Qinghai Zhang(张庆海)
Professor (Full)
Department of Mathematics
College of Science
Zhejiang University
Hangzhou  , Zhejiang
P. R. China


Email: qinghai@zju.edu.cn

Homepage: https://www.researchgate.net/profile/Qinghai_Zhang2

My research is primarily concerned with the computational mathematics of complex multiphase flows, such as free-surface flows, fluid-structure interaction, and biological flows.The distinguishing features of my research are its interdisciplinary nature, rigorous treatments of complex geometries,
 and highly accurate and efficient algorithms.


Research Interests
Computational Mathematics

Teaching
2016 Fall - Numerical Approximation.

Monday 13:15 - 14:00; 14:05 - 14:50; 14:55-15:40 @ Room 508 West #1 Building.

Prerequisite: (1) real analysis and (2) linear algebra and (3) programming experience of Matlab or C++.

Textbook: Numerical Analysis by W. Gautschi, 2nd Edition. ISBN: 978-0-8176-8258-3.

Description: This course concerns the foundation of computational mathematics with covered materials widely used in all disciplines of computational sciences. Topics include: Computer arithmetic, Solution of nonlinear equations,Approximating functions, Numerical differentiation and integration,Fast Fourier transformation.

This class will be taught in English.

Publications
[1] Qinghai Zhang(*), Fourth- and Higher-order Interface Tracking via Mapping and Adjusting Regular Semianalytic sets Represented by Cubic Splines, SIAM Journal on Scientific Computing, 40(6), 2018.(ZJU TOP SCI)
[2] Zhi Lin and Qinghai Zhang(*), High-order finite-volume solutions of the steady-state advection–diffusion equation with nonlinear Robin boundary conditions, Journal of Computational Physics, 345, 2017.(ZJU TOP SCI)
[3] Qinghai Zhang(*), HFES: a height function method with explicit input and signed output for high-order estimations of curvature and unit vectors of planar curves, SIAM Journal on Numerical Analysis, 55(2), 2017.(ZJU TOP SCI)
[4] Qinghai Zhang(*), GePUP: Generic projection and unconstrained PPE for fourth-order solutions of the incompressible Navier-Stokes equations with no-slip boundary conditions, Journal of Scientific Computing, 67(3), 2016.
[5] Qinghai Zhang(*) and Aaron Fogelson, MARS: An analytic framework of interface tracking via mapping and adjusting regular semialgebraic sets, SIAM Journal on Numerical Analysis, 54(2), 2016.(ZJU TOP SCI)
[6] Qinghai Zhang(*), On generalized donating regions: Classifying Lagrangian fluxing particles through a fixed curve in the plane, Journal of Mathematical Analysis and Applications, 424(2), 2015.
[7] C. Zhang, R. Guy, B. Mulloney, Q. Zhang, T. Lewis, The neural mechanism of optimal limb coordination in crustacean swimming, Proceedings of the National Academy of Sciences, 111(38), 2014.(ZJU TOP SCI)
[8] Qinghai Zhang(*), A fourth-order approximate projection method for the incompressible Navier-Stokes equations on locally-refined periodic domains, Applied Numerical Mathematics, 77(C), 2014.
[9] Qinghai Zhang(*) and Aaron Fogelson, Fourth-order interface tracking in two dimensions via an improved polygonal area mapping method, SIAM Journal on Scientific Computing, 36(5), 2014.(ZJU TOP SCI)
[10] Qinghai Zhang(*), Robert D. Guy, and Bobby Philip, A projection preconditioner for solving the implicit immersed boundary equations, Numerical Mathematics: Theory, Methods, and Appl., 7(4), 2014.
[11] Qinghai Zhang(*), On a family of unsplit advection algorithms for volume-of-fluid methods, SIAM Journal on Numerical Analysis, 51(5), 2013.(ZJU TOP SCI)
[12] Qinghai Zhang(*), Highly accurate Lagrangian flux calculation via algebraic quadratures on spline-approximated donating regions, Computer Methods in Applied Mechanics and Engineer, 264, 2013.(ZJU TOP SCI)
[13] Qinghai Zhang(*), On donating regions: Lagrangian flux through a fixed curve, SIAM Review, 55(3), 2013.(ZJU TOP SCI)
[14] Qinghai Zhang(*), Hans Johansen, Phillip Colella, A fourth-order accurate finite-volume method with structured adaptive mesh refinement for solving the advection-diffusion equation, SIAM Journal on Scientific Computing, 34(2), 2012.(ZJU TOP SCI)
[15] Qinghai Zhang(*), High-order, multi-dimensional, and conservative coarse-fine interpolation for adaptive mesh refinement, Computer Methods in Applied Mechanics and Engineer, 200(45-46), 2011.(ZJU TOP SCI)
[16] Qinghai Zhang(*) and Philip L.-F, Liu, Handling solid-fluid interfaces for viscous flows: explicit jump approximations vs. ghost cell approaches, Journal of Computational Physics, 229(11), 2010.(ZJU TOP SCI)
[17] Qinghai Zhang(*) and Philip L.-F, Liu, HyPAM : A hybrid continuum-particle model for incompressible free-surface flows, Journal of Computational Physics, 228(4), 2009.(ZJU TOP SCI)
[18] Qinghai Zhang and Philip L.-F, Liu(*), A numerical study of swash flows generated by bores, Coastal Engineering, 55(12), 2008.(ZJU TOP SCI)
[19] Qinghai Zhang(*) and Philip L.-F, Liu, A new interface tracking method : The polygonal area mapping method, Journal of Computational Physics, 227(8), 2008.(ZJU TOP SCI)