More Models of Infection: It's Epidemic
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A fast solver for Fokker--Planck equation applied to viscoelastic flows calculations: 2D FENE model
Journal of Computational Physics
Proceedings of the conference on Design, Automation and Test in Europe - Volume 2
A Hidden Markov Model for Transcriptional Regulation in Single Cells
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Probabilistically induced domain decomposition methods for elliptic boundary-value problems
Journal of Computational Physics
SDELab: A package for solving stochastic differential equations in MATLAB
Journal of Computational and Applied Mathematics
Brief paper: Sliding mode control for Itô stochastic systems with Markovian switching
Automatica (Journal of IFAC)
A splitting-step algorithm for reflected stochastic differential equations in R+1
Computers & Mathematics with Applications
Three-stage stochastic Runge-Kutta methods for stochastic differential equations
Journal of Computational and Applied Mathematics
Chemical Master Equation and Langevin regimes for a gene transcription model
Theoretical Computer Science
Split-step backward balanced Milstein methods for stiff stochastic systems
Applied Numerical Mathematics
Interlaced Euler scheme for stiff systems of stochastic differential equations
Proceedings of the 2009 ACM symposium on Applied Computing
Journal of Computational and Applied Mathematics
An Ensemble Kalman-Particle Predictor-Corrector Filter for Non-Gaussian Data Assimilation
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
Dynamical analysis of bayesian inference models for the eriksen task
Neural Computation
Numerical realizations of solutions of the stochastic KdV equation
Mathematics and Computers in Simulation
Developing Itô stochastic differential equation models for neuronal signal transduction pathways
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L2-L∞control of nonlinear fuzzy itô stochastic delay systems via dynamic output feedback
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Fuzzy filter design for itô stochastic systems with application to sensor fault detection
IEEE Transactions on Fuzzy Systems
Split-step forward methods for stochastic differential equations
Journal of Computational and Applied Mathematics
Brief paper: SMC design for robust H∞ control of uncertain stochastic delay systems
Automatica (Journal of IFAC)
IEEE Transactions on Neural Networks
Chemical master equation and Langevin Regimes for a gene transcription model
CMSB'07 Proceedings of the 2007 international conference on Computational methods in systems biology
The Path-of-probability Algorithm for Steering and Feedback Control of Flexible Needles
International Journal of Robotics Research
Compensated stochastic theta methods for stochastic differential equations with jumps
Applied Numerical Mathematics
Qualitative analysis of a stochastic ratio-dependent predator-prey system
Journal of Computational and Applied Mathematics
IEEE Transactions on Neural Networks
Stabilization for T-S model based uncertain stochastic systems
Information Sciences: an International Journal
Robust filtering design for stochastic system with mode-dependent output quantization
IEEE Transactions on Signal Processing
Improved rectangular method on stochastic Volterra equations
Journal of Computational and Applied Mathematics
On the Existence and the Applications of Modified Equations for Stochastic Differential Equations
SIAM Journal on Scientific Computing
Discrete Gradient Approach to Stochastic Differential Equations with a Conserved Quantity
SIAM Journal on Numerical Analysis
Computers & Mathematics with Applications
On the well-posedness of the stochastic Allen-Cahn equation in two dimensions
Journal of Computational Physics
Regulatory network reconstruction using stochastic logical networks
CMSB'06 Proceedings of the 2006 international conference on Computational Methods in Systems Biology
Automatica (Journal of IFAC)
Delay-dependent stability analysis of numerical methods for stochastic delay differential equations
Journal of Computational and Applied Mathematics
Robust integral sliding mode control for uncertain stochastic systems with time-varying delay
Automatica (Journal of IFAC)
Predictor-corrector methods for a linear stochastic oscillator with additive noise
Mathematical and Computer Modelling: An International Journal
Asymptotic behavior of global positive solution to a stochastic SIR model
Mathematical and Computer Modelling: An International Journal
Spatiotemporal patterns in an excitable plankton system with lysogenic viral infection
Mathematical and Computer Modelling: An International Journal
Comparisons of chemical synapses and gap junctions in the stochastic dynamics of coupled neurons
LSMS'07 Proceedings of the 2007 international conference on Life System Modeling and Simulation
Effects of noise on models of spiny dendrites
Journal of Computational Neuroscience
Automatica (Journal of IFAC)
Multi-agent stochastic level set method in image segmentation
Computer Vision and Image Understanding
Stabilized multilevel Monte Carlo method for stiff stochastic differential equations
Journal of Computational Physics
Proceedings of the International Conference on Computer-Aided Design
An Efficient Semi-Analytical Simulation for the Heston Model
Computational Economics
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A practical and accessible introduction to numerical methods for stochastic differential equations is given. The reader is assumed to be familiar with Euler's method for deterministic differential equations and to have at least an intuitive feel for the concept of a random variable; however, no knowledge of advanced probability theory or stochastic processes is assumed. The article is built around $10$ MATLAB programs, and the topics covered include stochastic integration, the Euler--Maruyama method, Milstein's method, strong and weak convergence, linear stability, and the stochastic chain rule.