Numerical Methods For

COURSE ON NUMERICAL METHODS FOR HYPERBOLIC EQUATIONS AND APPLICATIONS

Professor E F Toro Laboratory of Applied Mathematics Faculty of Engineering, University of Trento 38050 Trento, ITALY Tel.: +39 0461 882674; Fax.: +39 0461 882672 Email: [email protected] Webpage: http://www.ing.unitn.it/toro

Dates: From Monday 7th June to Friday 11th June and from Monday 14th June to Friday 18th June, 2004

This course is primarily designed for PhD students and post-doctoral researchers in applied mathematics, engineering, physics, computer science and other scientific disciplines. The course may also be of interest to senior researchers in industry and research laboratories, as well as to senior academics. The 40 lectures on the theory will be supplemented with laboratory-based exercises to provide hands-on experience to all participants on the practical aspects of numerical methods for hyperbolic problems and applications using the library NUMERICA.

MORNING SESSION, Lectures

Lecture 1: from 09:00 to 09:50 Lecture 2: from 10:00 to 10:50 Lecture 3: from 11:00 to 11:50 Lecture 4: from 12:00 to 12:50

AFTERNOON SESSION, Laboratory exercises (Mesiano, Faculty of Engineering)

Laboratory: from 14:30 to 16:30

CONTENTS

WEEK 1 (Povo, Faculty of Science, Meeting room)

Monday Scalar hyperbolic equations and systems of hyperbolic equations Tuesday Numerical methods for PDEs Wednesday The shallow water equations (mathematical properties and the Riemann problem) and finite volume methods for hyperbolic PDEs Thursday Approximate Riemann solvers Friday High-order methods for model equations and TVD schemes WEEK 2 (Mesiano, Faculty of Engineering, Room T1A)

Monday TVD schemes for the shallow water equations and schemes for source terms Tuesday Schemes for multiple space dimensions Wednesday Schemes for diffusion terms and the generalized Riemann problem Thursday Polynomial reconstruction and ADER methods Friday ENO/WENO methods, discontinuous Galerkin FE methods, and methods for multiphase flows

REFERENCES:

Toro E F (1999). Riemann Solvers and Numerical Methods for Fluid Dynamics. Springer-Verlag. Second Edition, 624 pages.

Toro E F (2001). Shock-Capturing Methods for Free-Surface Shallow Flows. Wiley and Sons. 314 pages.

COST Students € 500, Academics: € 750, Others € 1200 (free of “VAT duty” as art. 10 DPR 633/72). These fees cover lectures, laboratory exercises, lecturing material and some demonstration programs from the library NUMERICA.

REGISTRATION AND ADMINISTRATIVE INFORMATION The course is open to 30 persons, pre-registration can be made by e-mail to: Ms. Lorena Galante E-mail: [email protected] or [email protected] Tel. +30 0461 882660 Fax. +39 0461 882672

As soon as we have received your pre-registration we shall confirm weather you have been given a post for the course. With the acceptance in your possession you can proceed to make the necessary arrangements for attending the course, such as travelling arrangements, hotels, etc.

Payment of the course fees to the University of Trento must made by Wednesday 2nd May 2004. Once the payment has been made please send a copy of the payment receipt via fax to the Course secretariat (see above reference).

Payment must be made by bank transfer to: Banca di Trento e Bolzano, Via Mantova 19 -38100 Trento (Italy) c/c 10000496 ABI 03240 - CAB 01801 – SWIFT Code: BATBIT2T, IBAN IT3903240018010000100000496. Bank transfers must be net of all bank charges and must specify the name of the participant and the subject “in order to HYPE course”. PREREGISTRATION FORM Course on “Numerical methods for hyperbolic equations and applications”

Trento, 7 - 11 and 14 - 18 June, 2004

FIRST NAME *

LAST NAME *

PLACE AND DATE OF BIRTH * PROFESSION *

ADDRESS *

CITY *

STATE *

E-MAIL *

INVOICE DETAILS:

ADDRESS

CITY STATE

VAT NUMBER

SIGNATURE *

* data are mandatory

Confidentiality. The information that you have given on this form will be computer processed by the Conference Secretariat in compliance with Italian law 675/96 on data protection. It may be utilized to keep you informed on activities by CUDAM -University of Trento in the future. Your information will not be communicated to third parties. You may ask at any time for its cancellation by written application to the administrative officer of the Conference Secretariat. Do you give permission for the information provided above to be available to selected businesses? □ Yes □ No

Please send the preregistration form to the attention of Ms. Lorena Galante: Fax: +39 0461 882672; e-mail: [email protected]; or Mail: Cudam, University of Trento, Via Mesiano 77, I-38100 Trento – ITALY. For any further information please contact us: [email protected] - phone +39 0461 882660.