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On Monte Carlo algorithms applied to Dirichlet problems for parabolic operators in the setting of time-dependent domains

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Publication:3632723
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DOI10.1515/MCMA.2009.002zbMath1168.65306OpenAlexW2126592268MaRDI QIDQ3632723

Thomas Önskog, Kaj Nyström

Publication date: 12 June 2009

Published in: Monte Carlo Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/mcma.2009.002



Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical solutions to stochastic differential and integral equations (65C30)


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Pricing and hedging of financial derivatives using a posteriori error estimates and adaptive methods for stochastic differential equations



Cites Work

  • \(L^ 2\) solvability and representation by caloric layer potentials in time-varying domains
  • On the first hitting time and the last exit time for a Brownian motion to/from a moving boundary
  • Numerical Approximation for Functionals of Reflecting Diffusion Processes
  • Euler schemes and half-space approximation for the simulation of diffusion in a domain
  • Adaptive weak approximation of stochastic differential equations
  • Convergence Rates for Adaptive Weak Approximation of Stochastic Differential Equations
  • Adaptive Monte Carlo Algorithms for Stopped Diffusion
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