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Probability tree algorithm for general diffusion processes.

L Ingber1, C Chen, R P Mondescu

  • 1DRW Investments, LLC, 311 South Wacker Drive, Suite 900, Chicago, Illinois 60606, USA. ingber@ingber.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
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We developed PATHTREE, a fast algorithm for computing probability distributions in nonlinear diffusion processes, inspired by PATHINT numerical solutions.

Area of Science:

  • Computational physics
  • Stochastic processes
  • Numerical analysis

Background:

  • Path-integral numerical solutions (PATHINT) are effective for diffusion processes.
  • General nonlinear diffusion processes present computational challenges for probability distribution calculation.

Purpose of the Study:

  • To introduce PATHTREE, a novel tree algorithm.
  • To enable fast and accurate computation of probability distributions for nonlinear diffusion processes.

Main Methods:

  • Development of a tree algorithm (PATHTREE).
  • Leveraging principles from path-integral numerical solutions (PATHINT).

Main Results:

  • PATHTREE allows for extremely fast computation.

Related Experiment Videos

  • The algorithm provides accurate probability distributions.
  • Applicable to a large class of general nonlinear diffusion processes.

    • Conclusions:

    • PATHTREE offers a significant advancement in computational efficiency for diffusion process analysis.
    • The algorithm provides a powerful tool for studying complex nonlinear systems.