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

共 141 条记录，以下是51-60 订阅

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Dispersive Transport Equations and Multiscale Models 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Naoufel Ben Abdallah Pierre Degond Anton Arnold Irene M. Gamba Robert T. Glassey C. David Levermore Christian Ringhofer

ISBN: (数字)9781441989352

ISBN: (纸本)9780387404967;9781461264736

focus on the modeling of processes for which transport is one of the most complicated components. This includes processes that involve a wdie range of length scales over different spatio-temporal regions of the problem, ranging from the order of mean-free paths to many times this scale. Consequently, effective modeling techniques require different transport models in each region. The first issue is that of finding efficient simulations techniques, since a fully resolved kinetic simulation is often impractical. One therefore develops homogenization, stochastic, or moment based subgrid models. Another issue is to quantify the discrepancy between macroscopic models and the underlying kinetic description, especially when dispersive effects become macroscopic, for example due to quantum effects in semiconductors and superfluids. These two volumes address these questions in relation to a wide variety of application areas, such as semiconductors, plasmas, fluids, chemically reactive gases, etc.

关键词： applications of mathematics Optical and Electronic Materials Partial Differential Equations Classical and Continuum Physics Condensed Matter Physics Quantum Optics

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Pattern Formation in Continuous and Coupled Systems 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Martin Golubitsky Dan Luss Steven H. Strogatz

ISBN: (数字)9781461215585

ISBN: (纸本)9780387988740;9781461271925

This ima Volume in mathematics and its applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be yond the proceedings by presenting a series of mini-review articles that sur vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 ima program on "EMERG ING applications OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan ics) for their excellent work as organizers of the meeting and for editing the proceedings. 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., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the ima workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature.

关键词： Analysis

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mathematics of Multiscale Materials 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Kenneth M. Golden Graeme W. Milton Geoffrey R. Grimmett Richard D. James Pabitra N. Sen

ISBN: (数字)9781461217282

ISBN: (纸本)9780387985282;9781461272564

Polycrystalline metals, porous rocks, colloidal suspensions, epitaxial thin films, gels, foams, granular aggregates, sea ice, shape-memory metals, magnetic materials, and electro-rheological fluids are all examples of materials where an understanding of the mathematics on the different length scales is a key to interpreting their physical behavior. In their analysis of these media, scientists coming from a number of disciplines have encountered similar mathematical problems, yet it is rare for researchers in the various fields to meet. The 1995-1996 program at the Institute for mathematics and its applications was devoted to Mathematical Methods in Material Science, and was attended by materials scientists, physicists, geologists, chemists engineers, and mathematicians. The present volume contains chapters which have emerged from four of the workshops held during the year, focusing on the following areas: Disordered Materials; Interfaces and Thin Films; Mechanical Response of Materials from Angstroms to Meters; and Phase Transformation, Composite Materials and Microstructure. The scales treated in these workshops ranged from the atomic to the microstructural to the macroscopic, the microstructures from ordered to random, and the treatments from "purely" theoretical to the highly applied. Taken together, these works form a compelling and broad account of many aspects of the science of multiscale materials, and will hopefully inspire research across the self-imposed barriers of twentieth century science.

关键词： Computational Intelligence Math. applications in Chemistry Statistics, general

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Multiparticle Quantum Scattering With applications to Nuclear, Atomic and Molecular Physics 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Donald G. Truhlar Barry Simon

ISBN: (数字)9781461218708

ISBN: (纸本)9780387949994;9781461273189

This ima Volume in mathematics and its applications MULTIPARTICLE QUANTUM SCATTERING WITH applications TO NUCLEAR, ATOMIC AND MOLECULAR PHYSICS is based on the proceedings of a workshop with the same title, which was an integral part of the 1994-1995 ima program on "Waves and Scattering." We would like to thank Donald G. Truhlar and Barry Simon for their ex cellent work as organizers of this meeting and as editors of the proceedings. We also take this opportunity to thank the National Science Foundation (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 Multiparticle Quantum Scattering with applications to Nuclear, Atomic, and Molecular Physics was held June 12-16, 1995 at the Institute for mathematics and its applications in the University of Min nesota Twin Cities campus as part of the 1994-95 Program on Waves and Scattering. There were about seventy participants including the plenary lecturers whose contributions are included in this volume. The workshop was preceded by a two-day tutorial featuring lectures by Donald J. Kouri and Gian Michele Graf, and we are pleased that both Professors Graf and Kouri were able to write up their tutorials as opening chapters of this volume.

关键词： applications of mathematics Elementary Particles, Quantum Field Theory Atomic, Molecular, Optical and Plasma Physics Computational mathematics and Numerical Analysis Math. applications in Chemistry Mathematical Methods in Physics

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A³N²M: Approximation, applications, and Analysis of Nonlocal, Nonlinear Models 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Tadele Mengesha Abner J. Salgado

ISBN: (数字)9783031340895

ISBN: (纸本)9783031340888;9783031340918

This volume collects papers based on plenary and invited talks given at the 50th Barrett Memorial Lectures on Approximation, applications, and Analysis of Nonlocal, Nonlinear Models that was organized by the University of Tennessee, Knoxville and held virtually in May 2021. The three-day meeting brought together experts from the computational, scientific, engineering, and mathematical communities who work with nonlocal models. These proceedings collect contributions and give a survey of the state of the art in computational practices, mathematical analysis, applications of nonlocal models, and explorations of new application domains. The volume benefits from the mixture of contributions by computational scientists, mathematicians, and application specialists. The content is suitable for graduate students as well as specialists working with nonlocal models and covers topics on fractional PDEs, regularity theory for kinetic equations, approximation theory for fractional diffusion, analysis of nonlocal diffusion model as a bridge between local and fractional PDEs, and more.

关键词： Numerical Analysis Analysis Mathematical Modeling and Industrial mathematics

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Semiconductors 1

引用

丛书名： the ima volumes in mathematics and its applications

1000年

作者： W. M. Coughran Julian Cole Peter Lloyd Jacob K. White

ISBN: (数字)9781461384106

ISBN: (纸本)9781461384120

This ima Volume in mathematics and its applications SEMICONDUCTORS, PART II is based on the proceedings of the ima summer program "Semiconductors." Our goal was to foster interaction in this interdisciplinary field which involves electrical engineers, computer scientists, semiconductor physicists and mathematicians, from both university and industry. In particular, the program was meant to encourage the participation of numerical and mathematical analysts with backgrounds in ordinary and partial differential equations, to help get them involved in the mathematical as pects of semiconductor models and circuits. We are grateful to W.M. Coughran, Jr., Julian Cole, Peter Lloyd, and Jacob White for helping Farouk Odeh organize this activity and trust that the proceedings will provide a fitting memorial to Farouk. We also take this opportunity to thank those agencies whose financial support made the program possible: the Air Force Office of Scientific Research, the Army Research Office, the National Science Foundation, and the Office of Naval Research. A vner Friedman Willard Miller, J r. Preface to Part II Semiconductor and integrated-circuit modeling are an important part of the high technology "chip" industry, whose high-performance, low-cost microprocessors and high-density memory designs form the basis for supercomputers, engineering work stations, laptop computers, and other modern information appliances. There are a variety of differential equation problems that must be solved to facilitate such mod eling.

关键词： mathematics, general

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Control and Optimal Design of Distributed Parameter Systems 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： John E. Lagnese David L. Russell Luther W. White

ISBN: (数字)9781461384601

ISBN: (纸本)9781461384625

The articles in this volume focus on control theory of systems governed by nonlinear linear partial differential equations, identification and optimal design of such systems, and modelling of advanced materials. Optimal design of systems governed by PDEs is a relatively new area of study, now particularly relevant because of interest in optimization of fluid flow in domains of variable configuration, advanced and composite materials studies and "smart" materials which include possibilities for built in sensing and control actuation. The book will be of interest to both applied mathematicians and to engineers.

关键词： Systems Theory, Control Calculus of Variations and Optimal Control Optimization

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Mathematical Modeling for Women’s Health 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Ashlee N. Ford Versypt Rebecca A. Segal Suzanne S. Sindi

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Two Phase Flows and Waves 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Daniel D. Joseph David G. Schaeffer

ISBN: (数字)9781461390220

ISBN: (纸本)9781461390244

This ima Volume in mathematics and its applications TWO PHASE FLOWS AND WAVES is based on the proceedings of a workshop which was an integral part of the 1988-89 ima program on NONLINEAR WAVES. The workshop focussed on the development of waves in flowing composites. We thank the Coordinating Commit tee: James Glimm, Daniel Joseph, Barbara Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing the stimulating year-long program. We especially thank the Workshop Organizers, Daniel D. Joseph and David G. Schaeffer for their efforts in bringing together many of the major figures in those research fields in which modelling of granular flows and suspensions is used. Avner Friedman Willard Miller, Jr. PREFACE This Workshop, held from January 3-10,1989 at ima, focused on the properties of materials which consist of many small solid particles or grains. Let us distinguish the terms granular material and suspension. In the former, the material consists exclusively of solid particles interacting through direct contact with one another, either sustained frictional contacts in the case of slow shearing or collisions in the case of rapid shearing. In suspensions, also called two phase flow, the grains interact with one another primarily through the influence of a viscous fluid which occupies the interstitial space and participates in the flow. (As shown by the lecture of I. Vardoulakis (not included in this volume), the distinction between these two idealized cases is not always clear.

关键词： Analysis Fluid- and Aerodynamics Theoretical, Mathematical and Computational Physics

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New Directions in Time Series Analysis 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： David Brillinger Peter Caines John Geweke Emanuel Parzen Murray Rosenblatt Murad S. Taqqu

ISBN: (数字)9781461392965

ISBN: (纸本)9781461392989

This ima Volume in mathematics and its applications NEW DIRECTIONS IN TIME SERIES ANALYSIS, PART II is based on the proceedings of the ima summer program "New Directions in Time Series Analysis. " We are grateful to David Brillinger, Peter Caines, John Geweke, Emanuel Parzen, Murray Rosenblatt, and Murad Taqqu for organizing the program and we hope that the remarkable excitement and enthusiasm of the participants in this interdisciplinary effort are communicated to the reader. A vner Friedman Willard Miller, Jr. PREFACE Time Series Analysis is truly an interdisciplinary field because development of its theory and methods requires interaction between the diverse disciplines in which it is applied. To harness its great potential, strong interaction must be encouraged among the diverse community of statisticians and other scientists whose research involves the analysis of time series data. This was the goal of the ima Workshop on "New Directions in Time Series Analysis. " The workshop was held July 2-July 27, 1990 and was organized by a committee consisting of Emanuel Parzen (chair), David Brillinger, Murray Rosenblatt, Murad S. Taqqu, John Geweke, and Peter Caines. Constant guidance and encouragement was provided by Avner Friedman, Director of the ima, and his very helpful and efficient staff. The workshops were organized by weeks. It may be of interest to record the themes that were announced in the ima newsletter describing the workshop: l.

关键词： Analysis

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