# zbMATH — the first resource for mathematics

## Greenspan, Donald

Compute Distance To:
 Author ID: greenspan.donald Published as: Greenspan, D.; Greenspan, Donald Homepage: http://www.uta.edu/math/pages/faculty/greenspan.htm External Links: MGP · dblp · GND
 Documents Indexed: 179 Publications since 1955, including 27 Books
all top 5

#### Co-Authors

 143 single-authored 8 Casulli, Vincenzo 4 Bulgarelli, Ulderico 4 LaBudde, Robert A. 3 Schultz, David E. 2 Collier, John 2 Jain, Praving C. 2 Korzeniowski, Andrzej 2 Rósza, Pál 1 Anselone, Philip M. 1 Coppin, Charles Arthur 1 Coppin, Christopher M. L. 1 Jackson, Stanley B. 1 Jain, Padam C. 1 Korlie, Mark S. 1 Marciniak, Andrzej 1 Parter, Seymour V. 1 Reeves, W. R. 1 Silverman, Edward 1 Warten, R. M. 1 Werner, Peter 1 Yohe, M.
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#### Serials

 22 Computers & Mathematics with Applications 12 Mathematical and Computer Modelling 11 Journal of the Franklin Institute 8 Computer Methods in Applied Mechanics and Engineering 8 Applied Mathematical Modelling 6 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 4 International Journal for Numerical Methods in Fluids 4 Communications of the ACM 3 American Mathematical Monthly 3 Journal of Computational Physics 3 Mathematics Magazine 3 The Computer Journal. Section A / Section B 3 Numerische Mathematik 2 Archive for Rational Mechanics and Analysis 2 International Journal of General Systems 2 International Journal of Theoretical Physics 2 Journal of the Institute of Mathematics and its Applications 2 Journal of Mathematical Analysis and Applications 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Systems Analysis, Modelling Simulation 2 Bulletin of the American Mathematical Society 2 BIT. Nordisk Tidskrift for Informationsbehandling 1 Astrophysics and Space Science 1 Computers and Fluids 1 Computers and Structures 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of Mathematical and Physical Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Kybernetes 1 Mathematics and Computers in Simulation 1 Portugaliae Mathematica 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Utilitas Mathematica 1 Mathematical Modelling 1 Acta Applicandae Mathematicae 1 SIAM Journal on Applied Mathematics 1 Physica Scripta 1 Mathematical Tables and other Aids to Computation 1 Rivista di Matematica della Università di Parma 1 Rivista di Matematica della Universitá di Parma, II. Serie 1 Mathematics in Science and Engineering 1 Nonlinear Analysis. Theory, Methods & Applications 1 Modeling and Simulation in Science, Engineering and Technology
all top 5

#### Fields

 54 Numerical analysis (65-XX) 49 Fluid mechanics (76-XX) 42 Mechanics of particles and systems (70-XX) 15 Quantum theory (81-XX) 15 Statistical mechanics, structure of matter (82-XX) 10 Mechanics of deformable solids (74-XX) 9 Ordinary differential equations (34-XX) 6 General and overarching topics; collections (00-XX) 6 Difference and functional equations (39-XX) 5 Relativity and gravitational theory (83-XX) 5 Biology and other natural sciences (92-XX) 4 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 3 Differential geometry (53-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH

121 Publications have been cited 862 times in 535 Documents Cited by Year
Arithmetic applied mathematics. Zbl 0439.70011
Greenspan, Donald
1980
Discrete numerical methods in physics and engineering. Zbl 0288.65001
Greenspan, Donald
1974
Pressure method for the numerical solution of transient, compressible fluid flows. Zbl 0549.76050
Casulli, V.; Greenspan, D.
1984
Arithmetic modeling in applied mathematics. Zbl 0443.70003
Greenspan, D.
1980
Numerical analysis for applied mathematics, science, and engineering. Zbl 0658.65001
Greenspan, Donald; Casulli, Vincenzo
1988
Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. I: Motion of a single particle. Zbl 0364.65066
LaBudde, Robert A.; Greenspan, Donald
1976
Discrete models. Zbl 0266.70002
Greenspan, Donald
1973
Conservative numerical methods for $$\ddot x=f(x)$$. Zbl 0561.65056
Greenspan, Donald
1984
Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. II: Motion of a system of particles. Zbl 0382.65031
LaBudde, Robert A.; Greenspan, Donald
1976
Mildly nonlinear elliptic partial differential equations and their numerical solution. II. Zbl 0135.38302
Greenspan, D.; Parter, S. V.
1965
Discrete mechanics - a general treatment. Zbl 0301.70006
LaBudde, Robert A.; Greenspan, Donald
1974
Introductory numerical analysis of elliptic boundary value problems. (Harper’s Series in Modern Mathematics). Zbl 0132.36602
Greenspan, D.
1965
Numerical solution of a class of nonsteady cavity flow problems. Zbl 0179.56701
Greenspan, D.
1968
Particle modeling. Zbl 0882.68154
Greenspan, Donald
1997
Numerical studies of steady, viscous, incompressible flow in a channel with a step. Zbl 0169.28206
Greenspan, D.
1969
A numerical method for the exterior Dirichlet problem for the reduced wave equation. Zbl 0161.12701
Greenspan, D.; Werner, P.
1966
Numerical studies of prototype cavity flow problems. Zbl 0164.56102
Greenspan, D.
1969
Completely conservative, covariant numerical methodology. Zbl 0818.70005
Greenspan, D.
1995
Molecular and quasimolecular modelling of solids and fluids. Zbl 0754.65006
Greenspan, Donald
1991
Pressure methods for the numerical solution of free surface fluid flows. Zbl 0571.76001
Bulgarelli, Ulderico; Casulli, Vincenzo; Greenspan, Donald
1984
An algebraic, energy conserving formulation of classical molecular and Newtonian $$n$$-body interaction. Zbl 0266.70004
Greenspan, Donald
1973
Numerical studies of flow between rotating coaxial disks. Zbl 0236.76032
Greenspan, Donald
1972
On approximating extremals of functionals. II: Theory and generalizations related to boundary value problems for nonlinear differential equations. Zbl 0171.13704
Greenspan, D.
1967
An analysis of stress wave propagation in slender bars using a discrete particle approach. Zbl 0491.73099
Reeves, W. R.; Greenspan, D.
1982
Numerical solution of the three dimensional, time dependent Navier-Stokes equations. Zbl 0553.76022
Bulgarelli, U.; Casulli, V.; Greenspan, D.
1984
Numerical studies of steady, viscous, incompressible flow between two rotating spheres. Zbl 0339.76017
Greenspan, Donald
1975
Approximate solution of initial-boundary wave equation problems by boundary value techniques. Zbl 0176.15304
Greenspan, D.
1968
Computer-oriented mathematical physics. Zbl 0462.70001
Greenspan, Donald
1981
Secondary flow in a curved tube. Zbl 0255.76033
Greenspan, D.
1973
Supercomputer simulation of liquid drop formation on a solid surface. Zbl 0729.76616
Greenspan, Donald
1991
Computer studies in particle modelling of fluid phenomena. Zbl 0578.76005
Greenspan, Donald
1985
An arithmetic, particle theory of fluid dynamics. Zbl 0282.76002
Greenspan, Donald
1974
Discrete Newtonian gravitation and the N-body problem. Zbl 0256.70007
Greenspan, Donald
1972
Fast finite-difference solution of biharmonic problems. Zbl 0234.65087
Greenspan, D.; Schultz, D.
1972
Supercomputer simulation of sessile and pendent drops. Zbl 0655.76078
Greenspan, D.
1988
A physically consistent, discrete n-body model. Zbl 0284.70007
Greenspan, Donald
1974
A new explicit discrete mechanics with applications. Zbl 0297.70012
Greenspan, Donald
1972
New forms of discrete mechanics. Zbl 0244.70002
Greenspan, Donald
1972
Introduction to numerical analysis and applications. Zbl 0208.39501
Greenspan, Donald
1971
Numerical studies of two dimensional, steady state Navier-Stokes equations for arbitrary Reynolds number. Zbl 0198.59102
Greenspan, D.
1967
On non-negative difference analogues of elliptic differential equations. Zbl 0213.42503
Greenspan, D.; Jain, P. C.
1965
On a class of linear difference-integral equations. Zbl 0121.08902
Anselone, P. M.; Greenspan, D.
1963
On a ”best” 9-point difference equation analogue of Laplace’s equation. Zbl 0085.11202
Greenspan, Donald
1957
The error in quasi-quantum mechanical calculations. Zbl 0743.65066
Greenspan, Donald
1991
A mathematical curiosity in estimating the radius of the first ring electrons of an arbitrary atom. Zbl 0589.65040
Greenspan, Donald
1986
A classical molecular approach to computer simulation of biological sorting. Zbl 0455.92002
Greenspan, Donald
1981
Simplification and improvement of a numerical method for Navier-Stokes problems. Zbl 0363.76017
Greenspan, D.; Schultz, D.
1977
Natural convection in an enclosure with localized heating from below. Zbl 0277.76085
Greenspan, D.; Schultz, D.
1974
Numerical approximation of periodic solutions of van der Pol’s equation. Zbl 0243.65054
Greenspan, Donald
1972
Numerical studies of the 3-body problem. Zbl 0232.70009
Greenspan, Donald
1971
Application of a method for approximating extremals of functionals to compressible subsonic fluid flows. Zbl 0148.21101
1967
On the numerical solution of problems allowing mixed boundary conditions. Zbl 0141.13801
Greenspan, D.
1964
On the approximate solution of elliptic differential equations with mixed partial derivatives. (MRC Technical Summary Report. Nr. 209). Zbl 0132.36603
Greenspan, D.
1960
Methods of matrix inversion. Zbl 0067.35404
Greenspan, Donald
1955
Electron attraction and Newtonian methodology for approximating quantum mechanical phenomena. Zbl 0800.65002
Greenspan, Donald
1993
Conservative difference formulations of Calogero and Toda Hamiltonian systems. Zbl 0697.65065
Greenspan, D.
1990
A contribution to the particle modeling of soap films. Zbl 0651.65008
Coppin, C.; Greenspan, D.
1988
Quasimolecular channel and vortex street modeling on a supercomputer. Zbl 0638.76025
Greenspan, D.
1988
Particle modelling of an elastic arch. Zbl 0582.73041
Greenspan, D.; Casulli, V.
1985
Discrete modeling of minimal surfaces. Zbl 0515.65013
Coppin, C.; Greenspan, D.
1983
N-body modeling of nonlinear, free surface liquid flow. Zbl 0433.76008
Greenspan, Donald
1980
New mathematical models of porous flow. Zbl 0425.76081
Greenspan, Donald
1980
Computer studies of swirling particle fluids and the evolution of planetary-type bodies. Zbl 0386.76086
Greenspan, D.; Collier, J.
1978
A discrete numerical approach to fluid dynamics. Zbl 0259.76017
Greenspan, Donald
1972
Approximate solution of initial value problems for ordinary differential equations by boundary value techniques. Zbl 0208.41402
Greenspan, D.
1967
On the approximate solution of a class of strongly elliptic linear differential equations. Zbl 0134.33003
Greenspan, D.
1961
A particle model of fluid sloshing. Zbl 1129.76348
Greenspan, D.
2005
N-body problems and models. Zbl 1063.70001
Greenspan, Donald
2004
Conservative motion of a discrete, hexahedral gyroscope. Zbl 0938.70002
Greenspan, Donald
1998
Microscopic turbulence in water. Zbl 0854.76043
Korzeniowski, A.; Greenspan, D.
1996
Computer study of a semiclassical model of the dynamical water molecule. Zbl 0800.81009
Greenspan, D.
1993
Supercomputer studies in absolute minimization. Zbl 0712.65062
Greenspan, D.
1990
Supercomputer simulation of colliding microdrops of water. Zbl 0691.76115
Greenspan, D.
1990
An elementary algebraic method for approximating average radii of first and second ring electrons. Zbl 0611.65036
Greenspan, Donald
1986
Computer studies of a von Neumann type fluid. Zbl 0377.76053
Greenspan, Donald
1978
Discrete, nonlinear string vibrations. Zbl 0188.58002
Greenspan, D.
1970
Numerical studies of prototype cavity flow problems. Appendix: CDC 3600 Fortran program for cavity flow problems. Zbl 0198.59204
Greenspan, D.
1968
Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Appendix: Programming orifice flow. Zbl 0198.59203
Greenspan, D.
1968
Numerical studies of viscous, incompressible flow for arbitrary Reynolds number. Appendix: Programming viscous, incompressible flow problems. Zbl 0198.59201
Greenspan, D.
1968
Approximate solution of the exterior Dirichlet problem and the calculation of electrostatic capacity. Zbl 0173.44603
Greenspan, Donald; Silverman, Edward
1966
Numerical solutions of nonlinear differential equations. Proceedings of an advanced symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, May 9-11, 1966. Zbl 0156.24103
Greenspan, D. (ed.)
1966
On the approximate solution of Dirichlet-type problems with singularities on the boundary. Zbl 0137.33401
Greenspan, D.; Warten, R. M.
1962
Introduction to partial differential equations. Zbl 0105.29603
Greenspan, Donald
1961
Note on nine-point analogues of Laplace’s equation. Zbl 0085.11203
Greenspan, Donald
1957
Electron attraction and the chemical bond. Zbl 0976.92034
Greenspan, D.
2001
Particle simulation in contact mechanics of a bouncing elastic ball. Zbl 0964.70003
Greenspan, D.
2000
The use of particle simulation in contact mechanics. Zbl 1042.74550
Greenspan, D.
1999
Electron attraction and chemical bonding. Zbl 0972.92036
Greenspan, D.
1999
Dynamical simulation of the simplest hydrides. Zbl 0997.81618
Greenspan, D.
1998
A molecular mechanics-type approach to turbulence. Zbl 1185.76756
Greenspan, D.
1997
Particle simulation of carbon dioxide bubbles in water. Zbl 0897.76073
Korlie, M. S.; Greenspan, D.
1997
Numerical studies of microturbulence in water. Zbl 0818.76076
Korzeniowski, A.; Greenspan, D.
1995
Completely conservative numerical methodology for $$N$$-body problems with distance-dependent potentials. Zbl 0836.70006
Greenspan, Donald
1993
Molecular and quasimolecular modelling of solids and fluids. Zbl 0800.82026
Greenspan, Donald
1993
Studies in rapid kinetic reactions by quasi-quantum mechanical, conservative methodology. Zbl 0760.92024
Greenspan, Donald
1992
Arbitrary order, Hamiltonian conserving numerical solutions of Calogero and Toda systems. Zbl 0734.65059
Marciniak, Andrzej; Greenspan, Donald
1991
Quasimolecular simulation of large liquid drops. Zbl 0686.76047
Greenspan, Donald
1990
Supercomputer simulation of liquid drop formation, fall, and collision. Zbl 0696.76123
Greenspan, Donald
1989
Particle modeling in science and technology. Zbl 0636.65137
Greenspan, Donald
1988
Particle modeling of cavity flow on a vector computer. Zbl 0618.76002
Greenspan, Donald
1988
A particle model of fluid sloshing. Zbl 1129.76348
Greenspan, D.
2005
N-body problems and models. Zbl 1063.70001
Greenspan, Donald
2004
Electron attraction and the chemical bond. Zbl 0976.92034
Greenspan, D.
2001
Particle simulation in contact mechanics of a bouncing elastic ball. Zbl 0964.70003
Greenspan, D.
2000
The use of particle simulation in contact mechanics. Zbl 1042.74550
Greenspan, D.
1999
Electron attraction and chemical bonding. Zbl 0972.92036
Greenspan, D.
1999
Conservative motion of a discrete, hexahedral gyroscope. Zbl 0938.70002
Greenspan, Donald
1998
Dynamical simulation of the simplest hydrides. Zbl 0997.81618
Greenspan, D.
1998
Particle modeling. Zbl 0882.68154
Greenspan, Donald
1997
A molecular mechanics-type approach to turbulence. Zbl 1185.76756
Greenspan, D.
1997
Particle simulation of carbon dioxide bubbles in water. Zbl 0897.76073
Korlie, M. S.; Greenspan, D.
1997
Microscopic turbulence in water. Zbl 0854.76043
Korzeniowski, A.; Greenspan, D.
1996
Completely conservative, covariant numerical methodology. Zbl 0818.70005
Greenspan, D.
1995
Numerical studies of microturbulence in water. Zbl 0818.76076
Korzeniowski, A.; Greenspan, D.
1995
Electron attraction and Newtonian methodology for approximating quantum mechanical phenomena. Zbl 0800.65002
Greenspan, Donald
1993
Computer study of a semiclassical model of the dynamical water molecule. Zbl 0800.81009
Greenspan, D.
1993
Completely conservative numerical methodology for $$N$$-body problems with distance-dependent potentials. Zbl 0836.70006
Greenspan, Donald
1993
Molecular and quasimolecular modelling of solids and fluids. Zbl 0800.82026
Greenspan, Donald
1993
Studies in rapid kinetic reactions by quasi-quantum mechanical, conservative methodology. Zbl 0760.92024
Greenspan, Donald
1992
Molecular and quasimolecular modelling of solids and fluids. Zbl 0754.65006
Greenspan, Donald
1991
Supercomputer simulation of liquid drop formation on a solid surface. Zbl 0729.76616
Greenspan, Donald
1991
The error in quasi-quantum mechanical calculations. Zbl 0743.65066
Greenspan, Donald
1991
Arbitrary order, Hamiltonian conserving numerical solutions of Calogero and Toda systems. Zbl 0734.65059
Marciniak, Andrzej; Greenspan, Donald
1991
Conservative difference formulations of Calogero and Toda Hamiltonian systems. Zbl 0697.65065
Greenspan, D.
1990
Supercomputer studies in absolute minimization. Zbl 0712.65062
Greenspan, D.
1990
Supercomputer simulation of colliding microdrops of water. Zbl 0691.76115
Greenspan, D.
1990
Quasimolecular simulation of large liquid drops. Zbl 0686.76047
Greenspan, Donald
1990
Supercomputer simulation of liquid drop formation, fall, and collision. Zbl 0696.76123
Greenspan, Donald
1989
Numerical analysis for applied mathematics, science, and engineering. Zbl 0658.65001
Greenspan, Donald; Casulli, Vincenzo
1988
Supercomputer simulation of sessile and pendent drops. Zbl 0655.76078
Greenspan, D.
1988
A contribution to the particle modeling of soap films. Zbl 0651.65008
Coppin, C.; Greenspan, D.
1988
Quasimolecular channel and vortex street modeling on a supercomputer. Zbl 0638.76025
Greenspan, D.
1988
Particle modeling in science and technology. Zbl 0636.65137
Greenspan, Donald
1988
Particle modeling of cavity flow on a vector computer. Zbl 0618.76002
Greenspan, Donald
1988
Particle modeling by systems of nonlinear ordinary differential equations. Zbl 0656.34009
Greenspan, Donald
1987
A mathematical curiosity in estimating the radius of the first ring electrons of an arbitrary atom. Zbl 0589.65040
Greenspan, Donald
1986
An elementary algebraic method for approximating average radii of first and second ring electrons. Zbl 0611.65036
Greenspan, Donald
1986
Quasi-molecular, particle modeling of crack generation and fracture. Zbl 0577.73096
Greenspan, Donald
1986
Computer studies in particle modelling of fluid phenomena. Zbl 0578.76005
Greenspan, Donald
1985
Particle modelling of an elastic arch. Zbl 0582.73041
Greenspan, D.; Casulli, V.
1985
Pressure method for the numerical solution of transient, compressible fluid flows. Zbl 0549.76050
Casulli, V.; Greenspan, D.
1984
Conservative numerical methods for $$\ddot x=f(x)$$. Zbl 0561.65056
Greenspan, Donald
1984
Pressure methods for the numerical solution of free surface fluid flows. Zbl 0571.76001
Bulgarelli, Ulderico; Casulli, Vincenzo; Greenspan, Donald
1984
Numerical solution of the three dimensional, time dependent Navier-Stokes equations. Zbl 0553.76022
Bulgarelli, U.; Casulli, V.; Greenspan, D.
1984
A new mathematical approach to biological cell rearrangement with application to the inversion of volvox. Zbl 0549.92002
Greenspan, Donald
1984
Discrete modeling of minimal surfaces. Zbl 0515.65013
Coppin, C.; Greenspan, D.
1983
An analysis of stress wave propagation in slender bars using a discrete particle approach. Zbl 0491.73099
Reeves, W. R.; Greenspan, D.
1982
Computer-oriented mathematical physics. Zbl 0462.70001
Greenspan, Donald
1981
A classical molecular approach to computer simulation of biological sorting. Zbl 0455.92002
Greenspan, Donald
1981
A new computer-oriented approach to molecular mechanics. Zbl 0485.65083
Greenspan, Donald
1981
Arithmetic applied mathematics. Zbl 0439.70011
Greenspan, Donald
1980
Arithmetic modeling in applied mathematics. Zbl 0443.70003
Greenspan, D.
1980
N-body modeling of nonlinear, free surface liquid flow. Zbl 0433.76008
Greenspan, Donald
1980
New mathematical models of porous flow. Zbl 0425.76081
Greenspan, Donald
1980
On numerical treatment of free surfaces for incompressible fluid-flow problems. Zbl 0448.76028
Bulgarelli, U.; Casulli, V.; Greenspan, D.
1980
Computer studies of swirling particle fluids and the evolution of planetary-type bodies. Zbl 0386.76086
Greenspan, D.; Collier, J.
1978
Computer studies of a von Neumann type fluid. Zbl 0377.76053
Greenspan, Donald
1978
A particle model of the stefan problem. Zbl 0371.73004
Greenspan, Donald
1978
Simplification and improvement of a numerical method for Navier-Stokes problems. Zbl 0363.76017
Greenspan, D.; Schultz, D.
1977
Arithmetic applied mathematics. Zbl 0365.70002
Greenspan, Donald
1977
Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. I: Motion of a single particle. Zbl 0364.65066
LaBudde, Robert A.; Greenspan, Donald
1976
Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. II: Motion of a system of particles. Zbl 0382.65031
LaBudde, Robert A.; Greenspan, Donald
1976
Numerical studies of steady, viscous, incompressible flow between two rotating spheres. Zbl 0339.76017
Greenspan, Donald
1975
Discrete numerical methods in physics and engineering. Zbl 0288.65001
Greenspan, Donald
1974
Discrete mechanics - a general treatment. Zbl 0301.70006
LaBudde, Robert A.; Greenspan, Donald
1974
An arithmetic, particle theory of fluid dynamics. Zbl 0282.76002
Greenspan, Donald
1974
A physically consistent, discrete n-body model. Zbl 0284.70007
Greenspan, Donald
1974
Natural convection in an enclosure with localized heating from below. Zbl 0277.76085
Greenspan, D.; Schultz, D.
1974
Discrete models. Zbl 0266.70002
Greenspan, Donald
1973
An algebraic, energy conserving formulation of classical molecular and Newtonian $$n$$-body interaction. Zbl 0266.70004
Greenspan, Donald
1973
Secondary flow in a curved tube. Zbl 0255.76033
Greenspan, D.
1973
Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Zbl 0258.76015
Greenspan, Donald
1973
Numerical studies of flow between rotating coaxial disks. Zbl 0236.76032
Greenspan, Donald
1972
Discrete Newtonian gravitation and the N-body problem. Zbl 0256.70007
Greenspan, Donald
1972
Fast finite-difference solution of biharmonic problems. Zbl 0234.65087
Greenspan, D.; Schultz, D.
1972
A new explicit discrete mechanics with applications. Zbl 0297.70012
Greenspan, Donald
1972
New forms of discrete mechanics. Zbl 0244.70002
Greenspan, Donald
1972
Numerical approximation of periodic solutions of van der Pol’s equation. Zbl 0243.65054
Greenspan, Donald
1972
A discrete numerical approach to fluid dynamics. Zbl 0259.76017
Greenspan, Donald
1972
Introduction to numerical analysis and applications. Zbl 0208.39501
Greenspan, Donald
1971
Numerical studies of the 3-body problem. Zbl 0232.70009
Greenspan, Donald
1971
Computer simulation of transverse string vibrations. Zbl 0229.70027
Greenspan, Donald
1971
New forms of discrete mechanics. Zbl 0229.70016
Greenspan, Donald
1971
Discrete, nonlinear string vibrations. Zbl 0188.58002
Greenspan, D.
1970
Numerical studies of steady, viscous, incompressible flow in a channel with a step. Zbl 0169.28206
Greenspan, D.
1969
Numerical studies of prototype cavity flow problems. Zbl 0164.56102
Greenspan, D.
1969
Numerical solution of a class of nonsteady cavity flow problems. Zbl 0179.56701
Greenspan, D.
1968
Approximate solution of initial-boundary wave equation problems by boundary value techniques. Zbl 0176.15304
Greenspan, D.
1968
Numerical studies of prototype cavity flow problems. Appendix: CDC 3600 Fortran program for cavity flow problems. Zbl 0198.59204
Greenspan, D.
1968
Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Appendix: Programming orifice flow. Zbl 0198.59203
Greenspan, D.
1968
Numerical studies of viscous, incompressible flow for arbitrary Reynolds number. Appendix: Programming viscous, incompressible flow problems. Zbl 0198.59201
Greenspan, D.
1968
Numerical studies of steady, viscous, incompressible flow in a channel with a step. Appendix: Programming flows in a channel with a step. Zbl 0198.59202
Greenspan, D.
1968
Discrete mechanics. Zbl 0195.54402
Greenspan, Donald
1968
On approximating extremals of functionals. II: Theory and generalizations related to boundary value problems for nonlinear differential equations. Zbl 0171.13704
Greenspan, D.
1967
Numerical studies of two dimensional, steady state Navier-Stokes equations for arbitrary Reynolds number. Zbl 0198.59102
Greenspan, D.
1967
Application of a method for approximating extremals of functionals to compressible subsonic fluid flows. Zbl 0148.21101
1967
Approximate solution of initial value problems for ordinary differential equations by boundary value techniques. Zbl 0208.41402
Greenspan, D.
1967
A numerical method for the exterior Dirichlet problem for the reduced wave equation. Zbl 0161.12701
Greenspan, D.; Werner, P.
1966
Approximate solution of the exterior Dirichlet problem and the calculation of electrostatic capacity. Zbl 0173.44603
Greenspan, Donald; Silverman, Edward
1966
Numerical solutions of nonlinear differential equations. Proceedings of an advanced symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, May 9-11, 1966. Zbl 0156.24103
Greenspan, D. (ed.)
1966
...and 21 more Documents
all top 5

#### Cited by 631 Authors

 88 Greenspan, Donald 10 Schultz, David H. 8 Betsch, Peter 8 Casulli, Vincenzo 8 Dumbser, Michael 8 Yavin, Yaakov 7 Elenin, G. G. 7 Mohanty, Ranjan Kumar 6 Cieśliński, Jan L. 6 Elenina, T. G. 6 Gotusso, Laura 6 Ishihara, Kazuo 6 Marciniak, Andrzej 6 Pao, Chia-Ven 5 Jelenić, Gordan 5 Kadalbajoo, Mohan K. 5 Korlie, Mark S. 4 Evans, David John 4 Friedman, Menahem 4 Frontini, Marco 4 Herbin, Raphaèle 4 Jain, Mukesh Kumar 4 LaBudde, Robert A. 4 Latché, Jean-Claude 4 Parter, Seymour V. 4 Romero, Ignacio 4 Simo, Juan Carlos 4 Steinmann, Paul 4 Tavelli, Maurizio 4 Wang, Yuanming 3 Bharadwaj, Kamal K. 3 Bulgarelli, Ulderico 3 Cerimele, Maria Mercede 3 Cheng, Ralph Ta-shun 3 Choo, Joshua Y. 3 Dennis, S. C. R. 3 Gallouët, Thierry 3 George, Kochurani 3 Graham, Erica J. 3 Gupta, Murli M. 3 Ha, Sung Nam 3 Ingham, Derek Binns 3 Klein, Rupert 3 Manohar, Ram P. 3 Morgul, Omer 3 Nave, Jean-Christophe 3 Smith, Frank T. 3 Snyman, Johannes Arnoldus 3 Tamma, Kumar K. 3 Wan, Andy T. S. 3 Zhou, Xiangmin 2 Abdullah, Abdul Rahman Bin 2 Ahner, John F. 2 Amodio, Pierluigi 2 Anselone, Philip M. 2 Barrett, Kenneth E. 2 Berger, Stanley A. 2 Bhatnagar, Raj K. 2 Bihlo, Alexander 2 Bochkov, Daniil 2 Boyarsky, Abraham 2 Chen, Ren-Chuen 2 Ciarlet, Philippe Gaston 2 Crisfield, Michael A. 2 Dellacherie, Stéphane 2 Dorr, Fred W. 2 Ezquerro, José Antonio 2 Fambri, Francesco 2 Furihata, Daisuke 2 Gibou, Frédéric 2 González, Oscar R. 2 Góra, Paweł 2 Gross, Michael B. 2 Har, Jason 2 Heard, Melvin L. 2 Hernández-Verón, Miguel Ángel 2 Hoitink, Andrew 2 Hsiao, George C. 2 Ide, Takanori 2 Ignat’ev, A. O. 2 Jain, Praving C. 2 Kannan, Rangachary 2 Kim, Pilwon 2 Kocamustafaogullari, Gunol 2 Korzeniowski, Andrzej 2 Koßmann, Heinz 2 Krenk, Steen 2 Kress, Rainer 2 Kußmaul, R. 2 Li, Lu 2 Liu, Jinn-Liang 2 Maltese, David 2 Marsden, Jerrold Eldon 2 McLeod, John Bryce 2 Mickens, Ronald Elbert 2 Miller, R. H. 2 Minesaki, Yukitaka 2 Munz, Claus-Dieter 2 Nakamura, Yoshimasa 2 Nallasamy, M. ...and 531 more Authors
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#### Cited in 123 Serials

 55 Computers & Mathematics with Applications 44 Journal of Computational Physics 37 Computer Methods in Applied Mechanics and Engineering 31 Applied Mathematics and Computation 20 Journal of Computational and Applied Mathematics 19 Numerische Mathematik 17 Computers and Fluids 15 Journal of Mathematical Analysis and Applications 15 Applied Mathematical Modelling 14 Mathematical and Computer Modelling 13 International Journal for Numerical Methods in Engineering 11 Journal of Fluid Mechanics 11 Journal of the Franklin Institute 9 International Journal for Numerical Methods in Fluids 9 Applied Numerical Mathematics 9 International Journal of Computer Mathematics 7 Mathematics of Computation 7 Computing 6 Journal of Engineering Mathematics 5 Physics Letters. A 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Physica D 5 Numerical Algorithms 5 Differential Equations 4 International Journal of Mathematical Education in Science and Technology 4 Mathematics and Computers in Simulation 4 Numerical Methods for Partial Differential Equations 4 Communications in Numerical Methods in Engineering 4 International Journal of Numerical Methods for Heat & Fluid Flow 3 Archive for Rational Mechanics and Analysis 3 Fluid Dynamics 3 International Journal of Engineering Science 3 International Journal of General Systems 3 International Journal of Theoretical Physics 3 Automatica 3 BIT 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Numerical Analysis 3 Computational Mechanics 3 Japan Journal of Industrial and Applied Mathematics 3 Journal of Difference Equations and Applications 2 Acta Mechanica 2 Applicable Analysis 2 Rheologica Acta 2 Aplikace Matematiky 2 Calcolo 2 Mathematische Zeitschrift 2 Optimal Control Applications & Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Scientific Computing 2 Computational Mathematics and Mathematical Physics 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Nonlinear Science 2 Multibody System Dynamics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Engineering Computations 2 Bulletin of the American Mathematical Society 2 BIT. Nordisk Tidskrift for Informationsbehandling 1 Astrophysics and Space Science 1 Bulletin of the Australian Mathematical Society 1 Computer Physics Communications 1 International Journal of Solids and Structures 1 International Journal of Systems Science 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Physics of Fluids 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Theoretical and Computational Fluid Dynamics 1 Chaos, Solitons and Fractals 1 Prikladnaya Matematika i Mekhanika 1 Archiv der Mathematik 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Kybernetes 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 RAIRO. Analyse Numérique 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Systems & Control Letters 1 Annals of Pure and Applied Logic 1 Journal of Complexity 1 Journal of Computer Science and Technology 1 Journal of Global Optimization 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Celestial Mechanics 1 European Journal of Operational Research 1 Computers and Mathematics with Applications. Part B 1 Celestial Mechanics and Dynamical Astronomy 1 Cybernetics and Systems Analysis 1 Russian Mathematics 1 SIAM Journal on Scientific Computing 1 Physics of Fluids ...and 23 more Serials
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#### Cited in 37 Fields

 276 Numerical analysis (65-XX) 166 Fluid mechanics (76-XX) 102 Partial differential equations (35-XX) 76 Mechanics of particles and systems (70-XX) 53 Ordinary differential equations (34-XX) 44 Mechanics of deformable solids (74-XX) 33 Dynamical systems and ergodic theory (37-XX) 20 Statistical mechanics, structure of matter (82-XX) 17 Quantum theory (81-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Computer science (68-XX) 13 Systems theory; control (93-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Optics, electromagnetic theory (78-XX) 7 Integral equations (45-XX) 6 Differential geometry (53-XX) 6 Geophysics (86-XX) 6 Biology and other natural sciences (92-XX) 5 Difference and functional equations (39-XX) 5 Operations research, mathematical programming (90-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Potential theory (31-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Probability theory and stochastic processes (60-XX) 3 Astronomy and astrophysics (85-XX) 2 Approximations and expansions (41-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX)