Results 1 to 10 of about 11,828,995 (144)

High-precision newton-kantorovich method for nonlinear integral equations

CoRR
The paper considers the numerical solution of nonlinear integral equations using the Newton-Kantorovich method with the mpmath library. High-precision quadrature of the kernel K(t, s, u) with respect to the variable s for fixed t increases stability and accuracy in problems sensitive to rounding and dispersion.
Kirill A. Chertoganov, Valery I. Shipalov   +1 more
openaire   +3 more sources

Iterative methods for solving quadratic Volterra integral equations of the first kind

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The paper is devoted to the numerical study of integral equations of the first kind with quadratic nonlinearity, which are part of the generalized Volterra integropower series and describe dynamical systems with one input and one output. Such
A.N. Tynda
doaj   +1 more source

The Stress-strain State of the Rubber-metall Seismic Bearing

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
This work is devoted to elaboration of finite element approach for the numerical analysis of parameters of the stress-strain state of the rubber-metal seismic bearing under viscoelastic deformation in the presence of layers of porous rubber.
Sergej I Gomenjuk, Sergej N Grebenjuk, Anna A Bova, Vasilij Z Jurechko   +3 more
doaj   +1 more source

On the acceleration of the convergence of certain iterative proceedings (II)

Journal of Numerical Analysis and Approximation Theory, 2010
The research reflected in this paper has its origin in the study of the convergence of the sequences generated through the use of certain methods derived from the well-known Newton-Kantorovich method for the approximation of the solution of an equation ...
Adrian Diaconu
doaj   +2 more sources

Identification of Input Signals in Integral Models of One Class of Nonlinear Dynamic Systems

Известия Иркутского государственного университета: Серия "Математика", 2019
The problem of restoring input signals is one of the intense developing research areas and is the intersection of the mathematical modeling theory, the automatic control theory and the inverse problems theory.
S. V. Solodusha
doaj   +1 more source

On the acceleration of the convergence of certain iterative proceedings (I)

Journal of Numerical Analysis and Approximation Theory, 2009
The research elaborated in this paper has its origin in the study of the convergence of the sequences generated through the use of certain methods derived from the well-known Newton-Kantorovich method for the simultaneous approximation of the solution of
Adrian Diaconu
doaj   +2 more sources

A hybrid computational scheme for singularly perturbed Burgers’-Huxley equation

MethodsX
This paper aims to construct and analyze a hybrid computational method for the nonlinear singularly perturbed Burgers’-Huxley equation. The presence of the perturbation parameter and non-linearity in the considered problem makes it difficult to solve the
Imiru Takele Daba, Genanew Gofe Gonfa
doaj   +1 more source

On approximating the solutions of equations by the chord method and a method of Aitken-Steffensen type

Journal of Numerical Analysis and Approximation Theory, 2013
In [13] we have studied the existence and the convergence of iterative methods that use generalized abstract divided differences (this notion being defined there). We have indicated a construction model for these differences as well.
Adrian Diaconu
doaj   +2 more sources

The Fréchet–Newton Scheme for SV-HJB: Stability Analysis via Fixed-Point Theory

Axioms
This paper investigates the optimal portfolio control problem under a stochastic volatility model, whose dynamics are governed by a highly nonlinear Hamilton–Jacobi–Bellman equation.
Mehran Paziresh, Karim Ivaz, Mariyan Milev   +2 more
doaj   +1 more source

Newton's method in Riemannian manifolds

Journal of Numerical Analysis and Approximation Theory, 2008
Using more precise majorizing sequences than before [1], [8], and under the same computational cost, we provide a finer semilocal convergence analysis of Newton's method in Riemannian manifolds with the following advantages: larger convergence domain ...
Ioannis K. Argyros
doaj   +2 more sources