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
Fuente:
arXiv
Saved in:
| Main Author: | Kuznetsov, Dmitriy F. |
|---|---|
| Format: | Preprint |
| Published: |
2017
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Development and Application of the Fourier Method to the Mean-Square Approximation of Iterated Ito and Stratonovich Stochastic Integrals
by: Kuznetsov, Dmitriy F.
Published: (2017)
by: Kuznetsov, Dmitriy F.
Published: (2017)
Four New Forms of the Taylor-Ito and Taylor-Stratonovich Expansions and its Application to the High-Order Strong Numerical Methods for Ito Stochastic Differential Equations
by: Kuznetsov, Dmitriy F.
Published: (2020)
by: Kuznetsov, Dmitriy F.
Published: (2020)
Expansions of Iterated Stratonovich Stochastic Integrals from the Taylor-Stratonovich Expansion, Based on Multiple Trigonometric Fourier Series. Comparison With the Milstein Expansion
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
Strong Approximation of Iterated Ito and Stratonovich Stochastic Integrals Based on Generalized Multiple Fourier Series. Application to Numerical Solution of Ito SDEs and Semilinear SPDEs
by: Kuznetsov, Dmitriy F.
Published: (2020)
by: Kuznetsov, Dmitriy F.
Published: (2020)
Implementation of Strong Numerical Methods of Orders 0.5, 1.0, 1.5, 2.0, 2.5, and 3.0 for Ito SDEs with Non-Commutative Noise Based on the Unified Taylor-Ito and Taylor-Stratonovich Expansions and Multiple Fourier-Legendre Series
by: Kuznetsov, Mikhail D., et al.
Published: (2020)
by: Kuznetsov, Mikhail D., et al.
Published: (2020)
Expansion of Iterated Stratonovich Stochastic Integrals of Multiplicity 2 Based on Double Fourier-Legendre Series Summarized by Pringsheim Method
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
The Hypotheses on Expansion of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity and Their Partial Proof
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
Expansions of Iterated Stratonovich Stochastic Integrals Based on Generalized Multiple Fourier Series: Multiplicities 1 to 8 and Beyond
by: Kuznetsov, Dmitriy F.
Published: (2017)
by: Kuznetsov, Dmitriy F.
Published: (2017)
Expansion of Iterated Stratonovich Stochastic Integrals of Multiplicity 2. Combined Approach Based on Generalized Multiple and Iterated Fourier Series
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
Expansion of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Iterated Fourier Series Converging Pointwise
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
Expansions of Iterated Stratonovich Stochastic Integrals of Multiplicities 1 to 4. Combained Approach Based on Generalized Multiple and Iterated Fourier series
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
New Simple Method of Expansion of Iterated Ito Stochastic integrals of Multiplicity 2 Based on Expansion of the Brownian Motion Using Legendre Polynomials and Trigonometric Functions
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
Expansion of Iterated Ito Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Multiple Fourier Series Converging in the Mean
by: Kuznetsov, Dmitriy F.
Published: (2017)
by: Kuznetsov, Dmitriy F.
Published: (2017)
Expansion of Iterated Stratonovich Stochastic Integrals of Multiplicity 3 Based on Generalized Multiple Fourier Series Converging in the Mean: General Case of Series Summation
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
Expansion of Iterated Stratonovich Stochastic Integrals of Fifth, Sixth, Seventh and Eighth Multiplicities Based on Generalized Multiple Fourier Series
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
Exact Calculation of the Mean-Square Error in the Method of Expansion of Iterated Ito Stochastic integrals Based on Generalized Multiple Fourier Series
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
The Proof of Convergence with Probability 1 in the Method of Expansion of Iterated Ito Stochastic Integrals Based on Generalized Multiple Fourier Series
by: Kuznetsov, Dmitriy F.
Published: (2020)
by: Kuznetsov, Dmitriy F.
Published: (2020)
Branched Itô formula and natural Itô-Stratonovich isomorphism
by: Bellingeri, Carlo, et al.
Published: (2023)
by: Bellingeri, Carlo, et al.
Published: (2023)
Itô-Stratonovich Conversion in Infinite Dimensions for Unbounded, Time-Dependent, Nonlinear Operators
by: Goodair, Daniel
Published: (2025)
by: Goodair, Daniel
Published: (2025)
Rough Path Renormalization from Stratonovich to Itô for Fractional Brownian Motion
by: Qian, Zhongmin, et al.
Published: (2018)
by: Qian, Zhongmin, et al.
Published: (2018)
On the Itô-Stratonovich Diffusion Limit for the Magnetic Field in a 3D Thin Domain
by: Butori, Federico, et al.
Published: (2024)
by: Butori, Federico, et al.
Published: (2024)
New representations of the Hu-Meyer formulas and series expansion of iterated Stratonovich stochastic integrals with respect to components of a multidimensional Wiener process
by: Kuznetsov, Dmitriy F.
Published: (2025)
by: Kuznetsov, Dmitriy F.
Published: (2025)
Comparative Analysis of the Efficiency of Application of Legendre Polynomials and Trigonometric Functions to the Numerical Integration of Ito Stochastic Differential Equations
by: Kuznetsov, Dmitriy F.
Published: (2018)
by: Kuznetsov, Dmitriy F.
Published: (2018)
A Resolution of the Ito-Stratonovich Debate in Quantum Stochastic Processes
by: Mukherjee, Aritro
Published: (2026)
by: Mukherjee, Aritro
Published: (2026)
Chaos, Ito-Stratonovich dilemma, and topological supersymmetry
by: Ovchinnikov, Igor V.
Published: (2025)
by: Ovchinnikov, Igor V.
Published: (2025)
Itô, Stratonovich, and zoom-in schemes in stochastic inflation
by: Tomberg, Eemeli
Published: (2024)
by: Tomberg, Eemeli
Published: (2024)
A new proof of the expansion of iterated Ito stochastic integrals with respect to the components of a multidimensional Wiener process based on generalized multiple Fourier series and Hermite polynomials
by: Kuznetsov, Dmitriy F.
Published: (2023)
by: Kuznetsov, Dmitriy F.
Published: (2023)
Ito Diffusion Approximation of Universal Ito Chains for Sampling, Optimization and Boosting
by: Ustimenko, Aleksei, et al.
Published: (2023)
by: Ustimenko, Aleksei, et al.
Published: (2023)
Time-dependency in hyperbolic Anderson model: Stratonovich regime
by: Chen, Xia
Published: (2025)
by: Chen, Xia
Published: (2025)
Stochastic PDEs with correlated, non-stationary Stratonovich noise of Dean--Kawasaki type
by: Fehrman, Benjamin
Published: (2025)
by: Fehrman, Benjamin
Published: (2025)
Functional Itô-formula and Taylor expansions for non-anticipative maps of càdlàg rough paths
by: Cuchiero, Christa, et al.
Published: (2025)
by: Cuchiero, Christa, et al.
Published: (2025)
Riemann-Skorohod and Stratonovich integrals for Gaussian processes
by: Liu, Yanghui
Published: (2025)
by: Liu, Yanghui
Published: (2025)
Numerical Integration of stochastic differential equations: The Heun Algorithm Revisited and Itô-Stratonovich Calculus
by: Mannella, Riccardo
Published: (2025)
by: Mannella, Riccardo
Published: (2025)
Stochastic selection problem for a Stratonovich SDE with power non-linearity
by: Pavlyukevich, Ilya, et al.
Published: (2023)
by: Pavlyukevich, Ilya, et al.
Published: (2023)
Itô's Formula for the Rearranged Stochastic Heat Equation
by: Delarue, François, et al.
Published: (2024)
by: Delarue, François, et al.
Published: (2024)
Exact Simulation for Multivariate Itô Diffusions
by: Blanchet, Jose, et al.
Published: (2017)
by: Blanchet, Jose, et al.
Published: (2017)
Itō and Itō-Wentzell chain rule for flows of conditional laws of continuous semimartingales: an easy approach
by: Fadle, Assil, et al.
Published: (2024)
by: Fadle, Assil, et al.
Published: (2024)
On the orthogonal expansion of iterated Stratonovich stochastic integrals
by: Rybakov, Konstantin A.
Published: (2025)
by: Rybakov, Konstantin A.
Published: (2025)
Itô perspective on variance renormalisation
by: Dareiotis, Konstantinos, et al.
Published: (2026)
by: Dareiotis, Konstantinos, et al.
Published: (2026)
Stochastic Itô Equations and Parabolic Second-Order Equations with singular Drift
by: Krylov, N. V.
Published: (2026)
by: Krylov, N. V.
Published: (2026)
Similar Items
-
Development and Application of the Fourier Method to the Mean-Square Approximation of Iterated Ito and Stratonovich Stochastic Integrals
by: Kuznetsov, Dmitriy F.
Published: (2017) -
Four New Forms of the Taylor-Ito and Taylor-Stratonovich Expansions and its Application to the High-Order Strong Numerical Methods for Ito Stochastic Differential Equations
by: Kuznetsov, Dmitriy F.
Published: (2020) -
Expansions of Iterated Stratonovich Stochastic Integrals from the Taylor-Stratonovich Expansion, Based on Multiple Trigonometric Fourier Series. Comparison With the Milstein Expansion
by: Kuznetsov, Dmitriy F.
Published: (2018) -
Strong Approximation of Iterated Ito and Stratonovich Stochastic Integrals Based on Generalized Multiple Fourier Series. Application to Numerical Solution of Ito SDEs and Semilinear SPDEs
by: Kuznetsov, Dmitriy F.
Published: (2020) -
Implementation of Strong Numerical Methods of Orders 0.5, 1.0, 1.5, 2.0, 2.5, and 3.0 for Ito SDEs with Non-Commutative Noise Based on the Unified Taylor-Ito and Taylor-Stratonovich Expansions and Multiple Fourier-Legendre Series
by: Kuznetsov, Mikhail D., et al.
Published: (2020)