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  • Doctoral position in mathematics


  • Our profile

  • Applications are invited for a doctoral position in mathematics at RWTH Aachen University. The position is funded through the EU Marie-Sklodowska-Curie Innovative Training Network (ITN) ModCompShock (Modelling and Computation of Shocks and Interfaces). ModCompShock provides an international and highly visible framework covering a wide range of conceptual expertise. It focuses on the development of innovative mathematical methods and computational techniques in the general area of nonlinear hyperbolic and convection dominated partial differential equations; see http://modcompshock.eu for more information.
    Possible research topics at RWTH Aachen University include:
    1.) Development of innovative, new numerical methods for hyperbolic conservation laws, exploring for instance possible combinations of provably tight lower and upper a posteriori error bounds for transport equations with a suitable "linearization" of the problem (kinetic formulation, relaxation).
    2.) Numerical study of compressible flows over rough surfaces, using upscaling techniques to derive effective boundary conditions on a virtual smooth boundary and reduced basis methods to significantly speed up the evaluation of the resulting cell problems.
    3.) Development of a "steepest descent" numerical method for the compressible Euler equations inspired by the principle of maximal entropy production. It combines ideas from optimal transport theory and curves of maximal slopes on metric spaces.
    The position will be for three years, at least three months of which are to be spent abroad at one of the partner universities or industry partners in the ITN. The doctoral researchers is hired under an employment contract and benefits from a monthly living allowance, social security cover, a mobility and family allowance.

  • Your profile

  • We are looking for a candidate with strong mathematical skills and interest in nonlinear partial differential equations. Applicants must hold a Master's or equivalent degree in mathematics. Knowledge in Analysis, Numerical Analysis and Scientific Computation, Mathematical Modeling in Applied Sciences (or a combination thereof) will be required. Solid written and spoken English is necessary to publish new results and present them at conferences and in mathematical journals.
    At the time of recruitment, the candidate must be in his/her first four years (full-time equivalent research experience) of his/her research career and not yet have been awarded a doctoral degree.
    At the time of recruitment, the researcher must not have resided or carried out his/her main activity (work, studies, etc.) in Germany for more than 12 months in the 3 years immediately prior to the reference date. Please do not hesitate to contact us if you need further clarification about these requirements that are imposed by the EU funding agency.

  • Your duties and responsibilies

  • The doctoral researcher will work on a numerical or theoretical research project of our group, participate in the activities of the ITN (summer/winter schools, workshops, etc.), and pursue a doctoral degree. At least three months will be spent at one of the partner universities or industry partners in the ITN.
    Please send a letter of motivation, curriculum vitae, copies of your degree certificates, and a summary of your Master thesis electronically as a single .pdf-file to mwest@instmath.rwth-aachen.de. Please also include the names of two references who have agreed to provide letters of recommendation, with their contact information.
    Applications are welcome until the positions are filled. Reviewing of
    applications will start September 1, 2016.

  • Contact Information

  • For further details, please contact

    Prof. Dr. Michael Westdickenberg
    Tel.: +49 241 80 94569
    Fax: +49 241 80 92323
    Email: mwest@instmath.rwth-aachen.de
    Postal Address:
    RWTH Aachen University
    Lehrstuhl fuer Mathematik (Analysis)
    Templergraben 55
    52062 Aachen
    Germany


    Postdoc /PhD. Position



    At the Chair for Numerical Mathematics of the RWTH Aachen University we are currently offering a full PhD/postdoc position. In our group we work on the analysis, implementation and application of numerical simulation methods for partial differential equations.
    A main research topic is on numerical methods for two-phase incompressible flow problems. More information on the topic can be found on https://www.igpm.rwth-aachen.de/DROPS
    The candidates should have a university degree ( Master or equivalent ) in mathematics, computational engineering or a related field and should have basic knowledge on numerical methods for PDEs.
    Research will be on a topic in the field of numerical methods for partial differential equations, e.g. discretization methods for two-phase incompressible flow problems or for PDEs on evolving surfaces,or special preconditioning techniques. The candidate has to carry out part of the teaching tasks at the Chair for Numerical Mathematics.
    The position is limited to 2 years and is to be filled as soon as possible. An extension by two more years is possible. The standard weekly hours will be 39,83 hours.
    The successful candidate has the opportunity to pursue a doctoral degree.
    The salary is based on the German public service salary scale (TV-L).
    RWTH Aachen University is certified as a "Family-Friendly University". We particularly welcome and encourage applications from women, disabled persons and ethnic minority groups, recognizing they are underrepresented across RWTH Aachen University. The principles of fair and open competition apply and appointments will be made on merit.
    For further details, please contact
    Prof. Dr. A. Reusken
    Tel.: +49 (0) 241-8097972
    Email: reusken@igpm.rwth-aachen.de
    Please send your application by February 20, 2016 to

    Prof. Dr. Arnold Reusken
    Lehrstuhl für Numerische Mathematik
    52056 Aachen
    Germany
    You can also send your application via email to reusken@igpm.rwth-aachen.de. Please note, however, that communication via unencrypted e-mail poses a threat to confidentiality as it is potentially vulnerable to unauthorized access by third parties.



    Scholarships for students at bachelor or master level



    Twenty doctoral scholarships are available for students at Bachelor as well as Diplom or Master level in the graduate school Aachen Institute for Advanced Study in Computational Engineering Science (AICES).

    The Graduate School sets out to advance the computational engineering in three critical areas synthesis:
    model identification and discovery supported by model-based experimentation, understanding scale interaction and scale integration, optimal design and operation of engineered systems.

    More information: http://www.aices.rwth-aachen.de