Mesh Optimization and Basis Compression]{Mesh Optimization and Basis Compression for Extreme-Scale Solution of Partial Differential Equations
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Harper, Graham Bennett↗
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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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Neural Universal Differential Equation Hypernetwork Surrogates for Agent-Based Disease Models
Presentation for SIAM CSE 2025 on new surrogate modeling for epidemiological agent-based models
Robertson, Connor James [Sandia National Laborator↗
Basis Compression for Extreme-Scale Solution of Partial Differential Equations
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Harper, Graham Bennett [Sandia National Laboratori↗
Linear functional-differential equations with constant coefficients
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Hale, J. K.↗
Study compares methods for the numerical solution of ordinary differential equations
Study compares the use of five different methods for the computer solution of the restricted three-body problem. It describes the implementation of each method on a burroughs B-5000 computer and in terms of speed and accuracy.
Source record↗
Computer-oriented and Differential Equations Studies Progress Report, 1 Oct. 1964 - 21 Apr. 1965
Computer oriented calculations on guidance and space flight problems
SPACECRAFT GUIDANCE↗
[Elliptic Differential Equations]
Reflection laws of systems of elliptic equations, on-line programming to numerically solve nonlinear integral equations, and reduction of electrostriction problem
ON-LINE PROGRAMMING↗
Nonlinear integral and integral-differential equations of shallow shells and their applications
Nonlinear boundary value solution for stressed and strained state of flexible shells and plates
BOUNDARY VALUE PROBLEM↗
On the asymptotic stability of the null solution of linear differential equations with periodic coefficients.
Asymptotic stability of feedback systems with linear time invariant forward loop and periodic gain, giving graphic technique to determine multiplier existence
Willems, J. C.↗
Theory of differential equations and their relationship to dynamical systems theory progress report, 1 oct. 1967 - 31 mar. 1968
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Lasalle, J. P.↗
Some numerical methods for integrating systems of first-order ordinary differential equations
Report on numerical methods of integration includes the extrapolation methods of Bulirsch-Stoer and Neville. A comparison is made nith the Runge-Kutta and Adams-Moulton methods, and circumstances are discussed under which the extrapolation method may be preferred.
Clark, N. W.↗
Boundedness theorems and other mathematical studies of a Hodgkin-Huxley type system of differential equations - Numerical treatment of thresholds and stationary values
Boundedness theorem, thresholds, and stationary values in modified Huxley-Hodgkin model for electric current flow through cell membrane
Brady, S. W.↗
Error compensation for hybrid-computer solution of linear differential equations
Z-transform technique compensates for digital transport delay and digital-to-analog hold. Method determines best values for compensation constants in multi-step and Taylor series projections. Technique also provides hybrid-calculation error compared to continuous exact solution, plus system stability properties.
Kemp, N. H.↗
Numerical integration of second order differential equations
Performance characteristics of higher order approximations of Runge-Kutta type are analyzed, and performance predictors for time required on machine and for error size are developed. Technique is useful in evaluating system performance, analyzing material characteristics, and designing inertial guidance and nuclear instrumentation and materials.
Shanks, E. B.↗
Error evaluation for difference approximations to ordinary differential equations
Method involves relationships between errors introduced by using finite sampling rates and parameters describing specific numerical method used. Procedurre is used in design and analysi of digital filters and simulators.
Hammond, J. L., Jr.↗
Hybrid computer techniques for solving partial differential equations
Techniques overcome equipment limitations that restrict other computer techniques in solving trivial cases. The use of curve fitting by quadratic interpolation greatly reduces required digital storage space.
Hammond, J. L., Jr.↗
Similarity analysis of partial differential equations Final report
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Abbott, D. E.↗