4 papers · 1 filter
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…
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…
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…