Jacobian-free Newton–Krylov (JFNK) methods are synergistic combinations of Newton-type
methods for superlinearly convergent solution of nonlinear equations and Krylov subspace …

A new set of benchmarks has been developed for the performance evaluation of highly
parallel supercomputers. These benchmarks consist of five 'parallel kernel” benchmarks and …

Techniques from numerical analysis and crystallographic refinement have been combined
to produce a variant of the Truncated Newton nonlinear optimization procedure. The new …

In this paper, a new algorithm for the solution of large-scale systems of differential-algebraic
equations is described. It is based on the integration methods in the solver DASSL, but …

Mathematical models when simulating the behavior of physical, chemical, and biological
systems often include one or more ordinary differential equations (ODEs). To study the …

Inexact Newton algorithms are commonly used for solving large sparse nonlinear system of
equations F(u^∗)=0 arising, for example, from the discretization of partial differential …

" Models are often the only way of interpreting measurements to in vestigate long-range
transport, and this is the reason for the emphasis on them in many research programs". BEA …

We explore Davidson methods for obtaining excitation energies and other linear response
properties within the recently developed quantum self-consistent linear response (q-sc-LR) …

Methods are presented for time evolution, steady-state solving and linear stability analysis
for the incompressible Navier-Stokes equations at low to moderate Reynolds numbers. The …

This book addresses the mathematical aspects of semiconductor modeling, with particular
attention focused on the drift-diffusion model. The aim is to provide a rigorous basis for those …