Onderzoeksoutput per jaar
Onderzoeksoutput per jaar
P.O. Box 513
5600 MB Eindhoven
Nederland
Groene Loper 5, Metaforum
5612 AP Eindhoven
Nederland
The field of Applied analysis brings together many mathematical topics, such differential equations, dynamical systems, variational calculus, functional analysis, geometry, and approximation theory. The Applied Analysis Group focuses on these mathematical disciplines and their application to the real world around us. The Applied Analysis Group is part of CASA, the Center for Analysis, Scientific Computing, and Applications.
“Exploring the zoo of nonlinear partial differential equations”
Partial differential equations, especially the nonlinear ones, are as different as animals in the zoo. We study them: do they have solutions, are these solutions unique? How do the solutions behave? How do they depend on parameters? How should we calculate solutions numerically? How do all these properties relate to the real-world situations that generated the equations in the first place? Tools such as functional analysis and variational calculus allow us to create order in the zoo.
Connecting PDEs with stochastics
Since the invention of Wasserstein gradient flows exciting new connections have arisen between optimal transport, (generalized) gradient flows and large deviations. Optimal transport provides tools for analyzing PDEs, large deviations give us the gradient-flow structure underlying many PDEs, and the connection between PDEs and stochastic processes ties all these concepts together.
Persoon: UD : Universitair Docent
Persoon: Prom. : Promovendus
Persoon: OWP : Docent / Onderzoeker
Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review
Onderzoeksoutput: Scriptie › Dissertatie 1 (Onderzoek TU/e / Promotie TU/e)
Onderzoeksoutput: Werkdocument › Preprint › Professioneel › peer review
Veroy-Grepl, K. (Bijdrager), Tse, O. (Bijdrager), Mollo, P. (Bijdrager) & Nielen, E. T. E. (Overige), Zenodo, 21 okt. 2024
DOI: 10.5281/zenodo.13959788, https://zenodo.org/records/13959788
Dataset
Baumeier, B. (Ontwerper), Renaud, N. (Ontwerper), Scharpach, W. (Ontwerper), Sundaram, V. (Ontwerper), Çaylak, O. (Ontwerper), Tirimbò, G. (Ontwerper), Junghans, C. (Ontwerper), Brown, J. (Ontwerper), Zapata Ruiz, F. (Ontwerper), Wehner, J. (Ontwerper), Gerritsen, R. H. J. (Ontwerper), Bernhardt, M. (Ontwerper) & Rosenberger, D. (Ontwerper), Zenodo, 19 sep. 2021
Dataset
Tse, O. T. C. (Ontvanger), 2018
Prijs: NWO › Vidi › Wetenschappelijk
Nyquist, P. (Organisator)
Activiteit: Types deelname aan of organisatie van een evenement › Congres › Wetenschappelijk
Nyquist, P. (Gerefereerde)
Activiteit: Types publicaties van collegiale toetsing en redactioneel werk › Redactioneel werk › Wetenschappelijk
Nyquist, P. (Gerefereerde)
Activiteit: Types publicaties van collegiale toetsing en redactioneel werk › Redactioneel werk › Wetenschappelijk
31/08/23
1 item van Media-aandacht
Pers / media: Vakinhoudelijk commentaar
7/02/23
2 items van Media-aandacht
Pers / media: Vakinhoudelijk commentaar
7/02/23
1 item van Media-aandacht
Pers / media: Vakinhoudelijk commentaar
Scriptie/Masterproef: Bachelor
Scriptie/Masterproef: Bachelor
Scriptie/Masterproef: Master