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 · dblp · GND Documents Indexed: 176 Publications since 1955, including 24 Books 3 Contributions as Editor Co-Authors: 16 Co-Authors with 28 Joint Publications 135 Co-Co-Authors all top 5 Co-Authors 143 single-authored 8 Casulli, Vincenzo 4 Bulgarelli, Ulderico 4 LaBudde, Robert A. 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 817 times in 544 Documents Cited by ▼ Year ▼ Pressure method for the numerical solution of transient, compressible fluid flows. Zbl 0549.76050Casulli, V.; Greenspan, D. 49 1984 Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. I: Motion of a single particle. Zbl 0364.65066LaBudde, Robert A.; Greenspan, Donald 39 1976 Arithmetic modeling in applied mathematics. Zbl 0443.70003Greenspan, D. 39 1980 Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. II: Motion of a system of particles. Zbl 0382.65031LaBudde, Robert A.; Greenspan, Donald 37 1976 Numerical analysis for applied mathematics, science, and engineering. Zbl 0658.65001Greenspan, Donald; Casulli, Vincenzo 36 1988 Discrete numerical methods in physics and engineering. Zbl 0288.65001Greenspan, Donald 35 1974 Conservative numerical methods for \(\ddot x=f(x)\). Zbl 0561.65056Greenspan, Donald 35 1984 Discrete mechanics - a general treatment. Zbl 0301.70006LaBudde, Robert A.; Greenspan, Donald 34 1974 Discrete models. Zbl 0266.70002Greenspan, Donald 31 1973 Mildly nonlinear elliptic partial differential equations and their numerical solution. II. Zbl 0135.38302Greenspan, D.; Parter, S. V. 31 1965 Introductory numerical analysis of elliptic boundary value problems. (Harper’s Series in Modern Mathematics). Zbl 0132.36602Greenspan, D. 27 1965 A numerical method for the exterior Dirichlet problem for the reduced wave equation. Zbl 0161.12701Greenspan, D.; Werner, P. 21 1966 Numerical studies of steady, viscous, incompressible flow in a channel with a step. Zbl 0169.28206Greenspan, D. 20 1969 Particle modeling. Zbl 0882.68154Greenspan, Donald 17 1997 Numerical studies of prototype cavity flow problems. Zbl 0164.56102Greenspan, D. 17 1969 Completely conservative, covariant numerical methodology. Zbl 0818.70005Greenspan, D. 15 1995 An algebraic, energy conserving formulation of classical molecular and Newtonian \(n\)-body interaction. Zbl 0266.70004Greenspan, Donald 12 1973 Numerical solution of a class of nonsteady cavity flow problems. Zbl 0179.56701Greenspan, D. 12 1968 On approximating extremals of functionals. II: Theory and generalizations related to boundary value problems for nonlinear differential equations. Zbl 0171.13704Greenspan, D. 11 1967 Numerical studies of flow between rotating coaxial disks. Zbl 0236.76032Greenspan, Donald 11 1972 Arithmetic applied mathematics. Zbl 0439.70011Greenspan, Donald 10 1980 Molecular and quasimolecular modelling of solids and fluids. Zbl 0754.65006Greenspan, Donald 9 1991 An analysis of stress wave propagation in slender bars using a discrete particle approach. Zbl 0491.73099Reeves, W. R.; Greenspan, D. 9 1982 Approximate solution of initial-boundary wave equation problems by boundary value techniques. Zbl 0176.15304Greenspan, D. 9 1968 Numerical solution of the three dimensional, time dependent Navier-Stokes equations. Zbl 0553.76022Bulgarelli, U.; Casulli, V.; Greenspan, D. 8 1984 Computer-oriented mathematical physics. Zbl 0462.70001Greenspan, Donald 7 1981 Secondary flow in a curved tube. Zbl 0255.76033Greenspan, D. 7 1973 Numerical studies of steady, viscous, incompressible flow between two rotating spheres. Zbl 0339.76017Greenspan, Donald 7 1975 Discrete Newtonian gravitation and the N-body problem. Zbl 0256.70007Greenspan, Donald 6 1972 Fast finite-difference solution of biharmonic problems. Zbl 0234.65087Greenspan, D.; Schultz, D. 6 1972 An arithmetic, particle theory of fluid dynamics. Zbl 0282.76002Greenspan, Donald 5 1974 A physically consistent, discrete n-body model. Zbl 0284.70007Greenspan, Donald 5 1974 A new explicit discrete mechanics with applications. Zbl 0297.70012Greenspan, Donald 5 1972 Numerical studies of two dimensional, steady state Navier-Stokes equations for arbitrary Reynolds number. Zbl 0198.59102Greenspan, D. 5 1967 A contribution to the particle modeling of soap films. Zbl 0651.65008Coppin, C.; Greenspan, D. 5 1988 Introduction to numerical analysis and applications. Zbl 0208.39501Greenspan, Donald 5 1971 On non-negative difference analogues of elliptic differential equations. Zbl 0213.42503Greenspan, D.; Jain, P. C. 5 1965 On a ”best” 9-point difference equation analogue of Laplace’s equation. Zbl 0085.11202Greenspan, Donald 5 1957 Computer studies in particle modelling of fluid phenomena. Zbl 0578.76005Greenspan, Donald 5 1985 Numerical approximation of periodic solutions of van der Pol’s equation. Zbl 0243.65054Greenspan, Donald 5 1972 New forms of discrete mechanics. Zbl 0244.70002Greenspan, Donald 5 1972 Simplification and improvement of a numerical method for Navier-Stokes problems. Zbl 0363.76017Greenspan, D.; Schultz, D. 4 1977 N-body problems and models. Zbl 1063.70001Greenspan, Donald 4 2004 The error in quasi-quantum mechanical calculations. Zbl 0743.65066Greenspan, Donald 4 1991 Supercomputer simulation of liquid drop formation on a solid surface. Zbl 0729.76616Greenspan, Donald 4 1991 A classical molecular approach to computer simulation of biological sorting. Zbl 0455.92002Greenspan, Donald 4 1981 Natural convection in an enclosure with localized heating from below. Zbl 0277.76085Greenspan, D.; Schultz, D. 4 1974 On a class of linear difference-integral equations. Zbl 0121.08902Anselone, P. M.; Greenspan, D. 4 1963 On the approximate solution of elliptic differential equations with mixed partial derivatives. (MRC Technical Summary Report. Nr. 209). Zbl 0132.36603Greenspan, D. 4 1960 On the numerical solution of problems allowing mixed boundary conditions. Zbl 0141.13801Greenspan, D. 4 1964 Application of a method for approximating extremals of functionals to compressible subsonic fluid flows. Zbl 0148.21101Greenspan, D.; Jain, Padam 4 1967 Methods of matrix inversion. Zbl 0067.35404Greenspan, Donald 4 1955 A mathematical curiosity in estimating the radius of the first ring electrons of an arbitrary atom. Zbl 0589.65040Greenspan, Donald 4 1986 Numerical studies of the 3-body problem. Zbl 0232.70009Greenspan, Donald 4 1971 Electron attraction and Newtonian methodology for approximating quantum mechanical phenomena. Zbl 0800.65002Greenspan, Donald 3 1993 Discrete modeling of minimal surfaces. Zbl 0515.65013Coppin, C.; Greenspan, D. 3 1983 Computer studies of swirling particle fluids and the evolution of planetary-type bodies. Zbl 0386.76086Greenspan, D.; Collier, J. 3 1978 New mathematical models of porous flow. Zbl 0425.76081Greenspan, Donald 3 1980 N-body modeling of nonlinear, free surface liquid flow. Zbl 0433.76008Greenspan, Donald 3 1980 Quasimolecular channel and vortex street modeling on a supercomputer. Zbl 0638.76025Greenspan, D. 3 1988 Approximate solution of initial value problems for ordinary differential equations by boundary value techniques. Zbl 0208.41402Greenspan, D. 3 1967 Conservative difference formulations of Calogero and Toda Hamiltonian systems. Zbl 0697.65065Greenspan, D. 3 1990 Supercomputer simulation of sessile and pendent drops. Zbl 0655.76078Greenspan, D. 3 1988 Microscopic turbulence in water. Zbl 0854.76043Korzeniowski, A.; Greenspan, D. 2 1996 Computer study of a semiclassical model of the dynamical water molecule. Zbl 0800.81009Greenspan, D. 2 1993 Computer studies of a von Neumann type fluid. Zbl 0377.76053Greenspan, Donald 2 1978 A particle model of fluid sloshing. Zbl 1129.76348Greenspan, D. 2 2005 On the approximate solution of a class of strongly elliptic linear differential equations. Zbl 0134.33003Greenspan, D. 2 1961 On the approximate solution of Dirichlet-type problems with singularities on the boundary. Zbl 0137.33401Greenspan, D.; Warten, R. M. 2 1962 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 2 1966 Approximate solution of the exterior Dirichlet problem and the calculation of electrostatic capacity. Zbl 0173.44603Greenspan, Donald; Silverman, Edward 2 1966 Discrete, nonlinear string vibrations. Zbl 0188.58002Greenspan, D. 2 1970 Numerical studies of viscous, incompressible flow for arbitrary Reynolds number. Appendix: Programming viscous, incompressible flow problems. Zbl 0198.59201Greenspan, D. 2 1968 Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Appendix: Programming orifice flow. Zbl 0198.59203Greenspan, D. 2 1968 Numerical studies of prototype cavity flow problems. Appendix: CDC 3600 Fortran program for cavity flow problems. Zbl 0198.59204Greenspan, D. 2 1968 An elementary algebraic method for approximating average radii of first and second ring electrons. Zbl 0611.65036Greenspan, Donald 2 1986 Conservative motion of a discrete, hexahedral gyroscope. Zbl 0938.70002Greenspan, Donald 2 1998 Note on nine-point analogues of Laplace’s equation. Zbl 0085.11203Greenspan, Donald 2 1957 Pressure methods for the numerical solution of free surface fluid flows. Zbl 0571.76001Bulgarelli, Ulderico; Casulli, Vincenzo; Greenspan, Donald 2 1984 Particle modelling of an elastic arch. Zbl 0582.73041Greenspan, D.; Casulli, V. 2 1985 Supercomputer simulation of colliding microdrops of water. Zbl 0691.76115Greenspan, D. 2 1990 Supercomputer studies in absolute minimization. Zbl 0712.65062Greenspan, D. 2 1990 Arithmetic applied mathematics. Zbl 0365.70002Greenspan, Donald 1 1977 A particle model of the stefan problem. Zbl 0371.73004Greenspan, Donald 1 1978 Completely conservative, covariant numerical solution of systems of ordinary differential equations with applications. Zbl 0871.65060Greenspan, Donald 1 1997 Molecular and quasimolecular modelling of solids and fluids. Zbl 0800.82026Greenspan, Donald 1 1993 Electron attraction and the chemical bond. Zbl 0976.92034Greenspan, D. 1 2001 Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Zbl 0258.76015Greenspan, Donald 1 1973 Arbitrary order, Hamiltonian conserving numerical solutions of Calogero and Toda systems. Zbl 0734.65059Marciniak, Andrzej; Greenspan, Donald 1 1991 Dynamical simulation of the simplest hydrides. Zbl 0997.81618Greenspan, D. 1 1998 On numerical treatment of free surfaces for incompressible fluid-flow problems. Zbl 0448.76028Bulgarelli, U.; Casulli, V.; Greenspan, D. 1 1980 A new computer-oriented approach to molecular mechanics. Zbl 0485.65083Greenspan, Donald 1 1981 Particle simulation of carbon dioxide bubbles in water. Zbl 0897.76073Korlie, M. S.; Greenspan, D. 1 1997 A discrete numerical approach to fluid dynamics. Zbl 0259.76017Greenspan, Donald 1 1972 A molecular mechanics-type approach to turbulence. Zbl 1185.76756Greenspan, D. 1 1997 Introduction to partial differential equations. Zbl 0105.29603Greenspan, Donald 1 1961 On the approximate solution of \(\Delta u =F(u)\). Zbl 0117.11205Greenspan, D.; Yohe, M. 1 1963 Approximate solution of axially symmetric problems. Zbl 0133.38702Greenspan, D. 1 1964 On difference approximations with positive coefficients for general linear elliptic operators. Zbl 0161.35902Greenspan, D.; Jain, P. C. 1 1966 Discrete mechanics. Zbl 0195.54402Greenspan, Donald 1 1968 A particle model of fluid sloshing. Zbl 1129.76348Greenspan, D. 2 2005 N-body problems and models. Zbl 1063.70001Greenspan, Donald 4 2004 Electron attraction and the chemical bond. Zbl 0976.92034Greenspan, D. 1 2001 Particle simulation in contact mechanics of a bouncing elastic ball. Zbl 0964.70003Greenspan, D. 1 2000 Electron attraction and chemical bonding. Zbl 0972.92036Greenspan, D. 1 1999 Conservative motion of a discrete, hexahedral gyroscope. Zbl 0938.70002Greenspan, Donald 2 1998 Dynamical simulation of the simplest hydrides. Zbl 0997.81618Greenspan, D. 1 1998 Dynamical difference equations. Zbl 0933.39035Greenspan, D. 1 1998 Particle modeling. Zbl 0882.68154Greenspan, Donald 17 1997 Completely conservative, covariant numerical solution of systems of ordinary differential equations with applications. Zbl 0871.65060Greenspan, Donald 1 1997 Particle simulation of carbon dioxide bubbles in water. Zbl 0897.76073Korlie, M. S.; Greenspan, D. 1 1997 A molecular mechanics-type approach to turbulence. Zbl 1185.76756Greenspan, D. 1 1997 Microscopic turbulence in water. Zbl 0854.76043Korzeniowski, A.; Greenspan, D. 2 1996 Completely conservative, covariant numerical methodology. Zbl 0818.70005Greenspan, D. 15 1995 Numerical studies of microturbulence in water. Zbl 0818.76076Korzeniowski, A.; Greenspan, D. 1 1995 Electron attraction and Newtonian methodology for approximating quantum mechanical phenomena. Zbl 0800.65002Greenspan, Donald 3 1993 Computer study of a semiclassical model of the dynamical water molecule. Zbl 0800.81009Greenspan, D. 2 1993 Molecular and quasimolecular modelling of solids and fluids. Zbl 0800.82026Greenspan, Donald 1 1993 Completely conservative numerical methodology for \(N\)-body problems with distance-dependent potentials. Zbl 0836.70006Greenspan, Donald 1 1993 Studies in rapid kinetic reactions by quasi-quantum mechanical, conservative methodology. Zbl 0760.92024Greenspan, Donald 1 1992 Molecular and quasimolecular modelling of solids and fluids. Zbl 0754.65006Greenspan, Donald 9 1991 The error in quasi-quantum mechanical calculations. Zbl 0743.65066Greenspan, Donald 4 1991 Supercomputer simulation of liquid drop formation on a solid surface. Zbl 0729.76616Greenspan, Donald 4 1991 Arbitrary order, Hamiltonian conserving numerical solutions of Calogero and Toda systems. Zbl 0734.65059Marciniak, Andrzej; Greenspan, Donald 1 1991 Conservative difference formulations of Calogero and Toda Hamiltonian systems. Zbl 0697.65065Greenspan, D. 3 1990 Supercomputer simulation of colliding microdrops of water. Zbl 0691.76115Greenspan, D. 2 1990 Supercomputer studies in absolute minimization. Zbl 0712.65062Greenspan, D. 2 1990 Quasimolecular simulation of large liquid drops. Zbl 0686.76047Greenspan, Donald 1 1990 Supercomputer simulation of liquid drop formation, fall, and collision. Zbl 0696.76123Greenspan, Donald 1 1989 Numerical analysis for applied mathematics, science, and engineering. Zbl 0658.65001Greenspan, Donald; Casulli, Vincenzo 36 1988 A contribution to the particle modeling of soap films. Zbl 0651.65008Coppin, C.; Greenspan, D. 5 1988 Quasimolecular channel and vortex street modeling on a supercomputer. Zbl 0638.76025Greenspan, D. 3 1988 Supercomputer simulation of sessile and pendent drops. Zbl 0655.76078Greenspan, D. 3 1988 Particle modeling of cavity flow on a vector computer. Zbl 0618.76002Greenspan, Donald 1 1988 Particle modeling in science and technology. Zbl 0636.65137Greenspan, Donald 1 1988 A mathematical curiosity in estimating the radius of the first ring electrons of an arbitrary atom. Zbl 0589.65040Greenspan, Donald 4 1986 An elementary algebraic method for approximating average radii of first and second ring electrons. Zbl 0611.65036Greenspan, Donald 2 1986 Quasi-molecular, particle modeling of crack generation and fracture. Zbl 0577.73096Greenspan, Donald 1 1986 Computer studies in particle modelling of fluid phenomena. Zbl 0578.76005Greenspan, Donald 5 1985 Particle modelling of an elastic arch. Zbl 0582.73041Greenspan, D.; Casulli, V. 2 1985 Pressure method for the numerical solution of transient, compressible fluid flows. Zbl 0549.76050Casulli, V.; Greenspan, D. 49 1984 Conservative numerical methods for \(\ddot x=f(x)\). Zbl 0561.65056Greenspan, Donald 35 1984 Numerical solution of the three dimensional, time dependent Navier-Stokes equations. Zbl 0553.76022Bulgarelli, U.; Casulli, V.; Greenspan, D. 8 1984 Pressure methods for the numerical solution of free surface fluid flows. Zbl 0571.76001Bulgarelli, Ulderico; Casulli, Vincenzo; Greenspan, Donald 2 1984 A new mathematical approach to biological cell rearrangement with application to the inversion of volvox. Zbl 0549.92002Greenspan, Donald 1 1984 Discrete modeling of minimal surfaces. Zbl 0515.65013Coppin, C.; Greenspan, D. 3 1983 An analysis of stress wave propagation in slender bars using a discrete particle approach. Zbl 0491.73099Reeves, W. R.; Greenspan, D. 9 1982 Computer-oriented mathematical physics. Zbl 0462.70001Greenspan, Donald 7 1981 A classical molecular approach to computer simulation of biological sorting. Zbl 0455.92002Greenspan, Donald 4 1981 A new computer-oriented approach to molecular mechanics. Zbl 0485.65083Greenspan, Donald 1 1981 Arithmetic modeling in applied mathematics. Zbl 0443.70003Greenspan, D. 39 1980 Arithmetic applied mathematics. Zbl 0439.70011Greenspan, Donald 10 1980 New mathematical models of porous flow. Zbl 0425.76081Greenspan, Donald 3 1980 N-body modeling of nonlinear, free surface liquid flow. Zbl 0433.76008Greenspan, Donald 3 1980 On numerical treatment of free surfaces for incompressible fluid-flow problems. Zbl 0448.76028Bulgarelli, U.; Casulli, V.; Greenspan, D. 1 1980 Computer studies of swirling particle fluids and the evolution of planetary-type bodies. Zbl 0386.76086Greenspan, D.; Collier, J. 3 1978 Computer studies of a von Neumann type fluid. Zbl 0377.76053Greenspan, Donald 2 1978 A particle model of the stefan problem. Zbl 0371.73004Greenspan, Donald 1 1978 Simplification and improvement of a numerical method for Navier-Stokes problems. Zbl 0363.76017Greenspan, D.; Schultz, D. 4 1977 Arithmetic applied mathematics. Zbl 0365.70002Greenspan, Donald 1 1977 Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. I: Motion of a single particle. Zbl 0364.65066LaBudde, Robert A.; Greenspan, Donald 39 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 0382.65031LaBudde, Robert A.; Greenspan, Donald 37 1976 Numerical studies of steady, viscous, incompressible flow between two rotating spheres. Zbl 0339.76017Greenspan, Donald 7 1975 Discrete numerical methods in physics and engineering. Zbl 0288.65001Greenspan, Donald 35 1974 Discrete mechanics - a general treatment. Zbl 0301.70006LaBudde, Robert A.; Greenspan, Donald 34 1974 An arithmetic, particle theory of fluid dynamics. Zbl 0282.76002Greenspan, Donald 5 1974 A physically consistent, discrete n-body model. Zbl 0284.70007Greenspan, Donald 5 1974 Natural convection in an enclosure with localized heating from below. Zbl 0277.76085Greenspan, D.; Schultz, D. 4 1974 Discrete models. Zbl 0266.70002Greenspan, Donald 31 1973 An algebraic, energy conserving formulation of classical molecular and Newtonian \(n\)-body interaction. Zbl 0266.70004Greenspan, Donald 12 1973 Secondary flow in a curved tube. Zbl 0255.76033Greenspan, D. 7 1973 Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Zbl 0258.76015Greenspan, Donald 1 1973 Numerical studies of flow between rotating coaxial disks. Zbl 0236.76032Greenspan, Donald 11 1972 Discrete Newtonian gravitation and the N-body problem. Zbl 0256.70007Greenspan, Donald 6 1972 Fast finite-difference solution of biharmonic problems. Zbl 0234.65087Greenspan, D.; Schultz, D. 6 1972 A new explicit discrete mechanics with applications. Zbl 0297.70012Greenspan, Donald 5 1972 Numerical approximation of periodic solutions of van der Pol’s equation. Zbl 0243.65054Greenspan, Donald 5 1972 New forms of discrete mechanics. Zbl 0244.70002Greenspan, Donald 5 1972 A discrete numerical approach to fluid dynamics. Zbl 0259.76017Greenspan, Donald 1 1972 Introduction to numerical analysis and applications. Zbl 0208.39501Greenspan, Donald 5 1971 Numerical studies of the 3-body problem. Zbl 0232.70009Greenspan, Donald 4 1971 New forms of discrete mechanics. Zbl 0229.70016Greenspan, Donald 1 1971 Computer simulation of transverse string vibrations. Zbl 0229.70027Greenspan, Donald 1 1971 Discrete, nonlinear string vibrations. Zbl 0188.58002Greenspan, D. 2 1970 Numerical studies of steady, viscous, incompressible flow in a channel with a step. Zbl 0169.28206Greenspan, D. 20 1969 Numerical studies of prototype cavity flow problems. Zbl 0164.56102Greenspan, D. 17 1969 Numerical solution of a class of nonsteady cavity flow problems. Zbl 0179.56701Greenspan, D. 12 1968 Approximate solution of initial-boundary wave equation problems by boundary value techniques. Zbl 0176.15304Greenspan, D. 9 1968 Numerical studies of viscous, incompressible flow for arbitrary Reynolds number. Appendix: Programming viscous, incompressible flow problems. Zbl 0198.59201Greenspan, D. 2 1968 Numerical studies of viscous, incompressible flow through an orifice for arbitrary Reynolds number. Appendix: Programming orifice flow. Zbl 0198.59203Greenspan, D. 2 1968 Numerical studies of prototype cavity flow problems. Appendix: CDC 3600 Fortran program for cavity flow problems. Zbl 0198.59204Greenspan, D. 2 1968 Discrete mechanics. Zbl 0195.54402Greenspan, Donald 1 1968 On approximating extremals of functionals. II: Theory and generalizations related to boundary value problems for nonlinear differential equations. Zbl 0171.13704Greenspan, D. 11 1967 Numerical studies of two dimensional, steady state Navier-Stokes equations for arbitrary Reynolds number. Zbl 0198.59102Greenspan, D. 5 1967 Application of a method for approximating extremals of functionals to compressible subsonic fluid flows. Zbl 0148.21101Greenspan, D.; Jain, Padam 4 1967 Approximate solution of initial value problems for ordinary differential equations by boundary value techniques. Zbl 0208.41402Greenspan, D. 3 1967 A numerical method for the exterior Dirichlet problem for the reduced wave equation. Zbl 0161.12701Greenspan, D.; Werner, P. 21 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 2 1966 Approximate solution of the exterior Dirichlet problem and the calculation of electrostatic capacity. Zbl 0173.44603Greenspan, Donald; Silverman, Edward 2 1966 On difference approximations with positive coefficients for general linear elliptic operators. Zbl 0161.35902Greenspan, D.; Jain, P. C. 1 1966 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 614 Authors 87 Greenspan, Donald 14 Dumbser, Michael 10 Schultz, David H. 8 Betsch, Peter 8 Casulli, Vincenzo 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 6 Romero, Ignacio 5 Jelenić, Gordan 5 Kadalbajoo, Mohan K. 5 Nave, Jean-Christophe 5 Tavelli, Maurizio 5 Wan, Andy T. S. 4 Busto, Saray 4 Evans, David John 4 Friedman, Menahem 4 Frontini, Marco 4 Herbin, Raphaèle 4 Korlie, Mark S. 4 LaBudde, Robert A. 4 Latché, Jean-Claude 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 Ezquerro, José Antonio 3 Gallouët, Thierry 3 George, Kochurani 3 Gupta, Murli M. 3 Ha, Sung Nam 3 Hernández-Verón, Miguel Ángel 3 Manohar, Ram P. 3 Morgul, Omer 3 Russo, Giovanni 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 Boscheri, Walter 2 Boyarsky, Abraham 2 Chen, Ren-Chuen 2 Ciarlet, Philippe Gaston 2 Crisfield, Michael A. 2 Daniel, James W. 2 Dellacherie, Stéphane 2 Dennis, S. C. R. 2 Dorr, Fred W. 2 Fambri, Francesco 2 Furihata, Daisuke 2 Gibou, Frédéric 2 Góra, Paweł 2 Gross, Michael B. 2 Har, Jason 2 Heard, Melvin L. 2 Hoitink, Andrew 2 Hsiao, George Chia-Chu 2 Ide, Takanori 2 Ingham, Derek Binns 2 Ioriatti, Matteo 2 Kannan, Rangachary 2 Kim, Pilwon 2 Klein, Rupert 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 McLeod, John Bryce 2 Mickens, Ronald Elbert 2 Miller, R. H. 2 Minesaki, Yukitaka 2 Munz, Claus-Dieter 2 Nakamura, Yoshimasa 2 Nigro, Nicholas J. ...and 514 more Authors all top 5 Cited in 130 Serials 52 Computers & Mathematics with Applications 44 Journal of Computational Physics 38 Computer Methods in Applied Mechanics and Engineering 31 Applied Mathematics and Computation 23 Journal of Computational and Applied Mathematics 19 Numerische Mathematik 17 Computers and Fluids 15 Applied Mathematical Modelling 14 Journal of Mathematical Analysis and Applications 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 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 Physics Letters. A 4 Mathematics and Computers in Simulation 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 Engineering Science 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 Journal of Scientific Computing 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 Automatica 2 Calcolo 2 Mathematische Zeitschrift 2 Optimal Control Applications & Methods 2 Applied Mathematics and Mechanics. (English Edition) 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 SIAM Journal on Scientific Computing 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 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 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 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 SIAM Journal on Applied Mathematics 1 Computers and Mathematics with Applications. Part B 1 Celestial Mechanics and Dynamical Astronomy 1 Cybernetics and Systems Analysis 1 Russian Mathematics 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) ...and 30 more Serials all top 5 Cited in 35 Fields 292 Numerical analysis (65-XX) 168 Fluid mechanics (76-XX) 111 Partial differential equations (35-XX) 75 Mechanics of particles and systems (70-XX) 51 Ordinary differential equations (34-XX) 48 Mechanics of deformable solids (74-XX) 33 Dynamical systems and ergodic theory (37-XX) 20 Statistical mechanics, structure of matter (82-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Quantum theory (81-XX) 13 Computer science (68-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Systems theory; control (93-XX) 8 Integral equations (45-XX) 8 Optics, electromagnetic theory (78-XX) 6 Geophysics (86-XX) 6 Biology and other natural sciences (92-XX) 5 Difference and functional equations (39-XX) 5 Differential geometry (53-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 Operator theory (47-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 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