401-3640-70L  Volume Integral Equations: Theory and Numerics

SemesterAutumn Semester 2020
LecturersR. Hiptmair
Periodicitynon-recurring course
Language of instructionEnglish
CommentNumber of participants limited to 10.


401-3640-70 SVolume 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
2 hrs
Tue16:00-18:00ON LI NE »
R. Hiptmair

Catalogue data

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

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersR. Hiptmair
Typeungraded semester performance
Language of examinationEnglish
RepetitionRepetition only possible after re-enrolling for the course unit.

Learning materials

No public learning materials available.
Only public learning materials are listed.


No information on groups available.


PlacesLimited number of places. Special selection procedure.
Beginning of registration periodRegistration possible from 01.08.2020
PriorityRegistration for the course unit is only possible for the primary target group
Primary target groupMathematics BSc (404000) starting semester 05
Mathematics MSc (437000)
Applied Mathematics MSc (437100)
Computational Science and Engineering MSc (438000)
Mathematics (Mobility) (448000)
Computational Science and Engineering (Mobility) (449000)
Waiting listuntil 21.09.2020
End of registration periodRegistration only possible until 11.09.2020

Offered in

Mathematics BachelorSeminarsWInformation
Mathematics MasterSeminarsWInformation