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Fingerprint The Fingerprint is created by mining the titles and abstracts of the person's research outputs and projects/funding awards to create an index of weighted terms from discipline-specific thesauri.

Boltzmann equation Engineering & Materials Science
preserving Physics & Astronomy
Transport Equation Mathematics
Contagion Mathematics
Shock Mathematics
Fokker-Planck Mathematics
Radiative transfer Engineering & Materials Science
Semiconductor materials Engineering & Materials Science

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Projects 2018 2019

Optimal Transport
Multiscale Methods
Kinetic Theory
Computational Methods

Research Output 2011 2018

An accurate front capturing scheme for tumor growth models with a free boundary limit

Liu, J. G., Tang, M., Wang, L. & Zhou, Z., Jul 1 2018, In : Journal of Computational Physics. 364, p. 73-94 22 p.

Research output: Contribution to journalArticle

free boundaries
Tumors
tumors
nonlinearity
propagation

A new numerical approach to inverse transport equation with error analysis

Li, Q., Shu, R. & Wang, L., Jan 1 2018, In : SIAM Journal on Numerical Analysis. 56, 6, p. 3358-3385 28 p.

Research output: Contribution to journalArticle

Radiative Transfer
Radiative transfer
Medical Imaging
Medical imaging
Constrained optimization
1 Citations

Crime modeling with truncated Lévy flights for residential burglary models

Pan, C., Li, B., Wang, C., Zhang, Y., Geldner, N., Wang, L. & Bertozzi, A. L., Aug 1 2018, In : Mathematical Models and Methods in Applied Sciences. 28, 9, p. 1857-1880 24 p.

Research output: Contribution to journalArticle

Lévy Flights
Crime
Continuum Model
Hot Spot
Statistical Model

Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and glimm front sampling for scalar conservation laws

Coquel, F., Jin, S., Liu, J. G. & Wang, L., Jan 1 2018, In : Mathematics of Computation. 87, 311, p. 1083-1126 44 p.

Research output: Contribution to journalArticle

Shock Capturing
Scalar Conservation Laws
Conservation
Entropy
Sampling
2 Citations

Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations

Liu, J. G., Wang, L. & Zhou, Z., Jan 1 2018, In : Mathematics of Computation. 87, 311, p. 1165-1189 25 p.

Research output: Contribution to journalArticle

Positivity
Symmetrization
Splitting Method
Exceed
Initial conditions