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Titlebook: Mathematics of Wave Phenomena; Willy Dörfler,Marlis Hochbruck,Birgit Schörkhuber Conference proceedings 2020 Springer Nature Switzerland A

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FEM-BEM Coupling of Wave-Type Equations: From the Acoustic to the Elastic Wave Equation,stimates as well as the convergence. The intent of this paper is to thereby highlight the similarities, while at the same time presenting the challenges inherent in switching from the scalar acoustic to the vectorial elastic equation.
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Invariant Measures for the DNLS Equation,y continuous with respect to suitable weighted Gaussian measures supported on Sobolev spaces of increasing regularity. These results have been obtained in collaboration with Giuseppe Genovese (University of Zürich) and Daniele Valeri (University of Glasgow).
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Conference proceedings 2020lysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics..The .Conference on Mathematics of Wave Phenomena 2018 .held in Karlsruhe, Germany, was devoted to these topi
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,Numerical Study of Galerkin–Collocation Approximation in Time for the Wave Equation,er in terms of less complex linear algebraic systems. For the fully discrete solution, higher order regularity in time is further ensured which can be advantageous for the discretization of multi-physics systems. The accuracy and efficiency of the variational collocation approach is carefully studied by numerical experiments.
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Stability of Slow Blow-Up Solutions for the Critical Focussing Nonlinear Wave Equation on ,,dly we undertake a detailed analysis of their stability properties enclosed in Krieger (On the stability of type II blow up for the critical NLW on .. Mem Am Math Soc, 2018) and Burzio and Krieger (Mem Am. Math. Soc. arXiv preprint math/1709.06408, 2017)
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