• P.O. Box 513

    5600 MB Eindhoven

    Netherlands

  • Groene Loper 5, Metaforum

    5612 AP Eindhoven

    Netherlands

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.

Fingerprint Dive into the research topics where Applied Analysis is active. These topic labels come from the works of this organisation's members. Together they form a unique fingerprint.

Gradient Flow Mathematics
Model Mathematics
Reaction-diffusion System Mathematics
Moving Boundary Problem Mathematics
Large Deviations Mathematics
Concretes Engineering & Materials Science
Homogenization Mathematics
Carbonation Engineering & Materials Science

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

Research Output 1992 2019

An inequality connecting entropy distance, Fisher Information and large deviations

Hilder, B., Peletier, M. A., Sharma, U. & Tse, O., 1 Jan 2019, (Accepted/In press) In : Stochastic Processes and their Applications.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
Fisher Information
Large Deviations
Entropy
Markov Jump Processes
Coarse-graining
1 Downloads (Pure)

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
Metastability
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

Chemistry
Biology
Epidemiology
Social Sciences
Self-organization

Prizes

NWO Vidi Award : Evolutionary structures under one umbrella

O.T.C. Tse (Recipient), 2018

Prize: NWOVidiScientific

Costs

NWO Vidi Award : Evolutionary structures under one umbrella

O.T.C. Tse (Recipient), 2017

Prize: NWOVidiScientific

Costs

Activities 2014 2017

  • 5 Editorial activity
  • 1 Conference

RESIM 2018

P. Nyquist (Organiser)
20172018

Activity: Participating in or organising an event typesConferenceScientific

Mathematics of Operations Research (Journal)

P. Nyquist (Referee)
2017 → …

Activity: Publication peer-review and editorial work typesEditorial activityScientific

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

File

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

File

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

File