DOI10.1137/030601429zbMath1111.65007OpenAlexW1987253195MaRDI QIDQ5470438
Werner Römisch, Renate Winkler
Publication date: 30 May 2006
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/98d61b5aa5b1b71c8033fc920aec9aee9b0e7997
A new adaptive Runge-Kutta method for stochastic differential equations,
An adaptive strong order 1 method for SDEs with discontinuous drift coefficient,
A note on strong approximation of SDEs with smooth coefficients that have at most linearly growing derivatives,
On non-polynomial lower error bounds for adaptive strong approximation of SDEs,
Local error estimates for moderately smooth problems. I: ODEs and DAEs,
A variable step-size control algorithm for the weak approximation of stochastic differential equations,
Strong stochastic Runge-Kutta-Munthe-Kaas methods for nonlinear Itô SDEs on manifolds,
Almost sure stability of stochastic theta methods with random variable stepsize for stochastic differential equations,
Mean-square convergence rates of stochastic theta methods for SDEs under a coupled monotonicity condition,
Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations,
On strong convergence of explicit numerical methods for stochastic delay differential equations under non-global Lipschitz conditions,
A Variable Step Size Riemannian Sum for an Itô Integral,
Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations,
A fast algorithm for the first-passage times of Gauss-Markov processes with Hölder continuous boundaries,
A Transition to Sharp Timing in Stochastic Leaky Integrate-and-Fire Neurons Driven by Frozen Noisy Input,
Efficient variable step size approximations for strong solutions of stochastic differential equations with additive noise and time singularity,
On sub-polynomial lower error bounds for quadrature of SDEs with bounded smooth coefficients,
Runge-Kutta methods for jump-diffusion differential equations,
Convergence rate of weak local linearization schemes for stochastic differential equations with additive noise,
The truncated Euler-Maruyama method for stochastic differential equations,
Efficient Stochastic Runge-Kutta Methods for Stochastic Differential Equations with Small Noises,
Almost sure stability of the Euler-Maruyama method with random variable stepsize for stochastic differential equations,
A stepsize control algorithm for SDEs with small noise based on stochastic Runge-Kutta Maruyama methods,
Multi-Step Maruyama Methods for Stochastic Delay Differential Equations,
Collocation methods for nonlinear stochastic Volterra integral equations,
Local error estimates for moderately smooth problems. II: SDEs and SDAEs with small noise,
The Pathwise Convergence of Approximation Schemes for Stochastic Differential Equations,
Numerical Solution of Stochastic Differential Equations in Finance