Reliable Methods for Computer Simulation, Volume 33: Error Control and Posteriori Estimates (Studies in Mathematics and its Applications)

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Reliable Methods for Computer Simulation, Volume 33: Error Control and Posteriori Estimates (Studies in Mathematics and its Applications) Overview

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker.

In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems.

The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time.

· computable bounds of approximation errors
· checking algorithms
· iteration processes
· finite element methods
· elliptic type problems
· nonlinear variational problems
· variational inequalities

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Computer Simulations of Surfaces and Interfaces (NATO Science Series II: Mathematics, Physics and Chemistry)

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Computer Simulations of Surfaces and Interfaces (NATO Science Series II: Mathematics, Physics and Chemistry) Overview

Studies of surfaces and interactions between dissimilar materials or phases are vital for modern technological applications. Computer simulation methods are indispensable in such studies and this book contains a substantial body of knowledge about simulation methods as well as the theoretical background for performing computer experiments and analyzing the data. The book is self-contained, covering a range of topics from classical statistical mechanics to a variety of simulation techniques, including molecular dynamics, Langevin dynamics and Monte Carlo methods. A number of physical systems are considered, including fluids, magnets, polymers, granular media, and driven diffusive systems. The computer simulation methods considered include both standard and accelerated versions. The simulation methods are clearly related to the fundamental principles of thermodynamics and statistical mechanics.

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Computational Mathematics: Modelling and Algor

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Computational Mathematics: Modelling and Algor Overview

This comprehensive volume introduces educational units dealing with important topics in Mathematics, Modelling and Algorithms.

Key Features:

· Illustrative examples and exercises

· Comprehensive bibliography

Contents: Preface / Is Entscheidungsproblem Solvable? Beyond Undecidability of Turing Machines and Its Consequence for Computer Science and Mathematics: E. Eberbach / Specification Language Design for Hybrid Systems: L.M. Patnaik & S. Mitra/ Modelling, Analysis, Monitoring and Control of the Internet to Provide Quality of Service: V. Sharma / Function of Factor Dynamics: Time Evolution of the Latent Structure: V. Ivancevic, M. Cicin-Sain / Error and Computational Complexity in Engineering: S.K. Sen / Entropy and Counting: J. Radhakrishnan / Models of Distributed Systems: G. Ciobanu & M.Rotaru / Cryptographic Applications: P. Caballero-Gil, C. Hernandez-Goya & C. Bruno-Castanenda / Pattern Recognition (PR) and Machine Learning (ML): Current Trends and Some Applications: D. Dutta Majumder / Fuzzy Regression Analysis Via Neuro-Fuzzy Network and Its Application to System Modelling and Optimization: E. Stanley Lee & Chi-Bin Cheng / Sparse Rule-based Fuzzy Reasoning: Yan Shi & Masaharu Mizumoto / Efficient Rare Event Simulation Using Importance Sampling: An Introduction: S. Juneja / Agent Searching: P. Dasgupta, P.P. Chakrabarti & S.C. DeSarkar / Competitive Deadline Scheduling Via Extra Resources: Tak-Wah Lam & Ka-Keung To / Fast Algorithms and Scientific Computation: P. Daripa / Online Optimization Through Mining the Offline Optimum: Jason W.H. Lee, Y.C. Tay & A.K.H. Tung

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Molecular Modeling and Simulation: An Interdisciplinary Guide (Interdisciplinary Applied Mathematics)

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Molecular Modeling and Simulation: An Interdisciplinary Guide (Interdisciplinary Applied Mathematics) Overview

This book evolved from an interdisciplinary graduate course entitled Molecular Modeling developed at New York University. Its primary goal is to stimulate excitement for molecular modeling research while introducing readers to the wide range of biomolecular problems being solved by computational techniques and to those computational tools. The book is intended for beginning graduate students in medical schools and scientific fields such as biology, chemistry, physics, mathematics, and computer science. Other scientists who wish to enter, or become familiar, with the field of biomolecular modeling and simulation may also benefit from the broad coverage of problems and approaches. The book surveys three broad areas: biomolecular structure and modeling: current problems and state of computations; molecular mechanics: force field origin, composition, and evaluation techniques; and simulation methods: geometry optimization, Monte Carlo, and molecular dynamics approaches. Appendices featuring homework assignments, reading lists, and other information useful for teaching molecular modeling complement the material in the main text. Extensive use of world wide web resources is encouraged, and additional course and text information may be found on a supplementary website. Some praise for Tamar Schlick¿s ¿Molecular Modeling and Simulation: An Interdisciplinary Guide¿:||"The interdisciplinary structural biology community has waited long for a book of this kind which provides an excellent introduction to molecular modeling.¿|¿Harold A. Scheraga, Cornell University||"A uniquely valuable introduction to the modeling of biomolecular structure and dynamics. A rigorous and up-to-date treatment of the foundations, enlivened by engaging anecdotes and historical notes.¿|¿J. Andrew McCammon, Howard Hughes Medical Institute, University of California at San Diego||"I am often asked by physicists, mathematicians and engineers to recommend a book that would be useful to get them started in computational molecular biology. I am also often approached by my colleagues in computational biology to recommend a solid textbook for a graduate course in the area. Tamar Schlick has written the book that I will be recommending to both groups. Tamar has done an amazing job in writing a book that is both suitably accessible for beginners, and suitably rigorous for experts.¿|¿J.J. Collins, Boston University

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Advanced Engineering Mathematics Using Matlab V. 4 (Bookware Companion Series)

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This book is very useful for students, scientists and researchers who work dealth with matlab program for their problems in calculations.

In recent year, there has been phenomenal growth in some methods for engineering calculation that use matlab. It's not difficult to study and very simple.

Advanced Engineering Mathematics Using Matlab V. 4 (Bookware Companion Series) Overview

Intended as a supplement for Advanced Engineering Mathematics and/or Engineering Problem Solving courses. This BookWare Companion book integrates analytical and computer solutions of problems that lead to understanding of advanced mathematical techniques with applications in engineering physics and mathematics

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