Greenspan, Donald
Overview
Works:  123 works in 409 publications in 3 languages and 9,207 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA297, 517.6 
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
Introduction to partial differential equations by
Donald Greenspan(
Book
)
27 editions published between 1961 and 2012 in English and Italian and held by 676 WorldCat member libraries worldwide
Cover; Title Page; Copyright Page; Preface; Contents; Chapter 1. Basic Concepts; 1.1. Sets. The empty set. Union, intersection, and equality of sets. Subsets; 1.2. Plane Point Sets. Circular neighborhood. Open set. Complement of a set. Closed set. Bounded set. Boundary of a set. Bounded plane curve. Simple, closed plane curve. Contour. Connected set. Jordan curve theorem. Simply connected set. Region. Nested squares. HeineBorel theorem; 1.3. Remarks on Real Functions. Analytic function. Diameter of a set. Distance between sets. Partial derivative. Double integral
27 editions published between 1961 and 2012 in English and Italian and held by 676 WorldCat member libraries worldwide
Cover; Title Page; Copyright Page; Preface; Contents; Chapter 1. Basic Concepts; 1.1. Sets. The empty set. Union, intersection, and equality of sets. Subsets; 1.2. Plane Point Sets. Circular neighborhood. Open set. Complement of a set. Closed set. Bounded set. Boundary of a set. Bounded plane curve. Simple, closed plane curve. Contour. Connected set. Jordan curve theorem. Simply connected set. Region. Nested squares. HeineBorel theorem; 1.3. Remarks on Real Functions. Analytic function. Diameter of a set. Distance between sets. Partial derivative. Double integral
Introductory numerical analysis of elliptic boundary value problems by
Donald Greenspan(
Book
)
19 editions published between 1965 and 1969 in English and held by 584 WorldCat member libraries worldwide
19 editions published between 1965 and 1969 in English and held by 584 WorldCat member libraries worldwide
Numerical solutions of nonlinear differential equations by
Donald Greenspan(
Book
)
33 editions published between 1966 and 1967 in English and Undetermined and held by 516 WorldCat member libraries worldwide
33 editions published between 1966 and 1967 in English and Undetermined and held by 516 WorldCat member libraries worldwide
Discrete models by
Donald Greenspan(
Book
)
15 editions published in 1973 in English and Undetermined and held by 505 WorldCat member libraries worldwide
15 editions published in 1973 in English and Undetermined and held by 505 WorldCat member libraries worldwide
Theory and solution of ordinary differential equations by
Donald Greenspan(
Book
)
11 editions published in 1960 in English and held by 481 WorldCat member libraries worldwide
11 editions published in 1960 in English and held by 481 WorldCat member libraries worldwide
Lectures on the numerical solution of linear, singular, and nonlinear differential equations by
Donald Greenspan(
Book
)
18 editions published between 1966 and 1968 in English and Undetermined and held by 480 WorldCat member libraries worldwide
18 editions published between 1966 and 1968 in English and Undetermined and held by 480 WorldCat member libraries worldwide
Arithmetic applied mathematics by
Donald Greenspan(
Book
)
10 editions published in 1980 in English and Undetermined and held by 417 WorldCat member libraries worldwide
10 editions published in 1980 in English and Undetermined and held by 417 WorldCat member libraries worldwide
Numerical analysis for applied mathematics, science, and engineering by
Donald Greenspan(
Book
)
17 editions published between 1988 and 1993 in English and Undetermined and held by 367 WorldCat member libraries worldwide
17 editions published between 1988 and 1993 in English and Undetermined and held by 367 WorldCat member libraries worldwide
Introduction to numerical analysis and applications by
Donald Greenspan(
Book
)
9 editions published between 1970 and 1971 in English and held by 277 WorldCat member libraries worldwide
9 editions published between 1970 and 1971 in English and held by 277 WorldCat member libraries worldwide
Numerical methods by
P Rózsa(
Book
)
23 editions published between 1988 and 1991 in English and Undetermined and held by 271 WorldCat member libraries worldwide
23 editions published between 1988 and 1991 in English and Undetermined and held by 271 WorldCat member libraries worldwide
Computeroriented mathematical physics by
Donald Greenspan(
Book
)
10 editions published in 1981 in 3 languages and held by 264 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
10 editions published in 1981 in 3 languages and held by 264 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 calculus by
Donald Greenspan(
Book
)
8 editions published in 1968 in English and Undetermined and held by 206 WorldCat member libraries worldwide
8 editions published in 1968 in English and Undetermined and held by 206 WorldCat member libraries worldwide
Particle modeling by
Donald Greenspan(
Book
)
9 editions published in 1997 in English and held by 185 WorldCat member libraries worldwide
9 editions published in 1997 in English and held by 185 WorldCat member libraries worldwide
Numerical solution of ordinary differential equations : for classical, relativistic and nano systems by
Donald Greenspan(
Book
)
11 editions published between 2005 and 2008 in English and held by 177 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
11 editions published between 2005 and 2008 in English and held by 177 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
Nbody problems and models by
Donald Greenspan(
Book
)
17 editions published in 2004 in English and held by 143 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
17 editions published in 2004 in English and held by 143 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
Molecular and particle modelling of laminar and turbulent flows by
Donald Greenspan(
Book
)
15 editions published in 2005 in English and held by 125 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
15 editions published in 2005 in English and held by 125 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
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 116 WorldCat member libraries worldwide
5 editions published between 1983 and 1984 in English and held by 116 WorldCat member libraries worldwide
Quasimolecular modelling by
Donald Greenspan(
Book
)
8 editions published in 1991 in English and Undetermined and held by 97 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
8 editions published in 1991 in English and Undetermined and held by 97 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
Approximate solution of initialboundary wave equation problems by boundary value techniques by
Donald Greenspan(
Book
)
8 editions published in 1967 in English and held by 9 WorldCat member libraries worldwide
The paper contains numerical studies of initialboundary value problems for linear and mildly nonlinear wave equations. Boundary value techniques are applied to problems for which asymptotic estimates or periodicity theorems are available. Stability problems are thereby averted completely. (Author)
8 editions published in 1967 in English and held by 9 WorldCat member libraries worldwide
The paper contains numerical studies of initialboundary value problems for linear and mildly nonlinear wave equations. Boundary value techniques are applied to problems for which asymptotic estimates or periodicity theorems are available. Stability problems are thereby averted completely. (Author)
The approximate solution of axially symmetric problems: programming the approximate solution of axially symmetric problems by
Donald Greenspan(
Book
)
4 editions published in 1963 in English and held by 5 WorldCat member libraries worldwide
Three dimensional Dirichlet problems for [Delta] u=F (u), are treated numerically by an exceptionally fast, exceptionally accurate numerical method. Programming details, numerous examples, and mathematical theory are supplied. Extension of the method in a natural way to ndimensional problems is indicated by means of a 4dimensional example
4 editions published in 1963 in English and held by 5 WorldCat member libraries worldwide
Three dimensional Dirichlet problems for [Delta] u=F (u), are treated numerically by an exceptionally fast, exceptionally accurate numerical method. Programming details, numerous examples, and mathematical theory are supplied. Extension of the method in a natural way to ndimensional problems is indicated by means of a 4dimensional example
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Related Identities
 Casulli, Vincenzo
 Mathematics Research Center (United States. Army)
 University of Wisconsin
 Rózsa, P. Other Editor
 Bolyai János Matematikai Társulat
 Wiley InterScience (Online service)
 Bulgarelli, Ulderico Author
 University of Texas at Arlington Department of Mathematics
 Mathematics Research Center (EtatsUnis Army)
 WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Associated Subjects
Algebras, Linear Banach spaces Boundary value problems Boundary value problemsNumerical solutions Calculus Calculus of variations Canada Difference equations Difference equationsData processing Differential equations Differential equations, EllipticNumerical solutions Differential equations, NonlinearNumerical solutions Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsData processing Differential equationsNumerical solutions Electronic data processing EquationsNumerical solutions 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 Wave equation