Neural network error correction for solving coupled ordinary differential equations

Conference · Tue Dec 31 23:00:00 EST 1991

OSTI ID:5521076

Shelton, R O ^[1]; Darsey, J A ^[2]; Sumpter, B G; Noid, D W ^[3]

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1. National Aeronautics and Space Administration, Houston, TX (United States). Lyndon B. Johnson Space Center
2. Arkansas Univ., Little Rock, AR (United States)
3. Oak Ridge National Lab., TN (United States)

A neural network is demonstrated to learn errors generated by a numerical algorithm for solving coupled nonlinear differential equations. Comparisons are made for training the neural network using backpropagation and a new method which is found to converge with fewer iterations.

• Research Organization: Oak Ridge National Lab., TN (United States)
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 5521076
• Report Number(s): CONF-9206102-2; ON: DE92007241
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
ALGORITHMS
CORRECTIONS
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
ERRORS
FUNCTIONS
HAMILTONIANS
HARMONIC OSCILLATORS
ITERATIVE METHODS
LEARNING
MATHEMATICAL LOGIC
MATHEMATICAL OPERATORS
NEURAL NETWORKS
NONLINEAR PROBLEMS
OSCILLATORS
QUANTUM OPERATORS
TRANSFER FUNCTIONS