SNIC
SUPR
SNIC SUPR
Numerical discretisation of stochastic (partial) differential equations
Dnr:

SNIC 2018/3-131

Type:

SNAC Medium

Principal Investigator:

David Cohen

Affiliation:

UmeƄ universitet

Start Date:

2018-04-01

End Date:

2019-04-01

Primary Classification:

10105: Computational Mathematics

Allocation

Abstract

I am interested in the numerical discretisation of stochastic (partial) differential equations (SPDEs). To test the convergence, or other properties, of the numerical solutions, one often has to compute the expectations of some quantities. One thus need to simulate many many times the solution of such a stochastic problem. In the SPDE context, one thus has to solve M times a partial differential equation, where M should be of the order of 10^3 or more, in order to have M samples of the numerical solutions. Once this is done, one can use this information to approximate the above expectations and thus confirm the good behaviour of the numerical methods. In order for my research group to test our numerical schemes and perform extended numerical methods, I kindly ask for a renew of my previous SNIC Medium project: 40000 CPU hours on Abisko or Kebnekaise. Thank you for your understanding. David