Summary of our report submitted on May 28, 1998

Our report on the Graduate School of Nonlinear Science submitted to the Danish Research Academy on May 28, 1998 (enclosed as appendix 1) contained the following topics:

Scientific profile, including a description of the scientific development of Nonlinear Science and its applications, the specific research areas within the Graduate School of Nonlinear Science, and the activities of the Graduate School.

Research expertise and collaboration, including lists of Danish professors, guest professors and foreign Ph.D. students in the Fall of 1997 and in 1998, and collaboration partners among universities, sector institutions and industrial companies.

Strategy and priorities, including lists of Ph.D. courses at DTU and KU and Core Courses within the Graduate School of Nonlinear Science.

General study program describing core courses, continuous activities, courses, bursts and other activities of the School.

Time schedule and development, accounting for the opening phase of the School through invitation of internationally known scientists within the field of Nonlinear Science and the subsequent transition into a more formalized schedule of Ph.D. courses and core courses

Dimensions and goals, giving information about the number of Danish Ph.D. students (presently 36; 10 new students entering per year) and foreign Ph.D. students (this year 21) expected to participate in the activities of the School, and formulating the long-term goal of the Graduate School in Nonlinear Science: to establish a Danish Ph.D. program at the highest international level.

Co-sponsored Ph.D. grants, arguing for the necessity of more Ph.D. grants and describing our plans to obtain co-sponsored grants.

Success criteria, listing number of publications, conference proceedings and participations, Post Doc. appointments, and foreign Ph.D.'s as relevant parameters.

Organization, listing the head of the School, and the members of the steering and executive committees.

Economy, accounting for additional support and support possibilities for the School.

Visibility, describing the home page and other coordinates and activities of the School.

Updated status report

The present status report includes, on the following pages, updated lists of:

Comments on achievements and future developments

Co-sponsored Ph.D. grants

An important issue discussed when the Danish Research Academy visited the Graduate School in Nonlinear Science on March 20, 1998, is co-sponsored Ph.D. grants. The need for more Ph.D. grants in connection with the Graduate School was evident. At the meeting the Rector for the Danish Research Academy expressed a positive attitude concerning co-sponsoring clustered grants within Nonlinear Science.

In the meantime, Head of Ph.D.studies at DTU, Paul Haase Sørensen has arranged a procedure for including co-sponsored Ph.D. grants in DTU's evaluation procedure. The procedure was available in October 1998 and three co-sponsored grants within

were advertised in Ingeniøren (included as Appendix 2) and on the home page of the Graduate School in Nonlinear Science.

8 applicants (6 Danish and 2 foreign) which were all well-qualified responded to the advertisement. Three very well-qualified candidates for the three grants have been selected as the first priority from the Department of Mathematical Modelling and are presently being evaluated by DTU's Ph.D. Study Committee. These Ph. D. studies are planned to start early in 1999.

A number of other co-sponsored Ph.D. grants are presently under preparation in connection with the Graduate School in Nonlinear Science.

Formalizing the activities of the Graduate School in Nonlinear Science

We are in the process of further formalizing the activities of the School in Ph.D. courses and core courses. Ph. D. courses given by our Guest Professors and new Ph. D. courses given by the participating Danish professors have been advertised and are being planned in addition to the existing Ph.D. programs. They are are an essential component in our education of Ph.D.'s in Nonlinear Science. Particular emphasis is put on new core courses involving teachers from several of the groups within the Graduate School.

So far about 50 diplomas (a sample is included in Appendix 3) documenting participation in the activities of the School have been issued.

As mentioned in our earlier reports, a number of leading scientists have accepted our invitation to visit and collaborate with our Graduate School. Some of them who have not been able to come in 1998, will visit the Graduate School in Nonlinear Science in 1999.

Improving the information channels of the Graduate School

Informations about the activities of School on its home page are continuously being updated. At the moment we are preparing ways of improving the impact of these informations by direct submission to our Ph.D. students and collaborators. The goal its to enhance the participation in our activities and to further the amalgamation of our Ph.D. student body coming from three institutions. Also, we wish to augment the visibility of the School.

Establishing a Marie Curie Training Site

Our steering committee has discussed the idea of establishing Graduate School in Nonlinear Science as a Marie Curie "Training Site" under the fifth EU framework program. We are enthusistic about this suggestion and think that the School is very well qualified for participation in this program. During 1999 we shall prepare a proposal meeting the the requirements including the four criteria defined in the letter of August 28, 1998 from the Danish Research Academy.

Selection of an Advisory Panel for the Graduate School

In our report of May 28, 1998 we proposed the establishment of an advisory panel consisting of internationally known scientists within Nonlinear Science. Constructive propositions as well as critical view points could be valuable for the development of the School. Also, it could contribute to its visibility. At the moment we are considering possible candidates for such a committee.


After the first year of the Graduate School in Nonlinear Science, we may conclude that the Graduate School has been very well received internationally. The collaboration between the groups and institutions participating it the School is functioning very well. We are gaining more experience in common Ph.D. teaching. The efforts to make the School an important instrument in our education of Ph.D.'s in Nonlinear Science will be continued.

Peter L. Christiansen


  • Appendix 1:
    Report of Graduate School in Nonlinear Science

    (submitted May 28, 1998)

  • Appendix 2:
    Advertisement of three Ph.D. grants at Graduate School in Nonlinear Science
    (Ingeniøren, October 16, 1998)

  • Appendix 3:
    Sample Copy of Graduate School in Nonlinear Science Certificate