Study of non-linear optimization techniques
Nonlinear optimization techniques in dynamic programming and solution of ordinary nonlinear differential equations by Runge-Kutta method
Shanks, E. B.↗
Engineering topics
Shanks, E. B.
Publications and source records attributed to Shanks, E. B..
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.↗
Solutions of differential equations by evaluations of functions.
Runge-Kutta fourth order formula used to obtain approximate solution to differential equations
RUNGE-KUTTA INTEGRATION↗
Higher order approximations of runge-kutta type
Runge-Kutta integration for higher order differential equation solution
CALCULUS↗
A MATHEMATICAL TREATMENT OF THE PROBLEM OF DETERMINING THE EIGENVALUES ASSOCIATED WITH A PARTITION FUNCTION OF AN ATOM IN THE INTERIOR OF A PLASMA
Eigenvalues associated with partition function of atoms in interior of plasmas - mathematical treatment of ionization
IONIZATION↗
A RECURSION RELATION ASSOCIATED WITH A CERTAIN SPECIAL TYPE DETERMINANT
Recursion relation developed from certain determinants, computational routine to evaluate such determinants
RECURSION FORMULA↗
Performance characteristics of higher order approximations of runge-kutta type
Performance characteristics of higher order approximations of Runge-Kutta type
RUNGE-KUTTA INTEGRATION↗