• P.O. Box 513

    5600 MB Eindhoven


  • Groene Loper 5, Metaforum

    5612 AP Eindhoven


Organization profile

Introduction / mission

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”

Organisational profile

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.

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 1992 2019

A primer on stochastic processes

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

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Stochastic Processes
Evolution Equation
Stochastic Equations
Random walk

Complexity science: an introduction

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

Research output: Book/ReportBookAcademic

Social Sciences

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, p. 329-361

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
Wasserstein Distance
Convergence to Equilibrium
Euler Equations
Euler System


NWO Vidi Award : Evolutionary structures under one umbrella

Oliver Tse (Recipient), 2017

Recognition: NWOVidiScientific


NWO Vidi Award : Evolutionary structures under one umbrella

Oliver Tse (Recipient), 2018

Recognition: NWOVidiScientific


Activities 2014 2017

  • 5 Editorial activity
  • 1 Conference

Mathematics of Operations Research (Journal)

P. Nyquist (Referee)
2017 → …

Activity: Publication peer-review and editorial work typesEditorial activityScientific

RESIM 2018

P. Nyquist (Organiser)

Activity: Participating in or organising an event typesConferenceScientific

Nature Communications (Journal)

P. Nyquist (Referee)
2017 → …

Activity: Publication peer-review and editorial work typesEditorial activityScientific

Student theses

A comparison of the Krasnoselskii spectrum and the homotopy significant spectrum

Author: Fokma, S. (., 6 Jul 2018

Supervisor: Portegies, J. (Supervisor 1)

Student thesis: Bachelor


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

Author: Rutjens, R., 29 Apr 2019

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

Student thesis: Master


Active learning in VAE latent space

Author: Tonnaer, L., 25 Sep 2017

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

Student thesis: Master