On the Itô-Alekseev-Gröbner formula for stochastic differential equations

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

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Euler approximations with varying coefficients: the case of superlinearly growing diffusion coefficients
Strong and weak approximation of semilinear stochastic evolution equations
Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
Stochastic partial differential equations: an introduction
Lack of strong completeness for stochastic flows
Weak convergence for a stochastic exponential integrator and finite element discretization of stochastic partial differential equation with multiplicative \& additive noise
A two-sided stochastic integral and its calculus
Stochastic calculus with anticipating integrands
An extension of Itô's formula for anticipating processes
Strong \(p\)-completeness of stochastic differential equations and the existence of smooth flows on noncompact manifolds
Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise
Strong convergence rates for nonlinearity-truncated Euler-type approximations of stochastic Ginzburg-Landau equations
Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise
On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients
An efficient explicit full-discrete scheme for strong approximation of stochastic Allen-Cahn equation
Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations
Analysis of some splitting schemes for the stochastic Allen-Cahn equation
Loss of regularity for Kolmogorov equations
Global bounds on numerical error for ordinary differential equations
Stochastic simulation and Monte Carlo methods. Mathematical foundations of stochastic simulation
Lower bounds and nonuniform time discretization for approximation of stochastic heat equations
Probability theory. A comprehensive course.
Continuous weak approximation for stochastic differential equations
Stochastic flows and Bismut formulas for stochastic Hamiltonian systems
Strong rate of convergence for the Euler-Maruyama approximation of stochastic differential equations with irregular coefficients
On Tamed Euler Approximations of SDEs Driven by Lévy Noise with Applications to Delay Equations
On the Backward Euler Approximation of the Stochastic Allen-Cahn Equation
The real-pole sandwich for rational approximations and oscillation equations
Solving Ordinary Differential Equations I
A First Course in the Numerical Analysis of Differential Equations
OPTIMAL POINTWISE APPROXIMATION OF INFINITE-DIMENSIONAL ORNSTEIN–UHLENBECK PROCESSES
Superconvergence for Multistep Collocation
Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations
Adaptive time-stepping strategies for nonlinear stochastic systems
Enhancing the Order of the Milstein Scheme for Stochastic Partial Differential Equations with Commutative Noise
Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities
Strong approximation of monotone stochastic partial differential equations driven by white noise
A variational approach to nonlinear and interacting diffusions
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen–Cahn equation
Expansion of the global error for numerical schemes solving stochastic differential equations
A course on rough paths. With an introduction to regularity structures
Second order PDE's in finite and infinite dimension
Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations

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