Block incremental unknowns for anisotropic elliptic equations
AbstractIn this article, we define the notion of block incremental unknowns for anisotropic elliptic equations. Written in a block structure,…
2002
On an approximation operator and its Lipschitz constant
AbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…
Numerical Modeling of Solute Transport in Heterogeneous Aquifers
AbstractAuthorsN. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy C. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy H. Vereecken…
Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part II. Indirect approximation
AbstractIn this paper, we continue the study initiated in our previous work [3] and design a projection-like algorithm to approximate…
Direct and indirect approximations to positive solution for a nonlinear reaction-diffusion problem. Part I. Direct (variational) approximation
AbstractPublisher NameWe consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion precesses. When the reaction term has…
On the Misra-Prigogine-Courbage theory of irreversibility
AbstractStochastic processes and dynamical systems in measure spaces are defined as classes of random variables in the Doob sense. Markov…
On the superlinear convergence of the successive approximations method
Abstract The Ostrowski theorem is a classical result which ensures the attraction of all the successive approximations xk+1 = G(xk) near a fixed…
Affine invariant conditions for the inexact perturbed Newton method
Abstract The high q-convergence orders of the inexact Newton iterates were characterized by Ypma in terms of some affine invariant…
On the approximation of solutions to nonlinear operators between metric spaces
Abstract A Gauss-Seidel method for linear systems, based on decomposing the matrix system into four submatrices blocks, has been proposed…
On a third order iterative method for solving polynomial operator equations
Abstract We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree (2).…
Publications
Spectral collocation solutions to second order singular Sturm-Liouville eigenproblems
AbstractWe comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint…
Read More Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations
AbstractWe are concerned with the study of some classical spectral collocation methods as well as with the new software system Chebfun in computing high order eigenpairs of singular and regular…
Read More Accurate spectral collocation solutions to some Bratu’s type Boundary Value Problems
AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems are formulated on the square domain [−1, 1] × [−1,…
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