Yang Yang

$Yang Yang$

Contact

yyang7@mtu.edu
906-487-3039
Fisher 308

Professor, Mathematical Sciences
Graduate Program Director

Biography

I was born and raised in Tianjin, China (a beautiful city 80 miles from Beijing). In 2005, I joined the Department of Modern Mechanics at University of Science and Technology of China. One year later, I transferred to the Math Department and studied pure math, especially analysis. After receiving my Bachelor's degree of Mathematics in 2009, I started my graduate studies at Brown University and worked with Professor Chi-Wang Shu on Numerical Analysis. My work mainly focused on high order numerical methods for time-dependent problems. It includes three parts: Approximations to delta-functions, Superconvergence of discontinuous Galerkin methods and Numerical cosmology. After obtaining my Ph.D. degree in 2013, I joined the Department of Mathematical Sciences at Michigan Technological University. In 2017, I was promoted to associate professor with tenure. In 2021, I was promoted to professor with tenure.

Links of Interest

Faculty Website

Google Scholar information

Specialties

Superconvergence of discontinuous Galerkin methods
Numerical cosmology
Single and multi-phase flows in (fractured) porous media
Discrete fracture model
Numerical methods for partial differential equations with blow-up solutions
Numerical simulations for gaseous detonation

Selected Recent Publications

Effect of dust on Lyman-alpha photon transfer in optically thick halo Read More
Analysis of optimal superconvergence of discontinuous Galerkin method for linear hyperbolic equations Read More
Discontinuous Galerkin method for hyperbolic equations involving $\delta$-singularities: negative-order norm error estimates and applications Read More
Angular distribution of Ly$\alpha$ resonant photons emergent from optically thick medium Read More
Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations Read More
A positivity-preserving semi-implicit discontinuous Galerkin scheme for solving extended magnetohydrodynamics equations Read More
Positivity-preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions Read More
Superconvergence of discontinuous Galerkin methods for two dimensional hyperbolic equations Read More
Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics Read More
Local discontinuous Galerkin method for incompressible miscible displacement problem in porous media Read More
Bound-preserving discontinuous Galerkin method for compressible miscible displacement problem in porous media Read More
Superconvergence of Discontinuous Galerkin method for nonlinear hyperbolic equations Read More
Local discontinuous Galerkin method for the Keller-Segel chemotaxis model Read More
Maximum-principle-preserving third-order local discontinuous Galerkin methods on overlapping meshes Read More
High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes Read More
High-order bound-preserving discontinuous Galerkin methods for stiff multispecies detonation Read More
High-Order bound-preserving discontinuous Galerkin methods for wormhole propagation on triangular meshes Read More
Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations Read More
Fourier analysis of local discontinuous Galerkin methods for linear parabolic equations on overlapping meshes Read More
High-order bound-preserving finite difference methods for miscible displacements in porous media Read More
Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension Read More
The hybrid dimensional representation of permeability tensor: A reinterpretation of the discrete fracture model and its extension on nonconforming meshes Read More
Energy preserving discontinuous Galerkin methods for the nonlinear Serre equations Read More
Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation Read More
An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics Read More
Conservative numerical methods for the reinterpreted discrete fracture model on non-conforming meshes and their applications in contaminant transportation in fractured porous media Read More
High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction Read More
A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media Read More
Bound-preserving discontinuous Galerkin methods with second-order implicit pressure explicit concentration time marching for compressible miscible displacements in porous media. Read More
Provable convergence of blow-up time of numerical approximations for a class of convection-diffusion equations. Read More
High-order bound-preserving discontinuous Galerkin methods for multicomponent chemically reacting flows. Read More
The hybrid-dimensional Darcy's law: a non-conforming reinterpreted discrete fracture model (RDFM) for single-phase flow in fractured media. Read More
Sign-preserving second-order IMPEC time discretization and its application in compressible miscible displacement with Darcy-Forchheimer models. Read More
A hybridizable discontinuous Galerkin method on unfitted meshes for single-phase Darcy flow in fractured porous media. Read More