1 / 7

Computational Mathematics in Mathematical Research --- My Experience

Computational Mathematics in Mathematical Research --- My Experience. Daniel Lee Tunghai University, Taiwan April 8 , 2014. Outlines. Beyond Mathematics Some Mathematics Essential Mathematics Applied Mathematics Conclusions. Beyond Mathematics Case 1. National D efense System C^3 I

rochelle-meunier
Télécharger la présentation

Computational Mathematics in Mathematical Research --- My Experience

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Computational Mathematics inMathematical Research--- My Experience Daniel Lee Tunghai University, Taiwan April 8, 2014

  2. Outlines • Beyond Mathematics • Some Mathematics • Essential Mathematics • Applied Mathematics • Conclusions

  3. Beyond Mathematics Case 1 • National Defense System • C^3 I • command,control,communication,intelligence • War Game • My gains in Information Technology • conceptual design • system level know-how’s

  4. Some Mathematics Case 2 • CAD/CAM/CAE • Computer-Aided-Drafting • Computer-Aided-Design : AutoCad, CadKey • Computer-Aided-Manufacturing : SmartCam • Computer-Aided-Engineering : Pro-Engineer • My gains • program manager • know more spline applications : CAGD, SSI, … , etc. • know about … by Team Work • work right up to The Institution

  5. Essential MathematicsCase 3 • Computational Science, vs • Scientific Computing, vs • Scientific Computation . • Numerical Mathematics vs • Computational Mathematics • computational linear algebra • computational optimization/mathematical programing • computational ode/pde • computational signal and image processing • My gains : The Most Complicated Frontier • Multi-grid vs Multi-level • Parallel Computation via Domain Decomposition • data parallel vs functional parallel

  6. Conclusion • The wider the scope, the more freedom to success • The wider the scope, the longer lasting the system • The wider the scope, the more soft-tools • The wider the scope, the more useful math • The wider the scope, the little the pure math • The wider the scope, the easier the pure math • The wider the scope, good sol’s better than optimal sol’s • The wider the scope, the more challenging in many aspects

  7. Applied Mathematics -PU and THU • Free-Boundary Problem • Two-phase Solidification • with a mushy layer dynamics • computational Cauchy-convergence • Numerical Heart Modeling---ECG • Bio-Modeling of real life problem • Mathematical Model accordingly • Computational Model : continuous vs discrete • (Hex) FV-based FD approach • Proto-type via Matlab / Octave • Burning test : C-code(s)

More Related