Applied Numerical Mathematics
Adaptive stepsize based on control theory for stochastic differential equations
Journal of Computational and Applied Mathematics
Structure preserving stochastic integration schemes in interest rate derivative modeling
Applied Numerical Mathematics
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
Split-step backward balanced Milstein methods for stiff stochastic systems
Applied Numerical Mathematics
The fully implicit stochastic-α method for stiff stochastic differential equations
Journal of Computational Physics
Developing Itô stochastic differential equation models for neuronal signal transduction pathways
Computational Biology and Chemistry
Split-step forward methods for stochastic differential equations
Journal of Computational and Applied Mathematics
The composite Milstein methods for the numerical solution of Ito stochastic differential equations
Journal of Computational and Applied Mathematics
Physically consistent simulation of mesoscale chemical kinetics: The non-negative FIS-α method
Journal of Computational Physics
Higher-order semi-implicit Taylor schemes for Itô stochastic differential equations
Journal of Computational and Applied Mathematics
A random map implementation of implicit filters
Journal of Computational Physics
Applied Stochastic Models in Business and Industry
Journal of Computational and Applied Mathematics
Asymptotic stability of balanced methods for stochastic jump-diffusion differential equations
Journal of Computational and Applied Mathematics
Strong first order S-ROCK methods for stochastic differential equations
Journal of Computational and Applied Mathematics
An Efficient Semi-Analytical Simulation for the Heston Model
Computational Economics
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This paper introduces some implicitness in stochastic terms of numerical methods for solving stiff stochastic differential equations and especially a class of fully implicit methods, the balanced methods. Their order of strong convergence is proved. Numerical experiments compare the stability properties of these schemes with explicit ones.