Subseries II.1: Cosmology
Subseries II.2: Dynamics of Galaxies: General
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Galactic Dynamics
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Gravitational slab problem
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One-dimensional self-gravitating gas
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Time dependent one-dimensional stellar system
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Self consistent galaxy models (axisymmetric)
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Instability of rings (of mass)
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Computer simulation of galactic evolution
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Stochastic star formation in disk galaxies (mathematical description of a game theory)
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Stellar dynamics with star formation
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"Oseen" approximation based on streamlines, etc.
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Theoretical studies of M101
Subseries II.3: Dynamics of Galaxies: Spiral Galaxies
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Linear spiral structure
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Stability of spiral arm shocks
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Thin gas disk: asymptotic theory of spiral arms (warped disk as finite system of coupled rings)
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Spiral Arm Problems: Linblad Resonance
Subseries II.4: Dynamics of Galaxies: Barred Spiral Galaxies
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Barred Spirals, [1974?]
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Barred Spirals
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Barred spiral galaxies (I, II, III, IV, V, VI, VII, VIII), (1960s, 1970s)
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Barred spiral galaxies—some plots & shock waves in barred spiral galaxies
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Barred spirals Roche modes
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Gradient wind approximation
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Potential of oblate spheroid
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Symmetry properties
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Theoretical studies of gas flow in barred spiral galaxies
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Barred spiral shocks
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Barred spiral galaxies: material for a talk based on a paper on "Theoretical studies of gas flows in barred spiral galaxies" by K. Prendergast
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Barred spiral galaxies [talk], Yale, 1978
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Talk given by Kevin Prendergast on barred spiral galaxies, 1982
Subseries II.5: Dynamics of Galaxies: Dwarf Elliptical Galaxies (and Elliptical Galaxies)
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Dwarf elliptical galaxies--analytical approximation (two-fluid with gravity)
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Two-fluid spherical models
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Analytic approximation, two-fluid with gravity
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Modeling the formation of elliptical and dwarf galaxies using a spheroidal two-fluid system with self-gravity
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Numerical Simulations of the Formation of Dwarf Ellipticals (I,II, III, IV, V)
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Marseille collaboration papers (published)
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Marseille
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Marseille
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Marseille
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Marseille
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Marseille
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Marseille numerical simulation results and some theoretical analysis of those models
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Marseille numerical simulations
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Marseille numerical simulations
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Marseille numerical simulations
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Marseille numerical simulation results performed at Marseille Observatory, France (collaborators Lia Athanassoula et al.), 1988
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Numerical models (including programs) and results for one-dimensional two-fluid (Cartesian grid) and Marseille models
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Dwarf galaxies formation models (Marseille 1994) and other numerical modeling results (including programs)
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Various numerical simulation results of the Marseille collaboration [mostly in the form of diagrams]
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Marseille Observatory simulation results used for Columbia Astrofest talk, 1996
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Dwarf elliptical galaxy formation, talk given at Columbia, 1990
Subseries II.6: Dynamics of Galaxies: Star-Gas Interactions in Galaxies
Subseries II.7: Star Clusters
Subseries II.8: Accretion Disks
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X-ray generation in accretion disk in binary systems, gas streams in close binary systems
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Binary Stellar Systems
Subseries II.9: Asteroid
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Asteroid, 1950s
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Rotating asteroid, 1950s
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Rotating asteroid (I, II, III, IV, V), 1950
Subseries II.10: Few- and N-body Problems, and Celestial Mechanics
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Statistics of the gravitational three- and four-body problems
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Statistics of three-body problem
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N-body problem, 1970
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Large N problems (N-particle systems)
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N-Body, NYU, 1980
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Celestial mechanics I
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Celestial mechanics II
Subseries II.11: Hydrodynamics, Astrophysical Fluid Dynamics, and Gas-Kinetic Theory
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A series of analytic studies (notebooks I-VI) on hydrodynamics, as moment equations of the Boltzmann equation
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Singularities of one dimensional hydrodynamic system using pseudo Liouville equation
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Gravity in the BGK scheme for hydrodynamics
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Solution of the Krook equation at shock
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Collisional hydrodynamic scheme (CHS)—theoretical derivation of the method
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Radial flow
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Wave-driven winds—several manuscripts
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Breaking waves, 1984
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Nonlinear convection, [1980s?]
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Nonlinear convection—rational approximation, [1981?]
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Turbulence sphere, 1970s
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Angular momentum (of turbulent fluid)
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Hydrodynamics—variational principle
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Burger's equation
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Burger's equation—singularities (inviscid)
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Burger's equation—two-dimensional inviscid
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Burger's equation with viscosity and potential
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Burger's equation (two-dimensional inviscid)—singularities (talk given at Columbia)
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Gas Kinetic Theory in General (including Radiative Transfer)
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Hydrodynamics in General
Subseries II.12: Magnetohydrodynamics
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Hydromagnetic similarity solutions I, 1975
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Hydromagnetic similarity solutions II
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Axisymmetric time-dependent self-similar force-free fields
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Force-free fields (axisymmetric)
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Hamiltonian system (H=1⁄2(X.2+Y.2+X2+Y2)+X2Y)
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Variational principle for Hamiltonian systems and vanishing Henyey determinant, [1980s?]
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Duffing equation
Box 29
Duffing with driving
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Duffing equation: NR correction
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Duffing, van der Pol—high order approximation (rational approximation, [1980s?]
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Van der Pol oscillator, [1980s?]
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Van der Pol oscillator
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Hamilton-Jacobi equation
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Fourier-Pade (x..+x7=0), higher order correction
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Fourier-Pade equation
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Fourier Pade equation ( (x..+x3=0), higher order correction
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Fourier-Pade integration
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Pade: 2D: ordinary differential equations of higher order, 1D: quadratic, etc.
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Mathieu equation
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Mathieu equation: two-point approximation
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kdV equation with implicit function
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Liouville equation
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Liouville equation (Woods Hole), 1969
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Eckonal equation
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Rational approximation near w=0 (potential maximum)
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Rational-function orbits
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Rational approximation for a Hamiltonian system
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Rational approximation for non-linear ordinary differential equations
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"N/D"—rational approximation
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Discussion on the paper "Rational Approximations for a Hamiltonian System"
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Non-linear approximation: general discussions
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Non-linear approximation for ordinary differential equation
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Non-linear approximation for periodic orbits in a Hamiltonian System
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Non-linear oscillations
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Non-linear dynamics
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Singular point approximation—solution of D.E. at an assumed pole, [1980s?]
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Singularities and bifurcation
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(Equation) periodic solutions
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Bifurcation and vanishing of Henyey matrix and other difference equations
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"Implicit" form of solutions to ordinary difference equations
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Difference equations with noise
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Stretched coordinate systems
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Miscellaneous
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Talk on Non-linear mechanics (Fourier-Pade), New York University
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Numerical hydrodynamics: beam schemes
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Beam scheme
Box 33
Continuous beam scheme
Box 33
Three-dimensional axisymmetric cylindrical beam scheme with body force
Box 34
Numerical Hydrodyamics from gas-kinetic theory
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Numerical Navier-Stokes solution from gas-kinetic theory-K Xu, and K Prendergast
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Numerical Navier-Stokes solution from gas-kinetic theory—Kun Xu and Kevin Prendergast
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Paper II: final copy
Box 34
Paper II: KX and KHP Navier-Stokes Paper
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Applied Math Seminar Notes (non-linear equations)
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Numerical Hydro-Spare
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Miscellaneous notes on non-linear dynamics and hydrodynamics Codes
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Difference scheme from Hamiltonian principle
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Talk given at Supercomputer Conference, Santa Clara, 1989
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Numerical hydrodynamics—talks at, Woods Hole & Columbia University, 7/25/2000 & 9/27/2000
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Applied Math Seminar Notes (non-linear equations)
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KHP Bibliography
Box 37
Reprints of K Prendergast
Box 37
Marseille Collaboration Papers
Box 37
Prendergast, Kevin On the color-magnitude diagram of the globular cluster Centauri, 1954, Ph.D. thesis
Box 38
Some published papers related to two-fluid model for stars and gas in galaxies
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Nature of some X-Ray sources, 1968
Box 38
Some published papers of galactic dynamics
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Preprints of various published papers by K. Prendergast
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University of Paris symposium on numerical simulation of formation and evolution of elliptical galaxies
Box 38
Tsiang, Eugene Yu-Kong The accretion disk model of X-ray stars, Columbia University, 1977, Ph.D. thesis
Box 38
Numerical hydrodynamic solutions based on BGK
Box 39
Xu, Kun Numerical hydrodynamics from gas-kinetic theory, Columbia University, [n.d.], Ph.D. thesis
Box 39
Gravitational potential of a disk spiral galaxy—B. Barbanis and K. Prendergast
Box 39
Time-Independent Gravitational Fields in the BGK Scheme for Hydrodynamics (Slyz, Prendergast)
Subseries VIII.1: Graduate School Courses (developed by K. Prendergast)
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Mechanics (Vol I, II)
Box 39
Classical mechanics
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Basic astronomical data
Box 40
Contemporary Astrophysics
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Astrophysics
Box 40
Astrophysics II
Box 40
Special relativity
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Relativity, gravitation, and black holes
Box 40
Radiation transfer
Box 40
Gas stream in close binary systems
Box 40
Galactic dynamics
Box 40
Galactic accretion
Box 41
Introduction to Stellar Evolution
Box 41
Electromagnetic theory
Box 41
Statistical Mechanics and Thermodynamics
Box 41
Statistical Mechanics
Box 41
Prendergast Lectures for Correction, Jan 10, 1969
Box 41
Statistical Mechanics
Box 41
Continuum Physics, Fall 78
Box 41
Hydro Course notes
Box 41
Classical Theory of Radiation I
Box 41
Classical Theory of Radiation II
Subseries VIII.2: Lecture notes on undergraduate courses
Box 41
Special relativity
Subseries VIII.3: Lecture notes on graduate school courses (developed by others)
Box 41
Galactic dynamics (by L. Woltijer)
Box 42
Quantum Mechanics
Box 42
Electromagnetic theory
Box 42
Classical mechanics
Box 42
GNRI—Generalized Newton-Raphson code for boundary value problem developed by Norman Baker