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401-3640-70L 4 Credits BSC , MSC D-MATH

Volume Integral Equations: Theory and Numerics

Lecturers & Examiners: Prof. Dr. Ralf Hiptmair
Number of participants limited to 10.
VVZ CR n/a

Last Updated: 2026-02-05 15:34:40

Abstract

The seminar covers recent research articles on the theory and numerical treatment of volume integral equations for acoustic and electromagnetic scattering problems.

Objective

Beside conveying knowledge about the functional analytic method for analyzing integral equations and a range of numerical methods, the seminar is also meant to practise scientific presentation skills.

Content

Topics (based on research articles) 1. VIE for acoustic scattering 2.The Operator Equations of Lippmann-Schwinger Type for Acoustic and Elec- tromagnetic Scattering Problems in L2 3. VIE for electromagnetic scattering at dielectric bodies 4. Fast Solvers for the Lippmann-Schwinger equation 5. Numerical Solution of the Lippmann–Schwinger Equation by “Approx- imate Approximations” 6. Higher-order Fourier approximation in scattering by two-dimensional, inho- mogeneous media 7. Fast convolution with free-space Green’s functions 8. Fast numerical solution of the electromagnetic medium scattering problem 9. VIE Methods for Time-Harmonic Solutions of Maxwell’s Equations: Discretization, Spectrum and Preconditioning 10. The Discrete Dipole Approximation: an overview and recent developments

General Information

Language
English
Levels
BSC , MSC

Examination

Type
ungraded semester performance

Registration & Places

Limited places (Special selection)
Signup Start
01.08.2020
Signup End
11.09.2020
Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
seminar Volume Integral Equations: Theory and Numerics
Time: Kick-off Sep 15, 2020 04:00 PM Zurich, Every week on Tue, from Oct 13 until Dec 15, 2020, 10 occurrence(s) Meeting ID: 964 8532 0334
  • Tue 16:00-18:00 (ON LI NE)
2 h weekly

Offered In

  • Mathematics Bachelor
    • Seminars (This semester, many seminars have a waiting list with special selection procedure. If no other criteria apply, a definitive registration will be granted first of all to students who haven't got another seminar registration. Here is the best procedure for dealing with two waiting lists: first choose your preferred seminar and afterwards choose an alternative seminar.)
  • Mathematics Master
    • Seminars and Semester Papers
      • Seminars (This semester, many seminars have a waiting list with special selection procedure. If no other criteria apply, a definitive registration will be granted first of all to students who haven't got another seminar registration. Here is the best procedure for dealing with two waiting lists: first choose your preferred seminar and afterwards choose an alternative seminar.)