“Topics in Applied Mathematics”
A research school organized in cooperation with CWM (Committee for Women in Mathematics) of the IMU (International Mathematical Union), College of Science-University of Diyala and Nesin Mathematical Village.
College of Science-University of Diyala organizes and support this scientific research school in cooperation with CWM (Committee for Women in Mathematics) of the IMU (International Mathematical Union), College of Science-University of Diyala and Nesin Mathematical Village.
In aim to reduce the Gender Gap in Science, this research school is organized and supported by the CWM (Committee for Women in Mathematics) where junior and senior women work together on pre-defined research projects in the different (Scientific, lecturers, organizing) committees.
Coordinator: Fatima M. Aboud, Department of mathematics, College of Sciences, University of Diyala.
E-mail : Fatima.Aboud@sciences.uodiyala.edu.iq firstname.lastname@example.org
Location : Nesin Mathematics Village-Izmir-Turkey
Hosting institution : Nesin Mathematics Village-Izmir-Turkey
Dates : 26-29 Novembre 2021
Deadline 15 Novembre 2021
Description of the program
The objective of this school is to offer a fairly complete courses in different fields of applied mathematics. The fact that, the courses are in some different domains of mathematics, this will permit the participants to have a large vision of some different domains. These courses will be intended by students, researchers or teaching researchers wishing to acquire an introduction to some modern topics in the field of applied mathematics. The program will be done in a way that it will permit to keep some discussion time each day of the school to give the participants the ability to discuss them future project with each other or with the lecturers or even to discuss about the courses given each day of the school (To do so, the participants will be able to present them research works in a conference talks in addition of the planed lectures of the keynote speakers).
Because of the COVID crisis, we present our lectures and seminer virtually on-line and non-virtually in the very nice calssroom of Nesin Mathematical Village.
- Mrs. Nadia Raissi : Faculté des Sciences, Rabat, Maroc
- Mrs. Amal Bergam : Faculté polydisciplinaire, Larache, Maroc
- Mrs. Arbah Sultan: College of Sciences, University of Diyala, Iraq
- Miss. Khwazbeen S. Fatah: College of Sciences-Salahaddin University, Iraq
- Mrs. Ghafrani Fatima : Faculté polydisciplinaire, Larache, Maroc
- Mrs. Fakhouri Hanane : Faculté polydisciplinaire, Larache, Maroc
Organizing Committee :
- The person in charge: Miss. Fatima Aboud, Department of mathematics, College of Sciences, University of Diyala, Iraq (Fatima.Aboud@sciences.uodiyala.edu.iq)
- Mrs. Ghafrani Fatima : Faculté polydisciplinaire, Larache, Maroc.
- Mrs. Aslı Can Korkmaz, Nesin Mathematics Village, Turkey (email@example.com)
- Miss. Aycan Sahin, Nesin Mathematics Village, Turkey(firstname.lastname@example.org)
- Mrs. Najlae Idrissi, University of Sultan Moulay Sliman Beni Mellal, Morocco, (email@example.com)
Lecturers and courses
- Mrs. BERGAM AMAL, MAE2D laboratory, University Abdelmalek Essaadi, Polydisciplinary Faculty of Larache,Morocco
ADAPTATION TECHNIQUES BASED ON A POSTERIORI ESTIMATIONS FOR DIFFERENT PROBLEMS
- Mrs. Fatima M. Aboud, Department of mathematics, College of Sciences, University of Diyala, Iraq Fatima.Aboud@sciences.uodiyala.edu.iq
Non-linear eigenvalue problems: Theory and applications
- Mrs. Najlae Idrissi, University of Sultan Moulay Sliman Beni Mellal, Morocco,
Mathematical tools in image processing
- Miss. Adawiya Ali, College of Sciences, University of Diyala, Iraq
Mathematical Modeling and Optimization
Description of each course
Mrs. Fatima ABOUD: Non-linear eigenvalue problems: Theory and applications
A non-linear eigenvalue problem is a kind of problems in which we consider a family of operators depends polynomially on a parameter with a degree greater than 1. In general, non-linear eigenvalue problems can be reduced to usual eigenvalue problems but it is useful to take care of their particular structure.
The non-linear eigenvalue problems comes naturally in some real-life applications such as the problem of damped waves. The theoretical study of this kind of problems is so complicated, some recent numerical methods can help to understand better these kind of problems.
Mrs. BERGAM AMAL : ADAPTATION TECHNIQUES BASED ON A POSTERIORI ESTIMATIONS FOR DIFFERENT PROBLEMS
Mesh adaptively based on a posteriori error estimation techniques have become an indispensable tool in large scale scientific computation and a lot of works have been done for the Finite Element discretization of elliptic problems. The main results consist in exhibiting local error indicators which can be computed explicitly as a function of the discrete solution and the data. Since they are local they provide a good representation of the error distribution, and they are so very efficient tools for mesh adaptively.
Miss. Adawiya Ali, Mathematical Modeling and Optimization
The optimum seeking methods are also known as mathematical programming techniques and are generally studied as a part of operations research. Operations research is a Branch of mathematics concerned with the application of scientific methods to decision making problems and with establishing the Best or optimal Solutions.
Mrs. Najlae Idrissi, Mathematical tools in image processing
The purpose of image processing is to examine and analysis the images studied in order to have an interpretation or make a decision. This treatment occurs in several fields ranging from content-based research, from diagnostic aid, to object detection, etc. This process takes place in several phases: the pre-processing which consists in improving the quality of the images; segmentation, which aim is to divide the image into different shapes or objects; then either classification into different classes, restoration or reconstruction. Given the importance and criticality of this field, the used tools must be robust and reliable. In this course, we will give an overview of the classical and new approaches of mathematical tools for image processing with an application to the problem of magnetic resonance images (MRI) segmentation. Will be discussed: • The basics of signal processing: image formation, sampling, filtering and restoration. • Detecting indices, invariance and scale space: methods for extracting relevant information from the image (contours, point of interest, etc.). • The segmentation: i) Mathematical morphology: built on the basis of two operators, erosion and dilation, which allows the segmentation and the identification of shapes. ii) Some energy-based optimization approaches (EDP for example) and bio-inspired approaches.
For more Information and registration contact: Fatima.Aboud@sciences.uodiyala.edu.iq
For detailed informations about Nesin Mathematical Village : Nesin Köyleri | Nesin Matematik, Sanat ve Felsefe Köyü (nesinkoyleri.org) Nesin Köyleri | Arrivals (nesinkoyleri.org)