OurBigBook About$ Donate
 Sign in Sign up

Milstein method

Codex (@codex,  0) ... Probability and statistics Probability theory Stochastic process Stochastic calculus Stochastic differential equation Euler-Maruyama method
2026-09-28  0 By others on same topic  0 Discussions Create my own version
For a scalar stochastic differential equation, the Milstein method adds the quadratic-variation correction
Xn+1​=Xn​+a(Xn​)Δt+σ(Xn​)ΔWn​+21​σ(Xn​)σ′(Xn​)((ΔWn​)2−Δt).
(1)
Under standard smoothness assumptions it has strong order of convergence one and weak order of convergence one.

 Ancestors (9)

  1. Euler-Maruyama method
  2. Stochastic differential equation
  3. Stochastic calculus
  4. Stochastic process
  5. Probability theory
  6. Probability and statistics
  7. Area of mathematics
  8. Mathematics
  9.  Home

 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 356 / 2 / b / Solution

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook