Lili Ju

Orcid: 0000-0002-6520-582X

According to our database1, Lili Ju authored at least 112 papers between 2002 and 2025.

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Bibliography

2025
Dynamically regularized Lagrange multiplier schemes with energy dissipation for the incompressible Navier-Stokes equations.
J. Comput. Phys., 2025

2024
Low Regularity Integrators for the Conservative Allen-Cahn Equation with a Nonlocal Constraint.
J. Sci. Comput., December, 2024

Transferable Neural Networks for Partial Differential Equations.
J. Sci. Comput., April, 2024

A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement.
J. Comput. Phys., March, 2024

A deep learning method for the dynamics of classic and conservative Allen-Cahn equations based on fully-discrete operators.
J. Comput. Phys., January, 2024

Energy-Dissipative Spectral Renormalization Exponential Integrator Method for Gradient Flow Problems.
SIAM J. Sci. Comput., 2024

A high-order multi-time-step scheme for bond-based peridynamics.
J. Comput. Appl. Math., 2024

An End-to-End Deep Learning Method for Solving Nonlocal Allen-Cahn and Cahn-Hilliard Phase-Field Models.
CoRR, 2024

Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems.
CoRR, 2024

EfficientGS: Streamlining Gaussian Splatting for Large-Scale High-Resolution Scene Representation.
CoRR, 2024

Gradient Preserving Operator Inference: Data-Driven Reduced-Order Models for Equations with Gradient Structure.
CoRR, 2024

A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization.
Comput. Math. Appl., 2024

2023
Second-Order Semi-Lagrangian Exponential Time Differencing Method with Enhanced Error Estimate for the Convective Allen-Cahn Equation.
J. Sci. Comput., October, 2023

Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations.
SIAM J. Sci. Comput., August, 2023

Level Set Learning with Pseudoreversible Neural Networks for Nonlinear Dimension Reduction in Function Approximation.
SIAM J. Sci. Comput., June, 2023

A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility.
Math. Comput., June, 2023

A One-Stage Domain Adaptation Network With Image Alignment for Unsupervised Nighttime Semantic Segmentation.
IEEE Trans. Pattern Anal. Mach. Intell., 2023

A Multifidelity Monte Carlo Method for Realistic Computational Budgets.
J. Sci. Comput., 2023

Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation.
J. Comput. Phys., 2023

A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility.
CoRR, 2023

Deep surrogate model for learning Green's function associated with linear reaction-diffusion operator.
CoRR, 2023

TransNet: Transferable Neural Networks for Partial Differential Equations.
CoRR, 2023

2022
Generalized SAV-Exponential Integrator Schemes for Allen-Cahn Type Gradient Flows.
SIAM J. Numer. Anal., August, 2022

Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen-Cahn Type Equations.
J. Sci. Comput., 2022

Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations.
J. Sci. Comput., 2022

Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: Algorithms and convergence analysis.
J. Comput. Phys., 2022

High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations.
J. Comput. Phys., 2022

Low regularity integrators for semilinear parabolic equations with maximum bound principles.
CoRR, 2022

Stabilized exponential time differencing schemes for the convective Allen-Cahn equation.
CoRR, 2022

Energetically Consistent Model Reduction for Metriplectic Systems.
CoRR, 2022

Learning Green’s Functions of Linear Reaction-Diffusion Equations with Application to Fast Numerical Solver.
Proceedings of the Mathematical and Scientific Machine Learning, 2022

SiamDoGe: Domain Generalizable Semantic Segmentation Using Siamese Network.
Proceedings of the Computer Vision - ECCV 2022, 2022

Is It Necessary to Transfer Temporal Knowledge for Domain Adaptive Video Semantic Segmentation?
Proceedings of the Computer Vision - ECCV 2022, 2022

Style Mixing and Patchwise Prototypical Matching for One-Shot Unsupervised Domain Adaptive Semantic Segmentation.
Proceedings of the Thirty-Sixth AAAI Conference on Artificial Intelligence, 2022

2021
Stabilized Integrating Factor Runge-Kutta Method and Unconditional Preservation of Maximum Bound Principle.
SIAM J. Sci. Comput., 2021

Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes.
SIAM Rev., 2021

Conservative numerical schemes with optimal dispersive wave relations: Part I. Derivation and analysis.
Numerische Mathematik, 2021

DeepFusion: A simple way to improve traditional multi-view stereo methods using deep learning.
Knowl. Based Syst., 2021

Unconditionally Maximum Bound Principle Preserving Linear Schemes for the Conservative Allen-Cahn Equation with Nonlocal Constraint.
J. Sci. Comput., 2021

Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations.
J. Comput. Phys., 2021

Level set learning with pseudo-reversible neural networks for nonlinear dimension reduction in function approximation.
CoRR, 2021

A Comparison of Neural Network Architectures for Data-Driven Reduced-Order Modeling.
CoRR, 2021

Unconditionally stable exponential time differencing schemes for the mass-conserving Allen-Cahn equation with nonlocal and local effects.
CoRR, 2021

Parallel Exponential Time Differencing Methods for Geophysical Flow Simulations.
CoRR, 2021

Learning Green's Functions of Linear Reaction-Diffusion Equations with Application to Fast Numerical Solver.
CoRR, 2021

Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations.
CoRR, 2021

Implicit Form Neural Network for Learning Scalar Hyperbolic Conservation Laws.
Proceedings of the Mathematical and Scientific Machine Learning, 2021

Learning Depth from Single Image Using Depth-Aware Convolution and Stereo Knowledge.
Proceedings of the 2021 IEEE International Conference on Multimedia and Expo, 2021

DANNet: A One-Stage Domain Adaptation Network for Unsupervised Nighttime Semantic Segmentation.
Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2021

Binaural Audio-Visual Localization.
Proceedings of the Thirty-Fifth AAAI Conference on Artificial Intelligence, 2021

2020
High order explicit local time stepping methods for hyperbolic conservation laws.
Math. Comput., 2020

Nonoverlapping Localized Exponential Time Differencing Methods for Diffusion Problems.
J. Sci. Comput., 2020

A space-time adaptive finite element method with exponential time integrator for the phase field model of pitting corrosion.
J. Comput. Phys., 2020

An efficient second-order linear scheme for the phase field model of corrosive dissolution.
J. Comput. Appl. Math., 2020

A diagonal sweeping domain decomposition method with trace transfer for the Helmholtz equation.
CoRR, 2020

A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation.
CoRR, 2020

A spectral collocation method for nonlocal diffusion equations with volume constrained boundary conditions.
Appl. Math. Comput., 2020

Mesh-Guided Multi-View Stereo With Pyramid Architecture.
Proceedings of the 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2020

Attention-Aware Multi-View Stereo.
Proceedings of the 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2020

SalSAC: A Video Saliency Prediction Model with Shuffled Attentions and Correlation-Based ConvLSTM.
Proceedings of the Thirty-Fourth AAAI Conference on Artificial Intelligence, 2020

2019
An Additive Overlapping Domain Decomposition Method for the Helmholtz Equation.
SIAM J. Sci. Comput., 2019

Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation.
SIAM J. Numer. Anal., 2019

A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems.
Math. Comput., 2019

A Stabilized Semi-Implicit Euler Gauge-Invariant Method for the Time-Dependent Ginzburg-Landau Equations.
J. Sci. Comput., 2019

Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems.
J. Sci. Comput., 2019

A fast compact time integrator method for a family of general order semilinear evolution equations.
J. Comput. Phys., 2019

Conservative explicit local time-stepping schemes for the shallow water equations.
J. Comput. Phys., 2019

A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions.
Appl. Math. Lett., 2019

Multi-Video Temporal Synchronization by Matching Pose Features of Shared Moving Subjects.
Proceedings of the 2019 IEEE/CVF International Conference on Computer Vision Workshops, 2019

Spatial Correspondence With Generative Adversarial Network: Learning Depth From Monocular Videos.
Proceedings of the 2019 IEEE/CVF International Conference on Computer Vision, 2019

Semantic Stereo Matching With Pyramid Cost Volumes.
Proceedings of the 2019 IEEE/CVF International Conference on Computer Vision, 2019

P-MVSNet: Learning Patch-Wise Matching Confidence Aggregation for Multi-View Stereo.
Proceedings of the 2019 IEEE/CVF International Conference on Computer Vision, 2019

2018
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection.
Math. Comput., 2018

Unconditionally Energy Stable Linear Schemes for the Diffuse Interface Model with Peng-Robinson Equation of State.
J. Sci. Comput., 2018

Fast spherical centroidal Voronoi mesh generation: A Lloyd-preconditioned LBFGS method in parallel.
J. Comput. Phys., 2018

An exponential time-integrator scheme for steady and unsteady inviscid flows.
J. Comput. Phys., 2018

Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation.
J. Comput. Phys., 2018

Interactive Binary Image Segmentation with Edge Preservation.
CoRR, 2018

A fast algorithm for solving the space-time fractional diffusion equation.
Comput. Math. Appl., 2018

2016
Fast High-Order Compact Exponential Time Differencing Runge-Kutta Methods for Second-Order Semilinear Parabolic Equations.
J. Sci. Comput., 2016

Quadrature rules for finite element approximations of 1D nonlocal problems.
J. Comput. Phys., 2016

Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models.
J. Comput. Phys., 2016

A fuzzy edge-weighted centroidal Voronoi tessellation model for image segmentation.
Comput. Math. Appl., 2016

Extreme-scale phase field simulations of coarsening dynamics on the sunway taihulight supercomputer.
Proceedings of the International Conference for High Performance Computing, 2016

2015
Multiscale Superpixels and Supervoxels Based on Hierarchical Edge-Weighted Centroidal Voronoi Tessellation.
IEEE Trans. Image Process., 2015

Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations.
J. Sci. Comput., 2015

2014
Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation.
J. Comput. Phys., 2014

Edge-Weighted Centroid Voronoi Tessellation with Propagation of Consistency Constraint for 3D Grain Segmentation in Microscopic Superalloy Images.
Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2014

2013
3D Superalloy Grain Segmentation Using a Multichannel Edge-Weighted Centroidal Voronoi Tessellation Algorithm.
IEEE Trans. Image Process., 2013

A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models.
Math. Comput., 2013

2012
Covolume-upwind finite volume approximations for linear elliptic partial differential equations.
J. Comput. Phys., 2012

Generalized edge-weighted centroidal Voronoi tessellations for geometry processing.
Comput. Math. Appl., 2012

Grain Segmentation of 3D Superalloy Images Using Multichannel EWCVT under Human Annotation Constraints.
Proceedings of the Computer Vision - ECCV 2012, 2012

2011
Image Segmentation Using Local Variation and Edge-Weighted Centroidal Voronoi Tessellations.
IEEE Trans. Image Process., 2011

A Multichannel Edge-Weighted Centroidal Voronoi Tessellation algorithm for 3D super-alloy image segmentation.
Proceedings of the 24th IEEE Conference on Computer Vision and Pattern Recognition, 2011

2010
A Stable Multistep Scheme for Solving Backward Stochastic Differential Equations.
SIAM J. Numer. Anal., 2010

A variational phase field method for curve smoothing.
J. Comput. Phys., 2010

2009
An Edge-Weighted Centroidal Voronoi Tessellation Model for Image Segmentation.
IEEE Trans. Image Process., 2009

Constrained CVT meshes and a comparison of triangular mesh generators.
Comput. Geom., 2009

3D open-surface shape correspondence for statistical shape modeling: Identifying topologically consistent landmarks.
Proceedings of the IEEE 12th International Conference on Computer Vision, ICCV 2009, Kyoto, Japan, September 27, 2009

2008
Nondegeneracy and Weak Global Convergence of the Lloyd Algorithm in R<sup>d</sup>.
SIAM J. Numer. Anal., 2008

2006
Adaptive Finite Element Methods for Elliptic PDEs Based on Conforming Centroidal Voronoi-Delaunay Triangulations.
SIAM J. Sci. Comput., 2006

Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations.
SIAM J. Numer. Anal., 2006

Centroidal Voronoi Tessellation Algorithms for Image Compression, Segmentation, and Multichannel Restoration.
J. Math. Imaging Vis., 2006

A numerical method for exact boundary controllability problems for the wave equation.
Comput. Math. Appl., 2006

2005
Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes.
SIAM J. Numer. Anal., 2005

Quantitative evaluation of three cortical surface flattening methods.
NeuroImage, 2005

Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations.
Math. Comput., 2005

2004
Cortical Surface Flattening Using Least Square Conformal Mapping with Minimal Metric Distortion.
Proceedings of the 2004 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2004

2003
Constrained Centroidal Voronoi Tessellations for Surfaces.
SIAM J. Sci. Comput., 2003

Comparing the performance of MPICH with Cray's MPI and with SGI's MPI.
Concurr. Comput. Pract. Exp., 2003

2002
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations.
Parallel Comput., 2002


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