Glimm, James
Overview
Works:  104 works in 321 publications in 5 languages and 4,982 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Director, Contributor 
Classifications:  QC174.45, 530.143 
Publication Timeline
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Most widely held works by
James Glimm
Quantum physics : a functional integral point of view by
James Glimm(
Book
)
36 editions published between 1981 and 1987 in 4 languages and held by 932 WorldCat member libraries worldwide
Describes fifteen years' work which has led to the construc tion of solutions to nonlinear relativistic local field e quations in 2 and 3 spacetime dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions
36 editions published between 1981 and 1987 in 4 languages and held by 932 WorldCat member libraries worldwide
Describes fifteen years' work which has led to the construc tion of solutions to nonlinear relativistic local field e quations in 2 and 3 spacetime dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions
The Legacy of John von Neumann by Summer Research Institute on the Legacy of John Von Neumann(
Book
)
18 editions published in 1990 in English and Multiple languages and held by 448 WorldCat member libraries worldwide
18 editions published in 1990 in English and Multiple languages and held by 448 WorldCat member libraries worldwide
Mathematical sciences, technology, and economic competitiveness by
James Glimm(
Book
)
14 editions published between 1991 and 1992 in English and held by 416 WorldCat member libraries worldwide
This book describes the contributions of mathematics to the nation's advanced technology and to economic competitiveness. Examples from five industriesaircraft, petroleum, automotive, semiconductor, and telecommunicationsillustrate how mathematics enters into and improves industry. Mathematical Sciences, Technology, and Economic Competitiveness addresses these hightechnology industries and breadth of mathematical endeavors in the United States as they materially contribute to the technology base from which innovation in these industries flows. The book represents a serious attempt by the mathematics community to bring about an awareness by policymakers of the pervasive influence of mathematics in everyday life
14 editions published between 1991 and 1992 in English and held by 416 WorldCat member libraries worldwide
This book describes the contributions of mathematics to the nation's advanced technology and to economic competitiveness. Examples from five industriesaircraft, petroleum, automotive, semiconductor, and telecommunicationsillustrate how mathematics enters into and improves industry. Mathematical Sciences, Technology, and Economic Competitiveness addresses these hightechnology industries and breadth of mathematical endeavors in the United States as they materially contribute to the technology base from which innovation in these industries flows. The book represents a serious attempt by the mathematics community to bring about an awareness by policymakers of the pervasive influence of mathematics in everyday life
Decay of solutions of systems of nonlinear hyperbolic conservation laws by
James Glimm(
Book
)
18 editions published in 1970 in 3 languages and held by 229 WorldCat member libraries worldwide
18 editions published in 1970 in 3 languages and held by 229 WorldCat member libraries worldwide
Multidimensional hyperbolic problems and computations by
James Glimm(
Book
)
16 editions published in 1991 in English and German and held by 216 WorldCat member libraries worldwide
This volume is the proceedings of a two week workshop on multidimensional hyperbolic problems held during April 1989. The twentysix papers in this volume emphasize the interdisciplinary nature of contemporary research in this field involving combinations of ideas from the theory of nonlinear partial differential equations, asymptotic methods, numerical computation and experiments. This volume includes several expository papers on asymptotic methods such as nonlinear geometric optics, a number of articles applying numerical algorithms such as higher order Godunov methods and front tracking to physical problems along with comparison to experimental data, and also several interesting papers on the rigorous mathematical theory of shock waves. In addition, there are two papers in the book devoted to open problems with this interdisciplinary emphasis. This book should be very interesting for any researcher pursuing modern developments in the theory and applications of hyperbolic conservation laws
16 editions published in 1991 in English and German and held by 216 WorldCat member libraries worldwide
This volume is the proceedings of a two week workshop on multidimensional hyperbolic problems held during April 1989. The twentysix papers in this volume emphasize the interdisciplinary nature of contemporary research in this field involving combinations of ideas from the theory of nonlinear partial differential equations, asymptotic methods, numerical computation and experiments. This volume includes several expository papers on asymptotic methods such as nonlinear geometric optics, a number of articles applying numerical algorithms such as higher order Godunov methods and front tracking to physical problems along with comparison to experimental data, and also several interesting papers on the rigorous mathematical theory of shock waves. In addition, there are two papers in the book devoted to open problems with this interdisciplinary emphasis. This book should be very interesting for any researcher pursuing modern developments in the theory and applications of hyperbolic conservation laws
Quantum field theory and statistical mechanics : expositions by
James Glimm(
Book
)
15 editions published in 1985 in English and German and held by 174 WorldCat member libraries worldwide
This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and YangMills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anticommute in the case of fer mions) at spacelike separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields
15 editions published in 1985 in English and German and held by 174 WorldCat member libraries worldwide
This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and YangMills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anticommute in the case of fer mions) at spacelike separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields
Lectures on harmonic analysis (nonAbelian) by
James Glimm(
Book
)
10 editions published in 1965 in 3 languages and held by 162 WorldCat member libraries worldwide
10 editions published in 1965 in 3 languages and held by 162 WorldCat member libraries worldwide
Lectures in modern analysis and applications II by
James Glimm(
Book
)
19 editions published between 1969 and 2008 in English and held by 141 WorldCat member libraries worldwide
19 editions published between 1969 and 2008 in English and held by 141 WorldCat member libraries worldwide
Collected papers by
James Glimm(
Book
)
16 editions published between 1984 and 1985 in English and Undetermined and held by 116 WorldCat member libraries worldwide
16 editions published between 1984 and 1985 in English and Undetermined and held by 116 WorldCat member libraries worldwide
Constructive quantum field theory : selected papers by
James Glimm(
Book
)
13 editions published in 1985 in 3 languages and held by 98 WorldCat member libraries worldwide
13 editions published in 1985 in 3 languages and held by 98 WorldCat member libraries worldwide
Proceedings of the Fifth International Conference on Hyperbolic Problems : theory, numerics, applications : University at
Stony Brook, New York, USA, 1317, June 1994 by International Conference on Hyperbolic Problems(
Book
)
6 editions published in 1996 in English and held by 70 WorldCat member libraries worldwide
6 editions published in 1996 in English and held by 70 WorldCat member libraries worldwide
Proceedings of the Fifth International Workshop on Compressible Turbulent Mixing : University at Stony Brook, New York, USA,
1821 July 1995 by International Workshop on Compressible Turbulent Mixing(
Book
)
6 editions published between 1995 and 1996 in English and held by 52 WorldCat member libraries worldwide
6 editions published between 1995 and 1996 in English and held by 52 WorldCat member libraries worldwide
Probability applied to physics by
James Glimm(
Book
)
3 editions published in 1978 in English and held by 41 WorldCat member libraries worldwide
3 editions published in 1978 in English and held by 41 WorldCat member libraries worldwide
Lectures on harmonic analysis (nonAbelian) 1965 by
James Glimm(
Book
)
2 editions published in 1965 in English and held by 40 WorldCat member libraries worldwide
2 editions published in 1965 in English and held by 40 WorldCat member libraries worldwide
The Schrödinger equation for quantum fields with nonlinear nonlocal scattering by
James Glimm(
Book
)
7 editions published in 1966 in English and Danish and held by 39 WorldCat member libraries worldwide
7 editions published in 1966 in English and Danish and held by 39 WorldCat member libraries worldwide
Collected papers by
James Glimm(
Book
)
7 editions published in 1985 in 3 languages and held by 21 WorldCat member libraries worldwide
7 editions published in 1985 in 3 languages and held by 21 WorldCat member libraries worldwide
The mathematical and computational sciences in emerging manufacturing technologies and management practices by
Avner Friedman(
Book
)
3 editions published in 1992 in English and held by 17 WorldCat member libraries worldwide
3 editions published in 1992 in English and held by 17 WorldCat member libraries worldwide
Decay of solutions of systems of hyperbolic conservation laws by
James Glimm(
Book
)
3 editions published in 1969 in English and held by 9 WorldCat member libraries worldwide
3 editions published in 1969 in English and held by 9 WorldCat member libraries worldwide
Decay of solutions of systems of non linear hyperbolic conservation laws. J. Glimm et al by
James Glimm(
Book
)
in English and held by 7 WorldCat member libraries worldwide
in English and held by 7 WorldCat member libraries worldwide
Computational techniques for shock wave diffraction problems by
James Glimm(
Book
)
4 editions published between 1986 and 1988 in English and held by 6 WorldCat member libraries worldwide
This document discusses results concerning mathematical theory, computational methods, and statistical modeling of chaotic mixing processes. In mathematical theory, the authors have proposed a new paradigm from uniqueness and regularization of discontinuous solutions of hyperbolic conservation laws. Contrary to common opinion, there is no requirement from physics for uniqueness of solutions for these systems. Nonuniqueness, if it occurs, must be resolved as in bifurcation theory by an unfolding of critical bifurcation parameters. Similarly regularization does not have to be accomplished by higher order terms in an equation, but may be based on enlarging the system. Many common mathematically based entropy conditions have been shown to be inadequate in specific examples. Work is in progress on two dimensional nonlinear wave interactions, from a theoretical point of view. Computationally, several difficult phenomena were encountered in the study of shock waves interacting with a liquidgas interface. Chaotic mixing due to a RayleighTaylor or RichtmyerMeshkov unstable interface has been studied. Front tracking has provided a unique computational tool, and has produced a unique data set of computational results which are presently being analyzed. High quality models for singlemode growth in the large amplitude regime have been proposed, and validated. (KR)
4 editions published between 1986 and 1988 in English and held by 6 WorldCat member libraries worldwide
This document discusses results concerning mathematical theory, computational methods, and statistical modeling of chaotic mixing processes. In mathematical theory, the authors have proposed a new paradigm from uniqueness and regularization of discontinuous solutions of hyperbolic conservation laws. Contrary to common opinion, there is no requirement from physics for uniqueness of solutions for these systems. Nonuniqueness, if it occurs, must be resolved as in bifurcation theory by an unfolding of critical bifurcation parameters. Similarly regularization does not have to be accomplished by higher order terms in an equation, but may be based on enlarging the system. Many common mathematically based entropy conditions have been shown to be inadequate in specific examples. Work is in progress on two dimensional nonlinear wave interactions, from a theoretical point of view. Computationally, several difficult phenomena were encountered in the study of shock waves interacting with a liquidgas interface. Chaotic mixing due to a RayleighTaylor or RichtmyerMeshkov unstable interface has been studied. Front tracking has provided a unique computational tool, and has produced a unique data set of computational results which are presently being analyzed. High quality models for singlemode growth in the large amplitude regime have been proposed, and validated. (KR)
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Related Identities
 Griffiths, Phillip 1938
 National Research Council (U.S.). Board on Mathematical Sciences Other
 National Research Council (U.S.). Commission on Physical Sciences, Mathematics, and Applications Other
 Jaffe, Arthur 1937 Author
 Singer, I. M. (Isadore Manuel) 1924 Other Editor
 Impagliazzo, John Other Editor
 American Mathematical Society
 Von Neumann, John 19031957 Other
 Lax, Peter D.
 Majda, Andrew 1949 Editor
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Associated Subjects
Competition, International Compressibility Critical phenomena (Physics) Differential equations, Hyperbolic Differential equations, Nonlinear Differential equations, Partial Engineering mathematics Field theory (Physics) Fluid mechanics Functional analysis Functions Global analysis (Mathematics) Group theory Harmonic analysis Hyperbola Industrial management Lie algebras Lie groups Manufacturing processesData processing Mathematical analysis Mathematical physics Mathematics MathematicsResearch MathematicsStudy and teaching Mixing Numerical analysis Phase transformations (Statistical physics) Physics Probabilities Production controlMathematical models Production management Quantum field theory Quantum theory Statistical mechanics Statistical physics Technology transfer Turbulence Von Neumann, John, Wavemotion, Theory of
Alternative Names
Glimm, D. 1934
Glimm, Dž.
Glimm, J.
Glimm, J. (James)
Glimm, James
Glimm, James G. 1934
Glimm, James Gilbert 1934
James Glimm Amerikaans wiskundige
James Glimm amerikansk fysiker och matematiker
James Glimm amerikansk fysiker og matematiker
James Glimm matemático estadounidense
James Glimm matematico statunitense
James Glimm mathématicien américain
James Glimm USamerikanischer mathematischer Physiker
Джеймс Глимм французский математик
جيمس غليم
جيمس غليم رياضياتي أمريكي
ジェームズ・グリム
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