Applied Mathematics and Analysis Seminar

As part of the Duke University Department of Mathematics, the Program in Applied Mathematics hosts this ongoing series of seminars. The presentations cover a broad range of topics including numerical analysis, ordinary and partial differential equations, nonlinear systems, scientific computing, dynamical systems theory, mathematical biology, pattern formation, and complex physical systems.

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As a convenience, some selected seminars and presentations can be viewed live via the web. Further, we have video archives of past talks, which are also publicly available for you to view at any time.

Next Seminar

Asymptotic-Preserving numerical methods for variable-scale problems. Examples from fluids and plasma dynamics Pierre Degond Institut de Mathematiques de Toulouse, CNRS Monday, February 15, 4:30 p.m. 119 Physics Building Multiscale problems are often treated via asymptotic of homogenization techniques: one first determines the asymptotic limit and then finds an appropriate numerical methods to solve it. Variable scale problems which exhibit a continuous variation of the perturbation parameter from a finite to an infinitesimal value cannot be solved by this method alone. They require the coupling of the asymptotic problem to the original one across the region of scale variation. This coupling is often quite complex and lacks robustness. Asymptotic-Preserving methods represent an alternative to the coupling strategy and provide a way to resolve the original problem without resorting to its asymptotic limit. They provide a systematic methodology to resolve multiscale problems even in situations where the asymptotic limit is quite complex. We will provide examples of this methodology for the treatment of the low-Mach number regime, of quasineutrality in plasmas, large magnetic fields or strong anisotropy in diffusion equations.

Seminars In This Week * Next Week * This Month * This Semester * Previous Semesters *

• Monday, February 15, 2010, 4:30pm, 119 Physics, Applied Math And Analysis Seminar
  Asymptotic-Preserving numerical methods for variable-scale problems. Examples from fluids and plasma dynamics
  Pierre Degond (Institut de Mathematiques de Toulouse, CNRS)

   

  Multiscale problems are often treated via asymptotic of homogenization techniques: one first determines the asymptotic limit and then finds an appropriate numerical methods to solve it. Variable scale problems which exhibit a continuous variation of the perturbation parameter from a finite to an infinitesimal value cannot be solved by this method alone. They require the coupling of the asymptotic problem to the original one across the region of scale variation. This coupling is often quite complex and lacks robustness. Asymptotic-Preserving methods represent an alternative to the coupling strategy and provide a way to resolve the original problem without resorting to its asymptotic limit. They provide a systematic methodology to resolve multiscale problems even in situations where the asymptotic limit is quite complex. We will provide examples of this methodology for the treatment of the low-Mach number regime, of quasineutrality in plasmas, large magnetic fields or strong anisotropy in diffusion equations.

• Monday, February 22, 2010, 4:30pm, 119 Physics, Applied Math And Analysis Seminar
  Transient and self-similar dynamics in thin film coarsening
  Michael Gratton (Northwestern University)

   

  Coarsening is the phenomenon where many objects (water drops, molecular islands, particles in a freezing liquid) becoming smaller in number but larger in size in an orderly way. This talk will examine modeling one such system, nanoscopic liquid drops, through three models: a PDE for the fluid, a coarsening dynamical system for the drops, and an LSW-type ensemble model for the distribution of drops. We will find self-similar solutions for the drop population valid for intermediate times and discuss transient effects that can delay the self-similar scaling.

• Monday, March 1, 2010, 4:30pm, 119 Physics, Applied Math And Analysis Seminar
  TBA
  Andrew Christlieb

• Monday, March 15, 2010, 4:30pm, 119 Physics, Applied Math And Analysis Seminar
  TBA
  Andrej Zlatos

• Monday, March 22, 2010, 4:30pm, 119 Physics, Applied Math And Analysis Seminar
  TBA
  Junping Wang

   

  TBA

• Monday, March 29, 2010, 4:30pm, 119 Physics, Applied Math And Analysis Seminar
  TBA
  Badal Joshi

All seminars take place on Mondays at 4:30 pm in Room 119 Physics Building unless otherwise noted.

• Duke Mathematics Department
• NCSU math seminars
  • NCSU Differential Equations seminar
  • NCSU Numerical Analysis seminar
  • NCSU Probability and Random systems seminar
• UNC-Chapel Hill Applied Mathematics

Past speakers in the Duke SCAM seminars (1996-1998) (1997+)

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