PhD student in Mathematics with specialization in Computational Mathematics

Linnaeus University
December 06, 2023
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Welcome to Linnaeus University! We meet the societal challenges of today and tomorrow in a spirit of openness, curiosity and creativity. By creating arenas for exchange of knowledge from different subjects, fields and cultures, we open up for new ideas and create new opportunities for long-term sustainable societal development. Linnaeus University – where people grow.

The Faculty of Technology strives to ensure that Linnaeus University's vision permeates all activities, with a focus on the keywords: Attractive knowledge environment, Excellent research, Social drive, and Global values. The Faculty of Technology has broad operations spanning ten different departments through which Linnaeus University provides education and conducts research.

The Department of Mathematics conducts research and education at undergraduate, graduate, and postgraduate levels within mathematics and mathematics education.

The Department is opening a PhD position in Mathematics, focusing on computational mathematics and numerical analysis.

Admitted to: Mathematics

Location until further notice: Växjö

Terms and hours: The doctoral studentship is limited in time in accordance with the Higher Education Ordinance (Chapter 5, Section 7). The studentship is full-time. According to the Higher Education Ordinance, a doctoral studentship shall be a full-time post. If the doctoral student so requests, it may, however, be converted into a part-time post, albeit of no less than 50% of a full-time post. Note that a doctoral student employed at 50% must not have any other duties beside their own doctoral studies. Starting date : 20240101 or by agreement

Job description

The research concerns mathematical methods for partial differential equations with memory (integro-differential equations). The project is part of a very active research area with the aim to understand the behavior of systems with complicated time dependence and developing fast and robust numerical methods. Applications include models in physics, finance, and biology that may include fractional derivatives to model long-range structural stochasticity, and terms that represent a time delay or nonlinearities. The aim of the project is to develop mathematical methods that results in new simulation methods that are essential to build digital twins of our world.

The project will provide training in modern analysis and numerical analysis with applications in contemporary science and engineering, thus equipping the student with highly desirable skills for working in both industry and academia. The Ph.D. student will benefit from existing collaborations in the research area with Durham University (UK) and University of Zagreb (Croatia). The proposed Ph.D. research project is related to several ongoing international projects and the project Pollution-free approximation techniques for fractional integro-differential equations, which is financed by the Swedish Research Council.

Eligibility

General requirements

A person meets the general entry requirements for third-cycle studies if they:

  • Graduated at advanced level
  • Completed undergraduate program of at least 240 credits, including 60 credits at the advanced level or
  • The equivalent knowledge obtained in or outside of Sweden
  • Specific requirements

    A person meets the specific entry requirements for third-cycle studies if they:

  • A minimum of 120 higher education credits in the subject Mathematics or in subjects related to the doctoral level studies, or equivalent knowledge acquired in some or other manner in Sweden or abroad, of which an individual work of at least 15 higher education credits,
  • A good command of English, and
  • Other requirements

    You have a master in mathematics or applied mathematics or other corresponding degree including some subjects in technology or science that have been red as subsidiary subjects.

    Desirable qualifications

    Depth in the subjects that you have chosen to read is desirable along with assessed ability to work independently and programming skills directed towards tools used in mathematical research projects.

    Assessment criteria

    Applications to graduate studies are governed by rules in the admission regulations.

    The selection of candidates is made with regard to the applicant's ability to successfully complete and benefit from their studies at the graduate level. The assessment takes into account academic skills documented in scientific works, especially focused on the quality of the essays at the undergraduate level, any advanced work and other scientific or scholarly works. The assessment also takes into account breadth and composition of the undergraduate degree as well as the picture which the intended principal academic supervisor, examiner, and other colleagues in the research group and the subject obtained of the applicant's potential.

    The applicants are ranked by a review group appointed by the subject.

    Contact

    Head of department Håkan Sollervall, [email protected].

    Main supervisor Christian Engström, [email protected], https: // lnu.se/en/staff/christian.engstrom/

    HR partner Erika Hjelmer, +46 470- 70 82 06, [email protected]

    Welcome with your application according to instructions at the latest, 28th November 2023

    Linnaeus University has the ambition to utilize the qualities that an even gender distribution and diversity brings to the organization.

    Please apply by clicking on the Apply button at the bottom of the ad. Applicants are requested to the application resolving CV, cover letter , a copy of a relevant essay , grades and certificates and other relevant documents. The applicant also requested to submit with their application a proposed research plan within the current area of research. All documents must be attached to digital in the application. The application and other documents shall be marked with the reference number. All documents cited must be received by the University no later than 24.00 (Local time in Sweden) on the closing day.

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