apl. Prof. Dr. Matthias Kunik (Dr. rer. nat. habil.) 
Mathematician

Institut für Analysis und Numerik
Fakultät für Mathematik
Universität Magdeburg
Universitätsplatz 2
D-39106 Magdeburg, GERMANY

Impressum: "http://www.ovgu.de/Impressum.html"

Phone: (+49) (0391) 67 12877

Fax: (+49) (0391) 67 18073
e-Mail: matthias.kunik@mathematik.uni-magdeburg.de

Privat:
Dr. Matthias Kunik
Goethestraße 23
39108 Magdeburg, GERMANY

Date/place of birth: 1961 in Frankfurt-am-Main, Germany

Marital status: Married, one daughter

Nationality: German

Research topics and selected publications

  • Lehrbuch mit Piotr Skrzypacz: ``Höhere Analysis durch Anwendungen lernen''. Errata zu diesem Lehrbuch: ``errata.pdf (PDF file).''
  • Habilitationsschrift im Rahmen des DFG-Schwerpunkt-Programms ANumE mit dem Titel
    ``Selected initial and boundary value problems for hyperbolic systems and kinetic equations'' (PDF file),

    (Preprint Nr. 23/2004, Otto-von-Guericke-Universität Magdeburg).
  • theoretical and numerical investigations for systems of hyperbolic conservation laws
  • kinetic theory of gases, classical and relativistic theory
  • micro-macro transitions and continuum mechanics
  • Electromagnetic diffraction theory; scalar and vectorial pseudodifferential operators on Sobolev spaces:
    `` On energy conditions for electromagnetic diffraction by apertures'', with N. Gorenflo, Preprint Nr. 21/2011, Otto-von-Guericke-Universität Magdeburg, ISRN Mathematical Physics (2011): http://www.isrn.com/journals/mp/aip/983809/
    ``A new and self-contained presentation of the theory of boundary operators for slit diffraction and their logarithmic approximations" with N. Gorenflo, Mathematische Nachrichten, Volume 285, Issue 1, pages 74-102, January 2012.
    ``Diffraction of light revisited'' with P. Skrzypacz, Preprint Nr. 3/2007, Otto-von-Guericke-Universität Magdeburg, "Mathematical Methods in the Applied Sciences (2008).,
  • Number theory:
    Lehrbuch mit Y. Abramchuk and A. Bondarava : ``Elementare Zahlentheorie" (2018)(PDF-File, im arXiv unter https://arxiv.org/pdf/1809.09710 frei verfübar).
    ``Logarithmic Fourier integrals for the Riemann zeta function", New Directions in value-distribution theory of Zeta- and L-functions, Proceedings of the W\"urzburg Conference, October 2008. Editors: J.Steuding, R.Steuding, Shaker Publishing, 131-147 (2009).
    ``Charakterisierung der Riemannschen Hypothese mit Hilfe eines Hilbertschen Folgenraumes'' (PDF file),

    (Preprint Nr. 20/2011, Otto-von-Guericke-Universität Magdeburg).
    ``Farey-Sequenzen'' (PDF file),

    (Preprint Nr. 1/2012, Otto-von-Guericke-Universität Magdeburg).
    ``On the formulas for pi(x) and psi(x) of Riemann and von-Mangoldt'' (PDF file),

    (Preprint Nr. 09/2005, Otto-von-Guericke-Universität Magdeburg).
  • formal languages and mathematical logic
    ``Formal mathematical systems including a structural induction principle'' (PDF file),

    (Preprint Nr. 31/2002, Otto-von-Guericke-Universität Magdeburg).
  • Overview

      Born 1961, Frankfurt/Main, Germany.

      Married to Marie-Paulette Kunik.

      Diploma in mathematics, summa cum laude, Technische Universität Clausthal, Germany, 1987.

      Dr. rer. nat., summa cum laude, Universität Stuttgart, Germany, 1989.
      Field: Weak solutions for hyperbolic conservation laws
      with applications on the theory of sedimentation.

      From February 97 to November 00 member in the research group " Continuum Mechanics in WIAS (Berlin)."

      Since December 00 member of the " Institute of Analysis and Numerics " of the Otto-von-Guericke University Magdeburg

      2005 Habilitation (second thesis) ``Selected initial and boundary value problems for hyperbolic systems and kinetic equations'' at the Faculty of Mathematics, Otto-von-Guericke University of Magdeburg.

    Publications

      A scaling property of Farey Fractions. Part IV: mean value formulas. Eur. J. Math. 4(4), 1549-1559 (2018).

      A scaling property of Farey Fractions. Part III: representation formulas. Eur. J. Math. 3(2), 363-378 (2017).

      Revisiting energy dissipation due to elastic waves at impact of spheres on large thick plates, with R. Boettcher, S. Eichmann, A. Russell, P. Mueller, International journal of impact engineering - Amsterdam [u.a.]: Elsevier Science, Bd. 104, 45-54 (2017).

      A scaling property of Farey Fractions. Part II: convergence at rational points. Eur. J. Math. 2(3), 886-896 (2016).

      A scaling property of Farey Fractions. Eur. J. Math. 2(2), 383-417 (2016).

      Lehrbuch mit Piotr Skrzypacz: ``Höhere Analysis durch Anwendungen lernen'', Springer Sektrum, ISBN 978-3-658-02265-5, (2014).

      The ultra-relativistic Euler equations, with Mahmoud A.E. Abdelrahman, Math. Meth. Appl. Sci..doi:10.1002/mma.3141, (2014).

      The interaction of waves for the ultra-relativistic Euler equations, with Mahmoud A.E. Abdelrahman, Journal of Mathematical Analysis and Applications 2014|409|2|1140-1158, (2014).

      A new front tracking scheme for the ultra-relativistic Euler equations, with Mahmoud A.E. Abdelrahman, Journal of Computational Physics, pages 213-235 (2014).

      On energy conditions for electromagnetic diffraction by apertures, with N. Gorenflo, ISRN Mathematical Physics, Vol. 2012 (2012), http://www.isrn.com/journals/mp/aip/983809/

      Power series with the von Mangoldt function, with Lutz G. Lucht, Functiones et Approximatio 47.1, pages 15-33, (2012).

      A new and self-contained presentation of the theory of boundary operators for slit diffraction and their logarithmic approximations, with N. Gorenflo, Mathematische Nachrichten, Vol. 285, Issue 1, pages 74-102, (2012).

      Explicit solution formulas for the acoustic diffraction problem with a slit in a hard and a soft screen: Continuous Media with Microstructure, dedicated to Prof. Dr. Krzysztof Wilmanski, Editor: B.Albers, Springer Verlag, doi:10.1007/978-3-642-11445-8, 221-231 (2010).

      Logarithmic Fourier integrals for the Riemann zeta function, New Directions in value-distribution theory of Zeta- and L-functions, Proceedings of the Würzburg Conference, October 2008. Editors: J.Steuding, R.Steuding, Shaker Publishing, 131-147 (2009).

      A generalized kinetic model of sedimentation of polydisperse suspensions with a continuous particle size distribution, with Raimund Bürger and Antonio Garcia: Mathematical Models and Methods in Applied Sciences 18, no. 10, 1741-1785 (2008).

      Diffraction of light revisited, with Piotr Skrzypacz: doi:10.1002/mma.945, Mathematical Methods in the Applied Sciences 31, 793-820 (2008).

      The analytical solution of two interesting hyperbolic problems as a test case for a finite volume method with a new grid refinement technique, with Wolfram Heineken: doi:10.1016/j.cam.2007.03.008, J. Comp. Appl. Math. 214 , no. 2, 509-532 (2008).

      A reduction of the Boltzmann-Peierls equation, with S. Qamar and G. Warnecke: International Journal of Computational Methods 2 , 213-229 (2005).

      Kinetic schemes for selected initial and boundary value problems, with W. Dreyer and M. Herrmann and S. Qamar: Editor G. Warnecke, Springer Verlag Berlin, Heidelberg, New York, 203-232 (2005).

      Habilitationsschrift "Selected initial and boundary value problems for hyperbolic systems and kinetic equations", Otto-von-Guericke-Universität Magdeburg, Preprint 04-23 der Fakultät für Mathematik (2004). Steht zur Verfügung unter\\ "http://www-ian.math.uni-magdeburg.de/$\sim$kunik/index.html".

      Kinetic schemes for the relativistic gas dynamics, with S. Qamar and G. Warnecke: Numer. Math. No. 97 159-191 (2004).

      BGK-type kinetic flux vector splitting schemes for the ultra-relativistic Euler equations, with S. Qamar and G. Warnecke, J. Sci. Comput., 26, pp. 196-223, (2004).

      Second order accurate kinetic schemes for the ultra-relativistic Euler aquations, with S. Qamar and G. Warnecke: Journal of Computational Physics 192, 695-726 (2003).

      Kinetic schemes for the ultra-relativistic Euler equations, with S. Qamar and G. Warnecke: Journal of Computational Physics 187, 572-596 (2003).

      On the approximation of the Fokker-Planck equation by moment systems, with W. Dreyer and M. Junk: Nonlinearity 14, 881-906 (2001).

      A critical look at the kinematic-wave theory for sedimentation-consolidation processes in closed vessels, with R. Bürger: Mathematical Methods in the Applied Sciences 24, 1257-1273 (2001).

      Kinetic solutions of the Boltzmann-Peierls-Equation and its moment systems, with W. Dreyer and M. Herrmann: Berlin, WIAS Preprint, No. 709 (2001).

      On the approximation of kinetic equations by moment systems, with W.Dreyer and M. Junk: Berlin, WIAS Preprint, No. 592 (2000).

      Cold, thermal and oscillator closure of the atomic chain, with W.Dreyer: Journal of Physics A: Math. Gen. , No. 33, 2097-2129 (2000).

      The scaling of time and space in micro-macro transitions: Contributions to Continuum Theories, (collected by B. Albers), Continuum Mechanics and Thermodynamics, WIAS Report No. 18, 146-154 (2000).

      Hyperbolic heat conduction, with W.Dreyer: Trends in applications of Mathematics to Mechanics, Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, Vol. 106 (2000).

      Initial and boundary value problem of hyperbolic heat conduction, with W.Dreyer: Continuum Mechanics and Thermodynamics, Vol. 11, No. 4, 227-245 (1999).

      Iterative procedure for multidimensional Euler equations, with W. Dreyer, K. Sabelfeld, N. Simonov, K. Wilmanski: Monte Carlo Methods and Applications, Vol. 4, No. 3, 253-271 (1998).

      Reflections of Eulerian shock waves at moving adiabatic boundaries, with W.Dreyer: Monte Carlo Methods and Applications, Vol. 4, No. 3, 231-252 (1998).

      Maximum entropy principle revisited, with W.Dreyer: Continuum Mechanics and Thermodynamics, Vol. 10, 331-347 (1998).

      A solution formula for a non-convex scalar conservation law with monotone initial data,
      Mathematical Methods in the Applied Sciences, Vol. 16, 895-902 (1993).

      A numerical method for some initial value problems of one scalar hyperbolic conservation law,
      Mathematical Methods in the Applied Sciences, Vol. 15, 495-509 (1992).

    Selected courses given by myself at the Otto-von-Guericke University of Magdeburg

      Abbreviations: V = lecture, Ü = exercise, S = Seminar, Pro = Proseminar, WS = winter semester, SS = sommer semester.

      SS 2014: Funktionentheorie (V4), Dynamische Systeme (für Mathematiker, Physiker und Lehramt) (V4).

      WS 2013/2014: Mathematik II/Teil 2 für Wirtschaftsingenieure (V2), Analysis 3 für Physiker (V4+Ü2).

      SS 2013: Mathematik II/Teil 1 für Wirtschaftsingenieure (V3), Dynamische Systeme (für Mathematiker, Physiker und Lehramt) (V4), Riemannsche Zetafunktion, L-Funktionen und Primzahlverteilung (Pro2),

      WS 2012/2013: Mathematik I für Wirtschaftsingenieure (V4), Analysis 3 für Physiker (V4).

      SS 2012: Numerik hyperbolischer Erhaltungsgleichungen (V4), Dynamische Systeme (für Mathematiker, Physiker und Lehramt) (V4).

      WS 2011/2012: Lineare Algebra für Physiker und Berufsschullehrer (V4), Analysis 3 für Physiker (V4).

      SS 2011: Funktionentheorie (Ü2), Mathematik IV für Physiker (V4+Ü2), Mathematik IV für Wirtschaftsinformatiker und Informatiker-Teil Logik (V1).

      WS 2010/2011: Mathematik III für Physiker (V5+Ü2).

      SS 2010: Mathematik IV für Physiker (V4+Ü2), Mathematik IV für Wirtschaftsinformatiker und Informatiker-Teil Logik (V1), Fourieranalysis (Pro2).

      WS 2009/2010: Mathematik III für Physiker (V5+Ü2), Analytische Zahlentheorie: Riemannsche Zetafunktion, L-Funktionen und Primzahlverteilung (S2).

      SS 2009: Funktionentheorie (V3+Ü2), Mathematik IV für Wirtschaftsinformatiker und Informatiker-Teil Logik (V1), Analytische Zahlentheorie (Pro2).

      WS 2008/2009: Lineare Algebra für Physiker und Berufsschullehrer(V4+Ü2).

      SS 2008: Dynamische Systeme: Gewöhnliche Differentialgleichungen II (V4), Mathematik IV für Physiker (V4), Mathematik IV für Wirtschaftsinformatiker und Informatiker-Teil Logik (V1).

      WS 2007/2008: Differentialgeometrie (Ü2), Mathematik III für Physiker (V5+Ü2).

      SS 2007: Mathematik IV für Physiker (V4), Fourieranalysis (Pro2), Oberseminar Numerik (S2).

    Lectures given at other institutions

      Lecture on "Methods for Solving Hyperbolic Conservation Laws in Physics and Technology" (V2),
      winter semester 1999/2000, Humboldt University, Berlin.

      Lectures on "Basic Mathematics for Mechanical Engineers" (V2/U2), Mannheim Technical College.

      2 compact courses "Mathematics for New Students" at the Mannheim Technical College.