192.168.6.56/handle/123456789/62 2026-04-08T18:29:20Z 2026-04-08T18:29:20Z Holden, Helge 192.168.6.56/handle/123456789/77295 2020-07-28T06:25:24Z 2015-01-01T00:00:00Z

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 manner

2015-01-01T00:00:00Z Balan, Radu 192.168.6.56/handle/123456789/77240 2020-07-28T06:27:14Z 2015-01-01T00:00:00Z

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.

2015-01-01T00:00:00Z Neunzert, Helmut 192.168.6.56/handle/123456789/77236 2020-07-28T06:28:43Z 2015-01-01T00:00:00Z

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.

2015-01-01T00:00:00Z Günther, Michael 192.168.6.56/handle/123456789/77234 2020-07-28T06:31:53Z 2015-01-01T00:00:00Z

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