Le Liu
Results

Journal Article
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations
Communications in Computational Physics, Vol. 34 (2023), Iss. 4 : pp. 993–1042

Journal Article
Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System
Communications in Computational Physics, Vol. 27 (2020), Iss. 2 : pp. 480–502

Journal Article
Sparse Approximation of Data-Driven Polynomial Chaos Expansions: An Induced Sampling Approach
Communications in Mathematical Research , Vol. 36 (2020), Iss. 2 : pp. 128–153

Journal Article
Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations
Communications in Mathematical Research , Vol. 36 (2020), Iss. 3 : pp. 247–271

Journal Article
Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms
Communications in Computational Physics, Vol. 35 (2024), Iss. 2 : pp. 498–523

Journal Article
Boundedness and Convergence Analysis of a Pi-Sigma Neural Network Based on Online Gradient Method and Sparse Optimization
East Asian Journal on Applied Mathematics, Vol. 14 (2024), Iss. 4 : pp. 769–787

Journal Article
Maximum-Principle-Preserving High-Order Conservative Difference Schemes for Convection-Dominated Diffusion Equations
Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 4 : pp. 855–881