Majda, Andrew 1949
Overview
Works:  47 works in 238 publications in 1 language and 5,695 library holdings 

Genres:  Conference papers and proceedings Educational films Filmed lectures Nonfiction films 
Roles:  Author, Editor, Other 
Classifications:  QA3, 515.353 
Publication Timeline
.
Most widely held works by
Andrew Majda
Compressible fluid flow and systems of conservation laws in several space variables by
Andrew Majda(
Book
)
16 editions published between 1984 and 2006 in English and held by 408 WorldCat member libraries worldwide
Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for mphy t cal quantities, ul""'~ with u = (ul' ..., u) and u(x, t) defined m for x = (xl""'~) E RN (N = 1,2, or 3), t> 0 and with the values m u(x, t) lying in an open subset, G, of R, the state space. The state space G arises because physical quantities such as the density or total energy should always be positive; thus the values of u are often con strained to an open set G. 2) The flux functions appearing in these balance laws are idealized through prescribed nonlinear functions, F.(u), mapping G into J j = 1, .., N while source terms are defined by S(u, x, t) with S a given smooth function of these arguments with values in Rm. In parti lar, the detailed microscopic effects of diffusion and dissipation are ignored. 3) A generalized version of the principle of virtual work is applied (see Antman [1]). The formal result of applying the three steps (1)(3) is that the m physical quantities u define a weak solution of an m x m system of conservation laws, o I + N(Wt'u + r W ·F.(u) + W·S(u, x, t))dxdt (1.1) R xR j=l Xj J for all W E C~(RN x R+), W(x, t) E Rm
16 editions published between 1984 and 2006 in English and held by 408 WorldCat member libraries worldwide
Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for mphy t cal quantities, ul""'~ with u = (ul' ..., u) and u(x, t) defined m for x = (xl""'~) E RN (N = 1,2, or 3), t> 0 and with the values m u(x, t) lying in an open subset, G, of R, the state space. The state space G arises because physical quantities such as the density or total energy should always be positive; thus the values of u are often con strained to an open set G. 2) The flux functions appearing in these balance laws are idealized through prescribed nonlinear functions, F.(u), mapping G into J j = 1, .., N while source terms are defined by S(u, x, t) with S a given smooth function of these arguments with values in Rm. In parti lar, the detailed microscopic effects of diffusion and dissipation are ignored. 3) A generalized version of the principle of virtual work is applied (see Antman [1]). The formal result of applying the three steps (1)(3) is that the m physical quantities u define a weak solution of an m x m system of conservation laws, o I + N(Wt'u + r W ·F.(u) + W·S(u, x, t))dxdt (1.1) R xR j=l Xj J for all W E C~(RN x R+), W(x, t) E Rm
Vorticity and incompressible flow by
Andrew Majda(
Book
)
23 editions published between 2001 and 2007 in English and held by 328 WorldCat member libraries worldwide
This text is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to developing research topics
23 editions published between 2001 and 2007 in English and held by 328 WorldCat member libraries worldwide
This text is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to developing research topics
Introduction to PDEs and waves for the atmosphere and ocean by
Andrew Majda(
Book
)
10 editions published in 2003 in English and held by 260 WorldCat member libraries worldwide
10 editions published in 2003 in English and held by 260 WorldCat member libraries worldwide
Wave motion : theory, modelling, and computation : proceedings of a conference in honor of the 60th birthday of Peter D. Lax by
Alexandre Joel Chorin(
Book
)
17 editions published in 1987 in English and held by 259 WorldCat member libraries worldwide
The 60th birthday of Peter Lax was celebrated at Berkeley by a conference entitled Wave Motion: theory, application and computation held at the mathematical Sciences Research Institute, June 912, 1986. Peter Lax has made profound and essential contributions to the topics described by the title of the conference, and has also contributed in important ways to many other mathematical subjects, and as a result this conference volume dedicated to him includes research work on a variety of topics, not all clearly related to its title
17 editions published in 1987 in English and held by 259 WorldCat member libraries worldwide
The 60th birthday of Peter Lax was celebrated at Berkeley by a conference entitled Wave Motion: theory, application and computation held at the mathematical Sciences Research Institute, June 912, 1986. Peter Lax has made profound and essential contributions to the topics described by the title of the conference, and has also contributed in important ways to many other mathematical subjects, and as a result this conference volume dedicated to him includes research work on a variety of topics, not all clearly related to its title
The stability of multidimensional shock fronts by
Andrew Majda(
Book
)
11 editions published in 1983 in English and held by 228 WorldCat member libraries worldwide
11 editions published in 1983 in English and held by 228 WorldCat member libraries worldwide
The existence of multidimensional shock fronts by
Andrew Majda(
Book
)
11 editions published in 1983 in English and held by 225 WorldCat member libraries worldwide
11 editions published in 1983 in English and held by 225 WorldCat member libraries worldwide
Nonlinear dynamics and statistical theories for basic geophysical flows by
Andrew Majda(
Book
)
14 editions published between 2004 and 2015 in English and held by 225 WorldCat member libraries worldwide
Geophysical fluid dynamics illustrates the rich interplay between mathematical analysis, nonlinear dynamics, statistical theories, qualitative models and numerical simulations. This selfcontained introduction will suit a multidisciplinary audience ranging from beginning graduate students to senior researchers. It is the first book following this approach and contains many recent ideas and results
14 editions published between 2004 and 2015 in English and held by 225 WorldCat member libraries worldwide
Geophysical fluid dynamics illustrates the rich interplay between mathematical analysis, nonlinear dynamics, statistical theories, qualitative models and numerical simulations. This selfcontained introduction will suit a multidisciplinary audience ranging from beginning graduate students to senior researchers. It is the first book following this approach and contains many recent ideas and results
Computational fluid dynamics and reacting gas flows by
Björn Engquist(
Book
)
10 editions published in 1988 in English and held by 214 WorldCat member libraries worldwide
This volume contains papers presented at the workshop on Computational Fluid Dynamics and Reacting Gas Flows held at the Institute for Mathematics and Its Applications during September, 1986. Computational fluid dynamics has become a research area of central importance to mathematics, science, and technology. It is a subject which brings together applied mathematics and numerical analysis to solve problems in fluid dynamics. Included in this volume is the description of new algorithms which can make possible the discovery of important new scientific phenomena and the development of new technological processes. This volume will be of interest to mathematicians, scientists, and engineers who are interested in the current research of international leaders in numerical analysis and scientific computing
10 editions published in 1988 in English and held by 214 WorldCat member libraries worldwide
This volume contains papers presented at the workshop on Computational Fluid Dynamics and Reacting Gas Flows held at the Institute for Mathematics and Its Applications during September, 1986. Computational fluid dynamics has become a research area of central importance to mathematics, science, and technology. It is a subject which brings together applied mathematics and numerical analysis to solve problems in fluid dynamics. Included in this volume is the description of new algorithms which can make possible the discovery of important new scientific phenomena and the development of new technological processes. This volume will be of interest to mathematicians, scientists, and engineers who are interested in the current research of international leaders in numerical analysis and scientific computing
Multidimensional hyperbolic problems and computations by
James Glimm(
Book
)
12 editions published in 1991 in English and held by 197 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
12 editions published in 1991 in English and held by 197 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
Information theory and stochastics for multiscale nonlinear systems by
Andrew Majda(
Book
)
6 editions published in 2005 in English and held by 171 WorldCat member libraries worldwide
"This book introduces mathematicians to the emerging mathematical interplay between ideas from stochastics and information theory and important practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena."Jacket
6 editions published in 2005 in English and held by 171 WorldCat member libraries worldwide
"This book introduces mathematicians to the emerging mathematical interplay between ideas from stochastics and information theory and important practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena."Jacket
Filtering complex turbulent systems by
Andrew Majda(
Book
)
7 editions published in 2012 in English and held by 106 WorldCat member libraries worldwide
The authors develop a systematic applied mathematics perspective on the problems associated with filtering complex turbulent systems
7 editions published in 2012 in English and held by 106 WorldCat member libraries worldwide
The authors develop a systematic applied mathematics perspective on the problems associated with filtering complex turbulent systems
Selected papers by
Peter D Lax(
Book
)
18 editions published in 2005 in English and held by 30 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several important published works and has received numerous honours including the National Medal of Science, the Lester R. Ford Award, the Chauvenet Prize, the Semmelweis Medal, the Wiener Prize, and the Wolf Prize. Several students he has mentored have become leaders in their fields. These two volumes span the years from 1952 up until 1999, and cover many varying topics, from functional analysis, partial differential equations, and numerical methods to conservation laws, integrable systems and scattering theory. After each paper, or collection of papers, is a commentary placing the paper in context and where relevant discussing more recent developments. Many of the papers in these volumes have become classics and should be read by any serious student of these topics. In terms of insight, depth, and breadth, Lax has few equals. The reader of this selection will quickly appreciate his brilliance as well as his masterful touch. Having this collection of papers in one place allows one to follow the evolution of his ideas and mathematical interests and to appreciate how many of these papers initiated topics that developed lives of their own
18 editions published in 2005 in English and held by 30 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several important published works and has received numerous honours including the National Medal of Science, the Lester R. Ford Award, the Chauvenet Prize, the Semmelweis Medal, the Wiener Prize, and the Wolf Prize. Several students he has mentored have become leaders in their fields. These two volumes span the years from 1952 up until 1999, and cover many varying topics, from functional analysis, partial differential equations, and numerical methods to conservation laws, integrable systems and scattering theory. After each paper, or collection of papers, is a commentary placing the paper in context and where relevant discussing more recent developments. Many of the papers in these volumes have become classics and should be read by any serious student of these topics. In terms of insight, depth, and breadth, Lax has few equals. The reader of this selection will quickly appreciate his brilliance as well as his masterful touch. Having this collection of papers in one place allows one to follow the evolution of his ideas and mathematical interests and to appreciate how many of these papers initiated topics that developed lives of their own
Selected papers = Oeuvres scientifiques by
Peter D Lax(
Book
)
16 editions published in 2005 in English and held by 29 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, the author has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several published works and has received numerous honors
16 editions published in 2005 in English and held by 29 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, the author has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several published works and has received numerous honors
The interaction of nonlinear analysis and modern applied mathematics by
Andrew Majda(
Visual
)
4 editions published in 1990 in English and held by 13 WorldCat member libraries worldwide
4 editions published in 1990 in English and held by 13 WorldCat member libraries worldwide
Simplified models for turbulent diffusion : theory, numerical modelling, and physical phenomena by
Andrew Majda(
Book
)
5 editions published in 1999 in English and held by 13 WorldCat member libraries worldwide
5 editions published in 1999 in English and held by 13 WorldCat member libraries worldwide
Moisturegravity wave interactions in a multiscale environment by
Daniel Ruprecht(
Book
)
3 editions published in 2009 in English and held by 10 WorldCat member libraries worldwide
Abstract: "Starting from the conservation laws for mass, momentum and energy together with a three species, bulk microphysic model, a model for the interaction of internal gravity waves and deep convective hot towers is derived by using multiscale asymptotic techniques. From the resulting leading order equations, a closed model is obtained by applying weighted averages to the smallscale hot towers without requiring further closure approximations. The resulting model is an extension of the linear, anelastic equations, into which moisture enters as the area fraction of saturated regions on the microscale with two way coupling between the large and small scale. Moisture reduces the effective stability in the model and defines a potential temperature sourceterm related to the net effect of latent heat release or consumption by microscale up and downdrafts. The dispersion relation and group velocity of the system is analyzed and moisture is found to have several effects: It reduces energy transport by waves, increases the vertical wavenumber but decreases the slope at which wave packets travel and it introduces a lower horizontal cutoff wavenumber, below which modes turn into evanescent. Further, moisture can cause critical layers. Numerical examples for steadystate and timedependent mountain waves are shown and the effects of moisture on these waves are investigated."
3 editions published in 2009 in English and held by 10 WorldCat member libraries worldwide
Abstract: "Starting from the conservation laws for mass, momentum and energy together with a three species, bulk microphysic model, a model for the interaction of internal gravity waves and deep convective hot towers is derived by using multiscale asymptotic techniques. From the resulting leading order equations, a closed model is obtained by applying weighted averages to the smallscale hot towers without requiring further closure approximations. The resulting model is an extension of the linear, anelastic equations, into which moisture enters as the area fraction of saturated regions on the microscale with two way coupling between the large and small scale. Moisture reduces the effective stability in the model and defines a potential temperature sourceterm related to the net effect of latent heat release or consumption by microscale up and downdrafts. The dispersion relation and group velocity of the system is analyzed and moisture is found to have several effects: It reduces energy transport by waves, increases the vertical wavenumber but decreases the slope at which wave packets travel and it introduces a lower horizontal cutoff wavenumber, below which modes turn into evanescent. Further, moisture can cause critical layers. Numerical examples for steadystate and timedependent mountain waves are shown and the effects of moisture on these waves are investigated."
Interactions between large scale atmospheric flows and moist convection by Juliana Faus da Silva Dias(
)
1 edition published in 2010 in English and held by 8 WorldCat member libraries worldwide
Many atmospheric phenomena such as MaddenJulian Oscillation, Hadley cell, equatorially trapped waves, and storm tracks are manifestations of the interactions between atmospheric flows at multiple scales and convection. In this thesis, a combination of mathematical modeling, numerical simulations, and data analysis, is used to improve the understanding of the mechanisms of coupling between moist convection and atmospheric circulation. The feedback between convectively coupled Kelvin waves (CCKWs) and the Intertropical Convergence Zone (ITCZ) is first investigated using an idealized model for the tropical atmosphere. Modeled CCKWs are shown to develop a meridional circulation and their speed of propagation ranges from the dry gravity wave (about 50 ms 1), along a narrow ITCZ, to the moist gravity wave (about 15 ms 1), along a wide ITCZ. Statistical analysis of tropical data is then used to validate the theoretical predictions for the modulation of the speed of CCKWs by the geographic distribution of the ITCZ. In the final chapter, a modeling study is presented to investigate the coupling among earth's rotation, gravity waves, and moist convection, in the context of a geostrophic adjustment problem. This study shows that an initial imbalance in precipitation induces a circulation that further enhances precipitation; however, the behavior of the flow depends critically on the ratio between planetary rotation and convective adjustment time
1 edition published in 2010 in English and held by 8 WorldCat member libraries worldwide
Many atmospheric phenomena such as MaddenJulian Oscillation, Hadley cell, equatorially trapped waves, and storm tracks are manifestations of the interactions between atmospheric flows at multiple scales and convection. In this thesis, a combination of mathematical modeling, numerical simulations, and data analysis, is used to improve the understanding of the mechanisms of coupling between moist convection and atmospheric circulation. The feedback between convectively coupled Kelvin waves (CCKWs) and the Intertropical Convergence Zone (ITCZ) is first investigated using an idealized model for the tropical atmosphere. Modeled CCKWs are shown to develop a meridional circulation and their speed of propagation ranges from the dry gravity wave (about 50 ms 1), along a narrow ITCZ, to the moist gravity wave (about 15 ms 1), along a wide ITCZ. Statistical analysis of tropical data is then used to validate the theoretical predictions for the modulation of the speed of CCKWs by the geographic distribution of the ITCZ. In the final chapter, a modeling study is presented to investigate the coupling among earth's rotation, gravity waves, and moist convection, in the context of a geostrophic adjustment problem. This study shows that an initial imbalance in precipitation induces a circulation that further enhances precipitation; however, the behavior of the flow depends critically on the ratio between planetary rotation and convective adjustment time
Moisturegravity wave interactions in a multiscale environment(
)
1 edition published in 2009 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 7 WorldCat member libraries worldwide
Monotone difference approximations for scalar conservation laws by
Michael G Crandall(
Book
)
5 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
A complete selfcontained treatment of the stability and convergence properties of conservation form, monotone difference approximations to scalar conservation laws in several space variables is developed. In particular, the authors prove that general monotone difference schemes always converge and that they converge to the physical weak solution satisfying the entropy condition. Rigorous convergence results follow for dimensional splitting algorithms when each step is approximated by a monotone difference scheme. The results are general enough to include, for instance, Godunov's scheme, the upwind scheme (Differenced through stagnation points), and the LaxFriedrichs scheme together with appropriate multidimensional generalizations. (Author)
5 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
A complete selfcontained treatment of the stability and convergence properties of conservation form, monotone difference approximations to scalar conservation laws in several space variables is developed. In particular, the authors prove that general monotone difference schemes always converge and that they converge to the physical weak solution satisfying the entropy condition. Rigorous convergence results follow for dimensional splitting algorithms when each step is approximated by a monotone difference scheme. The results are general enough to include, for instance, Godunov's scheme, the upwind scheme (Differenced through stagnation points), and the LaxFriedrichs scheme together with appropriate multidimensional generalizations. (Author)
Selected Papers II by
Peter D Lax(
)
1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several important published works and has received numerous honours including the National Medal of Science, the Lester R. Ford Award, the Chauvenet Prize, the Semmelweis Medal, the Wiener Prize, and the Wolf Prize. Several students he has mentored have become leaders in their fields. These two volumes span the years from 1952 up until 1999, and cover many varyi
1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, Peter Lax has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several important published works and has received numerous honours including the National Medal of Science, the Lester R. Ford Award, the Chauvenet Prize, the Semmelweis Medal, the Wiener Prize, and the Wolf Prize. Several students he has mentored have become leaders in their fields. These two volumes span the years from 1952 up until 1999, and cover many varyi
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Related Identities
 Bertozzi, Andrea L.
 Sarnak, Peter Editor
 Lax, Peter D. Author
 Lax, Peter D. Honoree Author Dedicatee
 University of Minnesota Institute for Mathematics and Its Applications
 Wang, Xiaoming
 Chorin, Alexandre Joel Author Editor
 Engquist, Björn 1945 Other Author Editor
 Luskin, Mitchell Barry 1951 Other Editor
 Glimm, James Author Editor
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Associated Subjects
Algebraic topology AtmosphereMathematical models Combustion Compressibility Conservation laws (Mathematics) Conservation laws (Physics) Differentiable dynamical systems Differential equations, Hyperbolic Differential equations, HyperbolicNumerical solutions Differential equations, Nonlinear Differential equations, Partial Diffusion DynamicsMathematical models Filters (Mathematics) Fluid dynamics Fluid dynamicsMathematics Fluid mechanics Functional equations Functions of several complex variables Gas dynamics GeophysicsFluid models GeophysicsMathematical models Global analysis (Mathematics) Gravity waves Harmonic analysis Information theory in mathematics Lax, Peter D Mathematical analysis Mathematical physics Mathematicians Mathematics MathematicsStudy and teaching Nonlinear systems Nonlinear theories NonNewtonian fluids Numerical analysis OceanographyMathematical models Scalar field theory Shock waves Statistical mechanics Stochastic analysis Stratified flow Turbulence United States Variables (Mathematics) Vortexmotion VortexmotionMathematics Wave equationNumerical solutions Wavemotion, Theory of Waves
Alternative Names
Andrew Majda American mathematician
Andrew Majda Amerikaans wiskundige
Andrew Majda amerikansk matematikar
Andrew Majda amerikansk matematiker
Andrew Majda USamerikanischer Mathematiker
Majda, A. 1949
Majda, A. (Andrew), 1949
Majda, A. J.
Majda Andrew
Majda, Andrew J.
Majda, Andrew J. 1949
Majda, Andrew Joseph
Majda, Andrew Joseph 1949
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