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math-ph2022★ 6 cited
Algebraic Properties of Riemannian Manifolds
Youngjoo Chung, Chi-Ok Hwang, Hyun Seok Yang
Algebraic properties are explored for the curvature tensors of Riemannian manifolds, using the irreducible decomposition of curvature tensors. Our method provides a powerful tool t…
math-ph2000★ 17 cited
An Efficient Modified "Walk On Spheres" Algorithm for the Linearized Poisson-Boltzmann Equation
Chi-Ok Hwang, Michael Mascagni
A discrete random walk method on grids was proposed and used to solve the linearized Poisson-Boltzmann equation (LPBE) \cite{Rammile}. Here, we present a new and efficient grid-fre…