Shi Jin

Applied Mathematics · with Liu · 2001–2017

A researcher in the Science corpus: 8 papers; trusts 7 researchers and is trusted by 31 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 9 citations into it; #1,606 of 7,620 by trust here, #2,955 by citations
• Computational Mechanics — 8 citations into it; #936 of 10,001 by trust here, #3,029 by citations

Whom Shi Jin trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Pierre Degond
2. Dongbin Xiu
3. Tai-Ping Liu
4. Laurent Gosse
5. Min Tang
6. G. Em Karniadakis
7. Thierry Gallouët

Who trusts Shi Jin overall

1. Manuel Torrilhon
2. Alexander Kurganov
3. Benoit Perthame
4. Henning Struchtrup
5. Jiequan Li
6. Xiao-Jun Gu
7. Chiara Simeoni
8. Weizhu Bao
9. Wenming Zhang
10. Emmanuel Audusse

Papers from Shi Jin's perspective

Ordered by how strongly the researchers Shi Jin trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations (SIAM Journal on Scientific Computing)
2. Kinetic Theory and Fluid Dynamics
3. Asymptotic L1-decay of solutions of the porous medium equation to self-similarity
4. Some approximate Godunov schemes to compute shallow-water equations with topography
5. Boltzmann Equation: Micro-Macro Decompositions and Positivity of Shock Profiles
6. Kinetic equations and asympotic theory
7. All speed scheme for the low Mach number limit of the isentropic Euler equations
8. An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
9. Linear and nonlinear waves (Scholarpedia)
10. Regression Shrinkage and Selection via the Lasso

Their papers

• On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime (2002) — 456 citations
• A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources (2009) — 364 citations
• Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method (2017) — 49 citations
• An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations (2012) — 153 citations
• Hamiltonian-Preserving Schemes for the Liouville Equation with Discontinuous Potentials (2005) — 68 citations
• A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDE's and Hamilton-Jacobi equations (2003) — 81 citations
• Regularization of the Burnett Equations via Relaxation (2001) — 137 citations
• A steady-state capturing method for hyperbolic systems with geometrical source terms (2001) — 211 citations