On the complexity of strong approximation of stochastic differential equations with a non-Lipschitz drift coefficient
DOI10.1016/J.JCO.2024.101870zbMATH Open1548.65041MaRDI QIDQ6614416
Larisa Yaroslavtseva, Thomas Müller-Gronbach
Publication date: 7 October 2024
Published in: Journal of Complexity (Search for Journal in Brave)
complexitystochastic differential equationslower error boundserror ratesnon-Lipschitz drift coefficientstrong approximation in \(p\)-th mean
Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A numerical method for SDEs with discontinuous drift
- Euler approximations with varying coefficients: the case of superlinearly growing diffusion coefficients
- Order-preserving strong schemes for SDEs with locally Lipschitz coefficients
- On stochastic differential equations with arbitrary slow convergence rates for strong approximation
- Hitchhiker's guide to the fractional Sobolev spaces
- Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
- Lower error bounds for strong approximation of scalar SDEs with non-Lipschitzian coefficients
- A note on Euler approximations for SDEs with Hölder continuous diffusion coefficients
- First order strong approximations of scalar SDEs defined in a domain
- A note on tamed Euler approximations
- Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations
- Tractability of multivariate problems. Volume I: Linear information
- Higher-order implicit strong numerical schemes for stochastic differential equations
- On explicit order 1.5 approximations with varying coefficients: the case of super-linear diffusion coefficients
- A note on strong approximation of SDEs with smooth coefficients that have at most linearly growing derivatives
- A strong order \(1/2\) method for multidimensional SDEs with discontinuous drift
- Strong convergence rates for Cox-Ingersoll-Ross processes -- full parameter range
- Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient
- Strong convergence of the symmetrized Milstein scheme for some CEV-like SDEs
- Optimal strong approximation of the one-dimensional squared Bessel process
- On arbitrarily slow convergence rates for strong numerical approximations of Cox-Ingersoll-Ross processes and squared Bessel processes
- Convergence rate of Euler-Maruyama scheme for SDEs with Hölder-Dini continuous drifts
- Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations
- Optimal pointwise approximation of SDEs based on Brownian motion at discrete points
- The optimal uniform approximation of systems of stochastic differential equations
- Strong order one convergence of a drift implicit Euler scheme: application to the CIR process
- Approximation of occupation time functionals
- On Milstein approximations with varying coefficients: the case of super-linear diffusion coefficients
- On Milstein-type scheme for SDE driven by Lévy noise with super-linear coefficients
- Approximation of SDEs: a stochastic sewing approach
- An adaptive strong order 1 method for SDEs with discontinuous drift coefficient
- The Euler scheme for stochastic differential equations with discontinuous drift coefficient: a numerical study of the convergence rate
- On the performance of the Euler-Maruyama scheme for SDEs with discontinuous drift coefficient
- On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients
- Strongly asymptotically optimal schemes for the strong approximation of stochastic differential equations with respect to the supremum error
- Adaptive Euler-Maruyama method for SDEs with nonglobally Lipschitz drift
- On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift
- Existence, uniqueness, and approximation of solutions of jump-diffusion SDEs with discontinuous drift
- Tamed Runge-Kutta methods for SDEs with super-linearly growing drift and diffusion coefficients
- The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients
- Loss of regularity for Kolmogorov equations
- Stochastic C-stability and B-consistency of explicit and implicit Milstein-type schemes
- Strong rate of convergence for the Euler-Maruyama approximation of SDEs with Hölder continuous drift coefficient
- On non-polynomial lower error bounds for adaptive strong approximation of SDEs
- Strong convergence for the Euler-Maruyama approximation of stochastic differential equations with discontinuous coefficients
- Continuous Markov processes and stochastic equations
- On the regularity of characteristic functions
- Strong rate of convergence for the Euler-Maruyama approximation of stochastic differential equations with irregular coefficients
- Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Stochastic differential equations and Nilpotent Lie algebras
- Approximate Integration of Stochastic Differential Equations
- An Adaptive Euler--Maruyama Scheme for Stochastic Differential Equations with Discontinuous Drift and its Convergence Analysis
- On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions
- OUP accepted manuscript
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- The tamed Milstein method for commutative stochastic differential equations with non-globally Lipschitz continuous coefficients
- Finite Elements II
- A strong order 3/4 method for SDEs with discontinuous drift coefficient
- The Euler–Maruyama scheme for SDEs with irregular drift: convergence rates via reduction to a quadrature problem
- An Euler-type method for the strong approximation of the Cox–Ingersoll–Ross process
- A Fundamental Mean-Square Convergence Theorem for SDEs with Locally Lipschitz Coefficients and Its Applications
- Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients
- Euler scheme for SDEs with non-Lipschitz diffusion coefficient: strong convergence
- The optimal discretization of stochastic differential equations
- Sharp lower error bounds for strong approximation of SDEs with discontinuous drift coefficient by coupling of noise
- Quantifying a convergence theorem of Gyöngy and Krylov
- Sharp lower error bounds for strong approximation of SDEs with piecewise Lipschitz continuous drift coefficient
- Tamed-adaptive Euler-Maruyama approximation for SDEs with superlinearly growing and piecewise continuous drift, superlinearly growing and locally Hölder continuous diffusion
- A higher order approximation method for jump-diffusion SDEs with discontinuous drift coefficient
This page was built for publication: On the complexity of strong approximation of stochastic differential equations with a non-Lipschitz drift coefficient
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6614416)