Robert E. Kalaba

Some aspects of nonlinear allocation processes - 2004

An Initial Value Method for Dual Integral Equations with Bessel Function Kernels. - 1975

New Methods for Atmospheric Temperature Inversion. - 1975

A Cauchy System for a Class of Nonlinear Fredholm Integral Equations. - 1970

A Proposal for the Calculation of Characteristic Functions for Certain Differential and Integral Operators via Initial-Value Procedures. - 1970

A Cauchy Method for an Integral Equation of Linearized Couette Flow. - 1969

Application of Invariant Imbedding to the Eigenvalue Problems for Buckling of Columns. - 1969

Direct Derivation of the Invariant Imbedding Equations for Beams from a Variational Principle. - 1969

Equivalence Relationships Between Diffuse Radiation Fields for Finite Slabs Bounded by a Perfect Specular Reflector and a Perfect Absorber. - 1969

Estimating the Parameters of an Inhomogeneous Medium by Probing with Rays. - 1969

External Radiation Fields for Isotropically Scattering Finite Atmospheres Bounded by a Lambert Law Reflector - 1969

Newton's Method for the Nonlinear Integral Equation for the H Function of Isotropic Scattering. - 1969

Optimal Trajectories for Quadratic Variational Processes Via Invariant Imbedding. - 1969

Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels--I. - 1969

Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels--II. - 1969

Source Functions for an Isotropically Scattering Atmosphere Bounded by a Specular Reflector. - 1969

The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Displacement Kernels. - 1969

A Cauchy Problem for Fredholm Integral Equations with Kernels of the Form k1(/t-y/) + k2(t+y). - 1968

A New Predictor-Corrector Method for Quasilinear First-Order Partial Differential Equations. - 1968

An Initial-Value Theory for Fredholm Integral Equations with Semidegenerate Kernels. - 1968

Computation of the Resolvent for the Auxiliary Equation of Radiative Transfer. - 1968

Derivation and Validation of an Initial-Value Method for Certain Nonlinear Two-Point Boundary-Value Problems. - 1968

Dynamic Programming and Optimal Trajectories for Quadratic Variational Processes. - 1968

Dynamic Programming, Invariant Imbedding, and Thin Beam Theory. - 1968

Flux Equivalences Among Rayleigh, Isotropic, and Other Scattering Models. - 1968

Initial-Value Methods for Integral Equations Arising in Theories of the Solar Atmosphere. - 1968

Invariant Imbedding and Fredholm Integral Equations with Displacement Kernels on an Infinite Interval. - 1968

Invariant Imbedding and Fredholm Integral Equations with Pincherle-Goursat Kernels. - 1968

Invariant Imbedding and a Class of Variational Problems. - 1968

Invariant Imbedding and the Variational Treatment of Fredholm Integral Equations with Displacement Kernels. - 1968

Reflection and Transmission Functions for Finite Isotropically Scattering Atmospheres with Specular Reflectors. - 1968

The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Degenerate Kernels. - 1968

The Invariant Imbedding Numerical Method for Fredholm Integral Equations with Semidegenerate Kernels. - 1968

Variational Equations for Certain Homogeneous and Inhomogeneous Linear Systems. - 1968

Verification of the Invariant Imbedding Method for Certain Fredholm Integral Equations. - 1968

A New Derivation of the Integro-Differential Equations for Chandrasekhar's X and Y Functions - 1967

A Practical Method for Determining Green's Functions Using Hadamard's Variational Formula. - 1967

A Representation for the Solution of Fredholm Integral Equations. - 1967

A new approach to the auxiliary equation with application to the Greenhouse effect - 1967

An Initial-value Method Suitable for the Computation of Certain Fredholm Resolvents. - 1967

An Initial-value Method for Fredholm Integral Equations with Degenerate Kernels. - 1967

An Initial-value Method for Fredholm Integral Equations with Displacement Kernels : Reflection Functions. - 1967

An Initial-value Method for General Fredholm Integral Equations. - 1967

Chandrasekhar's Planetary Problem with Internal Sources. - 1967

Differential Systems for Eigenvalues of Fredholm Integral Equations. - 1967

Direct and Inverse Problems for Integral Equations via Initial-Value Methods. - 1967

Evaluation of Functionals of Solutions of Fredholm Integral Equations with Displacement Kernels. - 1967

Fitting Functional Equations to Experimental Data. - 1967

Multiple Anisotropic Scattering in Slabs with Axially Symmetric Fields. - 1967

The Equivalence of the Isotropic and Monodirectional Source Problems. - 1967

The invariant imbedding equations for the dissipation functions of an inhomogenous finite slab with anisotropic scattering [by] R. Bellman [and others] - 1967

Verification of an Approximate Formula for Multiple Scattering of Slow Electrons. - 1967

A computational approach to Chandrasekhar's planetary problem - 1966

A new initial value method for internal intensities in radiative transfer - 1966

A proposed computational method for estimation of orbital elements, drag coefficents and potential field parameters from satellite measurements. I Introduction - 1966

An initial value method for Fredholm integral equations of a convolution type - 1966

Diffuse transmission of light from a central source through an inhomogeneous spherical shell with isotropic scattering - 1966

Estimation of local anisotropic scattering properties using measurements of multiply scattered radiation - 1966

Initial value methods for the basic boundary value problem and integral equation of radiative transfer - 1966

Numerical Results for the Estimation of Source Distributions from External Radiation Field Measurements - 1966

Numerical inversion of Laplace transforms and some inverse problems in radiative transfer - 1966

Numerical results for internal intensities in atmospheres illuminated by isotropic sources - 1966

On the Computational Solution of an Equation Arising in Chemotherapy Using Numerical Inversion of the Laplace Transform. - 1966

On the identification of systems and the unscrambling of data-III: one-dimensional wave and diffusion processes [by] R. Bellman [and others] - 1966

Quasilinearization and inverse problems for Lanchester equations of conflict - 1966

Quasilinearization and the estimation of time lags - 1966

Some numerical aspects of unstable boundary-value problems - 1966

The calculation of Sobelev's [phi] function of radiative transfer via numerical inversion of Laplace transforms - 1966

Time-dependent diffuse reflection from slabs with multiple scattering - 1966

Alternative techniques for the invariant imbedding of rarefied couette flows - 1965

Analytical and computational techniques for multiple scattering in inhomogeneous slabs - 1965

Computational Results for Diffuse Transmission and Reflection for Homogeneous Finite Slabs with Isotropic Scattering. - 1965

Computational Solution of Radiative Transfer Problems in Cloud Physics - 1965

Dynamic programming and an inverse problem in neutron transport theory - 1965

Estimation of internal source distributions using external field measurements in radiative transfer - 1965

Invariant imbedding and a reformulation of the internal intensity problem in transport theory - 1965

Invariant imbedding and nonvariational principles in analytical dynamics - 1965

Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shells - 1965

Invariant imbedding and the computation of internal fields for transport processes - 1965

Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations - 1965

Inverse Problems in Ecology - 1965

Mathematical experimentation in time-lag modulation - 1965

Numerical results for Chandrasekhar's X and Y functions of radiative transfer - 1965

Numerical results for the auxiliary equation of radiative transfer - 1965

On a new approach to the numerical solution of a class of partial differential integral equations of transport theory - 1965

Quasilinearization and nonlinear boundary-value problems - 1965

Quasilinearization and the estimation of chemical rate constants from raw kinetic data [by] R. Bellman [and others] - 1965

Quasilinearization, invariant imbedding, and the calculation of eigenvalues - 1965

Abstraction and Pattern Classification - 1964

Application of a New Approach to the Computational Solution of a System of Two Non-linear Partial Differential Equations. - 1964

Dynamic Programming and Ill-Conditioned Linear Systems-II. - 1964

Dynamic programming, invariant imbedding and quasilinearization: comparisons and interconnections - 1964

Estimation of Heart Parameters Using Skin Potential Measurements. - 1964

Identification of linear systems via numerical inversion of Laplace transforms - 1964

Invariant Imbedding and Nonlinear Filtering Theory - 1964

Invariant Imbedding and Scattering of Light in a One-Dimensional Medium with a Moving Boundary. - 1964

Invariant Imbedding and Time-Dependent Transport Processes-Diffuse Reflection with Delta-Function Input - 1964

Invariant Imbedding and a Resolvent of the Photon-Diffusion Equation - 1964

Invariant imbedding and time-dependent transport processes - 1964

Inverse Problems in Radiative Transfer: Layered Media - 1964

Nonlinear extrapolation and two-point boundary value problems - 1964

Numerical Solution of Functional Equations by Means of Laplace Transform--III : The Diffusion Equation. - 1964

Numerical Solution of Functional Equations by Means of Laplace Transform--IV : Nonlinear Equations. - 1964

Numerical Solution of Functional Equations by Means of Laplace Transform--V : Mismatched Systems of Linear Differential Equations. - 1964

Numerical Solution of Functional Equations by Means of Laplace Transform--VI : Stochastic Time-Optimal Control. - 1964

Numerical Solution of Functional Equations by Means of Laplace Transform--VIII : Determination of Weighting Functions. - 1964

Numerical Studies of a Two-Point Nonlinear Boundary Value Problem Using Dynamic Programming, Invariant Imbedding, and Quasilinearization - 1964

Numerical integration of a differential-difference equation with a decreasing time-lag - 1964

On the Identification of Systems and the Unscrambling of Data--I: Hidden Periodicities. - 1964

On the identification of systems and the unscrambling of Data-II : an inverse problem in radiative transfer - 1964

Quasilinearization, Boundary-Value Problems and Linear Programming. - 1964

Sensitivity analysis and invariant imbedding - 1964

Wengert's Numerical Method for Partial Derivatives, Orbit Determination, and Quasilinearization. - 1964

A Note on Nonlinear Summability Techniques in Invariant Imbedding. - 1963

A mathematical model of drug distribution in the body; implications for cancer chemotherapy [by] Richard Bellman [and others] - 1963

An Inverse Problem in Dynamic Programming and Automatic Control. - 1963

Differential Approximation Applied to the Solution of Convolution Equations. - 1963

Dynamic programming and ill-conditioned linear systems - 1963

Graph Theory and Automatic Control. - 1963

Invariant Imbedding and Rarefied Gas Dynamics. - 1963

Invariant Imbedding and the Analysis of Processes. - 1963

Invariant Imbedding and the Integration of Hamilton's Equations - 1963

Numerical Solution of Functional Equations by Means of Laplace Transform--I : Renewal Equation. - 1963

Numerical Solution of Functional Equations by Means of Laplace Transform--II : Differential-Difference Equations. - 1963

Numerical inversion of the Laplace transform - 1963

Plant Modernization under Conditions of Competition and Technological Improvement. - 1963

Quasilinearization, system identification and prediction - 1963

A Note on Hamilton's Equations and Invariant Imbedding. - 1962

Dynamic Programming Applied to Control Processes Governed by General Functional Equations. - 1962

Invariant Imbedding and Diffuse Reflection from a Two-Dimensional Flat Layer - 1962

Invariant Imbedding and Diffuse Reflection of Radiation Due to a Distributed Point Source--I and II. - 1962

Invariant Imbedding and Diffuse Reflection of Radiation from a Collimated Point Source--III. - 1962

Invariant Imbedding and Noncoherent Scattering in a Finite, Inhomogeneous Atmosphere. - 1962

Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness. - 1962

Invariant Imbedding and Time-Dependent Diffuse Reflection by a Finite Inhomogeneous Flat Layer - 1962

Invariant Imbedding and the Townsend Avalanche - 1962

Modern mathematics, magical computers, and a cornucopia of applications : computational solution of nonlinear boundary value problems via quasilinearization - 1962

Modern mathematics, magical computers, and a cornucopia of applications : neutron transport theory or building reactors for fun and profit - 1962

Modern mathematics, magical computers, and a cornucopia of applications : polynomial approximation and the computational solution of dynamic programming problems - 1962

Modern mathematics, magical computers, and a cornucopia of applications : quasilinearization or two-point boundary-value problems made easy - 1962

Modern mathematics, magical computers, and a cornucopia of applications : saving computer storage or look, Ma, no memory! - 1962

Modern mathematics, magical computers, and a cornucopia of applications : stochastic control processes or button, button, who's got the button - 1962

On a New Approach to the Computational Solution of Partial Differential Equations - 1962

On the Diffuse Reflection of Parallel Rays by an Inhomogeneous Flat Layer as a Limiting Process - 1962

Orbit Determination as a Multipoint Boundary Value Problem and Quasilinearization - 1962

Polynomial approximation: a new computational technique in dynamic programming-I: allocation processes. - 1962

Applications of dynamic programming to space guidance, satellites, and trajectories. - 1961

Computational Considerations for Some Deterministic and Adaptive Control Processes. - 1961

Design of minimal weight structures for given reliability and cost. - 1961

Dynamic programming and the variational principles of classical and statistical mechanics. - 1961

Interrupted Stochastic Control Processes. - 1961

Mathematical aspects of adaptive control. - 1961

On a new computational solution of time-dependent processes-I: a one-dimensional case. - 1961

Some Aspects of Quasilinearization - 1961

Dynamic programming, Fermat's principle, and the eikonal equation. - 1960

Dynamic programming, sequential estimation, and sequential detection processes. - 1960

Invariant imbedding and mathematical physics--I: particle processes. - 1960

On kth best policies. - 1960

Reduction of dimensionality, dynamic programming, and control processes. - 1960

Some Mathematical Aspects of Optimal Predation in Ecology and Boviculture. - 1960

Some mathematical aspects of optimization problems in engineering. - 1960

A mathematical theory of adaptive control processes. - 1959

Dynamic Programming and Adaptive Processes — I: Mathematical Foundation - 1959

Dynamic Programming and Feedback Control - 1959

Invariant imbedding and neutron transport in a rod of changing length. - 1959

Invariant imbedding, random walk, and scattering-II: discrete versions. - 1959

On control of reactor shutdown involving minimal xenon poisoning. - 1959

Some aspects of adaptive control processes. - 1959

Some mathematical aspects of chemotherapy-I: one-organ models. - 1959

Transport theory and invariant imbedding. - 1959

Functional equations, wave propagation, and invariant imbedding. - 1958

Invariant Imbedding and Wave Propagation in Stochastic Media - 1958

Invariant imbedding and neutron transport theory--II: functional equations. - 1958

Invariant imbedding and wave propagation in stochastic media. - 1958

On an application of dynamic programming to the synthesis of logical systems. - 1958

On communication processes involving learning and random duration. - 1958

On control of reactor shut-down involving minimal xenon poisoning. - 1958

Some applications of dynamic programming to communication and information theory. - 1958

The distribution of a drug in the body. - 1958

A note on preventative sampling. - 1957

General Systems Approaches to Telecommunication Optimization. - 1957

Invariant imbedding, wave propagation, and the WKB approximation. - 1957

On Nonlinear Differential Equations, the Maximum Operation, and Monotone Convergence - 1957

On weighted PCM and mean square deviation. - 1957

Random walk, scattering, and invariant imbedding --I: one-dimensional discrete case. - 1957

Linear Programming. - 1956

On the Role of Dynamic Programming in Statistical Communication Theory. - 1956

Optimal Utilization and Extension of Interoffice Trunking Facilities. - 1956

A Simple Derivation of the Poisson Distribution. - 1953

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