Yang Yang

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Assistant Professor, Mathematical Sciences

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.

Links of Interest

Areas of Expertise

  • Superconvergence of discontinuous Galerkin methods
  • Numerical cosmology
  • Numerical methods for two-phase flow in porous media
  • Numerical methods for partial differential equations with blow-up solutions

Recent Publications

  • Effect of dust on Lyman-alpha photon transfer in optically thick halo 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
  • Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics Read More
  • Local discontinuous Galerkin method for incompressible miscible displacement problem in porous media Read More
  • Local discontinuous Galerkin method for the Keller-Segel chemotaxis model Read More