• P.O. Box 513

    5600 MB Eindhoven

    Netherlands

  • Groene Loper 5, Metaforum

    5612 AP Eindhoven

    Netherlands

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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.

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  • 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