Peter H.C. Pang

Address:

School of Mathematical Sciences

University of Nottingham Ningbo China

199 Taikang East Road

Ningbo 315100

China

Email:

peter.pang@nottingham.edu.cn

I am assistant professor of applied mathematics at the University of Nottingham in Ningbo. 

Interests: stochastic partial differential equations, rough analysis, probability theory, dynamical systems. 

Preprints and papers:

1. 1. 1. 1. 1. F. Harang, C. Ling, and P.H.C. Pang. Weak existence for degenerate distribution dependent SDEs with multiplicative noise -- a pathwise regularization approach. arXiv:2509.03665 [math.PR] (2025), 1 -- 18. Submitted.

1. 1. 1. 1. 2. U.S. Fjordholm, K.H. Karlsen, and P.H.C. Pang.  Semi-discrete heat equations with variable coefficients and the parametrix method. IMA J. Numer. Anal. (2026), Paper drag004. 40pp. Published online. arXiv link

1. 1. 1. 1. 3. P.H.C. Pang. Convergence rate in the splitting-up method for rough differential equations. arXiv:2412.00432 [math.CA] (2024), 1--12. Submitted.

1. 1. 1. 1. 4. D. Alonso-Orán, P.H.C. Pang, H. Tang. Damping-diffusion-noise interactions in the stochastic Camassa--Holm equation. J. Lond. Math. Soc. (2026), Paper e70634. 44pp. Published online. arXiv link

1. 1. 1. 1. 5. K.H. Karlsen and P.H.C. Pang. Convergence of stochastic integrals with applications to transport equations and conservation laws with noise. arXiv:2404.16157 [math.PR], (2024), 1--31. Submitted.

1. 1. 1. 1. 6. P.H.C. Pang. The viscous variational wave equation with transport noise. Stoch. Partial Differ. Equ. Anal. Comput., (2026), 1--47. Published online. arXiv link

1. 1. 1. 1. 7. U.S. Fjordholm, K.H. Karlsen, and P.H.C. Pang. Convergent finite difference schemes for stochastic transport equations. SIAM J. Numer. Anal., 63(1) (2025), 149-192. arXiv link

1. 1. 1. 1. 8. P.H.C. Pang. Second order commutator estimates in renormalisation theory for SPDEs with gradient-type noise. Proceedings of the XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications. (HYP2022), SIMAI Springer Series, (2024), 331--340. arXiv link

1. 1. 1. 1. 9. L. Galimberti, H. Holden, K.H. Karlsen, and P.H.C. Pang. Global existence of dissipative solutions to the Camassa--Holm equation with transport noise. J. Differential Equations, 387 (2024), 1 -- 103. arXiv link

1. 1. 1. 1. 10. H. Holden, K.H. Karlsen, and P.H.C. Pang. Global well-posednes of the viscous stochastic Camassa--Holm equation with gradient noise. Discrete Contin. Dyn. Syst., 43(2) (2023), 568 -- 618. arXiv link

1. 1. 1. 1. 11. H. Holden, K.H. Karlsen, and P.H.C. Pang. Strong solutions of a stochsatic differential equation with irregular random drift. Stochastic Process. Appl., 150 (2022), 655 -- 677. arXiv link

1. 1. 1. 1. 12. H. Holden, K.H. Karlsen, and P.H.C. Pang. The Hunter--Saxton equation with noise. J. Differential Equations, 270 (2021), 725 -- 786. arXiv link

1. 1. 1. 1. 13. G.-Q. G. Chen, and P.H.C. Pang. Invariant measures for nonlinear conservation laws driven by stochastic forcing. Chinese Ann. Math. B, 40(6) (2019), 967 -- 1004. arXiv link

1. 1. 1. 1. 14. G.-Q. G. Chen, and P.H.C. Pang. Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing. J. Funct. Anal., 281 (2021), 109222. arXiv link

Notes:

• Scientific computation and numerical analysis (UoN China, Spring 2026)

  • • Lectures 2 - 6 (initial value problems for ODEs)

    • Lectures 7 - 10 (boundary value problems for ODEs)

    • Lectures 11 - 15 (finite difference schemes for PDEs)

    • Lectures 16 - 17 (orthogonal families of polynomials)

    • Lectures 18 - 20 (singular values of matrices)

• The stochastic compactness method in SPDEs, mini-course delivered at the Mittag-Leffler institute, 20th--24th November, 2023. (updated: 25th April, 2024.)

Coding things:  https://github.com/ptrhcpang