45 citations · 161 across the 19 of their papers we have counts for
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A Comparison of Preconditioned Krylov Subspace Methods for Large-Scale Nonsymmetric Linear Systems
Aditi Ghai, Cao Lu, Xiangmin Jiao
Preconditioned Krylov subspace (KSP) methods are widely used for solving large-scale sparse linear systems arising from numerical solutions of partial differential equations (PDEs)…
AP-Cloud: Adaptive Particle-in-Cloud Method for Optimal Solutions to Vlasov-Poisson Equation
Xingyu Wang, Roman Samulyak, Xiangmin Jiao +1
We propose a new adaptive Particle-in-Cloud (AP-Cloud) method for obtaining optimal numerical solutions to the Vlasov-Poisson equation. Unlike the traditional particle-in-cell (PIC…
WLS-ENO: Weighted-Least-Squares Based Essentially Non-Oscillatory Schemes for Finite Volume Methods on Unstructured Meshes
Hongxu Liu, Xiangmin Jiao
ENO (Essentially Non-Oscillatory) and WENO (Weighted Essentially Non-Oscillatory) schemes are widely used high-order schemes for solving partial differential equations (PDEs), espe…
A Hybrid Method and Unified Analysis of Generalized Finite Differences and Lagrange Finite Elements
Rebecca Conley, Xiangmin Jiao, Tristan J. Delaney
Finite differences, finite elements, and their generalizations are widely used for solving partial differential equations, and their high-order variants have respective advantages…