Morawetz, Cathleen S.
Overview
Works:  44 works in 90 publications in 3 languages and 932 library holdings 

Genres:  Biography History 
Roles:  Author, Editor 
Classifications:  QA377, 515.353 
Publication Timeline
.
Most widely held works by
Cathleen S Morawetz
Notes on time decay and scattering for some hyperbolic problems by
Cathleen S Morawetz(
Book
)
17 editions published between 1975 and 1985 in English and held by 310 WorldCat member libraries worldwide
Solutions of the wave equation or Maxwell's equations in boundary value and free space problems are analyzed. Hyperbolic systems in domains going off to infinity are studied. New results on Maxwell's equations and nonstar shaped reflecting bodies are included
17 editions published between 1975 and 1985 in English and held by 310 WorldCat member libraries worldwide
Solutions of the wave equation or Maxwell's equations in boundary value and free space problems are analyzed. Hyperbolic systems in domains going off to infinity are studied. New results on Maxwell's equations and nonstar shaped reflecting bodies are included
Lectures on nonlinear waves and shocks by
Cathleen S Morawetz(
Book
)
13 editions published in 1981 in English and German and held by 175 WorldCat member libraries worldwide
13 editions published in 1981 in English and German and held by 175 WorldCat member libraries worldwide
Selecta by
K. O Friedrichs(
Book
)
6 editions published in 1986 in 3 languages and held by 145 WorldCat member libraries worldwide
6 editions published in 1986 in 3 languages and held by 145 WorldCat member libraries worldwide
Selected works of Eberhard Hopf : with commentaries by
Eberhard Hopf(
Book
)
5 editions published in 2002 in English and held by 138 WorldCat member libraries worldwide
5 editions published in 2002 in English and held by 138 WorldCat member libraries worldwide
The last 75 years giants of mathematics by
Cathleen S Morawetz(
Visual
)
4 editions published between 1991 and 1996 in English and held by 24 WorldCat member libraries worldwide
The talk focuses on four major leaders in applied mathematics: G.I. Taylor, T.V. Karman, von Neumann and Wiener. Their backgrounds and some new stories are given
4 editions published between 1991 and 1996 in English and held by 24 WorldCat member libraries worldwide
The talk focuses on four major leaders in applied mathematics: G.I. Taylor, T.V. Karman, von Neumann and Wiener. Their backgrounds and some new stories are given
Selecta Vol. 1 by
K. O Friedrichs(
Book
)
2 editions published in 1986 in German and English and held by 16 WorldCat member libraries worldwide
2 editions published in 1986 in German and English and held by 16 WorldCat member libraries worldwide
Transonic flow and mixed equations by
Cathleen S Morawetz(
Visual
)
2 editions published in 1989 in English and held by 15 WorldCat member libraries worldwide
With a short review of mixed equations and a discussion of compressible flow, Morawitz illustrates the phenomenon of shocks in transonic flow and describes computations made in 1970s showing that these shocks could be smoothed by clever design
2 editions published in 1989 in English and held by 15 WorldCat member libraries worldwide
With a short review of mixed equations and a discussion of compressible flow, Morawitz illustrates the phenomenon of shocks in transonic flow and describes computations made in 1970s showing that these shocks could be smoothed by clever design
Selecta by
K. O Friedrichs(
Book
)
2 editions published in 1986 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 9 WorldCat member libraries worldwide
Selecta : volume 2 by
K. O Friedrichs(
Book
)
1 edition published in 1986 in German and held by 8 WorldCat member libraries worldwide
1 edition published in 1986 in German and held by 8 WorldCat member libraries worldwide
Hyperbolic partial differential equations by
Peter D Lax(
Book
)
1 edition published in 2006 in English and held by 6 WorldCat member libraries worldwide
The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a secondyear graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves. The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the LaxPhillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today. Four brief appendices sketch topics that are important or amusing, such as Huygens' principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses.  Back cover
1 edition published in 2006 in English and held by 6 WorldCat member libraries worldwide
The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a secondyear graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of solutions of equations with constant coefficients is explored with the help of the Fourier and Radon transforms. The existence of solutions of equations with variable coefficients with prescribed initial values is proved using energy inequalities. The propagation of singularities is studied with the help of progressing waves. The second part describes finite difference approximations of hyperbolic equations, presents a streamlined version of the LaxPhillips scattering theory, and covers basic concepts and results for hyperbolic systems of conservation laws, an active research area today. Four brief appendices sketch topics that are important or amusing, such as Huygens' principle and a theory of mixed initial and boundary value problems. A fifth appendix by Cathleen Morawetz describes a nonstandard energy identity and its uses.  Back cover
Lectures on nonlinear waves and shocks : lectures delivered at the Indian Institute of Science, Bangalore under the T.I.F.R.
 I.I.S.C. Programme in Applications of Mathematics by
Cathleen S Morawetz(
Book
)
2 editions published in 1981 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 4 WorldCat member libraries worldwide
Kurt Otto Friedrichs selecta(
Book
)
1 edition published in 1986 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 4 WorldCat member libraries worldwide
Notes on time decay and scattering for some hyperbolic problems : lectures given at the regional conference on exterior initial
boundary value problems for hyperbolic differential equations, Buffalo  N.Y., June 37, 1973(
Book
)
2 editions published in 1975 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1975 in English and held by 3 WorldCat member libraries worldwide
Collisionless shocks and solitary waves by
Cathleen S Morawetz(
Book
)
1 edition published in 1964 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1964 in English and held by 3 WorldCat member libraries worldwide
Energy identities for the wave equation by
Cathleen S Morawetz(
Book
)
1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
Novel schemes for sigmadelta modulation: From improved exponential accuracy to lowcomplexity design by Felix Krahmer(
Book
)
2 editions published in 2009 in English and held by 2 WorldCat member libraries worldwide
It is known that exponential accuracy with an error decay rate O(2 rlambda) for some rate constant r > 0 is achievable via SigmaDelta modulation with modulators of increasing order. In this thesis, we first construct a family of schemes which gives a better rate constant r than is known for oversampled onebit quantization. The construction builds on an idea by Gunturk and proceeds by solving an optimization problem posed in his work. En route, the solution establishes a connection between SigmaDelta modulation and the theory of orthogonal polynomials
2 editions published in 2009 in English and held by 2 WorldCat member libraries worldwide
It is known that exponential accuracy with an error decay rate O(2 rlambda) for some rate constant r > 0 is achievable via SigmaDelta modulation with modulators of increasing order. In this thesis, we first construct a family of schemes which gives a better rate constant r than is known for oversampled onebit quantization. The construction builds on an idea by Gunturk and proceeds by solving an optimization problem posed in his work. En route, the solution establishes a connection between SigmaDelta modulation and the theory of orthogonal polynomials
Selecta. Ill., graph. Darst. by
K. O Friedrichs(
Book
)
1 edition published in 1986 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1986 in Undetermined and held by 1 WorldCat member library worldwide
Selecta by
K. O Friedrichs(
Book
)
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
PERTURBATIONS ABOUT STRONG SPHERICAL SHOCK WAVES(
)
1 edition published in 1953 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1953 in English and held by 0 WorldCat member libraries worldwide
Communications on pure and applied mathematics(
)
1 edition published in 1956 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1956 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Friedrichs, K. O. (Kurt Otto) 19011983 Author
 Datti, P. S. Author of introduction Editor
 Hopf, Eberhard 1902 Author
 Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich) 1935 Editor
 Serrin, J. (James) 19262012 Editor
 Society for Industrial and Applied Mathematics Publisher
 American Mathematical Society
 Mathematical Association of America
 Wiener, Norbert 18941964
 Taylor, Geoffrey Ingram 18861975
Useful Links
Associated Subjects
Aerodynamics, Transonic Avery, Mary Ellen, Differential equations, Elliptic Differential equations, Hyperbolic Differential equations, Partial Ergodic theory Fluid dynamics Friedrichs, K. O.(Kurt Otto), Gaillard, Mary K Gas dynamics Germany Klinman, Judith P Koshland, Marian Elliott Magnetohydrodynamics Mathematical analysis Mathematicians Mathematics Matson, P. A.(Pamela A.) Morawetz, Cathleen S Nonlinear theories Pardue, Mary Lou Scattering (Mathematics) Sex discrimination in higher education Sex discrimination in science Shock (Mechanics) Shock waves Singer, Maxine Spectral theory (Mathematics) Steitz, Joan A Taylor, Geoffrey Ingram, United States Von Kármán, Theodore, Von Neumann, John, Wasserman, Elga Wave equation Wiener, Norbert, Women biologists Women scientists
Alternative Names
Cathleen Synge Morawetz amerikansk matematikar
Cathleen Synge Morawetz amerikansk matematiker
Cathleen Synge Morawetz matematica canadese
Cathleen Synge Morawetz USamerikanische Mathematikerin
Morawetz, Cathleen 1923
Morawetz, Cathleen Synge 1923...
Synge Morawetz, Cathleen 1923
کاتلی سینگ موراوتز ریاضیدان آمریکایی
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