Volker Schulz

Alfio Borzi

This book fills a gap between theory-oriented investigations in PDE-constrained optimization and the practical demands made by numerical solutions of PDE optimization problems. The authors discuss computational techniques representing recent developments that result from a combination of modern techniques for the numerical solution of PDEs and for sophisticated optimization schemes. The book offers readers a combined treatment of PDE-constrained optimization and uncertainties and an extensive discussion of multigrid optimization. It provides a bridge between continuous optimization and PDE modeling and focuses on the numerical solution of the corresponding problems.

Computational Optimization of Systems Governed by Partial Differential Equations

Rudolf Hänsel

Mark Blumenthal

V. E. Tyler

All practitioners and pharmacists interested in treatment with herbal remedies should have this book at their disposal. It is the definitive practice-oriented introduction - now in its fifth edition - to phytotherapy. Methodically classified by organic systems and fields of application, the text provides a quick insight into dosage, form of application and effects of the most important herbal remedies. Only those herbal remedies that are of pharmacological and clinical efficiency have been considered. The authors are highly experienced in the field of postgraduate medical education, and, with this work, present an indispensable reference book for the medical practice.

A Reference Guide for Physicians and Pharmacists

Rational Phytotherapy

Karl-Heinz Hoffmann

Ronald W. Hoppe

A collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. This welcome reference for many new results and recent methods is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory.

Workshop held at the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, May 8–12, 2000

Fast Solution of Discretized Optimization Problems

Diaraf Seck

The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers. This workshop, held at the AIMS Center Senegal, March 13-16, 2017, has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences.

DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017

Shape Optimization, Homogenization and Optimal Control

Sebastian Engell

Günter Leugering

Andreas Griewank

Michael Hinze

Rolf Rannacher

Michael Ulbrich

Stefan Ulbrich

This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization.

Constrained Optimization and Optimal Control for Partial Differential Equations

Volker Schulz

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