PhD Student in Computational Mathematics
Back to available jobsWe invite applications for a fully funded PhD student position to join the research group of Andrew Winters to work on challenging problems in Computational Mathematics for accurate and reliable solutions across the natural sciences.
Your workplace
You will be employed at the Department of Mathematics in the Division of Applied Mathematics, https://liu.se/en/organisation/liu/mai/tima. The research group in Computational Mathematics has been one of the most active in Scandinavia over the past decade. Our group is distinguished by its work on fundamental mathematical and computational tools in numerical analysis, computational fluid dynamics, and uncertainty quantification with diverse applications.
Our group maintains active collaborations with other divisions at Linköping University and broader society, e.g., with Saab, FOI, and SMHI. Additionally, there are active international collaborations with universiteis in Germany, Spain, Canada, South Africa, and the USA. This provides an international work environment in which you will carry out teaching and research duties with individuals from all over the world.
Learn more: Department of Mathematics and Work at the Department of Mathematics.
Your work assignments
A wide variety of physical phenomena like radio transmission, ultrasound, acoustics, or tsunami modelling involve the solution of partial differential equations (PDEs) that model wave phenomena. Knowledge and better understanding of solutions to these problems (approximate or otherwise) is of utmost importance for modern industry, science, medicine, and society. As such, the numerical simulation of time dependent non-linear PDEs has emerged as a key technology.
A main task of this employment is the development and analysis of numerical methods for wave propagation problems. Particular focus concerns novel methods for PDEs that contain nonconservative contributions that arise in modelling applications such as shallow water phenomena, sediment transport, blood flow, or atmospheric sciences. Said analysis focuses on the development of high-order accurate, provably stable methods that produce reliable approximate solutions to difficult nonlinear problems.
These discretisation techniques include, but are not limited to, numerical methods of high order, Discontinuous Galerkin methods, path conservative discretisations, efficient time integration, and energy / entropy stable methods. Curvilinear mesh generation and domain decomposition and/or approximation is ever-present for these problems.
Aspects of high performance computing (HPC) and open source software development is an aspect of the employment. In particular, the continued development of the open-source Julia software package Trixi.jl.
As a PhD student, you devote most of your time to doctoral studies and the research projects of which you are part. Your work may also include teaching or other departmental duties, up to a maximum of 20 per cent of full-time.
Your qualifications
You have graduated at Master’s level in Mathematics, Computer/Data Science, Computational Science and Engineering or completed courses with a minimum of 240 credits, at least 60 of which must be in advanced courses in which you have gained expertise in applied mathematics, numerical analysis, approximation theory, or equivalent subjects. Alternatively, you have gained essentially corresponding knowledge in another way.
Candidates should have experience in the following:
- Development and design of numerical simulation software
- Knowledge of programming languages, e.g., Fortran, C/C++, Julia, or Python
- Numerical methods for partial differential equations (PDEs)
It is desirable if you have experience with high-performance computing (HPC), but this is not required.
We value candidates that can work independently, take initiative, are motivated for the task, and are able to collaborate with others. A strong ability to communicate in English, both orally and in writing, is a requirement.
The employment
When taking up the post, you will be admitted to the program for doctoral studies. More information about the doctoral studies at each faculty is available at Doctoral studies at Linköping University
The employment has a duration of normally four years’ full-time equivalent. Extension of employment up to five years is based on the degree of teaching and institutional assignment. Further extensions may be granted in exceptional circumstances. You will initially be employed for one year, after which your employment will be renewed for a maximum of two years at a time, depending on your progress through the study plan.
Starting date by agreement.
Salary and employment benefits
The salary of PhD students is determined according to a locally negotiated salary progression.
More information about employment benefits at Linköping University is available here.
Union representatives
Information about union representatives, see Help for applicants.
Application procedure
Apply for the position by clicking the “Apply” button below. Your application must reach Linköping University no later than April 9, 2016.
Applications and documents received after the date above will not be considered.
We look forward to receiving your application!
Linköping university has framework agreements and wishes to decline direct contacts from staffing- and recruitment companies as well as vendors of job advertisements.