The semi-discrete method for the approximation of the solution of stochastic differential equations
From MaRDI portal
Publication:1982270
DOI10.1007/978-3-030-72563-1_23zbMath1477.65025OpenAlexW3194781222MaRDI QIDQ1982270
Publication date: 7 September 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-72563-1_23
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items (2)
Pathwise stability and positivity of semi-discrete approximations of the solution of nonlinear stochastic differential equations ⋮ Boundary preserving explicit scheme for the Aït-Sahalia mode
Cites Work
- Unnamed Item
- Unnamed Item
- Euler approximations with varying coefficients: the case of superlinearly growing diffusion coefficients
- On the construction of boundary preserving numerical schemes
- A boundary preserving numerical algorithm for the Wright-Fisher model with mutation
- Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
- Construction of positivity preserving numerical schemes for some multidimensional stochastic differential equations
- An explicit and positivity preserving numerical scheme for the mean reverting CEV model
- A new numerical scheme for the CIR process
- Preserving positivity in solutions of discretised stochastic differential equations
- Constructing positivity preserving numerical schemes for the two-factor CIR model
- On the numerical solution of some non-linear stochastic differential equations using the semi-discrete method
- Mathematical population genetics. I: Theoretical introduction.
- Approximating explicitly the mean-reverting CEV process
- Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients
- An explicit positivity preserving numerical scheme for CIR/CEV type delay models with jump
- A boundary preserving numerical scheme for the Wright-Fisher model
- A novel approach to construct numerical methods for stochastic differential equations
- Structure preserving stochastic integration schemes in interest rate derivative modeling
- Convergence of numerical methods for stochastic differential equations in mathematical finance
- Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Convergence rates of the Semi-Discrete method for stochastic differential equations
- Semi-discrete approximations for stochastic differential equations and applications
- 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
This page was built for publication: The semi-discrete method for the approximation of the solution of stochastic differential equations