Analysis of aggregation-based multigrid
AbstractAggregation-based multigrid with standard piecewise constant like prolongation is investigated. Unknowns are aggregated either by pairs or by quadruplets; in…
Numerical Analysis
Unsteady boundary layer flow and heat transfer over a stretching sheet
AbstractUnsteady two-dimensional boundary layer flow and heat transfer over a stretching flat plate in a viscous and incompressible fluid of…
Mixed convection flow near an axisymmetric stagnation point on a vertical cylinder
AbstractThe mixed convection flow near an axisymmetric stagnation point on a vertical cylinder is considered. The equations for the fluid…
An implicit numerical spline method for systems for ODEs
Abstract An implicit numerical method is introduced that gives piecewise polynomial spline approximations for the solution of an initial value…
On the nonmonotone behavior of the Newton‐GMBACK method
AbstractGMBACK is a Krylov solver for large linear systems, which is based on backward error minimization properties. The minimum backward…
A mixed iteration for nonnegative matrix factorizations
Abstract We show that, under appropriate conditions, one can create a hybrid between two given iterations which can perform better…
Spectral Methods for Differential Problems
Book summarySummary of the book… Book cover Contents clickableI First Part 1 Chebyshev polynomials 1.1 General properties 1.2 Fourier and…
Spectral Methods for Non-Standard Eigenvalue Problems. Fluid and Structural Mechanics and Beyond
Book summarySummary of the book… Book titleSpectral Methods for Non-Standard Eigenvalue Problems Book subtitleFluid and Structural Mechanics and Beyond Book…
Methods of Newton and Newton-Krylov type
Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by…
Spectral collocation solutions to a class of pseudo-parabolic equations
AbstractIn this paper we solve by method of lines (MoL) a class of pseudo-parabolic PDEs defined on the real line.…