# Publications

### Research Profiles

ResearchGate Profile

### Publications

##### 2019

Dong, L.J. and , van der Hoek, J. “An explicit numerical algorithm to the solution of Volterra integral equation of the second kind”, ArXiv Preprint

Dong, L.J., “Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise”, in Bulletin of the Australian Mathematical Society 1-2; DOI: 10.1017/S0004972718001351

##### 2018

Dong, L.J., “Strong solutions for the Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise”, Journal of Mathematical Analysis and Applications; 489 (2)

Dong, L.J., “Random Attractors for Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise”, Discrete & Continuous Dynamical Systems - B

Dong, L.J., “Invariant Measures for the Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise”, ArXiv Preprint

“Stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise”, PhD thesis, The University of Sydney

PhD Thesis download link

##### 2011

Dong, L.J., “The pricing of VWAP Options under Lévy process framework”, Honour Thesis, School of Mathematics and Physical Sciences, The University of Technology Sydney

Dong, L.J., “The pricing of VWAP Options under Lévy process framework”, Honour Presentation, School of Mathematics and Physical Sciences, The University of Technology Sydney

### Unpublished

Dong, L.J. and , van der Hoek, J. “Functional Analysis and Distribution Theory: From Quantum Mechanic to Machine Learning”, 2019