182 citations · 215 across the 14 of their papers we have counts for
14 papers
Energy-superconvergent Explicit Runge--Kutta Time Discretizations
Jinjie Liu, Moysey Brio
This paper investigates the energy conservation properties of explicit Runge--Kutta (RK) time discretizations for autonomous skew-symmetric systems. For linear problems, we present…
Copositivity criteria of a class of fourth order 3-dimensional symmetric tensors
Yisheng Song, Jinjie Liu
In this paper, we mainly dicuss the non-negativity conditions for quartic homogeneous polynomials with 3 variables, which is the analytic conditions of copositivity of a class of 4…
ST-SVD Factorization and s-Diagonal Tensors
Chen Ling, Jinjie Liu, Chen Ouyang +1
A third order real tensor is mapped to a special f-diagonal tensor by going through Discrete Fourier Transform (DFT), standard matrix SVD and inverse DFT. We call such an f-diagona…
An Orthogonal Equivalence Theorem for Third Order Tensors
Liqun Qi, Chen Ling, Jinejie Liu +1
In 2011, Kilmer and Martin proposed tensor singular value decomposition (T-SVD) for third order tensors. Since then, T-SVD has applications in low rank tensor approximation, tensor…
Scattering of a short electromagnetic pulse from a Lorentz-Duffing film: theoretical and numerical analysis
Moysey Brio, Jean-Guy Caputo, Kyle Gwirtz +2
We combine scattering theory, Fourier, traveling wave and asymptotic analyses together with numerical simulations to present interesting and practically useful properties of femtos…
An Irreducible Function Basis of Isotropic Invariants of A Third Order Three-Dimensional Symmetric Tensor
Zhongming Chen, Jinjie Liu, Liqun Qi +2
In this paper, we present an eleven invariant isotropic irreducible function basis of a third order three-dimensional symmetric tensor. This irreducible function basis is a proper…
Isotropic Polynomial Invariants of the Hall Tensor
Jinjie Liu, Weiyang Ding, Liqun Qi +1
The Hall tensor emerges from the study of the Hall effect, an important magnetic effect observed in electric conductors and semiconductors. The Hall tensor is third order and three…
Elasticity -tensors and the Strong Ellipticity Condition
Weiyang Ding, Jinjie Liu, Liqun Qi +1
In this paper, we establish two sufficient conditions for the strong ellipticity of any fourth-order elasticity tensor and investigate a class of tensors satisfying the strong elli…
A New Class of Positive Semi-definite Tensors
Yi Xu, Jinjie Liu, Liqun Qi
In this paper, a new class of positive semi-definite tensors, the MO tensor, is introduced. It is inspired by the structure of Moler matrix, a class of test matrices. Then we focus…
Modified Iterated Crank-Nicolson Method with Improved Accuracy
Qiqi Tran, Jinjie Liu
The iterated Crank-Nicolson (ICN) method is a successful numerical algorithm in numerical relativity for solving partial differential equations. The -ICN method is the extension…
Finite-Difference Time-Domain simulation of spacetime cloak
Jason Cornelius, Jinjie Liu, Moysey Brio
In this work, we present a numerical method that remedies the instabilities of the conventional FDTD approach for solving Maxwell's equations in a space-time dependent magneto-elec…
General Properties of Two-dimensional Conformal Transformation in Electrostatics
Yong Zeng, Jinjie Liu, Douglas H. Werner
Electrostatic properties of two-dimensional nanosystems can be described by their geometry resonances. In this paper we prove that these modes as well as the corresponding eigenval…
A classical theory for second-harmonic generation from metallic nanoparticles
Yong Zeng, Walter Hoyer, Jinjie Liu +2
In this article, we develop a classical electrodynamic theory to study the optical nonlinearities of metallic nanoparticles. The quasi-free electrons inside the metal are approxima…
Classical theory of second-harmonic generation from magnetic metamaterials
Yong Zeng, Walter Hoyer, Jinjie Liu +2
Strong second-harmonic generation has recently been experimentally observed from metamaterials consisting of periodic arrays of metal split ring resonators with an effective negati…