---

Reduced System Computing

For Singularly Perturbed Ordinary Differential Equations

Warren Weckesser

(Partially supported by NSF Grant DMS-0514468.)

Software

• SUNDIALS-CLN : The CVODE library in the SUNDIALS suite was converted to use arbitrary precision floating point numbers. This provides a tool for the numerical study of canards and other solutions to singularly perturbed differential equations that are difficult or impossible to compute with standard precision floating point numbers.
• More to come...

Undergraduate Participants

• Brian Kinney
• Tomasz Gruszka
• Dimitar Simeonov

Presentations

• "Reduced System Computing and MMOs" (PDF)
  SIAM Conference on Applications of Dynamical Systems,
  Snowbird, Utah
  May 29, 2007
• "Reduced System Computing for Singularly Perturbed Differential Equations" (PDF)
  The 5^th International Conference on Differential Equations and Dynamical Systems,
  University of Texas - PanAmerican
  Dec. 17, 2006
• "Reduced System Computations and Bifurcations for Singularly Perturbed Differential Equations",
  RPI Mathematics Colloquium,
  Rensselaer Polytechnic Institute
  Feb. 6, 2006