Richard Ernest Bellman — Publications

Magic, mathematics and mystery.

2004
Introduction to Matrix Analysis

1995
Chandrasekhar's Planetary Problem with Internal Sources.

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

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

1967
A computational approach to Chandrasekhar's planetary problem

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

1966
Linearization Based Upon Differential Approximation and Galerkin's Method

1966
A new approach to the numerical solution of a class of linear and nonlinear integral equations of Fredholm type

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

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

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

1966
On the construction of a mathematical theory of the identification of systems

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 the Estimation of Time Lags

1966
Segmental differential approximation and biological systems: An analysis of a metabolic process

1966
A Simulation of the Initial Psychiatric Interview.

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
Automation, Jobs and the Golden Rule.

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
Dynamic programming, generalized states, and switching systems

1965
Dynamic programming, system identification, and suboptimization

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 Aspects of the Theory of Systems

1965
Mathematical Dowsers and Digital Diviners.

1965
Mathematical experimentation in time-lag modulation

1965
Mathematical Problems Arising in Biomedical Research.

1965
A note on the identification of linear systems

1965
A note on the solution of polynomial congruences

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 Class of Nonlinear Differential Equations with Nonunique Solutions.

1965
On analogues of Poincar*e-Lyapunov theory for multipoint boundary-value problems

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

1965
On Proving Theorems in Plane Geometry via Digital Computer.

1965
Projective Metrics in Dynamic Programming

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
Adaptive Segmental Differential Approximation.

1964
Another computational approach to a mathematical model of turbulence

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

1964
An Application of Dynamic Programming to Location-Allocation Problems

1964
An Application of Dynamic Programming to the Coloring of Maps.

1964
Bigger and Better Mathematicians

1964
Challenges of Modern Control Theory.

1964
Chemotherapy, Convolutional Equations, and Differential Approximation.

1964
Creativity and Research in the University

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

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

1964
Dynamic Programming, Learning, and Adaptive Processes.

1964
Estimation of Heart Parameters Using Skin Potential Measurements.

1964
Identification of Differential Systems with Time-Varying Coefficients.

1964
Identification of linear systems via numerical inversion of Laplace transforms

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

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

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

1964
Invariant Imbedding, Particle Interaction and Conservation Relations.

1964
Inverse Problems in Radiative Transfer: Layered Media

1964
Nonlinear extrapolation and two-point boundary value problems

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

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 Solutions of Functional Equations by Means of Laplace Transform—VII: The Mellin Transform

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

1964
On Computational Approaches to Some Mathematical Models of Turbulence.

1964
On the Application of Dynamic Programming to the Determination of Optimal Play in Chess and Checkers.

1964
On the Computational Solution of a Class of Functional Differential Equations.

1964
On the computational solution of two-point boundary-value problems, by R. Bellman and T.A. Brown.

1964
On the Identification of Systems and the Unscrambling of Data: Some Problems Suggested by Neurophysiology

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
On the Riesz Representation Theorem.

1964
Oscillatory and Unimodal Properties of Solutions of Second Order Linear Differential Equations.

1964
Quasilinearization, Boundary-Value Problems and Linear Programming.

1964
Relative Invariants and Closure.

1964
Science, Technology and the Automation Explosion

1964
Segmental Differential Approximation and the ''Black Box'' Problem

1964
Sensitivity analysis and invariant imbedding

1964
Some Directions of Research in Dynamic Programming.

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

1964
Closure Techniques for Infinite Systems of Differential Equations.

1963
Differential Approximation Applied to the Solution of Convolution Equations.

1963
Differential-Difference Equations

1963
Dynamic programming and ill-conditioned linear systems

1963
Dynamic Programming and Mathematical Economics

1963
Existence and Uniqueness Theorems in Invariant Imbedding—II: Convergence of a New Difference Algorithm

1963
Invariant Imbedding and Rarefied Gas Dynamics.

1963
Invariant Imbedding and the Integration of Hamilton's Equations

1963
An Inverse Problem in Dynamic Programming and Automatic Control.

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

1963
A Mathematical Model of Radiation and Population of Cell Colonies—I: Two-Dimensional Random-Walk Model

1963
Mathematical optimization techniques;[papers]

1963
A Note on Differential Approximation and Orthogonal Polynomials.

1963
A Note on Invariant Imbedding and Generalized Semi-Groups.

1963
A Note on Nonlinear Summability Techniques in Invariant Imbedding.

1963
A Note on the Computational Solution of a System of Differential Equations with Varying Time-Lags.

1963
A Numerical Approach to the Convolution Equations of a Mathematical Model of Chemotherapy.

1963
Numerical inversion of the Laplace transform

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

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

1963
On the Nonnegativity of Green's Functions

1963
Psychiatric Interviewing and Multistage Decision Processes of Adaptive Type.

1963
Quasilinearization, system identification and prediction

1963
Some Applications of Polynomial Approximation to Dynamic Programming

1963
Applied Dynamic Programming

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

1962
Dynamic programming, intelligent machines, and self-organizing systems.

1962
Formal Solutions of Analytic Differential Equations.

1962
Functional equations in the theory of dynamic programming—XII: An application of the maximum transform

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 the Townsend Avalanche

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

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: Stochastic control processes or button, button, who's got the button

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: Computational solution of nonlinear boundary value problems via quasilinearization

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

1962
A New Formalism in Perturbation Theory Using Continued Fractions.

1962
A Note on Dynamic Programming and Perturbation Theory.

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

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

1962
On Asymptotic Behavior of Solutions of Second-Order Differential Equations

1962
On Some Questions Arising in the Approximate Solution of Nonlinear Differential Equations

1962
On Systems of Linear Inequalities in Hermitian Matrix Variables

1962
On the Approximation of Curves by Line Segments Using Dynamic Programming — II

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

1962
On the Maximum Transform and Semigroups of Transformations

1962
On the Numerical Solution of a Differential-Difference Equation Arising in Analytic Number Theory

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
Some questions concerning difference approximations to partial differential equations.

1962
Vector Lyapunov Functions.

1962
Applications of dynamic programming to space guidance, satellites, and trajectories.

1961
Dynamic programming and "difficult crossing" puzzles.

1961
Dynamic programming and linear prediction theory.

1961
Dynamic programming treatment of the traveling salesman problem.

1961
From chemotherapy to computers to trajectories.

1961
Interrupted Stochastic Control Processes.

1961
Invariant imbedding and random walk.

1961
Mathematical experimentation and biological research.

1961
New directions of research in the theory of differential equations.

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

1961
On a new functional transform in analysis: the maximum transform.

1961
On Some Mathematical Recreations.

1961
On the Approximation of Curves by Line Segments Using Dynamic Programming.

1961
On the asymptotic behavior of solutions of nonlinear differential equations.

1961
On the computational solution of a class of nonlinear differential-difference equations.

1961
On the iterative solution of two-point boundary value problems.

1961
On the Reduction of Dimensionality for Classes of Dynamic Programming Processes.

1961
On variation-diminishing property of Green's function K(x,y). The method followed is that used for obtaining the absolute minimum J(u) contained in a particular related quadratic form.

1961
On Various Versions of the Defective Coin Problem.

1961
Dynamic programming, sequential estimation, and sequential detection processes.

1960
Functional equations in the theory of dynamic programming—XII: Complex operators and min-max variation

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

1960
A mathematical formulation of variational processes of adaptive type.

1960
On kth best policies.

1960
Perspectives of dynamic programming.

1960
The reciprocity formula for multidimensional theta functions.

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

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

1960
An application of dynamic programming to the determination of optimal satellite trajectories.

1959
Dynamic Programming and Adaptive Processes — I: Mathematical Foundation

1959
Dynamic Programming and Classical Analysis.

1959
Dynamic Programming and Feedback Control

1959
Dynamic Programming, Invariant Imbedding and Two-Point Boundary Value Problems

1959
Functional Approximations and Dynamic Programming

1959
Functional equations and successive approximations in linear and nonlinear programming.

1959
Functional equations in the theory of dynamic programming--XI: limit theorems.

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

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

1959
A mathematical theory of adaptive control processes.

1959
On control of reactor shutdown involving minimal xenon poisoning.

1959
On the application of dynamic programming to a class of implicit variational problems.

1959
On the Computational Solution of Dynamic-Programming Processes-XIV: Missile-Allocation Problems

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

1959
Transport theory and invariant imbedding.

1959
What is dynamic programming?.

1959
Approximation in policy space, linear, and nonlinear programming.

1958
Combinatorial processes and dynamic programming.

1958
The distribution of a drug in the body.

1958
Functional equations and maximum range.

1958
Functional equations in the theory of dynamic programming—IX: Variational analysis, analytic continuation, and imbedding of operators

1958
Functional equations in the theory of dynamic programming—X: Resolvents, characteristic functions, and values

1958
Functional equations, wave propagation, and invariant imbedding.

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

1958
Invariant imbedding and wave propagation in stochastic media.

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
On the computational solution of dynamic-programming processes--VII: radar nets.

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

1958
Some aspects of the mathematical theory of control processes

1958
Computational Solutions of Dynamic-Programming Processes — VI : On the Optimal-Trajectory Problem

1957
Dynamic programming and mean square deviation.

1957
Dynamic Programming and Stochastic Control Processes

1957
Dynamic programming and the computational solution of feedback design control problems.

1957
Dynamic programming and the reliability of multicomponent devices.

1957
Dynamic Programming and the Variational Solution of the Thomas-Fermi Equation.

1957
Dynamic programming and the variation of Green's functions.

1957
Dynamic-programming approach to optimal inventory processes with delay in delivery.

1957
Dynamic programming, nonlinear variational processes, and successive approximations.

1957
Dynamic programming, successive approximations, and variational problems of combinatorial nature.

1957
Functional equations in the theory of dynamic programming—VIII: The variation of Green's functions—one-dimensional case

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

1957
A Markovian decision process.

1957
Multi-dimensional maximization and dynamic programming.

1957
A note on monotone convergence to solutions of first-order differential equations.

1957
A note on the numerical integration of a class of nonlinear hyperbolic differential equations.

1957
Notes on Linear Programming: Part XXXIX — Slightly Intertwined Linear Programming Matrices

1957
Notes on Matrix Theory--XIII : Slightly Intertwined Linear Programming Matrices.

1957
Notes on matrix theory-XV: multiplicative inequalities obtained from additive inequalities.

1957
On the computational solution of dynamic-programming processes—I: On a tactical air-warfare model of Mengel

1957
On the computational solution of dynamic-programming processes—IX: A multistage logistic-procurement model

1957
On the computational solution of dynamic programming processes—VIII: A bottleneck situation involving interdependent industries

1957
On the computational solution of dynamic-programming processes—VIII: A bottleneck situation involving interdependent industries

1957
On the computational solution of dynamic-programming processes--X: the flyaway-kit problem.

1957
On the Construction of a Multi-Stage, Multi-Person Business Game

1957
On the formulation of dynamic-programming problems--I.

1957
On weighted PCM and mean square deviation.

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

1957
Some New Techniques in the Dynamic-Programming Solution of Variational Problems.

1957
Terminal control, time-lags, and dynamic programming.

1957
The Theory of Games

1957
Dynamic Programming.

1956
Dynamic Programming and its Application to Variational Problems in Mathematical Economics.

1956
Dynamic Programming and LaGrange Multipliers

1956
A Dynamic Programming Solution to a Cascading Problem Arising in Heavy Water Production.

1956
Functional Equations in the Theory of Dynamic Programming--III : Multistage Games

1956
Functional Equations in the Theory of Dynamic Programming—VII: An Integro-Differential Equation for the Fredholm Resolvent

1956
Multidimensional Maximization, Dynamic Programming, and Economic Lot Size.

1956
Notes on matrix theory - IX.

1956
Notes on the Theory of Dynamic Programming--VIII.

1956
On a Dynamic Programming Approach to the Caterer Problem--I.

1956
On a Generalization of the Fundamental Identity of Wald.

1956
On Some Applications of Dynamic Programming to Matrix Theory.

1956
On the Application of the Theory of Dynamic Programming to the Study of Control Processes.

1956
On the computational solution of dynamic-programming processes—I: On a tactical air-warfare model of Mengel

1956
On the computational solution of dynamic-programming processes--II: on a cargo-loading problem.

1956
On the Optimal Use of Guided Missiles — I: Allocation of Missiles

1956
On the Optimal Use of Guided Missiles — II: Dummy Missiles

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

1956
Dynamic Programming and the Numerical Solution of Variational Problems.

1955
Eigenvalues and Functional Equations.

1955
Functional Equations in the Theory of Dynamic Programming--II : Nonlinear Differential Equations.

1955
Functional Equations in the Theory of Dynamic Programming--VI : A Direct Convergence Proof.

1955
Functional Equations in the Theory of Dynamic Programming, V : Positivity and Quasi-Linearity.

1955
Mathematical Aspects of Scheduling Theory

1955
Notes in the Theory of Dynamic Programming—II: A Functional Equation Arising in Allocation Theory

1955
Notes in the Theory of Dynamic Programming--III : Equipment Replacement Policy.

1955
Notes in the Theory of Dynamic Programming--IV : A Variational Problem with Constraints.

1955
Notes on Control Processes--I : On the Minimum of Maximum Deviation.

1955
Notes on the Theory of Dynamic Programming, VII : Transportation Models.

1955
Notes on the Theory of Dynamic Programming--VI : The Warehousing Model.

1955
Notes on the Theory of Dynamic Programming, V : Maximization Over Discrete Sets.

1955
On a Class of Variational Problems.

1955
On the Optimal Inventory Equation.

1955
Some Aspects of the Theory of Dynamic Programming.

1955
Variational problems with constraints.

1955
Bottleneck Problems, Functional Equations and Dynamic Programming.

1954
Decision Making in the Face of Uncertainty — I: Uncertain Outcome

1954
Decision-Making in the Face of Uncertainty — II

1954
Dynamic Programming and a New Formalism in the Calculus of Variations--I.

1954
Dynamic Programming and a New Formalism in the Theory of Integral Equations.

1954
Dynamic Programming and Multistage Decision Processes of Stochastic Type.

1954
Dynamic programming and the calculus of variations-I.

1954
Functional equations, Wiener integrals and applications-- I: functional equations.

1954
A General Survey of the Theory of Dynamic Programming.

1954
Monotone Convergence in Dynamic Programming and the Calculus of Variations.

1954
A Note on the Mean Value of Random Determinants.

1954
On a Quasi-Linear Equation.

1954
On multi-stage games with imprecise payoff.

1954
On the computational solution of some functional equations in the theory of dynamic programming.

1954
On the limiting behavior of discrete dynamic-programming processes--II (a direct proof of convergence).

1954
On the limiting behavior of discrete dynamic-programming processes--III (the generalized gold-mining problem).

1954
On the limiting behavior of discrete dynamic-programming processes--I (the gold-mining problem).

1954
On the minimization of <>.

1954
On the Optimal Inventory Equation.

1954
A Problem in the Sequential Design of Experiments.

1954
Some Applications of the Theory of Dynamic Programming.

1954
Some Functional Equations in the Theory of Dynamic Programming—I: Functions of Points and Point Transformations

1954
A Survey of the Mathematical Theory of Time-Lag, Retarded Control, and Hereditary Processes

1954
The Theory of Dynamic Programming

1954
The Theory of Dynamic Programming as Applied to a Smoothing Problem.

1954
Bottleneck Problems and Dynamic Programming.

1953
Computational Problems in the Theory of Dynamic Programming.

1953
Dynamic Programming and a New Formalism in the Calculus of Variations.

1953
Effects of Surface Tension and Viscosity on Taylor Instability

1953
A Functional Equation in the Theory of Dynamic Programming and its Generalizations.

1953
An Introduction to the Theory of Dynamic Programming

1953
On a Generalization of Classical Probability Theory: Markoff Chains

1953
On an application of the theory of dynamic programming to bottleneck problems in production and allocation.

1953
On a New Iterative Algorithm for Finding the Solutions of Games and Linear Programming Problems.

1953
On continuous versions of dynamic-programming problems--III (two interdependent industries with no capacity constraints).

1953
On continuous versions of dynamic programming problems--IV (duality theorems for bottleneck problems)

1953
On Some Applications of the Theory of Dynamic Programming to Logistics.

1953
On Some Variational Problems Occurring in the Theory of Dynamic Programming

1953
On the Continuous Gold-Mining Equation.

1953
Some Combinatorial Problems Arising in the Theory of Multistage Processes

1953
Some Functional Equations in the Theory of Dynamic Programming.

1953
Some Problems in the Theory of Dynamic Programming.

1953
The stability theory of differential-difference equations.

1953
Studies in Functional Equations Occurring in Decision Processes.

1953
On a class of matrices with known characteristic roots and vectors.

1952
On a Functional Equation Occurring in the Theory of Dynamic Programming.

1952
On a problem in dynamic programming

1952
On some variational problems occurring in the theory of dynamic programming--II.

1952
On some variational problems occurring in the theory of dynamic programming--III.

1952
On some variational problems occurring in the theory of dynamic programming--IV.

1952
On some variational problems occurring in the theory of dynamic programming--V.

1952
On some variational problems occurring in the theory of dynamic programming--VI.

1952
A Bibliography of the Theory and Application of Differential-Difference, Renewal, and Related Functional Equations

1951
On a General Class of Problems Involving Sequential Analysis

1951
On a Geometrical Game Connected with Sequential Analysis

1951
On a problem in the theory of testing.

1951
On a transportation problem.

1951
On Some Dynamic Linear Programming Problems.

1951
On an equation occurring in the harmonic analysis of viscous fluid flow.

1950
On approximate expressions for the exponential integral and the error function.

1950
On Games Involving Bluffing

1950
On Positive Transformations.

1950
On the General Moment Problem.

1950
On the Integral Equation

1950
On the min max of <>1 f(x)a(x)d(x)dt(x)

1950
Recurrence Times for the Ehrenfest Model.

1950
Application of Theory of Games to Identification of Friend and Foe

1949
A Bomber-Fighter Duel

1949
An Example of Bluffing with Pure Strategies

1949
A Note on the Monte Carlo Method and the Potential Equation.

1949
Occurrence of improbable states in a modified Ehrenfest model--part I

1949
On a Minimum Problem

1949
On a Particular Non-Zero-Sum Game

1949
On Non-Zero Games and Stochastic Processes

1949
Some Two-Person Games Involving Bluffing

1949
On the concept of utility and decision-making

1948

U.S. research divisions

International research divisions

Richard Ernest Bellman — Publications

Magic, mathematics and mystery.

Introduction to Matrix Analysis

Chandrasekhar's Planetary Problem with Internal Sources.

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

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

A computational approach to Chandrasekhar's planetary problem

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

Linearization Based Upon Differential Approximation and Galerkin's Method

A new approach to the numerical solution of a class of linear and nonlinear integral equations of Fredholm type

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

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

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

On the construction of a mathematical theory of the identification of systems

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

Quasilinearization and the Estimation of Time Lags

Segmental differential approximation and biological systems: An analysis of a metabolic process

A Simulation of the Initial Psychiatric Interview.

Time-dependent diffuse reflection from slabs with multiple scattering

Alternative techniques for the invariant imbedding of rarefied couette flows

Analytical and computational techniques for multiple scattering in inhomogeneous slabs

Automation, Jobs and the Golden Rule.

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

Computational Solution of Radiative Transfer Problems in Cloud Physics

Dynamic programming and an inverse problem in neutron transport theory

Dynamic programming, generalized states, and switching systems

Dynamic programming, system identification, and suboptimization

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

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

Invariant imbedding and nonvariational principles in analytical dynamics

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

Invariant imbedding and the computation of internal fields for transport processes

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

Inverse Problems in Ecology

Mathematical Aspects of the Theory of Systems

Mathematical Dowsers and Digital Diviners.

Mathematical experimentation in time-lag modulation

Mathematical Problems Arising in Biomedical Research.

A note on the identification of linear systems

A note on the solution of polynomial congruences

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

Numerical results for the auxiliary equation of radiative transfer

On a Class of Nonlinear Differential Equations with Nonunique Solutions.

On analogues of Poincar*e-Lyapunov theory for multipoint boundary-value problems

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

On Proving Theorems in Plane Geometry via Digital Computer.

Projective Metrics in Dynamic Programming

Quasilinearization and nonlinear boundary-value problems

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

Quasilinearization, invariant imbedding, and the calculation of eigenvalues

Abstraction and Pattern Classification

Adaptive Segmental Differential Approximation.

Another computational approach to a mathematical model of turbulence

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

An Application of Dynamic Programming to Location-Allocation Problems

An Application of Dynamic Programming to the Coloring of Maps.

Bigger and Better Mathematicians

Challenges of Modern Control Theory.

Chemotherapy, Convolutional Equations, and Differential Approximation.

Creativity and Research in the University

Dynamic Programming and Ill-Conditioned Linear Systems-II.

Dynamic programming, invariant imbedding and quasilinearization: comparisons and interconnections

Dynamic Programming, Learning, and Adaptive Processes.

Estimation of Heart Parameters Using Skin Potential Measurements.

Identification of Differential Systems with Time-Varying Coefficients.

Identification of linear systems via numerical inversion of Laplace transforms

Invariant Imbedding and a Resolvent of the Photon-Diffusion Equation

Invariant Imbedding and Nonlinear Filtering Theory

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

Invariant imbedding and time-dependent transport processes

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

Invariant Imbedding, Particle Interaction and Conservation Relations.

Inverse Problems in Radiative Transfer: Layered Media

Nonlinear extrapolation and two-point boundary value problems

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

Numerical Solution of Functional Equations by Means of Laplace Transform—III: The Diffusion Equation

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

Numerical Solution of Functional Equations by Means of Laplace Transform—V: Mismatched Systems of Linear Differential Equations