116 citations · 268 across the 5 of their papers we have counts for
5 papers
Constructing high-order discontinuity-capturing schemes with linear-weight polynomials and boundary variation diminishing algorithm
Xi Deng, Yuya Shimizu, Feng Xiao
In this study, a new framework of constructing very high order discontinuity-capturing schemes is proposed for finite volume method. These schemes, so-called $\mathrm{P}_{n}\mathrm…
A fifth-order shock capturing scheme with BVD algorithm
Xi Deng, Yuya Shimizu, Feng Xiao
A novel 5th-order shock capturing scheme is presented in this paper. The scheme, so-called P4-THINC-BVD (4th degree polynomial and THINC reconstruction based on BVD algorithm), is…
Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion
Yuya Shimizu, Yoshinobu Kuramashi
We have made a detailed study of the phase structure for lattice Schwinger model with one flavor of Wilson fermion on the plane. For numerical investigation, we develop a d…
Critical behavior of lattice Schwinger model with topological term at using Grassmann tensor renormalization group
Yuya Shimizu, Yoshinobu Kuramashi
Lattice regularized Schwinger model with a so-called term is studied by using the Grassmann tensor renormalization group. We perform the Lee-Yang and Fisher zero analyses in or…
Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model
Yuya Shimizu, Yoshinobu Kuramashi
We apply the Grassmann tensor renormalization group to the lattice regularized Schwinger model with one-flavor of the Wilson fermion. We study the phase diagram in the plan…