In this collection of essays one finds contributions from Davide Buoso, Giuseppe Buttazzo, Michel Delfour, Gianpaolo Leonardi, Dario Mazzoleni, Al-hassem Nayam, Alberto Paganini, Volker Schulz, Jan Sokolowski, Kevin Sturm, Michiel Van den Berg, Bozhidar Velichkov and Alessandro Zilio. New trends in Shape Optimization was the title of a Workshop that we have organized in Erlangen in September 2013. We have had a very interesting week with many contributions by both senior mathematicians and young students; in particular, many open problems have been described, and a fruitful spontaneous...
In this collection of essays one finds contributions from Davide Buoso, Giuseppe Buttazzo, Michel Delfour, Gianpaolo Leonardi, Dario Mazzoleni, Al-has...
This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly...
This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The model...
Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists address current topics such as non-smooth optimization, Hamilton Jacobi Bellmann equations, issues in optimization and control of stochastic partial...
Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influe...
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible...
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presentin...
This book connects mathematics with civil engineering, applying complex modeling to support optimal decisions in water management. Covers mixed-integer optimization, multi-objective and facility location optimization, as well as control of hybrid systems.
This book connects mathematics with civil engineering, applying complex modeling to support optimal decisions in water management. Covers mixed-intege...
