Balanced Implicit Methods for Stiff Stochastic Systems

  • Authors:
  • G. N. Milstein;E. Platen;H. Schurz

  • Affiliations:
  • -;-;-

  • Venue:
  • SIAM Journal on Numerical Analysis
  • Year:
  • 1998

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Abstract

This paper introduces some implicitness in stochastic terms of numerical methods for solving stiff stochastic differential equations and especially a class of fully implicit methods, the balanced methods. Their order of strong convergence is proved. Numerical experiments compare the stability properties of these schemes with explicit ones.