Greenspan, Donald
Overview
Works:  159 works in 421 publications in 2 languages and 11,073 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA297, 515.625 
Publication Timeline
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Most widely held works about
Donald Greenspan
 Greenspan, Donald : mathematics( )
 Greenspan : [photography bio file] by Donald Greenspan( )
Most widely held works by
Donald Greenspan
Discrete numerical methods in physics and engineering by
Donald Greenspan(
)
21 editions published between 1973 and 2014 in English and held by 1,998 WorldCat member libraries worldwide
Discrete numerical methods in physics and engineering
21 editions published between 1973 and 2014 in English and held by 1,998 WorldCat member libraries worldwide
Discrete numerical methods in physics and engineering
Molecular and particle modelling of laminar and turbulent flows by
Donald Greenspan(
)
16 editions published in 2005 in English and held by 1,984 WorldCat member libraries worldwide
Turbulence is the most fundamental and, simultaneously, the mostcomplex form of fluid flow. However, because an understanding ofturbulence requires an understanding of laminar flow, both areexplored in this book. Groundwork is laid by careful delineation of the necessary physical, mathematical, and numerical requirements for the studies which follow, and include discussions of Nbody problems, classical molecularmechanics, dynamical equations, and the leap frog formulas for verylarge systems of second order ordinary differential equations
16 editions published in 2005 in English and held by 1,984 WorldCat member libraries worldwide
Turbulence is the most fundamental and, simultaneously, the mostcomplex form of fluid flow. However, because an understanding ofturbulence requires an understanding of laminar flow, both areexplored in this book. Groundwork is laid by careful delineation of the necessary physical, mathematical, and numerical requirements for the studies which follow, and include discussions of Nbody problems, classical molecularmechanics, dynamical equations, and the leap frog formulas for verylarge systems of second order ordinary differential equations
Nbody problems and models by
Donald Greenspan(
)
18 editions published in 2004 in English and held by 1,762 WorldCat member libraries worldwide
The study and application of Nbody problems has had an important role in the history of mathematics. In recent years, the availability of modern computer technology has added to their significance, since computers can now be used to model material bodies as atomic and molecular configurations, i.e. as Nbody configurations. Methodology, intuition, and applications are interwoven throughout this book. Nonlinearity and determinism are emphasized. The book can be used on any level provided that the reader has at least some ability with numerical methodology, computer programming, and basic physics. Some unique features of the book include: (1) development of turbulent flow which is consistent with experimentation, unlike any continuum model; (2) applicability to rotating tops with nonuniform density; (3) conservative methodology which conserves the same energy and momentum as continuous systems
18 editions published in 2004 in English and held by 1,762 WorldCat member libraries worldwide
The study and application of Nbody problems has had an important role in the history of mathematics. In recent years, the availability of modern computer technology has added to their significance, since computers can now be used to model material bodies as atomic and molecular configurations, i.e. as Nbody configurations. Methodology, intuition, and applications are interwoven throughout this book. Nonlinearity and determinism are emphasized. The book can be used on any level provided that the reader has at least some ability with numerical methodology, computer programming, and basic physics. Some unique features of the book include: (1) development of turbulent flow which is consistent with experimentation, unlike any continuum model; (2) applicability to rotating tops with nonuniform density; (3) conservative methodology which conserves the same energy and momentum as continuous systems
Introductory numerical analysis of elliptic boundary value problems by
Donald Greenspan(
Book
)
24 editions published between 1965 and 1969 in English and held by 573 WorldCat member libraries worldwide
24 editions published between 1965 and 1969 in English and held by 573 WorldCat member libraries worldwide
Arithmetic applied mathematics by
Donald Greenspan(
Book
)
13 editions published in 1980 in 3 languages and held by 532 WorldCat member libraries worldwide
13 editions published in 1980 in 3 languages and held by 532 WorldCat member libraries worldwide
Discrete models by
Donald Greenspan(
Book
)
16 editions published in 1973 in English and Undetermined and held by 491 WorldCat member libraries worldwide
16 editions published in 1973 in English and Undetermined and held by 491 WorldCat member libraries worldwide
Theory and solution of ordinary differential equations by
Donald Greenspan(
Book
)
12 editions published in 1960 in English and held by 475 WorldCat member libraries worldwide
12 editions published in 1960 in English and held by 475 WorldCat member libraries worldwide
Numerical solutions of nonlinear differential equations by
Donald Greenspan(
Book
)
16 editions published between 1966 and 1967 in English and Undetermined and held by 451 WorldCat member libraries worldwide
16 editions published between 1966 and 1967 in English and Undetermined and held by 451 WorldCat member libraries worldwide
Numerical analysis for applied mathematics, science, and engineering by
Donald Greenspan(
Book
)
18 editions published between 1988 and 2018 in English and held by 392 WorldCat member libraries worldwide
18 editions published between 1988 and 2018 in English and held by 392 WorldCat member libraries worldwide
Numerical solution of ordinary differential equations : for classical, relativistic and nano systems by
Donald Greenspan(
)
13 editions published between 2005 and 2010 in English and held by 392 WorldCat member libraries worldwide
This work meets the need for an affordable textbook that helps in understanding numerical solutions of ODE. Carefully structured by an experienced textbook author, it provides a survey of ODE for various applications, both classical and modern, including such special applications as relativistic systems. The examples are carefully explained and compiled into an algorithm, each of which is presented independent of a specific programming language. Each chapter is rounded off with exercises
13 editions published between 2005 and 2010 in English and held by 392 WorldCat member libraries worldwide
This work meets the need for an affordable textbook that helps in understanding numerical solutions of ODE. Carefully structured by an experienced textbook author, it provides a survey of ODE for various applications, both classical and modern, including such special applications as relativistic systems. The examples are carefully explained and compiled into an algorithm, each of which is presented independent of a specific programming language. Each chapter is rounded off with exercises
Computeroriented mathematical physics by
Donald Greenspan(
Book
)
16 editions published between 1981 and 2014 in 3 languages and held by 370 WorldCat member libraries worldwide
ComputerOriented Mathematical Physics describes some mathematical models of classical physical phenomena, particularly the mechanics of particles. This book is composed of 12 chapters, and begins with an introduction to the link between mathematics and physics. The subsequent chapters deal with the concept of gravity, the theoretical foundations f classical physics as a mathematical science, and the principles of pendulum and other oscillators. These topics are followed by discussions of waves, vectors, gravitation, the bodyproblem, and discrete fluid models. The final chapters examine the
16 editions published between 1981 and 2014 in 3 languages and held by 370 WorldCat member libraries worldwide
ComputerOriented Mathematical Physics describes some mathematical models of classical physical phenomena, particularly the mechanics of particles. This book is composed of 12 chapters, and begins with an introduction to the link between mathematics and physics. The subsequent chapters deal with the concept of gravity, the theoretical foundations f classical physics as a mathematical science, and the principles of pendulum and other oscillators. These topics are followed by discussions of waves, vectors, gravitation, the bodyproblem, and discrete fluid models. The final chapters examine the
Introduction to numerical analysis and applications by
Donald Greenspan(
Book
)
13 editions published between 1970 and 1971 in English and held by 284 WorldCat member libraries worldwide
13 editions published between 1970 and 1971 in English and held by 284 WorldCat member libraries worldwide
Particle modeling by
Donald Greenspan(
Book
)
12 editions published in 1997 in English and held by 268 WorldCat member libraries worldwide
12 editions published in 1997 in English and held by 268 WorldCat member libraries worldwide
Introduction to calculus by
Donald Greenspan(
Book
)
9 editions published in 1968 in English and held by 197 WorldCat member libraries worldwide
9 editions published in 1968 in English and held by 197 WorldCat member libraries worldwide
Numerical methods by Colloquium on Numerical Methods(
Book
)
13 editions published in 1988 in English and Undetermined and held by 159 WorldCat member libraries worldwide
13 editions published in 1988 in English and Undetermined and held by 159 WorldCat member libraries worldwide
Quasimolecular modelling by
Donald Greenspan(
Book
)
10 editions published between 1991 and 1992 in English and Undetermined and held by 142 WorldCat member libraries worldwide
In this book the author has tried to apply "a little imagination and thinking" to modelling dynamical phenomena from a classical atomic and molecular point of view. Nonlinearity is emphasized, as are phenomena which are elusive from the continuum mechanics point of view. FORTRAN programs are provided in the Appendices
10 editions published between 1991 and 1992 in English and Undetermined and held by 142 WorldCat member libraries worldwide
In this book the author has tried to apply "a little imagination and thinking" to modelling dynamical phenomena from a classical atomic and molecular point of view. Nonlinearity is emphasized, as are phenomena which are elusive from the continuum mechanics point of view. FORTRAN programs are provided in the Appendices
NUMERICAL ANALYSIS by
Donald Greenspan(
)
4 editions published between 1994 and 2019 in English and held by 134 WorldCat member libraries worldwide
First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company
4 editions published between 1994 and 2019 in English and held by 134 WorldCat member libraries worldwide
First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company
Numerical methods(
Book
)
11 editions published in 1991 in English and Undetermined and held by 130 WorldCat member libraries worldwide
11 editions published in 1991 in English and Undetermined and held by 130 WorldCat member libraries worldwide
Pressure methods for the numerical solution of free surface fluid flows by
Ulderico Bulgarelli(
Book
)
5 editions published between 1983 and 1984 in English and held by 115 WorldCat member libraries worldwide
5 editions published between 1983 and 1984 in English and held by 115 WorldCat member libraries worldwide
Particle Modeling by
Donald Greenspan(
)
in English and held by 6 WorldCat member libraries worldwide
in English and held by 6 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

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Related Identities
 Casulli, Vincenzo
 University of Wisconsin
 Mathematics Research Center (United States. Army)
 Rózsa, P. Other Editor
 Bolyai János Matematikai Társulat
 Bulgarelli, Ulderico Author
 University of Texas at Arlington Department of Mathematics
 Mathematics Research Center (EtatsUnis Army)
 WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
 Tsokos, C. P.
Associated Subjects
Banach spaces Boundary value problems Boundary value problemsNumerical solutions Calculus Calculus of variations Canada Difference equationsData processing Differential equations Differential equations, EllipticNumerical solutions Differential equations, NonlinearNumerical solutions Differential equationsData processing Differential equationsNumerical solutions Electronic data processing Engineering mathematics Errors, Scientific Fluid dynamics Fluid dynamicsMathematics Hydrodynamics Initial value problems Initial value problemsNumerical solutions Laminar flowMathematical models Manybody problem Manybody problemComputer simulation Mathematical models Mathematical physics Mathematical physicsData processing Mathematics Mechanics Molecules Nonlinear theories Nonlinear theoriesData processing Numerical analysis Numerical analysisData processing Numerical calculations PhysicsData processing QuasimoleculesMathematical models Science ScienceComputer simulation Scientists Technology TechnologyComputer simulation TurbulenceMathematical models United States VaporsMathematical models Water vapor transportMathematical models