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Research

Faculty of the Caltech Applied & Computational Mathematics department have research interests covering a wide array of application areas. A sample of selected research topics of current interest is given below. In selecting a research topic, students are encouraged to draw on research expertise from throughout the Institute, taking full advantage of Caltech's unique interdisciplinary character.

Computational protein design.
Computational protein design.

Topics
  • multiscale theory and simulation
  • elasticity and pseudoelasticity
  • chemical reactor theory
  • computational molecular biology
  • wavelets, ridgelets, curvelets
  • computational harmonic analysis
  • error correction and bounding
  • perturbation and bifurcation theory
  • statistical estimation
  • theoretical and computational fluid mechanics
  • diffusion and transport in materials
  • simulation of free surface flows
  • theory of partial differential equations
  • homogenization theory
  • magnetohydrodynamics
  • biomolecular design
  • spectral methods
  • vortex dynamics
  • image processing
  • numerical analysis
  • diffractive optics
  • pattern formation
  • parallel scientific computing
  • computational electromagnetism

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