Results 241 to 250 of about 1,768,391 (280)

Numerical Differentiation, Quadrature and Interpolation

2004
A series of ef formulae tuned on functions of the form (3.38) or (3.39) are derived here by the procedure described in the previous chapter. We construct the ef coefficients for approximations of the first and the second derivative of y(x), for a set of quadrature rules, and for some simple interpolation formulae.
Liviu Gr. Ixaru, Guido Vanden Berghe
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Differential Quadrature for Reservoir Simulation

SPE Symposium on Reservoir Simulation, 1989
Abstract The application of the method of differential quadrature (Civan et al, 1984, 1988, 1988) is extended for efficient numerical solution of hydrocarbon reservoir models. This method approximates the partial derivatives by a sum of the discrete function values weighted according to a multi-dimensional polynomial.
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Differential Equations Solvable by Quadrature

1992
By a differential equation with separable variables we understand the equation of the form $$y'{\text{ }} = {\text{ }}f(x)g(y)$$ (1)
Gheorghe Micula, Paraschiva Pavel
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THE GENERALIZED DIFFERENTIAL QUADRATURE RULE FOR INITIAL-VALUE DIFFERENTIAL EQUATIONS

Journal of Sound and Vibration, 2000
Summary: The generalized differential quadrature rule (GDQR) proposed recently by the authors is applied here to solve initial-value differential equations of the 2nd to 4th order. Differential quadrature expressions are derived based on the GDQR for these equations. The Hermite interpolation functions are used as trial functions to obtain the explicit
Wu, T.Y., Liu, G.R.
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The generalized differential quadrature rule for fourth‐order differential equations

International Journal for Numerical Methods in Engineering, 2001
AbstractThe generalized differential quadrature rule (GDQR) proposed here is aimed at solving high‐order differential equations. The improved approach is completely exempted from the use of the existing δ‐point technique by applying multiple conditions in a rigorous manner.
Wu, T.Y., Liu, G.R.
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Differential phase quadrature surface profiling interferometer

Applied Optics, 1990
This paper describes an optical surface profiling system based on phase quadrature differential interferometry. The optical path difference between two adjacent optical probe beams is measured. Interference phase calculation and sample scanning is controlled by a PC computer.
B A, Omar, A J, Holloway, D C, Emmony
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A differential quadrature algorithm for nonlinear Schrödinger equation

Nonlinear Dynamics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Korkmaz, Alper, Dag, Idris
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Inverse Differential Quadrature Method

2.1 Introduction Problems in engineering are typically governed by a system of high-order differential equations subject to various constraints, typically at boundaries, which require efficient numerical methods to provide reliable solutions.
Saheed O. Ojo, Hasan M. Khalid, Aniket G. Chanda, Paul M. Weaver   +3 more
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Differential Quadrature

1986
Richard E. Bellman, Robert S. Roth
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Differential Quadrature

1985
Richard Bellman, George Adomian
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