This book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …

Computing has become a third branch of research, joining the traditional practices of
theorization and laboratory experimentation and verification. Due to the expense and …

Methods for the numerical simulation of dynamic mathematical models have been the focus
of intensive research for well over 60 years. However, rather than reaching closure, there is …

We present and analyze a new stable space–time Isogeometric Analysis (IgA) method for
the numerical solution of parabolic evolution equations in fixed and moving spatial …

Research on multigrid methods for optimization problems is reviewed. Optimization
problems considered include shape design, parameter optimization, and optimal control …

We analyze a space-time domain decomposition iteration, for a model advection diffusion
equation in one and two dimensions. The discretization of this iteration is the block red-black …

Au cours de l'histoire, les méthodes de calcul ont été l'expression de pratiques sans cesse
renouvelées. Le développement de l'informatique a largement contribué à une rapide …

Decomposition Methods for Differential Equations: Theory and Applications describes the
analysis of numerical methods for evolution equations based on temporal and spatial …

This work explains how to solve evolution equations via novel iterative-based splitting
methods that efficiently use computational and memory resources. It focuses on systems of …

Chapter 4 introduces the mathematics and biophysics of simulating ion transport through
biological channels. Understanding how ion channels work has become a hot and very …