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检索条件"丛书名=The IMA Volumes in Mathematics and its Applications"

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Microlocal Analysis and Nonlinear Waves 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Michael Beals Richard B. Melrose Jeffrey Rauch

ISBN: (数字)9781461391364

ISBN: (纸本)9781461391388

This ima Volume in mathematics and its applications MICROLOCAL ANALYSIS AND NONLINEAR WAVES is based on the proceedings of a workshop which was an integral part of the 1988- 1989 ima program on "Nonlinear Waves". We thank Michael Beals, Richard Melrose and Jeffrey Rauch for organizing the meeting and editing this proceedings volume. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE Microlocal analysis is natural and very successful in the study of the propagation of linear hyperbolic waves. For example consider the initial value problem Pu = f E e'(RHd), supp f C {t ;::: O} u = 0 for t < o. If P( t, x, Dt,x) is a strictly hyperbolic operator or system then the singular support of f gives an upper bound for the singular support of u (Courant-Lax, Lax, Ludwig), namely singsupp u C the union of forward rays passing through the singular support of f.

关键词： Analysis

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Grid Generation and Adaptive Algorithms 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Marshall W. Bern Joseph E. Flaherty Mitchell Luskin

ISBN: (数字)9781461215561

ISBN: (纸本)9780387988580;9781461271918

This ima Volume in mathematics and its applications GRID GENERATION AND ADAPTIVE ALGORITHMS is based on the proceedings of a workshop with the same title. The work shop was an integral part of the 1996-97 ima program on "MATHEMAT ICS IN HIGH-PERFORMANCE COMPUTING. " I would like to thank Marshall Bern (Xerox, Palo Alto Research Cen ter), Joseph E. Flaherty (Department of Computer Science, Rensselaer Polytechnic Institute), and Mitchell Luskin (School of mathematics, Uni versity of Minnesota), for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr. , Professor and Director v PREFACE Scientific and engineering computation has become so complex that traditional numerical computation on uniform meshes is generally not pos sible or too expensive. Mesh generation must reflect both the domain geometry and the expected solution characteristics. Meshes should, fur thermore, be related to the solution through computable estimates of dis cretization errors. This, suggests an automatic and adaptive process where an initial mesh is enriched with the goal of computing a solution with prescribed accuracy specifications in an optimal manner. While automatic mesh generation procedures and adaptive strategies are becoming available, major computational challenges remain. Three-dimensional mesh genera tion is still far from automatic.

关键词： Combinatorics Algorithm Analysis and Problem Complexity

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Topology and Geometry in Polymer Science 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Stuart G. Whittington Witt Sumners Timothy Lodge

ISBN: (数字)9781461217121

ISBN: (纸本)9780387985800;9781461272526

This ima Volume in mathematics and its applications TOPOLOGY AND GEOMETRY IN POLYMER SCIENCE is based on the proceedings of a very successful one-week workshop with the same title. This workshop was an integral part of the 1995-1996 ima program on "Mathematical Methods in Materials Science." We would like to thank Stuart G. Whittington, De Witt Sumners, and Timothy Lodge for their excellent work as organizers of the meeting and for editing the proceedings. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE This book is the product of a workshop on Topology and Geometry of Polymers, held at the ima in June 1996. The workshop brought together topologists, combinatorialists, theoretical physicists and polymer scientists, who share an interest in characterizing and predicting the microscopic en tanglement properties of polymers, and their effect on macroscopic physical properties.

关键词： Geometry Topology Combinatorics

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Statistical Models in Epidemiology, the Environment, and Clinical Trials 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： M. Elizabeth Halloran Donald Berry

ISBN: (数字)9781461212843

ISBN: (纸本)9780387989242;9781461270782

This ima Volume in mathematics and its applications STATISTICAL MODELS IN EPIDEMIOLOGY, THE ENVIRONMENT,AND CLINICAL TRIALS is a combined proceedings on "Design and Analysis of Clinical Trials" and "Statistics and Epidemiology: Environment and Health. " This volume is the third series based on the proceedings of a very successful 1997 ima Summer Program on "Statistics in the Health Sciences. " I would like to thank the organizers: M. Elizabeth Halloran of Emory University (Biostatistics) and Donald A. Berry of Duke University (Insti tute of Statistics and Decision Sciences and Cancer Center Biostatistics) for their excellent work as organizers of the meeting and for editing the proceedings. I am grateful to Seymour Geisser of University of Minnesota (Statistics), Patricia Grambsch, University of Minnesota (Biostatistics); Joel Greenhouse, Carnegie Mellon University (Statistics); Nicholas Lange, Harvard Medical School (Brain imaging Center, McLean Hospital); Barry Margolin, University of North Carolina-Chapel Hill (Biostatistics); Sandy Weisberg, University of Minnesota (Statistics); Scott Zeger, Johns Hop kins University (Biostatistics); and Marvin Zelen, Harvard School of Public Health (Biostatistics) for organizing the six weeks summer program. I also take this opportunity to thank the National Science Foundation (NSF) and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr.

关键词： Epidemiology Biomedicine general Statistics for Life Sciences, Medicine, Health Sciences Analysis Physiological, Cellular and Medical Topics

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Particulate Flows 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Donald A. Drew Daniel D. Joseph Stephen L. Passman

ISBN: (数字)9781468471090

ISBN: (纸本)9781468471113

This ima Volume in mathematics and its applications PARTICULATE FLOWS: PROCESSING AND RHEOLOGY is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the 1995-1996 ima program on "Mathematical Methods in Materials Science." We would like to thank Donald A. Drew, Daniel D. Joseph, and Stephen L. Passman for their excellent work as organizers of the meeting. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE The workshop on Particulate Flows: Processing and Rheology was held January 8-12, 1996 at the Institute for mathematics and its applications on the University of Minnesota Twin Cities campus as part of the 1995- 96 Program on Mathematical Methods in Materials Science. There were about forty participants, and some lively discussions, in spite of the fact that bad weather on the east coast kept some participants from attending, and caused scheduling changes throughout the workshop. Heterogeneous materials can behave strangely, even in simple flow sit uations. For example, a mixture of solid particles in a liquid can exhibit behavior that seems solid-like or fluid-like, and attempting to measure the "viscosity" of such a mixture leads to contradictions and "unrepeatable" experiments. Even so, such materials are commonly used in manufacturing and processing.

关键词： applications of mathematics Fluid- and Aerodynamics

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mathematics in Industrial Problems 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Avner Friedman

ISBN: (数字)9781461573999

ISBN: (纸本)9781461574019

Building a bridge between mathematicians and industry is both a chal lenging task and a valuable goal for the Institute for mathematics and its applications (ima). The rationale for the existence of the ima is to en courage interaction between mathematicians and scientists who use math ematics. Some of this interaction should evolve around industrial problems which mathematicians may be able to solve in "real time." Both Industry and mathematics benefit: Industry, by increase of mathematical knowledge and ideas brought to bear upon their concerns, and mathematics, through the infusion of exciting new problems. In the past ten months I have visited numerous industries and national laboratories, and met with several hundred scientists to discuss mathe matical questions which arise in specific industrial problems. Many of the problems have special features which existing mathematical theories do not encompass; such problems may open new directions for research. However, I have encountered a substantial number of problems to which mathemati cians should be able to contribute by providing either rigorous proofs or formal arguments. The majority of scientists with whom I met were engineers, physicists, chemists, applied mathematicians and computer scientists. I have found them eager to share their problems with the mathematical community. Often their only recourse with a problem is to "put it on the computer." However, further insight could be gained by mathematical analysis.

关键词： Math. applications in Chemistry Computational Intelligence

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Numerical Algorithms for Modern Parallel Computer Architectures 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Martin Schultz

ISBN: (数字)9781468463576

ISBN: (纸本)9781468463590

Parallel computers have started to completely revolutionize scientific computation. Articles in this volume represent applied mathematics, computer science, and application aspects of parallel scientific computing. Major advances are discussed dealing with multiprocessor architectures, parallel algorithm development and analysis, parallel systems and programming languages. The optimization of the application of massively parallel architectures to real world problems will provide the impetus for the development of entirely new approaches to these technical situations.

关键词： Numerical Analysis

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Solitons in Physics, mathematics, and Nonlinear Optics 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Peter J. Olver David H. Sattinger

ISBN: (数字)9781461390336

ISBN: (纸本)9781461390350

This ima Volume in mathematics and its applications SOLITONS IN PHYSICS, mathematics, AND NONLINEAR OPTICS is based on the proceedings of two workshops which were an integral part of the 1988-89 ima program on NONLINEAR WAVES. The workshops focussed on the main parts of the theory of solitons and on the applications of solitons in physics, biology and engineering, with a special concentration on nonlinear optics. We thank the Coordinating Committee: James Glimm, Daniel Joseph, Barbara Keyfitz, An Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for drew planning and implementing the stimulating year-long program. We especially thank the Workshop Organizers for Solitons in Physics and mathematics, Alan Newell, Peter Olver, and David Sattinger, and for Nonlinear Optics and Plasma Physics, David Kaup and Yuji Kodama for their efforts in bringing together many of the major figures in those research fields in which solitons in physics, mathematics, and nonlinear optics theories are used. A vner Friedman Willard Miller, Jr. PREFACE This volume includes some of the lectures given at two workshops, "Solitons in Physics and mathematics" and "Solitons in Nonlinear Optics and Plasma Physics" held during the 1988-89 LM. A. year on Nonlinear Waves. Since their discovery by Kruskal and Zabusky in the early 1960's, solitons have had a profound impact on many fields, ranging from engineering and physics to algebraic geometry.

关键词： Optics, Lasers, Photonics, Optical Devices Quantum Optics Theoretical, Mathematical and Computational Physics

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Linear Algebra, Markov Chains, and Queueing Models 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Carl D. Meyer Robert J. Plemmons

ISBN: (数字)9781461383512

ISBN: (纸本)9781461383536

This ima Volume in mathematics and its applications LINEAR ALGEBRA, MARKOV CHAINS, AND QUEUEING MODELS is based on the proceedings of a workshop which was an integral part of the 1991-92 ima program on "Applied Linear Algebra". We thank Carl Meyer and R.J. Plemmons for editing the proceedings. We also take this opportunity to thank the National Science Founda tion, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. xi PREFACE This volume contains some of the lectures given at the workshop Lin ear Algebra, Markov Chains, and Queueing Models held January 13-17, 1992, as part of the Year of Applied Linear Algebra at the Institute for mathematics and its applications. Markov chains and queueing models play an increasingly important role in the understanding of complex systems such as computer, communi cation, and transportation systems. Linear algebra is an indispensable tool in such research, and this volume collects a selection of important papers in this area. The articles contained herein are representative of the underlying purpose of the workshop, which was to bring together practitioners and re searchers from the areas of linear algebra, numerical analysis, and queueing theory who share a common interest of analyzing and solving finite state Markov chains. The papers in this volume are grouped into three major categories-perturbation theory and error analysis, iterative methods, and applications regarding queueing models.

关键词： Linear and Multilinear Algebras, Matrix Theory

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Turbulence in Fluid Flows 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： George R. Sell Ciprian Foias Roger Temam

ISBN: (数字)9781461243465

ISBN: (纸本)9780387941134;9781461287438

The articles in this volume are based on recent research on the phenomenon of turbulence in fluid flows collected by the Institute for mathematics and its applications. This volume looks into the dynamical properties of the solutions of the Navier-Stokes equations, the equations of motion of incompressible, viscous fluid flows, in order to better understand this phenomenon. Although it is a basic issue of science, it has implications over a wide spectrum of modern technological applications. The articles offer a variety of approaches to the Navier-Stokes problems and related issues. This book should be of interest to both applied mathematicians and engineers.

关键词： Analysis

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