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On Computational Mathematics in Central Africa

On Computational Mathematics in Central Africa. by Jacques Tagoudjeu Ecole Nationale Supérieure Polytechnique , University of Yaoundé I, Cameroon. Outline. What is Computational Mathematics? Goal and Requirement Interest for Central Africa Resources of Computational Mathematics

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On Computational Mathematics in Central Africa

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  1. On Computational Mathematics in Central Africa by Jacques Tagoudjeu EcoleNationaleSupérieurePolytechnique, University of Yaoundé I, Cameroon

  2. Outline • What is Computational Mathematics? • Goal and Requirement • Interest for Central Africa • Resources of Computational Mathematics • Situation in Central Africa • What Solution?

  3. What is Computational Mathematics • Computational mathematics involves mathematical research in areas of science where computing plays a central and essential role, emphasizing algorithms, numerical methods, and symbolic methods (wikipedia). • It combines core studies in mathematics, computer sciences and their applications in several other scientific disciplines • It is a combination of mathematics and science and involves a lot of computing.

  4. Some Areas of Applications • Physics and engineering; • Biology; • Medicine; • Actuarial science and finance; • Search engine; • etc…

  5. Major Fields: • Numerical Linear Algebra; • Numerical Solution of Differential and Integro-Differential Equations; • Optimization and Optimal Control; • Computational Statistics; • Statistical Applications; • Imaging; • Large Scale Scientific Computing.

  6. Goal and Requirement Goal: • Develop and Analyze Algorithms that solve problems computationally (using computer).

  7. Goal and Requirement (continue) Requirement for algorithms: • Accuracy: Able to return a result that is numerically very close to the analytical result; • Efficiency: Able to quickly solve the problem using reasonable computational resources • Robustness: work for a wide variety of inputs • Stability: not sensitive to small changes in the inputs

  8. Resources of Computational Mathematics • Computational Mathematicians • Robust computing facilities

  9. Interest for Central Africa • Simulating climate change and the impact on environment; • Traffic modeling and simulation; • Reservoir simulation for petroleum and gas resources; • Weather forecasting and impact on hydrologic energy production; • Optimization of electrical and water supply

  10. Interest for Central Africa • Strategic planning for financial institutions; • Epidemic diseases spreading and effect of immunization • Reservoir simulation of ground water; • Water sources detection by remote sensing; • Monitoring agricultural farm using hyperspectral imaging; • Etc…

  11. What about Central Africa? • Universities offering Graduate courses in Computational Math: 1 (University of Yaoundé I: UYI) • Number of Ph.D in the last 20 years: < 10 • Registered Ph.D student for the ongoing academic year: <5 • Number of Specialists: <15

  12. What about Central Africa? (continue) • UYI hosts an international laboratory of computer science and applied mathematics (LIRIMA), but Computational Math is not enough representative therein. • Lack of computational facilities. • Number of private and institutional contracts from here and abroad: 0 • Scientific events on Computational Mathematics and related:0

  13. Worst Situation !!!

  14. Some solutions • Creation of Computational Mathematics centers to strengthen postgraduate training and research; • Acquirement of computational facilities; • Mutualisation of computational facilities; • Creation of sub-regional and regional Networks of excellence in computational math;

  15. Some solutions (continue) • Involving the Diaspora in teaching and train the trainer programs; • Development of exchange programs; • Communicate on the usefulness of the computational mathematics;

  16. Some Good News • Master program in Applied Statistic at ENSP since 2003 (54 Master’s and 5 Ph.D Graduated); • Coming soon at ENSP: • An international Master program in Mechanical Structure Analysis including computational mechanic ; • A computational engineering program ; • Center of Computational Science

  17. THANK YOU !!!

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