Nonlinear and robust control of PDE systems: Methods and applications to transport-reaction processes

PD Christofides, J Chow - Appl. Mech. Rev., 2002 - asmedigitalcollection.asme.org
The author attempts to portray the ideas and general principles of the theory of materials
within the framework of phenomenological continuum mechanics. It is a well-written rigorous …

The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017 - cambridge.org
Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

[BOOK][B] Uncertainty quantification: theory, implementation, and applications

RC Smith - 2024 - SIAM
Uncertainty quantification serves a central role for simulation-based analysis of physical,
engineering, and biological applications using mechanistic models. From a broad …

[BOOK][B] An introduction to infinite-dimensional linear systems theory

RF Curtain, H Zwart - 2012 - books.google.com
Infinite dimensional systems is now an established area of research. Given the recent trend
in systems theory and in applications towards a synthesis of time-and frequency-domain …

[BOOK][B] Variational analysis and generalized differentiation II: Applications

BS Mordukhovich - 2006 - Springer
Variational analysis has been recognized as a fruitful area in mathematics that on the one
hand deals with the study of optimization and equilibrium problems and on the other hand …

[BOOK][B] Computational methods for inverse problems

CR Vogel - 2002 - SIAM
The field of inverse problems has experienced explosive growth in the last few decades.
This is due in part to the importance of applications, like biomedical and seismic imaging …

[BOOK][B] An introduction to the mathematical theory of inverse problems

A Kirsch - 2011 - Springer
2 Introduction that the law of formation has been found. The corresponding direct problem is
to evaluate the sequence (an) given the law of formation. It is clear that such inverse …

[BOOK][B] Optimal control applied to biological models

S Lenhart, JT Workman - 2007 - taylorfrancis.com
From economics and business to the biological sciences to physics and engineering,
professionals successfully use the powerful mathematical tool of optimal control to make …

[BOOK][B] Observation and control for operator semigroups

M Tucsnak, G Weiss - 2009 - books.google.com
Page 1 BIRKHAUSER Birkhäuser Advanced Texts Marius Tucsnak George Weiss Observation
and Control for Operator Semigroups Page 2 BIRKHAUSER Page 3 Birkhäuser Advanced …

Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations: application to transport and …

G Rozza, DBP Huynh, AT Patera - Archives of Computational Methods in …, 2008 - Springer
In this paper we consider (hierarchical, Lagrange) reduced basis approximation and a
posteriori error estimation for linear functional outputs of affinely parametrized elliptic …