Job description

3 months research position available at the Department of Mathematics, University of Oslo.

The research fellow will be attached to the section for differential equations and computational mathematics (Section 4). The fellows will perform research within convergence rates and uncertainty quantification for conservation laws with discontinuous coefficients.

For information about the relevant research group, see:

http://www.mn.uio.no/math/english/research/groups/partial-differential-equations/index.html

More about the position

The position is inteded for a PhD student, to work within the ModCompShock http://modcompshock.eu project, funded by Marie Skłodowska-Curie Actions, Initial Training Networks.

http://ec.europa.eu/research/mariecurieactions/funded-projects/initial-training-networks_en

Specifically, we seek applicants for the following project:

Convergence rates and uncertainty quantification for conservation laws with discontinuous coefficients.

Rigorous estimates for uncertainty quantification for conservation laws have only been proved for scalar conservation laws, possibly with Lipschitz continuous coefficients. To have a complete theory also for conservation laws with discontinuous coefficients, one would need estimates of the convergence rate for numerical methods. For general flux functions, such estimates seem hard to prove. As a first step in this direction we aim to prove convergence rates in the case where the flux function is monotone in the unknown variable. If we can prove such convergence rates, uncertainty estimates will follow.

We seek candidates who are familiar with both theory and numerical methods for conservation laws.

Qualification requirements

The Faculty of Mathematics and Natural Sciences has a strategic ambition of being a leading research faculty. Candidates for these position will be selected in accordance with this, and expected to be in the upper segment of their class with respect to academic credentials.

Applicants must have a PhD position in partial differential equations, at a University outside Norway.

• fluent oral and written communication skills in English ev. and a Scandinavian language

We offer

• salary NOK 449 400 – 497 000 per annum depending on qualifications in a position as PhD Research fellow, (position code 1017)
• attractive welfare benefits and a generous pension agreement, in addition to Oslo’s family-friendly environment with its rich opportunities for culture and outdoor activities

How to apply

The application must include

• Application letter
• CV (summarizing education, positions and academic work)
• Names and contact details of 2-3 references (name, relation to candidate, e-mail and telephone number)

The application with attachments must be delivered in our electronic recruiting system, please follow the link “Apply for this job”. Foreign applicants are advised to attach an explanation of their University's grading system. Please note that all documents should be in English (or a Scandinavian language).

When evaluating the application, emphasis will be given to the eventuelt “project description” and the applicant’s academic and personal prerequisites to carry out the project. Applicants may be called in for an interview.

Formal regulations

Please see the guidelines and regulations for appointments to Research Fellowships at the University of Oslo.

According to the Norwegian Freedom and Information Act (Offentleglova) information about the applicant may be included in the public applicant list, also in cases where the applicant has requested non-disclosure.

The appointment may be shortened/given a more limited scope within the framework of the applicable guidelines on account of any previous employment in academic positions.

The University of Oslo has an agreement for all employees, aiming to secure rights to research results etc.

Contact information

For further information please contact: Professor Nils Henrik Risebro, phone: +47 228 56027, e-mail: nilshr@math.uio.no

For further question regarding the application system please contact: HR Officer Ørjan Pretorius, e-mail: orjan.pretorius@mn.uio.no

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