Applications of the Moore-Penrose inverse in digital image restoration.
Applying approximate LU-factorizations as preconditioners in eight iterative methods for solving systems of linear algebraic equations
Many problems arising in different fields of science and engineering can be reduced, by applying some appropriate discretization, either to a system of linear algebraic equations or to a sequence of such systems. The solution of a system of linear algebraic equations is very often the most time-consuming part of the computational process during the treatment of the original problem, because these systems can be very large (containing up to many millions of equations). It is, therefore, important...
Applying He's variational iteration method for solving differential-difference equation.
Approximants de Padé-Hermite. 1ère partie: théorie.
Approximants de Padé-Hermite. 2ème partie: programmation.
«Approximate approximations» and the cubature of potentials
The paper discusses new cubature formulas for classical integral operators of mathematical physics based on the «approximate approximation» of the density with Gaussian and related functions. We derive formulas for the cubature of harmonic, elastic and diffraction potentials approximating with high order in some range relevant for numerical computations. We prove error estimates and provide numerical results for the Newton potential.
Approximate determination of eigenvalues and eigenvectors of selfadjoint operators
Approximate Fekete points for weighted polynomial interpolation.
Approximate general solution of degenerate parabolic equations related to population genetics.
Approximate implicitization of parametric curves using cubic algebraic splines.
Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation
Approximate maximum likelihood estimation for a spatial point pattern.
Several authors have proposed stochastic and non-stochastic approximations to the maximum likelihood estimate for a spatial point pattern. This approximation is necessary because of the difficulty of evaluating the normalizing constant. However, it appears to be neither a general theory which provides grounds for preferring a particular method, nor any extensive empirical comparisons. In this paper, we review five general methods based on approximations to the maximum likelihood estimate which have...
Approximate methods for calculating the period of oscillations for the generalized Lienard's differential equation
Approximate methods for linear integral equations of the first kind
Approximate methods for solving differential equations on infinite interval
Approximate multiplication in adaptive wavelet methods
Cohen, Dahmen and DeVore designed in [Adaptive wavelet methods for elliptic operator equations: convergence rates, Math. Comp., 2001, 70(233), 27–75] and [Adaptive wavelet methods II¶beyond the elliptic case, Found. Comput. Math., 2002, 2(3), 203–245] a general concept for solving operator equations. Its essential steps are: transformation of the variational formulation into the well-conditioned infinite-dimensional l 2-problem, finding the convergent iteration process for the l 2-problem and finally...
Approximate solution of a certain class of nonlinear singular integral equations.
Approximate solution of stochastic programming problems with recourse
Approximate solution of the one-dimensional heat conduction equation by the boundary element method
Approximate solutions and error bounds for second order operator differential equations