401-5003-71L  At the Interface Between Semiclassical Analysis and Numerical Analysis of Wave-Scattering Problems

SemesterHerbstsemester 2021
DozierendeE. Spence
Periodizitäteinmalige Veranstaltung


401-5003-71 VAt the Interface Between Semiclassical Analysis and Numerical Analysis of Wave-Scattering Problems
Fridays, 10:15 - 12:00
First lecture: 1 October
More information and registration (registration deadline: 27 September)
2 Std.
Fr10:15-12:00HG G 43 »
E. Spence


KurzbeschreibungPostgraduate degree lecture
InhaltSemiclassical analysis (SCA) is a branch of microlocal analysis concerned with rigorously analysing PDEs with large (or small) parameters. On the other hand, numerical analysis (NA) seeks to design numerical methods that are accurate, efficient, and robust, with theorems guaranteeing these properties.

In the context of high-frequency wave scattering, both SCA and NA share the same goal – that of understanding the behaviour of the scattered wave – but these two fields have operated largely in isolation, mainly because the tools and techniques of the two fields are somewhat disjoint.

This by-and-large self-contained course focuses on the Helmholtz equation, which is arguably the simplest possible model of wave propagation. Our first goal will be to show how even relatively-simple tools from semiclassical analysis can be used to prove fundamental results about the numerical analysis of finite-element method applied to the high-frequency Helmholtz equation.
Voraussetzungen / BesonderesThe course will aim at being accessible both to students coming from a numerical-analysis/applied-maths background and to students coming from an analysis background.


Information zur Leistungskontrolle (gültig bis die Lerneinheit neu gelesen wird)
Leistungskontrolle als Semesterkurs
ECTS Kreditpunkte4 KP
PrüfendeE. Spence, R. Hiptmair
RepetitionDie Leistungskontrolle wird in jeder Session angeboten. Die Repetition ist ohne erneute Belegung der Lerneinheit möglich.
Prüfungsmodusmündlich 30 Minuten
Zusatzinformation zum PrüfungsmodusOffered in the Winter 2021/22 and Summer 2022 Examination Sessions only.
Diese Angaben können noch zu Semesterbeginn aktualisiert werden; verbindlich sind die Angaben auf dem Prüfungsplan.


Keine öffentlichen Lernmaterialien verfügbar.
Es werden nur die öffentlichen Lernmaterialien aufgeführt.


Keine Informationen zu Gruppen vorhanden.


BelegungsendeBelegung nur bis 27.09.2021 möglich

Angeboten in

Doktorat Departement MathematikGraduate School / GraduiertenkollegWInformation
Mathematik MasterAuswahl: Numerische MathematikWInformation