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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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Numerical techniques for digital computer solution of algebraic simultaneous linear equations from finite difference approximation of partial differential equations of thin elastic shells
Trigonometric function algorithms for algebraic simplification in computer programs
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.
Problems of manned spacecraft design such as weight restriction, structural problems, heat protection, thermal control, vibration, etc
Physiological response related to heat conduction problems
Finite difference methods using computer for boundary value problem of ionospheric electron density
Least squares gradient method for boundary value and optimization problems found in flight mechanics and astrodynamics
Zeros of polynomials with real or complex coefficients determined, using steepest descent method in convergent procedure
Approximate method of stability analysis for equilibrium in elastic continuums subjected to follower type surface traction
Graphical reprensentation of nonlinear heat transfer functions for constant area fin problem
Simplified and accurate relative equations of motion for two impulse orbital rendezvous
Geometric programming algorithm method for computing chemical systems equilibrium composition reduces minimization variables
Modified Newton method for solution of simultaneous nonlinear equations applied to variational two point boundary value problems in trajectory optimization
Offset vector iteration method for two point boundary value problems, discussing parameters selection, convergence and computation flow diagram
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.
Parabolic, elliptic, and hyperbolic partial differential equations using analog and hybrid methods - bibliographies
Approximate method for wave equation with dielectric variation in propagation direction
One parameter operator imbedding to modify Newton method for solution of nonlinear equations