Robert E. Kalaba — Publications
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Some aspects of nonlinear allocation processes
2004
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An Initial Value Method for Dual Integral Equations with Bessel Function Kernels.
1975
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New Methods for Atmospheric Temperature Inversion.
1975
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A Cauchy System for a Class of Nonlinear Fredholm Integral Equations.
1970
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A Proposal for the Calculation of Characteristic Functions for Certain Differential and Integral Operators via Initial-Value Procedures.
1970
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Application of Invariant Imbedding to the Eigenvalue Problems for Buckling of Columns
1969
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A Cauchy Method for an Integral Equation of Linearized Couette Flow
1969
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Direct Derivation of the Invariant Imbedding Equations for Beams from a Variational Principle.
1969
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Equivalence Relationships Between Diffuse Radiation Fields for Finite Slabs Bounded by a Perfect Specular Reflector and a Perfect Absorber.
1969
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Estimating the Parameters of an Inhomogeneous Medium by Probing with Rays.
1969
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External Radiation Fields for Isotropically Scattering Finite Atmospheres Bounded by a Lambert Law Reflector
1969
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The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Displacement Kernels.
1969
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Newton's Method for the Nonlinear Integral Equation for the H Function of Isotropic Scattering.
1969
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Optimal Trajectories for Quadratic Variational Processes Via Invariant Imbedding.
1969
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Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels — I
1969
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Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels — II
1969
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Source Functions for an Isotropically Scattering Atmosphere Bounded by a Specular Reflector.
1969
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A Cauchy Problem for Fredholm Integral Equations with Kernels of the Form k1(/t-y/) + k2(t+y).
1968
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Computation of the Resolvent for the Auxiliary Equation of Radiative Transfer.
1968
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Derivation and Validation of an Initial-Value Method for Certain Nonlinear Two-Point Boundary-Value Problems.
1968
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Dynamic Programming and Optimal Trajectories for Quadratic Variational Processes.
1968
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Dynamic Programming, Invariant Imbedding, and Thin Beam Theory.
1968
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Flux Equivalences Among Rayleigh, Isotropic, and Other Scattering Models.
1968
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Initial-Value Methods for Integral Equations Arising in Theories of the Solar Atmosphere.
1968
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An Initial-Value Theory for Fredholm Integral Equations with Semidegenerate Kernels.
1968
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Invariant Imbedding and a Class of Variational Problems
1968
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Invariant Imbedding and Fredholm Integral Equations with Displacement Kernels on an Infinite Interval.
1968
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Invariant Imbedding and Fredholm Integral Equations with Pincherle-Goursat Kernels.
1968
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Invariant Imbedding and the Variational Treatment of Fredholm Integral Equations with Displacement Kernels
1968
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The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Degenerate Kernels.
1968
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The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Semidegenerate Kernels.
1968
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A New Predictor-Corrector Method for Quasilinear First-Order Partial Differential Equations.
1968
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Reflection and Transmission Functions for Finite Isotropically Scattering Atmospheres with Specular Reflectors.
1968
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Variational Equations for Certain Homogeneous and Inhomogeneous Linear Systems
1968
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Verification of the Invariant Imbedding Method for Certain Fredholm Integral Equations.
1968
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Chandrasekhar's Planetary Problem with Internal Sources.
1967
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Differential Systems for Eigenvalues of Fredholm Integral Equations.
1967
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Direct and Inverse Problems for Integral Equations via Initial-Value Methods.
1967
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The Equivalence of the Isotropic and Monodirectional Source Problems.
1967
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Evaluation of Functionals of Solutions of Fredholm Integral Equations with Displacement Kernels.
1967
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Fitting Functional Equations to Experimental Data.
1967
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An Initial-value Method for Fredholm Integral Equations with Degenerate Kernels.
1967
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An Initial-value Method for Fredholm Integral Equations with Displacement Kernels: Reflection Functions
1967
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An Initial-value Method for General Fredholm Integral Equations.
1967
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An Initial-value Method Suitable for the Computation of Certain Fredholm Resolvents.
1967
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The invariant imbedding equations for the dissipation functions of an inhomogenous finite slab with anisotropic scattering [by] R. Bellman [and others]
1967
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Multiple Anisotropic Scattering in Slabs with Axially Symmetric Fields.
1967
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A new approach to the auxiliary equation with application to the Greenhouse effect
1967
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A New Derivation of the Integro-Differential Equations for Chandrasekhar's X and Y Functions
1967
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A Practical Method for Determining Green's Functions Using Hadamard's Variational Formula.
1967
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A Representation for the Solution of Fredholm Integral Equations.
1967
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Verification of an Approximate Formula for Multiple Scattering of Slow Electrons.
1967
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The calculation of Sobelev's [phi] function of radiative transfer via numerical inversion of Laplace transforms
1966
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A computational approach to Chandrasekhar's planetary problem
1966
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Diffuse transmission of light from a central source through an inhomogeneous spherical shell with isotropic scattering
1966
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Estimation of local anisotropic scattering properties using measurements of multiply scattered radiation
1966
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An initial value method for Fredholm integral equations of a convolution type
1966
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Initial value methods for the basic boundary value problem and integral equation of radiative transfer
1966
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A new initial value method for internal intensities in radiative transfer
1966
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Numerical inversion of Laplace transforms and some inverse problems in radiative transfer
1966
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Numerical results for internal intensities in atmospheres illuminated by isotropic sources
1966
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Numerical Results for the Estimation of Source Distributions from External Radiation Field Measurements
1966
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On the Computational Solution of an Equation Arising in Chemotherapy Using Numerical Inversion of the Laplace Transform.
1966
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On the identification of systems and the unscrambling of data—III: One-dimensional wave and diffusion processes [by] R. Bellman [and others]
1966
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A proposed computational method for estimation of orbital elements, drag coefficents and potential field parameters from satellite measurements. I Introduction
1966
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Quasilinearization and inverse problems for Lanchester equations of conflict
1966
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Quasilinearization and the Estimation of Time Lags
1966
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Some numerical aspects of unstable boundary-value problems
1966
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Time-dependent diffuse reflection from slabs with multiple scattering
1966
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Alternative techniques for the invariant imbedding of rarefied couette flows
1965
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Analytical and computational techniques for multiple scattering in inhomogeneous slabs
1965
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Computational Results for Diffuse Transmission and Reflection for Homogeneous Finite Slabs with Isotropic Scattering.
1965
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Computational Solution of Radiative Transfer Problems in Cloud Physics
1965
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Dynamic programming and an inverse problem in neutron transport theory
1965
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Estimation of internal source distributions using external field measurements in radiative transfer
1965
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Invariant imbedding and a reformulation of the internal intensity problem in transport theory
1965
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Invariant imbedding and nonvariational principles in analytical dynamics
1965
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Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shells
1965
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Invariant imbedding and the computation of internal fields for transport processes
1965
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Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations
1965
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Inverse Problems in Ecology
1965
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Mathematical experimentation in time-lag modulation
1965
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Numerical results for Chandrasekhar's X and Y functions of radiative transfer
1965
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Numerical results for the auxiliary equation of radiative transfer
1965
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On a new approach to the numerical solution of a class of partial differential integral equations of transport theory
1965
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Quasilinearization and nonlinear boundary-value problems
1965
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Quasilinearization and the estimation of chemical rate constants from raw kinetic data [by] R. Bellman [and others]
1965
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Quasilinearization, invariant imbedding, and the calculation of eigenvalues
1965
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Abstraction and Pattern Classification
1964
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Application of a New Approach to the Computational Solution of a System of Two Non-linear Partial Differential Equations.
1964
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Dynamic Programming and Ill-Conditioned Linear Systems-II.
1964
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Dynamic programming, invariant imbedding and quasilinearization: comparisons and interconnections
1964
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Estimation of Heart Parameters Using Skin Potential Measurements.
1964
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Identification of linear systems via numerical inversion of Laplace transforms
1964
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Invariant Imbedding and a Resolvent of the Photon-Diffusion Equation
1964
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Invariant Imbedding and Nonlinear Filtering Theory
1964
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Invariant Imbedding and Scattering of Light in a One-Dimensional Medium with a Moving Boundary.
1964
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Invariant imbedding and time-dependent transport processes
1964
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Invariant Imbedding and Time-Dependent Transport Processes-Diffuse Reflection with Delta-Function Input
1964
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Inverse Problems in Radiative Transfer: Layered Media
1964
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Nonlinear extrapolation and two-point boundary value problems
1964
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Numerical integration of a differential-difference equation with a decreasing time-lag
1964
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Numerical Solution of Functional Equations by Means of Laplace Transform—III: The Diffusion Equation
1964
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Numerical Solution of Functional Equations by Means of Laplace Transform--IV : Nonlinear Equations.
1964
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Numerical Solution of Functional Equations by Means of Laplace Transform—V: Mismatched Systems of Linear Differential Equations
1964
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Numerical Solution of Functional Equations by Means of Laplace Transform—VI: Stochastic Time-Optimal Control
1964
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Numerical Solution of Functional Equations by Means of Laplace Transform—VIII: Determination of Weighting Functions
1964
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Numerical Studies of a Two-Point Nonlinear Boundary Value Problem Using Dynamic Programming, Invariant Imbedding, and Quasilinearization
1964
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On the Identification of Systems and the Unscrambling of Data--I: Hidden Periodicities.
1964
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On the identification of systems and the unscrambling of Data—II: An inverse problem in radiative transfer
1964
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Quasilinearization, Boundary-Value Problems and Linear Programming.
1964
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Sensitivity analysis and invariant imbedding
1964
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Wengert's Numerical Method for Partial Derivatives, Orbit Determination, and Quasilinearization.
1964
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Differential Approximation Applied to the Solution of Convolution Equations.
1963
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Dynamic programming and ill-conditioned linear systems
1963
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Graph Theory and Automatic Control.
1963
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Invariant Imbedding and Rarefied Gas Dynamics.
1963
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Invariant Imbedding and the Analysis of Processes.
1963
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Invariant Imbedding and the Integration of Hamilton's Equations
1963
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An Inverse Problem in Dynamic Programming and Automatic Control.
1963
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A mathematical model of drug distribution in the body; implications for cancer chemotherapy [by] Richard Bellman [and others]
1963
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A Note on Nonlinear Summability Techniques in Invariant Imbedding.
1963
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Numerical inversion of the Laplace transform
1963
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Numerical Solution of Functional Equations by Means of Laplace Transform—II: Differential-Difference Equations
1963
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Numerical Solution of Functional Equations by Means of Laplace Transform--I : Renewal Equation.
1963
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Plant Modernization under Conditions of Competition and Technological Improvement.
1963
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Quasilinearization, system identification and prediction
1963
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Dynamic Programming Applied to Control Processes Governed by General Functional Equations.
1962
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Invariant Imbedding and Diffuse Reflection from a Two-Dimensional Flat Layer
1962
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Invariant Imbedding and Diffuse Reflection of Radiation Due to a Distributed Point Source--I and II.
1962
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Invariant Imbedding and Diffuse Reflection of Radiation from a Collimated Point Source--III.
1962
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Invariant Imbedding and Noncoherent Scattering in a Finite, Inhomogeneous Atmosphere.
1962
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Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness.
1962
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Invariant Imbedding and the Townsend Avalanche
1962
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Invariant Imbedding and Time-Dependent Diffuse Reflection by a Finite Inhomogeneous Flat Layer
1962
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Modern mathematics, magical computers, and a cornucopia of applications: Polynomial approximation and the computational solution of dynamic programming problems
1962
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Modern mathematics, magical computers, and a cornucopia of applications: Quasilinearization or two-point boundary-value problems made easy
1962
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Modern mathematics, magical computers, and a cornucopia of applications: Stochastic control processes or button, button, who's got the button
1962
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Modern mathematics, magical computers, and a cornucopia of applications: Neutron transport theory or building reactors for fun and profit
1962
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Modern mathematics, magical computers, and a cornucopia of applications: Computational solution of nonlinear boundary value problems via quasilinearization
1962
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Modern mathematics, magical computers, and a cornucopia of applications: Saving computer storage or look, Ma, no memory!
1962
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A Note on Hamilton's Equations and Invariant Imbedding.
1962
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On a New Approach to the Computational Solution of Partial Differential Equations
1962
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On the Diffuse Reflection of Parallel Rays by an Inhomogeneous Flat Layer as a Limiting Process
1962
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Orbit Determination as a Multipoint Boundary Value Problem and Quasilinearization
1962
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Polynomial approximation: a new computational technique in dynamic programming—I: Allocation processes
1962
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Applications of dynamic programming to space guidance, satellites, and trajectories.
1961
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Computational Considerations for Some Deterministic and Adaptive Control Processes.
1961
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Design of minimal weight structures for given reliability and cost.
1961
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Dynamic programming and the variational principles of classical and statistical mechanics.
1961
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Interrupted Stochastic Control Processes.
1961
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Mathematical aspects of adaptive control.
1961
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On a new computational solution of time-dependent processes-I: a one-dimensional case.
1961
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Some Aspects of Quasilinearization
1961
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Dynamic programming, Fermat's principle, and the eikonal equation.
1960
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Dynamic programming, sequential estimation, and sequential detection processes.
1960
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Invariant imbedding and mathematical physics--I: particle processes.
1960
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On kth best policies.
1960
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Reduction of dimensionality, dynamic programming, and control processes.
1960
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Some Mathematical Aspects of Optimal Predation in Ecology and Boviculture.
1960
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Some mathematical aspects of optimization problems in engineering.
1960
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Dynamic Programming and Adaptive Processes — I: Mathematical Foundation
1959
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Dynamic Programming and Feedback Control
1959
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Invariant imbedding and neutron transport in a rod of changing length.
1959
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Invariant imbedding, random walk, and scattering-II: discrete versions.
1959
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A mathematical theory of adaptive control processes.
1959
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On control of reactor shutdown involving minimal xenon poisoning.
1959
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Some aspects of adaptive control processes.
1959
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Some mathematical aspects of chemotherapy-I: one-organ models.
1959
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Transport theory and invariant imbedding.
1959
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The distribution of a drug in the body.
1958
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Functional equations, wave propagation, and invariant imbedding.
1958
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Invariant imbedding and neutron transport theory--II: functional equations.
1958
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Invariant imbedding and wave propagation in stochastic media.
1958
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Invariant Imbedding and Wave Propagation in Stochastic Media
1958
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On an application of dynamic programming to the synthesis of logical systems.
1958
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On communication processes involving learning and random duration.
1958
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On control of reactor shut-down involving minimal xenon poisoning.
1958
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Some applications of dynamic programming to communication and information theory.
1958
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General Systems Approaches to Telecommunication Optimization.
1957
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Invariant imbedding, wave propagation, and the WKB approximation.
1957
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A note on preventative sampling.
1957
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On Nonlinear Differential Equations, the Maximum Operation, and Monotone Convergence
1957
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On weighted PCM and mean square deviation.
1957
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Random walk, scattering, and invariant imbedding --I: one-dimensional discrete case.
1957
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On the Role of Dynamic Programming in Statistical Communication Theory.
1956
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Optimal Utilization and Extension of Interoffice Trunking Facilities.
1956
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A Simple Derivation of the Poisson Distribution.
1953
