An Explicit Sixth-Order Runge-Kutta Formula
Sixth order Runge-Kutta formula for differential equation system with vector valued functions
Luther, H. A.↗
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Reflection laws of systems of second order elliptic differential equations in two independent variables with constant coefficients.
Second order elliptic differential equation system solution reflection behavior, noting constant coefficients and boundary conditions
Sloss, J. M.↗
Cycle slipping in a first-order phase-locked loop.
Cycle slipping in first order phase locked loop determined by input carrier plus noise model based on induced steps of plus or minus 2 pi
Hess, D. T.↗
Internal deformation and fracture of second- order /1011/-/1012/ twins in magnesium.
Internal deformation and fracture of second order /1011/-/1012/ twins in Mg single crystals, noting large strains
Hartt, W. H.↗
Second order conditions of optimality for constrained optimization problems in finite dimensional spaces.
Second order necessary conditions of optimality for constrained optimization problems in finite dimensional spaces with vanished cost function gradient at optimal point
Messerli, E. J.↗
Determination of low-order resonant gravity harmonics from the drift of two Russian 12- hour satellites.
Low order resonant gravity harmonics determination from Soviet 12-hour satellites drift
Wagner, C. A.↗
A time optimal control study of a second-order linear system with delay.
Time optimal control function and optimal trajectories solved for second order linear system with constant time delay
Kashiwagi, Y.↗
Structure of the ordered compound V sub 6 C sub 5.
Structure of ordered compound vanadium carbide, discussing carbon vacancy in hexagonal superlattice and domain structure
Kahn, D.↗
Reflection laws of high order elliptic differential equations in two independent variables with constant coefficients and unequal characteristics across analytic boundary conditions.
Reflection laws of high order elliptic differential equations in two independent variables with constant coefficients and unequal characteristics across analytic boundary conditions
Sloss, J. M.↗
Variational upper bounds to second-order energies for excited states.
Excited state energy upper bounds in second order perturbation theory using Hylleraas variational principle
Epstein, S. T.↗
Numerical integration of ordinary differential equations of various orders
Report describes techniques for the numerical integration of differential equations of various orders. Modified multistep predictor-corrector methods for general initial-value problems are discussed and new methods are introduced.
Gear, C. W.↗
Improved first order interpolator
Data compression method enables first order interpolator to operate at higher speeds. Method requires same number of additions and subtractions but fewer multiplications than the conventional method.
Andrews, C. A.↗
Method reduces computer time for smoothing functions and derivatives through ninth order polynomials
Analysis presented is an efficient technique to adjust previously calculated orthogonal polynomial coefficients for an odd number of equally spaced data points. The adjusting technique derivation is for a ninth order polynomial. It reduces computer time for smoothing functions.
Glauz, R. D.↗
Orderly three-dimensional processes in turbulent boundary layers on ablating bodies
Orderly three dimensional processes in turbulent boundary layers on biconic, concave, and convex ablating bodies in Mach 7 airstream
Canning, T. N.↗
Examination of accelerated first order methods for aircraft flight path optimization
Accelerated first order methods for aircraft flight path optimization
Denham, W. F.↗
The non-linear transient behavior of second, third and fourth order phase-locked loops
Non-linear transient behavior of second, third, and fourth order phase-locked loops
Carden, F. F.↗
Computer-aided design of second and third-order systems with parameter variations and time response constraints
Computerized design of second and third order systems with parameter variations and time response constraints
Smay, J. W.↗
Improved coefficients of the thirteenth order harmonics of the geopotential derived from satellite Doppler data at three different orbital inclinations
Improved coefficients of thirteenth order harmonics of geopotential derived from satellite Doppler data at three orbital inclinations
Yionoulis, S. M.↗