Oberwolfach Reports

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Volume 13, Issue 2, 2016, pp. 1683–1751
DOI: 10.4171/OWR/2016/30

Hyperbolic Techniques in Modelling, Analysis and Numerics

Rinaldo M. Colombo[1], Philippe G. LeFloch[2] and Christian Rohde[3]

(1) Università degli Studi di Brescia, Italy
(2) Université Pierre et Marie Curie, Paris, France
(3) Universität Stuttgart, Germany

Several research areas are flourishing on the roots of the breakthroughs in conservation laws that took place in the last two decades. The meeting played a key role in providing contacts among the different branches that are currently developing. All the invitees shared the same common background that consists of the analytical and numerical techniques for nonlinear hyperbolic balance laws. However, their fields of applications and their levels of abstraction are very diverse. The workshop was the unique opportunity to share ideas about analytical issues like the fine-structure of singular solutions or the validity of entropy solution concepts. It turned out that generalized hyperbolic techniques are able to handle the challenges posed by new applications. The design of efficient structure preserving methods turned out to be the major line of development in numerical analysis.

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Colombo Rinaldo, LeFloch Philippe, Rohde Christian: Hyperbolic Techniques in Modelling, Analysis and Numerics. Oberwolfach Rep. 13 (2016), 1683-1751. doi: 10.4171/OWR/2016/30