The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as it introduces new …
The book is the follow-up to its predecessor “Automation, Communication and Cybernetics in Science and Engineering 2009/2010” and includes a representative selection of all scientific publications published between 07/2011 and 06/2012 in various books, journals and conference proceedings by the researchers of the following institute cluster: IMA - Institute of Information Management in M…
The book is the follow-up to its predecessor “Automation, Communication and Cybernetics in Science and Engineering 2009/2010” and includes a representative selection of all scientific publications published between 07/2011 and 06/2012 in various books, journals and conference proceedings by the researchers of the following institute cluster: IMA - Institute of Information Management in M…
This book presents the state-of-the-art in simulation on supercomputers. Leading researchers present results achieved on systems of the High Performance Computing Center Stuttgart (HLRS) for the year 2012. The reports cover all fields of computational science and engineering ranging from CFD via computational physics and chemistry to computer science with a special emphasis on industrially rele…
This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a mi…
Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of the present volume. For diffusions, the killing is at the boundary and for dynamical systems there is a trap. The authors present the QSDs as the ones that allow describing the long-term behavior conditioned to not being killed. Studies in this research area started with Kolmogorov and Yaglom and in the…
Meshfree methods are a modern alternative to classical mesh-based discretization techniques such as finite differences or finite element methods. Especially in a time-dependent setting or in the treatment of problems with strongly singular solutions their independence of a mesh makes these methods highly attractive. This volume collects selected papers presented at the Sixth International Works…
No Inv.: 121219/PH/Perp/09/1c~134228-134232,P/Perp/13/SM/5c~133974/SM/Perp/12/1c
This is an unusual book because it contains a great deal of formulas. Hence it is a blend of monograph, textbook, and handbook.It is intended for students and researchers who need quick access to useful formulas appearing in the linear regression model and related matrix theory. This is not a regular textbook - this is supporting material for courses given in linear statistical models. Such …