Oliver T.C. Tse
Assistant Professor, Mathematics and Computer Science, Applied Analysis
Emailo.t.c.tsetuenl
Supervised Work (15)
"Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country." David Hilbert (1862—1943, German mathematician)
Oliver Tse is an Assistant Professor in the Applied Analysis group of the Centre for Analysis, Scientific computing and Applications (CASA) at Eindhoven University of Technology (TU/e). Oliver's areas of expertise include modeling and simulation, numerical simulation, optimization, mathematical modeling, nonlinear dynamics, stability analysis, parameter estimation and optimal control.
His research topics have included
Nonlinear diffusion systems: well-posedness
Kinetic equations: qualitative properties, multiscale modelling and numerical simulation
Optimal control with PDEs: analysis of adjoint-based methods
Interacting particle systems: consensus-based methods in global optimization, disease dynamics
Oliver is interested in anything and everything that helps him understand the origin and intricate behavior of nonlinear and nonlocal Partial Differential Equations (PDEs). His current interest lies on the connections between optimal transport, (generalized) gradient flows and large deviations, and in probabilistic methods for studying PDEs. He hopes to develop new analytical tools by unveiling or establishing these connections.
Oliver Tse obtained his master's degree in Applied Mathematics at the University of Kaiserlautern (sponsored by the Fraunhofer Institute for Industrial Mathematics), and later went on to earn his doctorate (Dr. rer. nat.) in 2011 under the supervision of Prof. René Pinnau. Oliver worked for this university for five years, including two years as an Assistant Professor in the Industrial Mathematics group (Department of Mathematics).
Dive into the research topics where Oliver T.C. Tse is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
Mean-field Limit Mathematics 100%
Fokker Planck equation Engineering & Materials Science 84%
Mean Field Mathematics 82%
Entropy Engineering & Materials Science 70%
Fokker-Planck Equation Mathematics 60%
Fiber Mathematics 59%
Optimization Algorithm Mathematics 59%
Global optimization Engineering & Materials Science 58%
Jump processes as generalized gradient flows
Peletier, M. A., Rossi, R., Savaré, G. & Tse, O., Feb 2022, In: Calculus of Variations and Partial Differential Equations. 61, 1, 85 p., 33.
Generalized Gradient 100%
Jump Process 90%
Gradient Flow 88%
Markov Jump Processes 50%
Gradient System 50%
Mean-field optimal control and optimality conditions in the space of probability measures
Burger, M., Pinnau, R., Totzeck, C. & Tse, O., 9 Mar 2021, In: SIAM Journal on Control and Optimization. 59, 2, p. 977-1006 30 p.
Mean Field 100%
Optimality Conditions 89%
Optimality System 83%
Probability Measure 78%
First-order System 76%
An inequality connecting entropy distance, Fisher Information and large deviations
Hilder, B., Peletier, M. A., Sharma, U. & Tse, O., May 2020, In: Stochastic Processes and their Applications. 130, 5, p. 2596-2638 43 p.
Fisher Information 100%
Large Deviations 82%
Coarse-graining 29%
Instantaneous control of interacting particle systems in the mean-field limit
Burger, M., Pinnau, R., Totzeck, C., Tse, O. & Roth, A., 15 Mar 2020, In: Journal of Computational Physics. 405, 20 p., 109181.
Mean-field Limit 100%
Interacting Particle Systems 92%
Instantaneous 75%
Evacuation 54%
Mean Field Equation 49%
Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces
Carrillo, J. A., Choi, Y. P. & Tse, O., 24 Jan 2019, In: Communications in Mathematical Physics. 365, 1, p. 329-361 33 p.
Convergence to Equilibrium 100%
Wasserstein Distance 98%
Damped 78%
Euler Equations 73%
Granular Media 60%
NWO Vidi Award : Evolutionary structures under one umbrella
Tse, Oliver T.C. (Recipient), 2018
Prize: NWO › Vidi › Scientific
Costs 100%