Research Output per year

# 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.

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

## Profiles

## J.C. (Jan-Cees) van der Meer

- Department of Mathematics and Computer Science, Applied Analysis
- Department of Mathematics and Computer Science, Centre for Analysis, Scientific Computing, and Applications - Assistant Professor
- Department of Mathematics and Computer Science, Centre for Analysis, Scientific Computing, and Applications W&I - Assistant Professor

Person: UD : Assistant Professor

## Mark A. Peletier

- Department of Mathematics and Computer Science, Centre for Analysis, Scientific Computing, and Applications W&I - Full Professor
- Department of Mathematics and Computer Science, Applied Analysis
- Department of Mathematics and Computer Science, Centre for Analysis, Scientific Computing, and Applications - Full Professor

Person: HGL : Professor

## 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 journal › Article › Academic › peer-review

## 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 proceeding › Chapter › Academic › peer-review

## Complexity science: an introduction

Peletier, M. A., van Santen, R. A. & Steur, E., 20 Mar 2019, World Scientific. 409 p.Research output: Book/Report › Book › Academic

## Prizes

## NWO Vidi Award : Evolutionary structures under one umbrella

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

Prize: NWO › Vidi › Scientific

## NWO Vidi Award : Evolutionary structures under one umbrella

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

Prize: NWO › Vidi › Scientific

## Activities 2014 2017

## RESIM 2018

P. Nyquist (Organiser)Activity: Participating in or organising an event types › Conference › Scientific

## Mathematics of Operations Research (Journal)

P. Nyquist (Referee)Activity: Publication peer-review and editorial work types › Editorial activity › Scientific

## Nature Communications (Journal)

P. Nyquist (Referee)Activity: Publication peer-review and editorial work types › Editorial activity › Scientific

## Press / Media

## Brack Capital Real Estate Inv N.V Final Results -7-

28/04/17

2 items of Media coverage

Press/Media: Expert Comment

## London Stock Exchange and Deutsche Börse merger blocked by EU; Britain Sets Historic Brexit Process in Motion; EBS BrokerTec shuffles FX business structure

29/03/17

1 item of Media coverage

Press/Media: Expert Comment

## Student theses

## A comparison of the Krasnoselskii spectrum and the homotopy significant spectrum

Author: Fokma, S. (., 6 Jul 2018Supervisor: 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 2019Supervisor: Slot, H. (Supervisor 1) & Rienstra, S. (Supervisor 2)

Student thesis: Master

## Active learning in VAE latent space

Author: Tonnaer, L., 25 Sep 2017Supervisor: Menkovski, V. (Supervisor 1), Portegies, J. W. (Supervisor 2) & Holenderski, M. (Supervisor 2)

Student thesis: Master