History matching is a type of inverse problem in which observed reservoir behavior is used
to estimate reservoir model variables that caused the behavior. Obtaining even a single …

Multiphysics imaging or data inversion is of growing importance in many branches of
science and engineering. In geophysical sciences, there is a need for combining information …

Regularization methods are a key tool in the solution of inverse problems. They are used to
introduce prior knowledge and allow a robust approximation of ill-posed (pseudo-) inverses …

The purpose of this chapter is to provide a survey of our book by placing what we have to
say in a historical context. We obviously cannot give a complete account of inverse …

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 …

Ill-posed inverse problems arise in many branches of science and engineering. In the typical
situation one is interested in recovering a whole function given a finite number of noisy …

Developing an accurate first-principle model is an important step in employing systems
biology approaches to analyze an intracellular signaling pathway. However, an accurate first …

The authors consider non-linear ill-posed problems in a Hilbert space setting, they show that
Tikhonov regularisation is a stable method for solving non-linear ill-posed problems and …

This book introduces a comprehensive methodology for adaptive control design of parabolic
partial differential equations with unknown functional parameters, including reaction …

For dynamic distributed systems modeled by partial differential equations, existing methods
of sensor location in parameter estimation experiments are either limited to one-dimensional …