Current Topics

The Bachelor program in "Technomathematik" will expire. To begin with this program the last semester of registration is the winter term 2025/2026.

Begin of the Master program in  CDS will be in the winter term 2026/2027 (see https://cds.math.kit.edu/english/master.php)

General Hints

• CDS-page
• TeMa-page
• General information on programs in Mathematics
• Modul handbooks, and study and examination regularizations for our programs

 Advisory Services

• Bachelor Computational and Data Science and Bachelor Technomathematik: PD Dr. F. Hettlich  https://ianm.math.kit.edu/rg/ip/hettlich.php
• Further mathematical programs:  https://www.math.kit.edu/studium/fachstudberatung.php 

• The Mathematical Theory of Time-Harmonic Maxwell's Equations, Expansion-, Integral-, and Variational Methods
• Grundwissen Mathematikstudium, Analysis, und Lineare Algebra mit Querverbindungen   Lehrbuch zum ersten Studienjahr in Mathematik
• Grundwissen Mathematikstudium, Höhere Analysis, Numerik und Stochastik  Lehrbuch zum Mathematikstudium im zweiten und dritten Studienjahr
• Lehrbuch Mathematik - Ein umfassendes Lehrbuch für Technische- und Naturwissenschaftliche Studiengänge
• Vorkurs Mathematik Mathematikkurs vor dem Start in ein natur- oder ingenieurwissenschaftliches Studium  (mit Hinweisen zum Skript, Lösungen zu den Aufgaben und Selbsttests)

Books / Textbooks

• T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger, H. Stachel:   Lehrbuch  Mathematik ;  Springer-Spektrum, 5. Aufl. 2022
• M. Brokate, N. Henze, F. Hettlich, A. Meister, G.  Schranz-Kirlinger, Th. Sonar: Grundwissen Mathematikstudium - Höhere Mathematik, Numerik und Stochastik ;  Springer-Spektrum, 2015
• A. Kirsch, F. Hettlich: The Mathematical Theory of Time-Harmonic Maxwell's Equations; Expansion-, Integral-, and Variational Methods ; Springer, 2015
• T. Arens, R. Busam, F. Hettlich, Ch. Karpfinger, H. Stachel: Grundwissen Mathematikstudium - Analysis und Lineare Algebra mit Querverbindungen ; Springer-Spektrum, 2013
• F. Hettlich: Skriptum Vorkurs Mathematik , Shaker-Verlag, 3rd edition, 2019

Preprints

• On potential-based shape derivatives of the elctromagnetic tranmission problem. CRC Preprint 2022/75, Karlsruhe Institute of Technology, 2022, https://doi.org/10.5445/IR/1000154080 .

Publications (peer-reviewed journals)

• The domain derivative in inverse obstacle scattering with nonlinear impedance boundary condition (with L. Fink), Inverse Problems, 40 (2024), https://doi.org/10.1088/1361-6420/ad0c92 .
• The domain derivative for semilinear elliptic inverse obstacle problems, Inverse Problems & Imaging, 16 (2022), https://doi.org/10.3934/ipi.2021071.
• Application of the second domain derivative in inverse electromagnetic scattering (with F. Hagemann), Inverse Problems, 36 (2020), https://doi.org/10.1088/1361-6420/abaa31 .
• Solving inverse electromagnetic scattering problems via domain derivatives (with  T. Arens, T. Betcke, F. Hagemann),  Inverse Problems, 35 (2019), https://dx.doi.org/10.1088/1361-6420/ab10cb .
• The Definition and Measurement of Electromagnetic Chirality (with T.Arens, F.Hagemann and A.Kirsch), Mathematical Methods in the Applied Sciences (2018), http://dx.doi.org/10.1002/mma.4628 .
• The domain derivative of time-harmonic electromagnetic waves at interfaces, Math. Methods Appl Sci 35 (2012), 1681-1689.
• Reconstruction of periodic gratings from one scattered wave, Journal of Mathematics and Computers in Simulation 66 (2004), 315-324.
• Vibration Parameter Extraction from Endoscopic Image Series of the Vocal folds, IEEE Transaction on Biomedical Engineering 49 (2002), 773-781, (with M. Doellinger, U. Hoppe, S. Schuberth and U. Eysholdt)
• Iterative Regularization Schemes in Inverse Scattering by Periodic Structures, Inverse Problems 18 (2002), 701-714
• Identification of a Discontinous Source in the Heat Equation, Inverse Problems 17 (2001), 1465-1482 (with W. Rundell)
• A Second Degree Method for Nonlinear Inverse Problems, SIAM  J. Numer. Anal. 37 (2000), 587-620 (with W. Rundell)
• The Landweber Iteration Applied to  Inverse Conductive Scattering Porblems,  Inverse  Problems 14 (1998), 931-947.
• The Determination of a  Discontinuity in a Conductivity from a Single Boundary Measurement,  Inverse Problems 14 (1998), 67-82 (with  W. Rundell)
• Recovery of the Support of a Source Term  in an Elliptic Differential Equation, Inverse Problems  13 (1997), 959-976 (with  W. Rundell)
• Schiffer's Theorem in  Inverse Scattering Theory for Periodic Structures, Inverse Problems 13 (1997), 351-361 (with A. Kirsch)
• Iterative Methods for the Reconstruction of an Inverse Potential Problem, Inverse Problems 12 (1996), 251-266 (with W. Rundell).
• Uniqueness of the Inverse Conductive Scattering Problem for Time-Harmonic Electromagnetic Waves,  SIAM J. Appl. Math. 56 (1996), 588-601.
• Frechet Derivatives in Inverse Obstacle Scattering, Inverse Problems 11 (1995), 371-382.
• Two Methods for Solving an Inverse Conductive Scattering Problem, Inverse Problems 10 (1994), 375-385.
• On the Uniqueness of the Inverse Conductive Scattering Problem for the Helmholtz Equation, Inverse Problems 10 (1994), 129-144.
• The Resistive and Conductive Problems for the Exterior Helmholtz Equation, SIAM J. Appl. Math. 50 (1990), 1607-1622 (with T.S. Angell and R.E. Kleinman)