Research study to develop methods for solving problems associated with space vehicles Monthly progress report /Final/
Trigonometric function algorithms for algebraic simplification in computer programs
COMPUTER PROGRAM↗
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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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Monte Carlo techniques for solving transport problems
The Monte Carlo procedure is a model sampling technique. A model is established, and the behavior of sample units in this model is followed. A sufficient number of sample units are followed to obtain a statistical average or macroscopic quantities, which are the quantities of interest. This technique was used in crude form by Fermi in connection with the building of the first atomic pile. Later, Von Neumann and Ulam developed and used the Monte Carlo procedure extensively in developing the atomic bomb. Since then this technique has gained considerable use in nuclear reactor problems (refs. 1 and 2), and we at the Lewis Research Center have been extending it to thermal radiation (refs. 3 and 4), rarefied gas flows, and plasma flow problems (ref. 5). This technique, which requires a large number of sample histories to obtain solutions with small variances, is receiving greater use because of the development of the high-speed electronic computers.
SAMPLED DATA SYSTEM↗
Manned spacecraft design - The problems solved.
Problems of manned spacecraft design such as weight restriction, structural problems, heat protection, thermal control, vibration, etc
STRUCTURAL RELIABILITY↗
Variational Methods for Solving Heat Conduction Problems Semiannual Status Report, 15 Apr. - 15 Oct. 1966
Physiological response related to heat conduction problems
PHYSIOLOGICAL RESPONSE↗
Computer methods for solving a diffusion boundary value problem
Finite difference methods using computer for boundary value problem of ionospheric electron density
FINITE DIFFERENCE METHOD↗
A least squares gradient method for solving boundary-value and optimization problems.
Least squares gradient method for boundary value and optimization problems found in flight mechanics and astrodynamics
BOUNDARY VALUE↗
A convergent algorithm for solving polynomial equations.
Zeros of polynomials with real or complex coefficients determined, using steepest descent method in convergent procedure
COMPUTER PROGRAM↗
The usefulness of adjoint systems in solving nonconservative stability problems of elastic continua
Approximate method of stability analysis for equilibrium in elastic continuums subjected to follower type surface traction
Herrmann, G.↗
Tables and graphs of functions necessary for solving nonlinear heat transfer constant area fin problems with examples on their use
Graphical reprensentation of nonlinear heat transfer functions for constant area fin problem
Price, J. W.↗
Derivation of approximate equations for solving the planar rendezvous problem
Simplified and accurate relative equations of motion for two impulse orbital rendezvous
Price, D. B.↗
A geometric programming algorithm for solving chemical equilibrium problems.
Geometric programming algorithm method for computing chemical systems equilibrium composition reduces minimization variables
Passy, U.↗
A modified Newton's method for solving trajectory optimization problems.
Modified Newton method for solution of simultaneous nonlinear equations applied to variational two point boundary value problems in trajectory optimization
Lastman, G. J.↗
An offset vector iteration method for solving two-point boundary-value problems.
Offset vector iteration method for two point boundary value problems, discussing parameters selection, convergence and computation flow diagram
Price, C. F.↗
Variable-mesh method of solving differential equations
Multistep predictor-corrector method for numerical solution of ordinary differential equations retains high local accuracy and convergence properties. In addition, the method was developed in a form conducive to the generation of effective criteria for the selection of subsequent step sizes in step-by-step solution of differential equations.
Van Wyk, R.↗
Bibliography on techniques for solving partial differential equations by hybrid computation and other methods
Parabolic, elliptic, and hyperbolic partial differential equations using analog and hybrid methods - bibliographies
Finn, D. L.↗
An approximate method for solving the wave equation in an inhomogeneous medium.
Approximate method for wave equation with dielectric variation in propagation direction
Kinney, R. A.↗
On solving nonlinear equations with a one- parameter operator imbedding.
One parameter operator imbedding to modify Newton method for solution of nonlinear equations
Meyer, G. H.↗
Differential dynamic programming methods for solving bang-bang control problems.
Nonlinear bang-bang optimal control problems solution based on differential dynamic programming, noting use of Pontryagin adjoint variables
Jacobson, D. H.↗