Siddhartha Mishra: Catalogue data in Autumn Semester 2021

Name Prof. Dr. Siddhartha Mishra
FieldApplied Mathematics
Seminar für Angewandte Mathematik
ETH Zürich, HG G 57.2
Rämistrasse 101
8092 Zürich
Telephone+41 44 632 75 63
RelationshipFull Professor

401-4671-00LAdvanced Numerical Methods for CSE
Offered for the last time in HS 2021
9 credits4V + 2U + 1PS. Mishra
AbstractThis course will focus on teaching different advanced topics in numerical methods for science and engineering. The main aim would be introduce novel algorithms and discuss their implementation.
Objective--Presentation of state of the art numerical methods in computational fluid dynamics.
--Advanced implementation in C++
-- Introduction of the role of data in scientific computing, particularly in the context of uncertainty quantification (UQ).
ContentA selection of the following topics will be covered:

1. Advanced numerical methods in fluid dynamics:
-- Finite volume schemes
-- High-resolution schemes on both structured and unstructured grids

2. Uncertainty quantification in fluid dynamics
-- Modeling of uncertainty in terms of random fields.
-- Monte Carlo methods
-- Multi-level Monte Carlo methods.
-- Quasi-Monte Carlo methods.
Lecture notesLecture material will be created during the course and will be made available.
Prerequisites / Notice- Familiarity with basic numerical methods
(as taught in the course "Numerical Methods for CSE").
- Knowledge of numerical methods for differential equations (as covered in the course "Numerical Methods for Partial Differential Equations").
401-5000-00LZurich Colloquium in Mathematics Information 0 creditsR. Abgrall, M. Iacobelli, A. Bandeira, A. Iozzi, S. Mishra, R. Pandharipande, University lecturers
AbstractThe lectures try to give an overview of "what is going on" in important areas of contemporary mathematics, to a wider non-specialised audience of mathematicians.
401-5650-00LZurich Colloquium in Applied and Computational Mathematics Information 0 credits1KR. Abgrall, R. Alaifari, H. Ammari, R. Hiptmair, S. Mishra, S. Sauter
AbstractResearch colloquium