Results 271 to 280 of about 2,080,723 (304)

Solution of Nonlinear Equations

IEEE Transactions on Computers, 1968
Abstract—A new approach to solving a set of nonlinear equations, described by fi(x1, x2, . . ., xn) = 0, i= 1, 2, ..., n, is presented. The computation is carried out by simple matrix inversion and matrix multiplication without evaluation of ∂fi/∂xj. Thus, computation time is saved.
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On a Nonlinear Bessel Equation

SIAM Journal on Applied Mathematics, 1982
Numerical, power-series and asymptotic solutions are presented for the differential equation $F'' + r^{ - 1} F' - F + F^3 = 0( 0 < r < \infty )$ which arises in connection with self-focusing.
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Nonlinear Equations of Thermoviscoelectroelasticity

Mathematics and Mechanics of Solids, 1998
Nonlinear equations of thermoviscoelectroelasticity are derived with the electric field vector as the independent electric variable. The equations are linearized for small deformations and weak electric fields.
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A differential-equations algorithm for nonlinear equations

ACM Transactions on Mathematical Software, 1984
Summary: DAFNE is a set of FORTRAN subprograms for solving nonlinear equations that implements a method founded on the numerical solution of a Cauchy problem for a system of ordinary differential equations inspired by classical mechanics. This paper gives a detailed description of the method as implemented in DAFNE and reports on the numerical tests ...
Filippo Aluffi-Pentini, Valerio Parisi, Francesco Zirilli   +2 more
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THE NONLINEAR MATHIEU EQUATION

International Journal of Bifurcation and Chaos, 1994
The purpose of this paper is to classify the different sequences of bifurcation that can occur for small amplitude solutions to the nonlinear Mathieu equation near to the Mathieu regions of instability. We do this by using the Lindstedt-Poincare perturbation method to construct a vector field which interpolates the successive iterations of the ...
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Nonlinear elliptic equations with singular nonlinearities

Asymptotic Analysis, 2013
In this paper we study nonlinear elliptic boundary value problems with singular nonlinearities whose simplest example is −div (|∇u|p−2∇u)=f/uγ in Ω, u=0 on ∂Ω, where Ω is a bounded open set in RN (N≥2), γ>0 ...
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Numerical Solution of Nonlinear Equations

ACM Transactions on Mathematical Software, 1979
The numermal solutmn of n nonhnear equatmns in n varmbles using the methods of Newton, Brown, and Brent is drscussed. The algorithms are described in detail and their lmplementatmns are compared on a set of test problems.
Jorge J. Moré, Michel Cosnard
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Note on "Solution of Nonlinear Equations"

IEEE Transactions on Computers, 1969
Summary: The method for solution of a system of simultaneous nonlinear equations proposed by \textit{M. C. Y. Kuo} [IEEE Trans. Comput. 17, 897--898 (1968; Zbl 0167.45204)] gives the same results as one proposed by \textit{P. Wolfe} [Commun. ACM 2, No. 12, 12--13 (1959; Zbl 0093.13202)].
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Nonlinear equations with expansive nonlinearities

ANNALI DELL UNIVERSITA DI FERRARA, 1978
We prove existence and multiplicity theorems for nonlinear equations at resonance with expansive nonlinearities.
Ambrosetti, Antonio, Fucik, Svatopluk
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Comment on "Solution of Nonlinear Equations"

IEEE Transactions on Computers, 1969
Summary: A recently proposed approach to the solution of nonlinear equations [\textit{M. C. Y. Kuo}, IEEE Trans. Comput. 17, 897--898 (1968; Zbl 0167.45204)]] gives the same computing formulas as the generalized secant method. The effect of rounding-off errors is shown to be less than might be feared.
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