Generalized rational approximations with applications to problems in control theory Interim technical report
Rational approximations and solution of control theory problems involving Ricatti equations
Fair, W.↗
Engineering topics
Luke, Y. L.
Publications and source records attributed to Luke, Y. L..
Multiple precision computations on the IBM- 360 Interim technical report
Multiple precision subroutine source programs for IBM 360
Luke, Y. L.↗
Numerical integration of nonlinear differential equations by use of rational approximation Final report, 15 Jan. 1965 - 14 Jul. 1967
Numerical integration of nonlinear differential equations by use of rational approximation
NUMERICAL INTEGRATION↗
Rational approximations to the incomplete elliptic integrals of the first and second kinds.
Rational approximations to incomplete elliptic integral of first and second kinds derived by main diagonal Pade approximations
APPROXIMATION METHOD↗
Rational approximations to the generalized Duffing equation.
Rational approximation of generalized Duffing equation, damped mass spring oscillator equation and generalized second order Riccati equation
FORCED VIBRATION↗
Rational approximations to the solution of the second order Riccati equation.
Continued fraction rational approximations to solution of second-order nonlinear equation, including Ricatti equations treated by Merkes, Scott and Fair
APPROXIMATION METHOD↗
Analysis of the coupled frequencies and mode shapes of vehicle control systems Final report, 15 Apr. 1965 - 14 Apr. 1966
Coupled frequencies and mode shapes of vehicle control system
CONTROL SYSTEM↗
Rational approximations to the generalized Duffing equation Final report, 15 Jan. - 1965 - 14 Jan. 1966
Linear transformation to obtain rational approximation to response of physical system described by nonlinear differential equation including Duffing equation as special case
NONLINEAR EQUATION↗
Rational approximation to the response of a dynamic system described by a nonlinear differential equation final report, 15 jan. 1964 - 14 jan. 1965
Linear fractional transformation for obtaining rational approximations to response of physical system defined by second order nonlinear differential equation with constant coefficients
LINEAR TRANSFORMATION↗
Rational approximations to the solution of the second order Ricatti equation Technical report, 15 Jan. - 14 Oct. 1965
Rational approximations to solution of second order nonlinear Ricatti equation, using linear transformations - differential equations and operational calculus
DIFFERENTIAL EQUATION↗