Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Due to an increasing number of reported catastrophes all over the world, the safety especially of pedestrians today, is a dramatically growing field of interest, both for practitioners as well as scientists from various disciplines. The questions arising mainly address the dynamics of evacuating people and possible optimisations of the process by changing the architecture and /or the procedure. This concerns not only the case of ships, stadiums or buildings, all with restricted geometries, but also the evacuation of complete geographical regions due to natural disasters. Furthermore, also ˜simple' crowd motion in ˜relaxed' situations poses new questions with respect to higher comfort and efficiency since the number of involved persons at large events is as high as never before. In addition, as a new research topic in this field, collective animal behaviour is attracting increasing attention. All this was in the scope of the conference held in Vienna, September 28-30, 2005, the third one in a series after Duisburg (2001) and Greenwich (2003).

Social psychology --- Mathematics --- toegepaste wiskunde --- sociale psychologie

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Questa è una raccolta di esercizi che illustra alcuni aspetti fondamentali della Finanza Matematica, in particolare della valutazione dei derivati. E' rivolta a studenti dei corsi di Laurea Magistrale, ma può essere utilizzata con successo anche nei corsi di Laurea del primo livello, da studenti che abbiano una adeguata formazione di tipo matematico (Corsi di Laurea in Matematica, Ingegneria). La risoluzione degli esercizi viene affrontata con l'utilizzo di metodi propri sia della Teoria della Probabilità (processi stocastici) che dell'Analisi Matematica (Equazioni alle Derivate Parziali).

Quantitative methods (economics) --- Mathematics --- Financial analysis --- toegepaste wiskunde --- financiële analyse

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Quantitative methods (economics) --- Mathematics --- Financial analysis --- toegepaste wiskunde --- financiële analyse

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in Lp spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field. Irene Fonseca is the Mellon College of Science Professor of Mathematics and is currently the Director of the Center for Nonlinear Analysis in the Department of Mathematical Sciences at Carnegie Mellon University. Her research interests lie in the areas of continuum mechanics, calculus of variations, geometric measure theory and partial differential equations. Giovanni Leoni is also a professor in the Department of Mathematical Sciences at Carnegie Mellon University. He focuses his research on calculus of variations, partial differential equations and geometric measure theory with special emphasis on applications to problems in continuum mechanics and in materials science.

Partial differential equations --- Mathematical analysis --- Mathematics --- differentiaalvergelijkingen --- analyse (wiskunde) --- toegepaste wiskunde

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The conference series Tra?c and Granular Flow has been established in 1995 and has since then been held biannually. At that time, the investigation of granular materials and tra?c was still somewhat exotic and was just starting to become popular among physicists. Originally the idea behind this conference series was to facilitate the c- vergence of the two ?elds, inspired by the similarities of certain phenomena and the use of similar theoretical methods. However, in recent years it has become clear that probably the di?erences between the two systems are much more interesting than the similarities. Nevertheless, the importance of various interrelations among these ?elds is still growing. The workshop continues to o?er an opportunity to stimulate this interdisciplinary research. Over the years the spectrum of topics has become much broader and has included also problems related to topics ranging from social dynamics to - ology. The conference manages to bring together people with rather di?erent background, ranging from engineering to physics, mathematics and computer science. Also the full range of scienti?c tools is represented with presentations of empirical, experimental, theoretical and mathematical work. TheworkshoponTra?candGranularFlow'05wasthesixthinthisseries. Previous conferences were held in Julic ¨ h (1995), Duisburg (1997), Stuttgart (1999), Nagoya (2001), and Delft (2003). For its 10th anniversary, Berlin was chosen as location, the largest city and capital of Germany. Berlin is also one ofthecentersfortransportrelatedresearchandhostsmanyresearchinstitutes that have a long history in the ?elds covered by the workshop.

Mathematics --- Mathematical physics --- Transport engineering --- Engineering sciences. Technology --- analyse (wiskunde) --- toegepaste wiskunde --- transport --- wiskunde --- ingenieurswetenschappen --- fysica