Laguerre collocation solutions to boundary layer type problems
AbstractIn this paper a Laguerre collocation type method based on usual Laguerre functions is designed in order to solve high…
Numerical Analysis
Pseudospectral solutions to some singular nonlinear BVPs. Applications in nonlinear mechanics
AbstractWe solve by Laguerre collocation method two second order genuinely nonlinear singularly perturbed boundary value problems and a fourth order…
Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems
AbstractIn numerous science and engineering applications a partial differential equation has to be solved on some fairly regular domain that…
Spectral collocation solutions to multiparameter Mathieu’s system
AbstractOur main aim is the accurate computation of a large number of specified eigenvalues and eigenvectors of Mathieu’s system as…
Stable spectral collocation solutions to a class of Benjamin Bona Mahony initial value problem
AbstractWe are concerned with stable spectral collocation solutions to non-periodic Benjamin Bona Mahony (BBM), modified BBM and Benjamin Bona Mahony-Burgers…
Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study
AbstractThis work deals with a comparison of different numerical schemes for the simulation of contaminant transport in heterogeneous porous media.…
A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity
AbstractWe investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces…
Solution of a polylocal problem with a pseudospectral method
Abstract Consider the problem: $$y”(x) + f(x, y) = 0, \ \ x \in [0, 1], y(a) = \alpha, y(b)…
On the convergence of some one step and multistep iterative methods
Abstract AuthorIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) Keywordsnonlinear equations in R; one step iterative methods; multistep iterative methods;…
On computational complexity in solving equations by Steffensen type methods
Abstract AuthorsIon Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Keywordsnonlinear equations in R; iterative methods; Steffensen method.…