Edit Profile (opens in new tab) Greenspan, Donald Co-Author Distance Author ID: greenspan.donald Published as: Greenspan, Donald; Greenspan, D. Homepage: http://www.uta.edu/math/pages/faculty/greenspan.htm External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 176 Publications since 1955, including 24 Books 3 Contributions as Editor Co-Authors: 17 Co-Authors with 31 Joint Publications 159 Co-Co-Authors all top 5 Co-Authors 143 single-authored 8 Casulli, Vincenzo 4 Bulgarelli, Ulderico 4 LaBudde, Robert A. 3 Jain, Padam C. 2 Collier, John 2 Korzeniowski, Andrzej 2 Rósza, Pál 1 Anselone, Philip M. 1 Jackson, Stanley B. 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. all top 5 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 2 Colloquia Mathematica Societatis János Bolyai 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 912 times in 605 Documents Cited by ▼ Year ▼ Pressure method for the numerical solution of transient, compressible fluid flows. Zbl 0549.76050 Casulli, V.; Greenspan, D. 60 1984 Conservative numerical methods for \(\ddot x=f(x)\). Zbl 0561.65056 Greenspan, Donald 45 1984 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 45 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 44 1976 Arithmetic modeling in applied mathematics. Zbl 0443.70003 Greenspan, D. 39 1980 Discrete numerical methods in physics and engineering. Zbl 0288.65001 Greenspan, Donald 39 1974 Numerical analysis for applied mathematics, science, and engineering. Zbl 0658.65001 Greenspan, Donald; Casulli, Vincenzo 38 1988 Discrete mechanics - a general treatment. Zbl 0301.70006 LaBudde, Robert A.; Greenspan, Donald 38 1974 Discrete models. Zbl 0266.70002 Greenspan, Donald 35 1973 Mildly nonlinear elliptic partial differential equations and their numerical solution. II. Zbl 0135.38302 Greenspan, D.; Parter, S. V. 32 1965 Introductory numerical analysis of elliptic boundary value problems. (Harper’s Series in Modern Mathematics). Zbl 0132.36602 Greenspan, D. 30 1965 A numerical method for the exterior Dirichlet problem for the reduced wave equation. Zbl 0161.12701 Greenspan, D.; Werner, P. 24 1966 Numerical studies of steady, viscous, incompressible flow in a channel with a step. Zbl 0169.28206 Greenspan, D. 22 1969 Particle modeling. Zbl 0882.68154 Greenspan, Donald 20 1997 Numerical studies of prototype cavity flow problems. Zbl 0164.56102 Greenspan, D. 19 1969 Completely conservative, covariant numerical methodology. Zbl 0818.70005 Greenspan, D. 15 1995 An algebraic, energy conserving formulation of classical molecular and Newtonian \(n\)-body interaction. Zbl 0266.70004 Greenspan, Donald 13 1973 On approximating extremals of functionals. II: Theory and generalizations related to boundary value problems for nonlinear differential equations. Zbl 0171.13704 Greenspan, D. 13 1967 Numerical studies of flow between rotating coaxial disks. Zbl 0236.76032 Greenspan, Donald 12 1972 Numerical solution of a class of nonsteady cavity flow problems. Zbl 0179.56701 Greenspan, D. 12 1968 Arithmetic applied mathematics. Zbl 0439.70011 Greenspan, Donald 10 1980 Secondary flow in a curved tube. Zbl 0255.76033 Greenspan, D. 9 1973 Molecular and quasimolecular modelling of solids and fluids. Zbl 0754.65006 Greenspan, Donald 9 1991 An analysis of stress wave propagation in slender bars using a discrete particle approach. Zbl 0491.73099 Reeves, W. R.; Greenspan, D. 9 1982 Approximate solution of initial-boundary wave equation problems by boundary value techniques. Zbl 0176.15304 Greenspan, D. 9 1968 Numerical solution of the three dimensional, time dependent Navier-Stokes equations. Zbl 0553.76022 Bulgarelli, U.; Casulli, V.; Greenspan, D. 8 1984 Numerical studies of steady, viscous, incompressible flow between two rotating spheres. Zbl 0339.76017 Greenspan, Donald 8 1975 Computer-oriented mathematical physics. Zbl 0462.70001 Greenspan, Donald 7 1981 Fast finite-difference solution of biharmonic problems. Zbl 0234.65087 Greenspan, D.; Schultz, D. 7 1972 A new explicit discrete mechanics with applications. Zbl 0297.70012 Greenspan, Donald 7 1972 Computer studies in particle modelling of fluid phenomena. Zbl 0578.76005 Greenspan, Donald 6 1985 Numerical studies of the 3-body problem. Zbl 0232.70009 Greenspan, Donald 6 1971 An arithmetic, particle theory of fluid dynamics. Zbl 0282.76002 Greenspan, Donald 6 1974 Numerical approximation of periodic solutions of van der Pol’s equation. Zbl 0243.65054 Greenspan, Donald 6 1972 New forms of discrete mechanics. Zbl 0244.70002 Greenspan, Donald 6 1972 Discrete Newtonian gravitation and the N-body problem. Zbl 0256.70007 Greenspan, Donald 6 1972 A physically consistent, discrete n-body model. Zbl 0284.70007 Greenspan, Donald 5 1974 Introduction to numerical analysis and applications. Zbl 0208.39501 Greenspan, Donald 5 1971 On non-negative difference analogues of elliptic differential equations. Zbl 0213.42503 Greenspan, D.; Jain, P. C. 5 1965 A contribution to the particle modeling of soap films. Zbl 0651.65008 Coppin, C.; Greenspan, D. 5 1988 Numerical studies of two dimensional, steady state Navier-Stokes equations for arbitrary Reynolds number. Zbl 0198.59102 Greenspan, D. 5 1967 On a ”best” 9-point difference equation analogue of Laplace’s equation. Zbl 0085.11202 Greenspan, Donald 5 1957 A mathematical curiosity in estimating the radius of the first ring electrons of an arbitrary atom. Zbl 0589.65040 Greenspan, Donald 4 1986 Supercomputer simulation of liquid drop formation on a solid surface. Zbl 0729.76616 Greenspan, Donald 4 1991 N-body problems and models. Zbl 1063.70001 Greenspan, Donald 4 2004 Simplification and improvement of a numerical method for Navier-Stokes problems. Zbl 0363.76017 Greenspan, D.; Schultz, D. 4 1977 A classical molecular approach to computer simulation of biological sorting. Zbl 0455.92002 Greenspan, Donald 4 1981 Natural convection in an enclosure with localized heating from below. Zbl 0277.76085 Greenspan, D.; Schultz, D. 4 1974 The error in quasi-quantum mechanical calculations. Zbl 0743.65066 Greenspan, Donald 4 1991 Discrete, nonlinear string vibrations. Zbl 0188.58002 Greenspan, D. 4 1970 On a class of linear difference-integral equations. Zbl 0121.08902 Anselone, P. M.; Greenspan, D. 4 1963 Methods of matrix inversion. Zbl 0067.35404 Greenspan, Donald 4 1955 On the numerical solution of problems allowing mixed boundary conditions. Zbl 0141.13801 Greenspan, D. 4 1964 Application of a method for approximating extremals of functionals to compressible subsonic fluid flows. Zbl 0148.21101 Greenspan, D.; Jain, Padam 4 1967 Particle modelling of an elastic arch. Zbl 0582.73041 Greenspan, D.; Casulli, V. 3 1985 Conservative difference formulations of Calogero and Toda Hamiltonian systems. Zbl 0697.65065 Greenspan, D. 3 1990 Quasimolecular channel and vortex street modeling on a supercomputer. Zbl 0638.76025 Greenspan, D. 3 1988 Electron attraction and Newtonian methodology for approximating quantum mechanical phenomena. Zbl 0800.65002 Greenspan, Donald 3 1993 Computer studies of swirling particle fluids and the evolution of planetary-type bodies. Zbl 0386.76086 Greenspan, D.; Collier, J. 3 1978 N-body modeling of nonlinear, free surface liquid flow. Zbl 0433.76008 Greenspan, Donald 3 1980 New mathematical models of porous flow. Zbl 0425.76081 Greenspan, Donald 3 1980 Approximate solution of initial value problems for ordinary differential equations by boundary value techniques. Zbl 0208.41402 Greenspan, D. 3 1967 A discrete numerical approach to fluid dynamics. Zbl 0259.76017 Greenspan, Donald 3 1972 Supercomputer simulation of sessile and pendent drops. Zbl 0655.76078 Greenspan, D. 3 1988 Discrete modeling of minimal surfaces. Zbl 0515.65013 Coppin, C.; Greenspan, D. 3 1983 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 3 1966 On the approximate solution of elliptic differential equations with mixed partial derivatives. (MRC Technical Summary Report. Nr. 209). Zbl 0132.36603 Greenspan, D. 3 1960 Pressure methods for the numerical solution of free surface fluid flows. Zbl 0571.76001 Bulgarelli, Ulderico; Casulli, Vincenzo; Greenspan, Donald 2 1984 Quasi-molecular, particle modeling of crack generation and fracture. Zbl 0577.73096 Greenspan, Donald 2 1986 Supercomputer simulation of colliding microdrops of water. Zbl 0691.76115 Greenspan, D. 2 1990 Supercomputer studies in absolute minimization. Zbl 0712.65062 Greenspan, D. 2 1990 A particle model of fluid sloshing. Zbl 1129.76348 Greenspan, D. 2 2005 Computer study of a semiclassical model of the dynamical water molecule. Zbl 0800.81009 Greenspan, D. 2 1993 Microscopic turbulence in water. Zbl 0854.76043 Korzeniowski, A.; Greenspan, D. 2 1996 Arithmetic applied mathematics. Zbl 0365.70002 Greenspan, Donald 2 1977 Conservative motion of a discrete, hexahedral gyroscope. Zbl 0938.70002 Greenspan, Donald 2 1998 Computer studies of a von Neumann type fluid. Zbl 0377.76053 Greenspan, Donald 2 1978 Computer simulation of transverse string vibrations. Zbl 0229.70027 Greenspan, Donald 2 1971 Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Zbl 0258.76015 Greenspan, Donald 2 1973 Numerical studies of viscous, incompressible flow for arbitrary Reynolds number. Appendix: Programming viscous, incompressible flow problems. Zbl 0198.59201 Greenspan, D. 2 1968 Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Appendix: Programming orifice flow. Zbl 0198.59203 Greenspan, D. 2 1968 Numerical studies of prototype cavity flow problems. Appendix: CDC 3600 Fortran program for cavity flow problems. Zbl 0198.59204 Greenspan, D. 2 1968 An elementary algebraic method for approximating average radii of first and second ring electrons. Zbl 0611.65036 Greenspan, Donald 2 1986 Note on nine-point analogues of Laplace’s equation. Zbl 0085.11203 Greenspan, Donald 2 1957 On the approximate solution of a class of strongly elliptic linear differential equations. Zbl 0134.33003 Greenspan, D. 2 1961 Approximate solution of the exterior Dirichlet problem and the calculation of electrostatic capacity. Zbl 0173.44603 Greenspan, Donald; Silverman, Edward 2 1966 On the approximate solution of Dirichlet-type problems with singularities on the boundary. Zbl 0137.33401 Greenspan, D.; Warten, R. M. 2 1962 A new mathematical approach to biological cell rearrangement with application to the inversion of volvox. Zbl 0549.92002 Greenspan, Donald 1 1984 Supercomputer simulation of liquid drop formation, fall, and collision. Zbl 0696.76123 Greenspan, Donald 1 1989 Arbitrary order, Hamiltonian conserving numerical solutions of Calogero and Toda systems. Zbl 0734.65059 Marciniak, Andrzej; Greenspan, Donald 1 1991 Particle simulation of carbon dioxide bubbles in water. Zbl 0897.76073 Korlie, M. S.; Greenspan, D. 1 1997 Completely conservative, covariant numerical solution of systems of ordinary differential equations with applications. Zbl 0871.65060 Greenspan, Donald 1 1997 Completely conservative numerical methodology for \(N\)-body problems with distance-dependent potentials. Zbl 0836.70006 Greenspan, Donald 1 1993 Molecular and quasimolecular modelling of solids and fluids. Zbl 0800.82026 Greenspan, Donald 1 1993 Quasimolecular simulation of large liquid drops. Zbl 0686.76047 Greenspan, Donald 1 1990 Electron attraction and chemical bonding. Zbl 0972.92036 Greenspan, D. 1 1999 Studies in rapid kinetic reactions by quasi-quantum mechanical, conservative methodology. Zbl 0760.92024 Greenspan, Donald 1 1992 Dynamical difference equations. Zbl 0933.39035 Greenspan, D. 1 1998 On numerical treatment of free surfaces for incompressible fluid-flow problems. Zbl 0448.76028 Bulgarelli, U.; Casulli, V.; Greenspan, D. 1 1980 A particle model of the stefan problem. Zbl 0371.73004 Greenspan, Donald 1 1978 A particle model of fluid sloshing. Zbl 1129.76348 Greenspan, D. 2 2005 N-body problems and models. Zbl 1063.70001 Greenspan, Donald 4 2004 Electron attraction and the chemical bond. Zbl 0976.92034 Greenspan, D. 1 2001 Particle simulation in contact mechanics of a bouncing elastic ball. Zbl 0964.70003 Greenspan, D. 1 2000 Electron attraction and chemical bonding. Zbl 0972.92036 Greenspan, D. 1 1999 Conservative motion of a discrete, hexahedral gyroscope. Zbl 0938.70002 Greenspan, Donald 2 1998 Dynamical difference equations. Zbl 0933.39035 Greenspan, D. 1 1998 Dynamical simulation of the simplest hydrides. Zbl 0997.81618 Greenspan, D. 1 1998 Particle modeling. Zbl 0882.68154 Greenspan, Donald 20 1997 Particle simulation of carbon dioxide bubbles in water. Zbl 0897.76073 Korlie, M. S.; Greenspan, D. 1 1997 Completely conservative, covariant numerical solution of systems of ordinary differential equations with applications. Zbl 0871.65060 Greenspan, Donald 1 1997 A molecular mechanics-type approach to turbulence. Zbl 1185.76756 Greenspan, D. 1 1997 Microscopic turbulence in water. Zbl 0854.76043 Korzeniowski, A.; Greenspan, D. 2 1996 Completely conservative, covariant numerical methodology. Zbl 0818.70005 Greenspan, D. 15 1995 Numerical studies of microturbulence in water. Zbl 0818.76076 Korzeniowski, A.; Greenspan, D. 1 1995 Electron attraction and Newtonian methodology for approximating quantum mechanical phenomena. Zbl 0800.65002 Greenspan, Donald 3 1993 Computer study of a semiclassical model of the dynamical water molecule. Zbl 0800.81009 Greenspan, D. 2 1993 Completely conservative numerical methodology for \(N\)-body problems with distance-dependent potentials. Zbl 0836.70006 Greenspan, Donald 1 1993 Molecular and quasimolecular modelling of solids and fluids. Zbl 0800.82026 Greenspan, Donald 1 1993 Studies in rapid kinetic reactions by quasi-quantum mechanical, conservative methodology. Zbl 0760.92024 Greenspan, Donald 1 1992 Molecular and quasimolecular modelling of solids and fluids. Zbl 0754.65006 Greenspan, Donald 9 1991 Supercomputer simulation of liquid drop formation on a solid surface. Zbl 0729.76616 Greenspan, Donald 4 1991 The error in quasi-quantum mechanical calculations. Zbl 0743.65066 Greenspan, Donald 4 1991 Arbitrary order, Hamiltonian conserving numerical solutions of Calogero and Toda systems. Zbl 0734.65059 Marciniak, Andrzej; Greenspan, Donald 1 1991 Conservative difference formulations of Calogero and Toda Hamiltonian systems. Zbl 0697.65065 Greenspan, D. 3 1990 Supercomputer simulation of colliding microdrops of water. Zbl 0691.76115 Greenspan, D. 2 1990 Supercomputer studies in absolute minimization. Zbl 0712.65062 Greenspan, D. 2 1990 Quasimolecular simulation of large liquid drops. Zbl 0686.76047 Greenspan, Donald 1 1990 Supercomputer simulation of liquid drop formation, fall, and collision. Zbl 0696.76123 Greenspan, Donald 1 1989 Numerical analysis for applied mathematics, science, and engineering. Zbl 0658.65001 Greenspan, Donald; Casulli, Vincenzo 38 1988 A contribution to the particle modeling of soap films. Zbl 0651.65008 Coppin, C.; Greenspan, D. 5 1988 Quasimolecular channel and vortex street modeling on a supercomputer. Zbl 0638.76025 Greenspan, D. 3 1988 Supercomputer simulation of sessile and pendent drops. Zbl 0655.76078 Greenspan, D. 3 1988 Particle modeling of cavity flow on a vector computer. Zbl 0618.76002 Greenspan, Donald 1 1988 Particle modeling in science and technology. Zbl 0636.65137 Greenspan, Donald 1 1988 A mathematical curiosity in estimating the radius of the first ring electrons of an arbitrary atom. Zbl 0589.65040 Greenspan, Donald 4 1986 Quasi-molecular, particle modeling of crack generation and fracture. Zbl 0577.73096 Greenspan, Donald 2 1986 An elementary algebraic method for approximating average radii of first and second ring electrons. Zbl 0611.65036 Greenspan, Donald 2 1986 Computer studies in particle modelling of fluid phenomena. Zbl 0578.76005 Greenspan, Donald 6 1985 Particle modelling of an elastic arch. Zbl 0582.73041 Greenspan, D.; Casulli, V. 3 1985 Pressure method for the numerical solution of transient, compressible fluid flows. Zbl 0549.76050 Casulli, V.; Greenspan, D. 60 1984 Conservative numerical methods for \(\ddot x=f(x)\). Zbl 0561.65056 Greenspan, Donald 45 1984 Numerical solution of the three dimensional, time dependent Navier-Stokes equations. Zbl 0553.76022 Bulgarelli, U.; Casulli, V.; Greenspan, D. 8 1984 Pressure methods for the numerical solution of free surface fluid flows. Zbl 0571.76001 Bulgarelli, Ulderico; Casulli, Vincenzo; Greenspan, Donald 2 1984 A new mathematical approach to biological cell rearrangement with application to the inversion of volvox. Zbl 0549.92002 Greenspan, Donald 1 1984 Discrete modeling of minimal surfaces. Zbl 0515.65013 Coppin, C.; Greenspan, D. 3 1983 An analysis of stress wave propagation in slender bars using a discrete particle approach. Zbl 0491.73099 Reeves, W. R.; Greenspan, D. 9 1982 Computer-oriented mathematical physics. Zbl 0462.70001 Greenspan, Donald 7 1981 A classical molecular approach to computer simulation of biological sorting. Zbl 0455.92002 Greenspan, Donald 4 1981 A new computer-oriented approach to molecular mechanics. Zbl 0485.65083 Greenspan, Donald 1 1981 Arithmetic modeling in applied mathematics. Zbl 0443.70003 Greenspan, D. 39 1980 Arithmetic applied mathematics. Zbl 0439.70011 Greenspan, Donald 10 1980 N-body modeling of nonlinear, free surface liquid flow. Zbl 0433.76008 Greenspan, Donald 3 1980 New mathematical models of porous flow. Zbl 0425.76081 Greenspan, Donald 3 1980 On numerical treatment of free surfaces for incompressible fluid-flow problems. Zbl 0448.76028 Bulgarelli, U.; Casulli, V.; Greenspan, D. 1 1980 Computer studies of swirling particle fluids and the evolution of planetary-type bodies. Zbl 0386.76086 Greenspan, D.; Collier, J. 3 1978 Computer studies of a von Neumann type fluid. Zbl 0377.76053 Greenspan, Donald 2 1978 A particle model of the stefan problem. Zbl 0371.73004 Greenspan, Donald 1 1978 Simplification and improvement of a numerical method for Navier-Stokes problems. Zbl 0363.76017 Greenspan, D.; Schultz, D. 4 1977 Arithmetic applied mathematics. Zbl 0365.70002 Greenspan, Donald 2 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 45 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 44 1976 Numerical studies of steady, viscous, incompressible flow between two rotating spheres. Zbl 0339.76017 Greenspan, Donald 8 1975 Discrete numerical methods in physics and engineering. Zbl 0288.65001 Greenspan, Donald 39 1974 Discrete mechanics - a general treatment. Zbl 0301.70006 LaBudde, Robert A.; Greenspan, Donald 38 1974 An arithmetic, particle theory of fluid dynamics. Zbl 0282.76002 Greenspan, Donald 6 1974 A physically consistent, discrete n-body model. Zbl 0284.70007 Greenspan, Donald 5 1974 Natural convection in an enclosure with localized heating from below. Zbl 0277.76085 Greenspan, D.; Schultz, D. 4 1974 Discrete models. Zbl 0266.70002 Greenspan, Donald 35 1973 An algebraic, energy conserving formulation of classical molecular and Newtonian \(n\)-body interaction. Zbl 0266.70004 Greenspan, Donald 13 1973 Secondary flow in a curved tube. Zbl 0255.76033 Greenspan, D. 9 1973 Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Zbl 0258.76015 Greenspan, Donald 2 1973 Numerical studies of flow between rotating coaxial disks. Zbl 0236.76032 Greenspan, Donald 12 1972 Fast finite-difference solution of biharmonic problems. Zbl 0234.65087 Greenspan, D.; Schultz, D. 7 1972 A new explicit discrete mechanics with applications. Zbl 0297.70012 Greenspan, Donald 7 1972 Numerical approximation of periodic solutions of van der Pol’s equation. Zbl 0243.65054 Greenspan, Donald 6 1972 New forms of discrete mechanics. Zbl 0244.70002 Greenspan, Donald 6 1972 Discrete Newtonian gravitation and the N-body problem. Zbl 0256.70007 Greenspan, Donald 6 1972 A discrete numerical approach to fluid dynamics. Zbl 0259.76017 Greenspan, Donald 3 1972 Numerical studies of the 3-body problem. Zbl 0232.70009 Greenspan, Donald 6 1971 Introduction to numerical analysis and applications. Zbl 0208.39501 Greenspan, Donald 5 1971 Computer simulation of transverse string vibrations. Zbl 0229.70027 Greenspan, Donald 2 1971 New forms of discrete mechanics. Zbl 0229.70016 Greenspan, Donald 1 1971 Discrete, nonlinear string vibrations. Zbl 0188.58002 Greenspan, D. 4 1970 Numerical studies of steady, viscous, incompressible flow in a channel with a step. Zbl 0169.28206 Greenspan, D. 22 1969 Numerical studies of prototype cavity flow problems. Zbl 0164.56102 Greenspan, D. 19 1969 Numerical solution of a class of nonsteady cavity flow problems. Zbl 0179.56701 Greenspan, D. 12 1968 Approximate solution of initial-boundary wave equation problems by boundary value techniques. Zbl 0176.15304 Greenspan, D. 9 1968 Numerical studies of viscous, incompressible flow for arbitrary Reynolds number. Appendix: Programming viscous, incompressible flow problems. Zbl 0198.59201 Greenspan, D. 2 1968 Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Appendix: Programming orifice flow. Zbl 0198.59203 Greenspan, D. 2 1968 Numerical studies of prototype cavity flow problems. Appendix: CDC 3600 Fortran program for cavity flow problems. Zbl 0198.59204 Greenspan, D. 2 1968 Discrete mechanics. Zbl 0195.54402 Greenspan, Donald 1 1968 On approximating extremals of functionals. II: Theory and generalizations related to boundary value problems for nonlinear differential equations. Zbl 0171.13704 Greenspan, D. 13 1967 Numerical studies of two dimensional, steady state Navier-Stokes equations for arbitrary Reynolds number. Zbl 0198.59102 Greenspan, D. 5 1967 Application of a method for approximating extremals of functionals to compressible subsonic fluid flows. Zbl 0148.21101 Greenspan, D.; Jain, Padam 4 1967 Approximate solution of initial value problems for ordinary differential equations by boundary value techniques. Zbl 0208.41402 Greenspan, D. 3 1967 A numerical method for the exterior Dirichlet problem for the reduced wave equation. Zbl 0161.12701 Greenspan, D.; Werner, P. 24 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 3 1966 Approximate solution of the exterior Dirichlet problem and the calculation of electrostatic capacity. Zbl 0173.44603 Greenspan, Donald; Silverman, Edward 2 1966 On difference approximations with positive coefficients for general linear elliptic operators. Zbl 0161.35902 Greenspan, D.; Jain, P. C. 1 1966 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 690 Authors 89 Greenspan, Donald 16 Dumbser, Michael 14 Betsch, Peter 10 Schultz, David H. 9 Mohanty, Ranjan Kumar 8 Casulli, Vincenzo 8 Yavin, Yaakov 7 Cieśliński, Jan L. 7 Elenin, G. G. 7 Romero, Ignacio 6 Busto, Saray 6 Elenina, T. G. 6 Gotusso, Laura 6 Ishihara, Kazuo 6 Marciniak, Andrzej 6 Pao, Chia-Ven 6 Tavelli, Maurizio 5 Herbin, Raphaèle 5 Jelenić, Gordan 5 Kadalbajoo, Mohan K. 5 Korlie, Mark S. 5 Nave, Jean-Christophe 5 Wan, Andy T. S. 4 Boscheri, Walter 4 Evans, David John 4 Franke, Marlon 4 Friedman, Menahem 4 Frontini, Marco 4 Gallouët, Thierry 4 Gupta, Murli M. 4 Jain, Mahinder Kumar 4 LaBudde, Robert A. 4 Latché, Jean-Claude 4 Manohar, Ram P. 4 Parter, Seymour V. 4 Simo, Juan Carlos 4 Steinmann, Paul 4 Wang, Yuanming 3 Bharadwaj, Kamal K. 3 Bihlo, Alexander 3 Bulgarelli, Ulderico 3 Cerimele, Maria Mercede 3 Cheng, Ralph Ta-shun 3 Choo, Joshua Y. 3 Dennis, S. C. R. 3 Ezquerro, José Antonio 3 Furihata, Daisuke 3 George, Kochurani 3 Gross, Michael B. 3 Ha, Sung Nam 3 Hernández-Verón, Miguel Ángel 3 Jain, Padam C. 3 Janz, Alexander 3 Klein, Rupert 3 Maltese, David 3 Morgul, Omer 3 Río-Martín, Laura 3 Russo, Giovanni 3 Schiebl, Mark 3 Smith, Frank T. 3 Tamma, Kumar K. 3 Zhou, Xiangmin 2 Abdullah, Abdul Rahman Bin 2 Ahmad, Daud 2 Ahner, John F. 2 Amodio, Pierluigi 2 Amore, Paolo 2 Barrett, Kenneth E. 2 Berger, Stanley A. 2 Bochkov, Daniil 2 Bonaventura, Luca 2 Boscarino, Sebastiano 2 Boyarsky, Abraham 2 Chen, Ren-Chuen 2 Ciarlet, Philippe Gaston 2 Crisfield, Michael A. 2 Daniel, James W. 2 Das, Abhijit 2 Dellacherie, Stéphane 2 Dorr, Fred W. 2 Fambri, Francesco 2 García Orden, Juan Carlos 2 Gibou, Frédéric 2 Góra, Paweł 2 Guan, Jiashen 2 Har, Jason 2 Hariharan, S. I. 2 Heard, Melvin L. 2 Hoitink, Andrew 2 Hsiao, George Chia-Chu 2 Ide, Takanori 2 Ingham, Derek Binns 2 Ioriatti, Matteo 2 Ishimori, Yuji 2 Kannan, Rangachary 2 Kim, Pilwon 2 Kocamustafaogullari, Gunol 2 Korzeniowski, Andrzej 2 Koßmann, Heinz 2 Krenk, Steen ...and 590 more Authors all top 5 Cited in 139 Serials 62 Journal of Computational Physics 57 Computers & Mathematics with Applications 41 Computer Methods in Applied Mechanics and Engineering 33 Applied Mathematics and Computation 24 Journal of Computational and Applied Mathematics 20 Computers and Fluids 19 Numerische Mathematik 18 International Journal for Numerical Methods in Engineering 16 Applied Mathematical Modelling 14 Journal of Mathematical Analysis and Applications 14 Mathematical and Computer Modelling 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 Physics Letters. A 7 Mathematics of Computation 7 Computing 7 Numerical Algorithms 6 International Journal of Engineering Science 6 Journal of Engineering Mathematics 6 Physica D 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Mathematics and Computers in Simulation 5 Journal of Scientific Computing 5 Differential Equations 4 International Journal of Mathematical Education in Science and Technology 4 Computational Mechanics 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 General Systems 3 International Journal of Theoretical Physics 3 BIT 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Numerical Analysis 3 Japan Journal of Industrial and Applied Mathematics 3 SIAM Journal on Scientific Computing 3 Journal of Difference Equations and Applications 3 ZAMM. 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Nordisk Tidskrift for Informationsbehandling 2 Communications in Computational Physics 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 Mathematical Methods in the Applied Sciences 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 Journal of Complexity 1 Journal of Computer Science and Technology 1 Sugaku Expositions 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 SIAM Journal on Applied Mathematics 1 Computers and Mathematics with Applications. Part B 1 Celestial Mechanics and Dynamical Astronomy ...and 39 more Serials all top 5 Cited in 35 Fields 324 Numerical analysis (65-XX) 192 Fluid mechanics (76-XX) 123 Partial differential equations (35-XX) 82 Mechanics of particles and systems (70-XX) 60 Mechanics of deformable solids (74-XX) 59 Ordinary differential equations (34-XX) 35 Dynamical systems and ergodic theory (37-XX) 22 Statistical mechanics, structure of matter (82-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Quantum theory (81-XX) 13 Computer science (68-XX) 12 Systems theory; control (93-XX) 11 Optics, electromagnetic theory (78-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Integral equations (45-XX) 7 Geophysics (86-XX) 7 Biology and other natural sciences (92-XX) 6 Difference and functional equations (39-XX) 6 Operations research, mathematical programming (90-XX) 5 Potential theory (31-XX) 5 Differential geometry (53-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Astronomy and astrophysics (85-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 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Approximations and expansions (41-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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