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…
Numerical Analysis
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.…
Special chapters of mathematical analysis
Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:Author,…
Numerical benchmark study for flow in highly heterogeneous aquifers
AbstractThis article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in…
On the convergence of the Newton-GMBACK method
AbstractWhen the GMBACK solver is used in the Newton iterates, the iterates may be written either as inexact Newton iterates…
Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem
AbstractAn elliptic one-dimensional second order boundary value problem involving discontinuous coefficients, with or without transmission conditions, is considered. For the…