DSpace Collection:
192.168.6.56/handle/123456789/62
2024-03-29T15:07:01ZFront Tracking for Hyperbolic Conservation Laws
192.168.6.56/handle/123456789/77295
Title: Front Tracking for Hyperbolic Conservation Laws
Authors: Holden, Helge
Description: In this edition we have added the following new material: In Chapt. 1 we have added
a section on linear equations, which allows us to present some of the material in the
book in the simpler linear setting. In Chapt. 2 we have made some changes in the
presentation of Kružkov’s fundamental doubling of variables method. In Chapt. 3
on finite difference methods the focus has been changed to finite volume methods.
A section on higher-order schemes has been added. The section on measure-valued
solutions has been rewritten. The main existence theorem in Chapt. 4, Theorem 4.3,
now resembles the one-dimensional case. The presentation of the solution of the
Riemann problem for systems in Chapt. 5 has been supplemented by the complete
solution of the Riemann problem for the 3 3 Euler equations of gas dynamics.
The solution of the Cauchy problem for systems in Chapt. 6 has been rewritten
and simplified. We have added a new chapter, Chapt. 8, on one-dimensional scalar
conservation laws where the flux function depends explicitly on space in a discontinuous manner2015-01-01T00:00:00ZExcursions in HarmonicAnalysis, Volume 3The February Fourier Talks at the NorbertWiener Center
192.168.6.56/handle/123456789/77240
Title: Excursions in HarmonicAnalysis, Volume 3The February Fourier Talks at the NorbertWiener Center
Authors: Balan, Radu
Description: The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide
the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract harmonic analysis to basic applications. The title of the series reflects the importance of applications and numerical implementation, but richness and relevance of applications and implementation
depend fundamentally on the structure and depth of theoretical underpinnings. Thus,
from our point of view, the interleaving of theory and applications and their creative
symbiotic evolution is axiomatic.2015-01-01T00:00:00ZCurrents in Industrial MathematicsFrom Concepts to Research to Education
192.168.6.56/handle/123456789/77236
Title: Currents in Industrial MathematicsFrom Concepts to Research to Education
Authors: Neunzert, Helmut
Description: In writing this book, we have kept quite diverse groups of readers in mind: First, there
are the people in industry and business, to whom we wish to make clear that mathematicians don’t just discuss or analyze problems, they also solve them. Second, there are the
university mathematicians, whom we want to convince that this approach can also provide new impulses to mathematics. Third, there are university students, who want to know, and
with good reason, what they will really be doing later in their professional lives—for only
a small number of them will lecture at universities. And finally, there are those who want
to become teachers or who already are; this group can read how mathematics instruction
in the classroom can be revitalized.2015-01-01T00:00:00ZCoupled Multiscale Simulation and Optimization in Nanoelectronics
192.168.6.56/handle/123456789/77234
Title: Coupled Multiscale Simulation and Optimization in Nanoelectronics
Authors: Günther, Michael
Abstract: Abstract This chapter serves as an introduction into the outcome of the COMSON
project, and links the subsequent chapters to the overall idea of COMSON and its
objectives. We start with a discussion of the state-of-the-art and open problems in
nanoelectronics simulation at the timepoint when the COMSON Project was started.
Therefrom the main scientific objectives of the COMSON project are derived.
Special attention is devoted to a uniform methodology for both testing the new
achievements and simultaneously educating young researchers: All mathematical
codes are linked into a new Demonstrator Platform (Chap. 8), which itself is
embedded into an E-Learning environment (Chap. 9). Subsequently the scientific
objectives are shortly reviewed. They comprise: (i) Development of new coupled
mathematical models, capturing the mutual interactions between the physical
domains of interest in nanoelectronis. These are based on the PDAE approach
(Chap. 2). (ii) Investigation of numerical methods to simulate these models. Our
focus is on dynamic iteration schemes (Chap. 3) and for efficiency on MOR
techniques (Chaps. 4–6). (iii) Usage of models and simulation tools for optimal
design of nano electronic circuits by means of multi-objective optimisation in a
compound design space (Chap. 7).2015-01-01T00:00:00Z