Stresses and displacements in pressurized spherical shells subjected to localized loads
Ordinary differential equations for stress analysis of thin spherical shells for initial pressurization
THIN WALLED SHELL↗
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Results for “Ordinary Differential Equation”
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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New one-step integration methods of high-order accuracy applied to some problems in celestial mechanics
One-step methods for numerical integration of initial value problems in ordinary differential equations applied to celestial mechanics
DIFFERENTIAL EQUATION↗
Error curves for Lanczos' ''selected points'' method.
Maximum error curves for Lanczos selected point method of polynomial solution to ordinary differential equations, using Chebyshev and Legendre functions
ANALYTIC FUNCTION↗
Self-starting procedure simplifies numerical integration
A self-starting, multistep procedure for the numerical integration of ordinary differential equations is devised to produce all the required backward differences directly from the initial equations. The self-starting element eliminates nonessential tallying to determine starting values.
Source record↗
On geometric properties of the Estabrook- Wahlquist function chain
Relationship of geometric surface properties to solutions of ordinary differential equation systems
SURFACE PROPERTY↗
Scientific programming
Scientific programming of transformations of direction fields and autonomous systems of ordinary differential equations - Optimization of electron-optical potential for star tracker
STAR TRACKER↗
The effects of shear deformation and rotary inertia on modal data of a nonuniform beam.
Shear deformation and rotary inertia effects on modal data of nonuniform beam, with complex behavior defined by ordinary differential equations
STRUCTURAL VIBRATION↗
Controllability of distributed-parameter systems
Controllability of distributed-parameter control systems is mathematically studied. A general theory for control systems includes those that cannot be described by ordinary differential equations.
Herget, C. J.↗
Research in the Restricted Problems of Three and Four Bodies Final Scientific Report
Seven studies have been conducted on research in the existence and nature of solutions of the restricted problems of three and four bodies. The details and results of five of these research investigations have already been published, and the latest two studies will be published shortly. A complete bibliography of publications is included in this report. This research has been primarily qualitative and has yielded new information on the behavior of trajectories near the libration points in the Earth-Moon-Sun and Sun-Jupiter-Saturn systems, and on the existence of periodic trajectories about the libration points of the circular and elliptical restricted four-body models. We have also implemented Birkhoff's normalization process for conservative and nonconservative Hamiltonian systems with equilibrium points. This makes available a technique for analyzing stability properties of certain nonlinear dynamical systems, and we have applied this technique to the circular and elliptical restricted three-body models. A related study was also conducted to determine the feasibility of using cislunar periodic trajectories for various space missions. Preliminary results suggest that this concept is attractive for space flight safety operations in cislunar space. Results of this research will be of interest to mathematicians, particularly those working in ordinary differential equations, dynamical systems and celestial mechanics; to astronomers; and to space guidance and mission analysts.
Richards, Paul B.↗
The reduction of certain control problems to an ordinary differential type
Transformation of control problems to ordinary differential equations
Warga, J.↗
A simple differential game.
Necessary and sufficient conditions for optimal strategies for differential /two person zero-sum/ game with sum determined by ordinary differential equations
Leitmann, G.↗
Finite difference forms containing derivatives of higher order.
Stability and error bounds in numerical integration of ordinary differential equations, determining highest possible degree of stable finite difference form
Reimer, M.↗
On the O.D.E. of stagnation point flows of power law fluids.
Quasi-linear ordinary differential equations solutions for steady two dimensional stagnation point flows of nonNewtonian power law fluids
Spinelli, R. A.↗
Two-variable expansions and singular perturbation problems.
Two variable expansion method applied to ordinary differential equation and two wave propagation problems, comparing results with matched asymptotic expansions and coordinate stretching methods
Lick, W.↗
Pseudo-Runge-Kutta methods of the fifth order
Fifth-order pseudo-Runge-Kutta methods for numerical solution of ordinary differential equations, determining optimal parameters
Gruttke, W. B.↗
An integrator design
Integrator design to provide subroutines for numerical solution of ordinary differential equations
Krogh, F. T.↗
Use of Green's functions in the numerical solution of two-point boundary value problems Final report, 1 Apr. 1970 - 31 Mar. 1971
Green function in solving linear and nonlinear second order ordinary differential equations including examples in finding rendezvous and periodic orbits of restricted three body system
Gallaher, L. J.↗
The generation and application of first and second order sensitivity coefficients
Linear ordinary differential equation systems first order output sensitivity coefficients generation and application to second order cross sensitivities
Kulas, C. E.↗