• P.O. Box 513

    5600 MB Eindhoven

    Nederland

  • Groene Loper 5, Metaforum

    5612 AP Eindhoven

    Nederland

Organisatieprofiel

Introductie / missie

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.

Highlighted phrase

“Exploring the zoo of nonlinear partial differential equations”

Over de organisatie

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.

Netwerk Recente externe samenwerking op landenniveau. Duik in de details door op de stippen te klikken.

Onderzoeksoutput 1992 2019

A primer on stochastic processes

Peletier, M. A., 20 mrt 2019, Complexity science: an introduction. Peletier, M. A., van Santen, R. A. & Steur, E. (redactie). World Scientific, blz. 183-198 16 blz.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureHoofdstukAcademicpeer review

Stochastic Processes
Metastability
Evolution Equation
Stochastic Equations
Random walk

Complexity science: an introduction

Peletier, M. A., van Santen, R. A. & Steur, E., 20 mrt 2019, World Scientific. 409 blz.

Onderzoeksoutput: Boek/rapportBoekAcademic

Chemistry
Biology
Epidemiology
Social Sciences
Self-organization

Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces

Carrillo, J. A., Choi, Y. P. & Tse, O., 1 jan 2019, In : Communications in Mathematical Physics. 365, 1, blz. 329-361

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Open Access
Bestand
Wasserstein Distance
Convergence to Equilibrium
Euler Equations
Damped
Euler System

Prijzen

NWO Vidi Award : Evolutionary structures under one umbrella

Oliver Tse (Ontvanger), 2017

Prijs: NWOVidiWetenschappelijk

Costs

NWO Vidi Award : Evolutionary structures under one umbrella

Oliver Tse (Ontvanger), 2018

Prijs: NWOVidiWetenschappelijk

Costs

Activiteiten 2014 2017

  • 5 Redactioneel werk
  • 1 Congres

RESIM 2018

P. Nyquist (Organisator)
20172018

Activiteit: Types deelname aan of organisatie van een evenementCongresWetenschappelijk

Mathematics of Operations Research (Tijdschrift)

P. Nyquist (Gerefereerde)
2017 → …

Activiteit: Types publicaties van collegiale toetsing en redactioneel werkRedactioneel werkWetenschappelijk

Nature Communications (Tijdschrift)

P. Nyquist (Gerefereerde)
2017 → …

Activiteit: Types publicaties van collegiale toetsing en redactioneel werkRedactioneel werkWetenschappelijk

Scripties/masterproeven

A comparison of the Krasnoselskii spectrum and the homotopy significant spectrum

Auteur: Fokma, S. (., 6 jul 2018

Begeleider: Portegies, J. (Afstudeerdocent 1)

Scriptie/masterproef: Bachelor

Bestand

Acoustic modes in hard walled and lined ducts with non-uniform shear flow : applying the WKB-method and Galerkin projection

Auteur: Rutjens, R., 29 apr 2019

Begeleider: Slot, H. (Afstudeerdocent 1) & Rienstra, S. (Afstudeerdocent 2)

Scriptie/masterproef: Master

Bestand

Active learning in VAE latent space

Auteur: Tonnaer, L., 25 sep 2017

Begeleider: Menkovski, V. (Afstudeerdocent 1), Portegies, J. W. (Afstudeerdocent 2) & Holenderski, M. (Afstudeerdocent 2)

Scriptie/masterproef: Master

Bestand