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New Representations of the Taylor–Stratonovich Expansion
4 references·7 citing·18 second hop
New Representations of the Taylor–Stratonovich Expansion (2003)New Representations of the Taylor–Straton…Numerical solution of stochastic differential equations (2016)Numerical solution of stochas…Stochastic Differential Equations (2012)Stochastic Differential Equat…Approximation of itô integral equations (2005)Approximation of itô integral…Stratonovich and Ito Stochastic Taylor Expansions (1991)Stratonovich and Ito Stochast…The Hypotheses on Expansions of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity and Their Partial Proof (2018)The Hypotheses on Expansions …Expansion of Iterated Stratonovich Stochastic Integrals of Multiplicity 3 Based on Generalized Multiple Fourier Series Converging in the Mean: General Case of Series Summation (2018)Expansion of Iterated Straton…Expansion of Iterated Stratonovich Stochastic Integrals of Fifth Multiplicity Based on Generalized Multiple Fourier Series (2018)Expansion of Iterated Straton…Expansion of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Iterated Fourier Series Converging Pointwise (2018)Expansion of Iterated Straton…Expansion of Iterated Stochastic Integrals with Respect to Martingale Poisson Measures and with Respect to Martingales Based on Generalized Multiple Fourier Series (2018)Expansion of Iterated Stochas…Mean-Square Approximation of Iterated Ito and Stratonovich Stochastic Integrals of Multiplicities 1 to 6 from the Taylor-Ito and Taylor-Stratonovich Expansions Using Legendre Polynomials (2017)Mean-Square Approximation of …Expansions of Iterated Stratonovich Stochastic Integrals of Multiplicities 1 to 4, Based on Generalized Multiple Fourier Series (2017)Expansions of Iterated Strato…Stochastic Differential Equations (1992)Brownian Motion and Stochastic Calculus (1998)Stochastic Differential Equations (2014)Stochastic Differential Equations and Diffusion Processes (1981)Stochastic Differential Equations and Diffusion Processes (1983)Flots et series de Taylor stochastiques (1989)A basis for iterated stochastic integrals (1995)On the Convergence Rates of a General Class of Weak Approximations of SDEs (2007)Expansion of iterated Stratonovich stochastic integrals based on generalized multiple Fourier series (2019)On the relation between ordinary and stochastic differential equations (1965)Multiple Wiener Integral (1951)Numerical Solution of Ito Integral Equations (1974)Weak approximation of a diffusion process in a bounded domain (1997)Optimal pointwise approximation of SDEs based on Brownian motion at discrete points (2004)Martingale Methods in Financial Modelling (1997)Alternative models for stock price dynamics (2003)Multilevel Monte Carlo Path Simulation (2008)Exact Calculation of the Mean-Square Error in the Method of Approximation of Iterated Ito Stochastic integrals, Based on Generalized Multiple Fourier Series (2018)
this work references cited by second hop

References

  • 2016Numerical solution of stochastic differential equations5,001 cited
  • 1991Stratonovich and Ito Stochastic Taylor Expansions47 cited
  • 2005Approximation of itô integral equations45 cited
  • 2012Stochastic Differential Equations43 cited

Cited by

  • 2017Mean-Square Approximation of Iterated Ito and Stratonovich Stochastic Integrals of Multiplicities 1 to 6 from the Taylor-Ito and Taylor-Stratonovich Expansions Using Legendre Polynomials29 cited
  • 2018Expansion of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Iterated Fourier Series Converging Pointwise28 cited
  • 2018Expansion of Iterated Stratonovich Stochastic Integrals of Fifth Multiplicity Based on Generalized Multiple Fourier Series25 cited
  • 2018Expansion of Iterated Stochastic Integrals with Respect to Martingale Poisson Measures and with Respect to Martingales Based on Generalized Multiple Fourier Series25 cited
  • 2017Expansions of Iterated Stratonovich Stochastic Integrals of Multiplicities 1 to 4, Based on Generalized Multiple Fourier Series24 cited
  • 2018Expansion of Iterated Stratonovich Stochastic Integrals of Multiplicity 3 Based on Generalized Multiple Fourier Series Converging in the Mean: General Case of Series Summation22 cited
  • 2018The Hypotheses on Expansions of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity and Their Partial Proof21 cited

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