Results 251 to 260 of about 5,991,687 (297)

Kinematic flow approximation to runoff on a plane: An approximate analytic solution

Journal of Hydrology, 1983
Abstract A new theory is given which relates excess rainfall to runoff for overland flow on a plane. The theory assumes that rate of change of water flux with distance down the plane is constant at any time, but its variation with time is such that runoff from the plane is exact. It follows that mass of water is conserved for the entire runoff event,
Rose, C. W., Parlange, J.-Y., Sander, G. C., Campbell, S. Y., Barry, D. A.   +4 more
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On Approximate Analytical Solutions for Vibrations in Cracked Plates

Applied Mechanics and Materials, 2006
Recent NATO funded research on methods for detection and interpretation methodologies for damage detection in aircraft panel structures has motivated work on low-order nonlinear analytical modelling of vibrations in cracked isotropic plates, typically in the form of aluminium aircraft panels.
Israr, Asif, Cartmell, Matthew P., Krawczuk, Marek, Ostachowicz, Wieslaw, Manoach, Emil, Trendafilova, I., Shishkina, E.V., Palacz, M.   +7 more
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Approximate Solutions of Analytic Inequality Systems

SIAM Journal on Optimization, 2000
We consider the stability problem for a system of equalities and inequalities. We prove that when such a system is satisfied approximately at a certain point, it is also satisfied exactly on a nearby point.
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An analytical approximate solution to the problem of precautionary savings [PDF]

Journal of Economic Dynamics and Control, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ANALYTICAL APPROXIMATION OF THE SOLUTION OF A GEODESIC PROBLEM

Mechanics of Solids, 2021
The problem of analytical synthesis of functions approximating the dependence of the length of the geodetic line on the navigation parameters of its start and end points for the spheroid and the Earth sphere has been solved. The dependences approximating the length of the geodetic line are determined for both the reduced and geodetic latitudes ...
P. A. Kucherenko, S. V. Sokolov
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Approximate Analytical Solution of the Nonlinear Bethe Equation

International Journal of Applied and Computational Mathematics, 2019
The authors consider the Bethe equation, which is a nonlinear differential equation, describing the energy loss of electrons when they penetrate a material. They have used the Laplace Adomian decomposition method (LADM) to solve this equation approximated by \[ \frac{du}{dx}+\frac{ln(u+1)}{u}=0,\quad u(0)=u_0, \] where \(u\) is a dimensionless measure ...
O. González-Gaxiola, G. Chacón-Acosta, A. León-Ramírez   +2 more
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Analytical Approximation of the Solution of the Dissipative Standard Map

International Journal of Bifurcation and Chaos, 1998
We consider a dissipative mapping derived from a modification of the Chirikov standard mapping. For simplicity, we assume that the dissipative strength is of the order of the square of the perturbing parameter of the conservative model. Under this assumption, we derive an analytical approximation of the solution associated to the dissipative mapping ...
CELLETTI, ALESSANDRA, Della Penna, G, Froeschle', C.   +2 more
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Approximate analytic solutions to the NPDD: Short exposure approximations

Optics Communications, 2014
Abstract There have been many attempts to accurately describe the photochemical processes that take places in photopolymer materials. As the models have become more accurate, solving them has become more numerically intensive and more ‘opaque’. Recent models incorporate the major photochemical reactions taking place as well as the diffusion effects ...
Ciara E. Close, John T. Sheridan
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Approximate Analytical Solution for Solute Flow During Infiltration and Redistribution

Soil Science Society of America Journal, 1978
Abstract An approximate analytical solution is developed to describe solute flow in soil during infiltration and redistribution. For the solution it is assumed that hydrodynamic dispersion is linearly related to the pore water velocity. In order to use the solution it is necessary to estimate the solute penetration depth.
De Smedt, Florimond, Wierenga, P.J.
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Chebyshev Approximation of the Analytical Solution of Dirichlet Problem

Journal of Computational Mathematics, 1993
In this paper linear programming method for minimax approximation is used to obtain an approximation to the analytical solution of a Dirichlet problem using the logarithmic potential function as an approximating function. This approach has the advantage of producing a better approximation than that using other solution of the potential equation as an ...
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