Density Estimation-Based Stein Variational Gradient Descent.

EvalRound+ Bootstrapping and its Rigorous Analysis for CKKS Scheme.

A super-convergence analysis of the Poisson solver with Octree grids and irregular domains.

Super-convergence analysis on two symmetric Poisson solvers in octree grids.

EvalRound Algorithm in CKKS Bootstrapping.

Optimal preconditioners on solving the Poisson equation with Neumann boundary conditions.

Accelerating Fully Homomorphic Encryption Through Architecture-Centric Analysis and Optimization.

HEAAN Demystified: Accelerating Fully Homomorphic Encryption Through Architecture-centric Analysis and Optimization.

A semi-implicit and unconditionally stable approximation of the surface tension in two-phase fluids.

Mathematical Analysis on Information-Theoretic Metric Learning With Application to Supervised Learning.

A Stable and Convergent Hodge Decomposition Method for Fluid-Solid Interaction.

Convergence Analysis in the Maximum Norm of the Numerical Gradient of the Shortley-Weller Method.

An efficient MILU preconditioning for solving the 2D Poisson equation with Neumann boundary condition.

An energy-stable method for solving the incompressible Navier-Stokes equations with non-slip boundary condition.

Comparison of eigenvalue ratios in artificial boundary perturbation and Jacobi preconditioning for solving Poisson equation.

An Experiment of the Malkus-Lorenz Waterwheel and Its Measurement by Image Processing.

On Solving the Singular System Arisen from Poisson Equation with Neumann Boundary Condition.

Convergence Analysis of the Standard Central Finite Difference Method for Poisson Equation.

Analyses on the finite difference method by Gibou et al. for Poisson equation.

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries.

A parallel fast sweeping method for the Eikonal equation.

On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains.

Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions.

On reinitializing level set functions.

Guidelines for Poisson Solvers on Irregular Domains with Dirichlet Boundary Conditions Using the Ghost Fluid Method.

An efficient fluid-solid coupling algorithm for single-phase flows.

A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate.

Second-Order Accurate Computation of Curvatures in a Level Set Framework Using Novel High-Order Reinitialization Schemes.

Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions.

A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids.

A second order accurate level set method on non-graded adaptive cartesian grids.

Geometric integration over irregular domains with application to level-set methods.

A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids.

A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids.