design of perception-action systems, intelligent autonomous systems, and man-machine interfaces. This handbook brings together the most recent advances in the application of geometric computing for building such systems, with contributions from leading experts in the important fields of neuroscience, neural networks, image processing, pattern recognition, computer vision, uncertainty in geometric computations, conformal computational geometry, computer graphics and visualization, medical imagery, geometry and robotics, and reaching and motion planning. For the first time, the various methods are presented in a comprehensive, unified manner.
Graph-theoretic concepts in computer science ; Vol. 3787 ; 31st International Workshop, WG 2005, Metz, France, June 23-25, 2005, Revised Selected Papers
that aims to unite theory and practice by demonstrating how graph-theoretic concepts can be applied to various areas in Computer Science. This book provides results for various classes of graphs, graph computations, graph algorithms, and graph-theoretical applications in various fields.
Graph Transformations ; 4th International Conference, ICGT 2008, Leicester, United Kingdom, September 7-13, 2008. Proceedings
This book constitutes the refereed proceedings of the 4th International Conference on Graph Transformations, ICGT 2008, held in Leicester, UK, in September 2008.The 27 revised full papers presented together with 5 tutorial and workshop papers and 3 invited lectures were carefully selected from 57 submissions. All current aspects in graph drawing are addressed including hypergraphs and termgraph rewriting, applications of graph transformation, execution of graph transformations, compositional systems, validation and verification, graph languages and special transformation concepts, as well as patterns and model transformations.
Graph Transformations ; 3rd International Conference, ICGT 2006, Rio Grande do Norte, Brazil, September 17-23, 2006, Proceedings
ICGT 2006 was the 3rd International Conference on Graph Transformation, following the previous two in Barcelona (2002) and Rome (2004), and a series of six international workshops between 1978 and 1998. The scope of the conference concerned graphical structures of various kinds (like graphs, diagrams and visual sentences) that are useful when describing complex structures and systems in a direct and intuitive way. These structures are often enriched with formalisms that model their evolution via suitable kinds of transformations. The ?eld of the conference was concerned with the theory, applications, and implementation issues of such formalisms. Particularemphasis wasputonmetamodelswhichcanaccommodateavarietyofgraphicalstructures within the same abstract theory.
Graph drawing ; Vol. 3843 ; 13 th International symposium, GD 2005, Limerick, Ireland, September 12-14, 2005, Revised Papers
The 13th International Symposium on Graph Drawing (GD 2005) was held in Limerick, Ireland, September 12-14, 2005. One hundred and ?fteen participants from 19 countries attended GD 2005. In response to the call for papers the Program Committee received 101 subm- sions, each detailing original research or a system demonstration. Each submission was reviewed by at least three Program Committee members; each referee’s c- ments were returned to the authors. Following extensive discussions, the comm- tee accepted 38 long papers, 3 short papers and 3 long system demos, each of which were presented during one of the conference’s 12 sessions. Eight posters were also accepted and were on display throughout the conference.
Graph drawing ; Vol. 3383 ; 12th International symposium, GD 2004, New York, NY, USA, September 29-October 2, 2004, Revised Selected Papers
This book constitutes the thoroughly refereed post-proceedings of the 12th International Symposium on Graph Drawing, GD 2004, held in New York, NY, USA in September/October 2004. The 39 revised full papers and 12 revised short papers presented together with 4 posters and a report on the graph drawing context were carefully selected during two rounds of reviewing and improvement. All current aspects in graph drawing are addressed ranging from foundational and methodological issues to applications for various classes of graphs in a variety of fields.
Fuchsian Reduction : Applications to Geometry, Cosmology, and Mathematical Physics
Fuchsian reduction is a method for representing solutions of nonlinear PDEs near singularities. The technique has multiple applications including soliton theory, Einstein's equations and cosmology, stellar models, laser collapse, conformal geometry and combustion. Developed in the 1990s for semilinear wave equations, Fuchsian reduction research has grown in response to those problems in pure and applied mathematics where numerical computations fail.
Expounding the Mathematical Seed ; Vol.2 : The Supplements : A Translation of Bhāskara I on the Mathematical Chapter of the Āryabhatīya
Subjects treated in Bhaskara’s commentary range from computing the volume of an equilateral tetrahedron to the interest on a loaned capital, from computations on series to an elaborate process to solve a Diophantine equation.This volume contains explanations for each verse commentary translated in Volume 1. These supplements discuss the linguistic and mathematical matters exposed by the commentator. Particularly helpful for readers are an appendix on Indian astronomy, elaborate glossaries, and an extensive bibliography.
Expounding the Mathematical Seed ; Vol.1 : The Translation : A Translation of Bhāskara I on the Mathematical Chapter of the Āryabhatīya
Subjects treated in Bhaskara’s commentary range from computing the volume of an equilateral tetrahedron to the interest on a loaned capital, from computations on series to an elaborate process to solve a Diophantine equation.This volume contains an introduction and the literal translation.The introduction aims at providing a general background for the translation and is divided in three sections: the first locates Bhaskara’s text, the second looks at its mathematical contents and the third section analyzes the relations of the commentary and the treatise.
