Lili Ju

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All published works
Action Title Year Authors
+ PDF Chat Data-Driven Reduced-Order Models for Port-Hamiltonian Systems with Operator Inference 2025 Yuwei Geng
Lili Ju
Boris Kramer
Zhu Wang
+ PDF Chat Energy-Dissipative Spectral Renormalization Exponential Integrator Method for Gradient Flow Problems 2024 Dianming Hou
Lili Ju
Zhonghua Qiao
+ Dynamically regularized Lagrange multiplier schemes with energy dissipation for the incompressible Navier-Stokes equations 2024 Cao-Kha Doan
Thi‐Thao‐Phuong Hoang
Lili Ju
Rihui Lan
+ Low Regularity Integrators for the Conservative Allen–Cahn Equation with a Nonlocal Constraint 2024 Cao-Kha Doan
Thi‐Thao‐Phuong Hoang
Lili Ju
+ PDF Chat A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization 2024 Hao Tian
Junke Lu
Lili Ju
+ PDF Chat Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems 2024 Qiang Du
Lili Ju
Jianfang Lu
Xiaochuan Tian
+ Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems 2024 Qiang Du
Lili Ju
Jianfang Lu
Xiaochuan Tian
+ A parareal exponential integrator finite element method for semilinear parabolic equations 2024 Jianguo Huang
Lili Ju
Yuejin Xu
+ PDF Chat Gradient preserving Operator Inference: Data-driven reduced-order models for equations with gradient structure 2024 Yuwei Geng
Jasdeep Singhï»ż
Lili Ju
Boris KrÀmer
Zhu Wang
+ PDF Chat A high-order multi-time-step scheme for bond-based peridynamics 2024 Chenguang Liu
Jie Sun
Hao Tian
Wai Sun Don
Lili Ju
+ PDF Chat EfficientGS: Streamlining Gaussian Splatting for Large-Scale High-Resolution Scene Representation 2024 Wenkai Liu
Tao Guan
Bin Zhu
Lili Ju
Zikai Song
Dan Li
Yuesong Wang
Wei Yang
+ Transferable Neural Networks for Partial Differential Equations 2024 Zezhong Zhang
Feng Bao
Lili Ju
Guannan Zhang
+ A high-order multi-time-step scheme for bond-based peridynamics 2024 Chenguang Liu
Jie Sun
Hao Tian
Wai Sun Don
Lili Ju
+ A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization 2024 Lili Ju
Tian Hao
Junke Lu
+ Gradient Preserving Operator Inference: Data-Driven Reduced-Order Models for Equations with Gradient Structure 2024 Yuwei Geng
Jasdeep Singhï»ż
Lili Ju
Boris KrÀmer
Zhu Wang
+ Dynamically Regularized Lagrange Multiplier Schemes with Energy Dissipation for the Incompressible Navier-Stokes Equations 2024 Cao-Kha Doan
Thi Thao Phuong Hoang
Lili Ju
Rihui Lan
+ Second-Order Semi-Lagrangian Exponential Time Differencing Method with Enhanced Error Estimate for the Convective Allen–Cahn Equation 2023 Jingwei Li
Rihui Lan
Yongyong Cai
Lili Ju
Xiaoqiang Wang
+ PDF Chat Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations 2023 Jianguo Huang
Lili Ju
Yuejin Xu
+ PDF Chat GLCC: A General Framework for Graph-Level Clustering 2023 Lili Ju
Yiyang Gu
Binqi Chen
Gongbo Sun
Yifang Qin
Xingyuming Liu
Xiao Luo
Ming Zhang
+ PDF Chat Level Set Learning with Pseudoreversible Neural Networks for Nonlinear Dimension Reduction in Function Approximation 2023 Yuankai Teng
Zhu Wang
Lili Ju
Anthony Gruber
Guannan Zhang
+ A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations 2023 Rihui Lan
Lili Ju
Zhu Wang null
Max Gunzburger
+ Fully discrete error analysis of first‐order low regularity integrators for the Allen‐Cahn equation 2023 Cao‐Kha Doan
Thi‐Thao‐Phuong Hoang
Lili Ju
+ A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility 2023 Dianming Hou
Lili Ju
Zhonghua Qiao
+ PDF Chat Low regularity integrators for semilinear parabolic equations with maximum bound principles 2023 Cao‐Kha Doan
Thi‐Thao‐Phuong Hoang
Lili Ju
Katharina Schratz
+ TransNet: Transferable Neural Networks for Partial Differential Equations 2023 Zezhong Zhang
Feng Bao
Lili Ju
Guannan Zhang
+ Robust Dancer: Long-term 3D Dance Synthesis Using Unpaired Data 2023 Bin Feng
Tenglong Ao
Zequn Liu
Lili Ju
Libin Liu
Ming Zhang
+ Learning Graph ODE for Continuous-Time Sequential Recommendation 2023 Yifang Qin
Lili Ju
Hongjun Wu
Xiao Luo
Ming Zhang
+ TGNN: A Joint Semi-supervised Framework for Graph-level Classification 2023 Lili Ju
Xiao Luo
Meng Qu
Yifan Wang
Chong Chen
Minghua Deng
Xian–Sheng Hua
Ming Zhang
+ Learning on Graphs under Label Noise 2023 Jingyang Yuan
Xiao Luo
Yifang Qin
Yusheng Zhao
Lili Ju
Ming Zhang
+ FIMO: A Challenge Formal Dataset for Automated Theorem Proving 2023 C. Liu
Jianhao Shen
Huajian Xin
Zheng‐Ying Liu
Ye Yuan
Haiming Wang
Lili Ju
Chuanyang Zheng
Yichun Yin
Lin Li
+ Redundancy-Free Self-Supervised Relational Learning for Graph Clustering 2023 Siyu Yi
Lili Ju
Yifang Qin
Xiao Luo
Luchen Liu
Yongdao Zhou
Ming Zhang
+ Energy-dissipative spectral renormalization exponential integrator method for gradient flow problems 2023 Dianming Hou
Lili Ju
Zhonghua Qiao
+ Deep surrogate model for learning Green's function associated with linear reaction-diffusion operator 2023 Junqing Ji
Lili Ju
Xiaoping Zhang
+ A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility 2023 Dianming Hou
Zhonghua Qiao
Lili Ju
+ PDF Chat Stabilized exponential time differencing schemes for the convective Allen–Cahn equation 2022 Yongyong Cai
Lili Ju
Rihui Lan
Jingwei Li
+ PDF Chat Energetically consistent model reduction for metriplectic systems 2022 Anthony Gruber
Max Gunzburger
Lili Ju
Zhu Wang
+ PDF Chat A Multifidelity Monte Carlo Method for Realistic Computational Budgets 2022 Anthony Gruber
Max Gunzburger
Lili Ju
Zhu Wang
+ PDF Chat Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation 2022 Rihui Lan
Jingwei Li
Yongyong Cai
Lili Ju
+ PDF Chat Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows 2022 Lili Ju
Xiao Li
Zhonghua Qiao
+ PDF Chat Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations 2022 Qingshan Chen
Lili Ju
Roger TĂ©mam
+ PDF Chat Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen–Cahn Type Equations 2022 Lili Ju
Xiao Li
Zhonghua Qiao
+ PDF Chat Style Mixing and Patchwise Prototypical Matching for One-Shot Unsupervised Domain Adaptive Semantic Segmentation 2022 Xinyi Wu
Zhenyao Wu
Yuhang Lu
Lili Ju
Song Wang
+ PDF Chat A comparison of neural network architectures for data-driven reduced-order modeling 2022 Anthony Gruber
Max Gunzburger
Lili Ju
Zhu Wang
+ PDF Chat High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations 2022 Rihui Lan
Lili Ju
Zhu Wang
Max Gunzburger
Philip W. Jones
+ PDF Chat Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: Algorithms and convergence analysis 2022 Wei Leng
Lili Ju
+ PDF Chat Issue Information 2022 Clayton Webster
George F. Pinder
J. R. Whiteman
Ismael Herrera
Marta D’Elia
Lili Ju
Guannan Zhang
Muhammad Hamid
Muhammad Usman
Wei Wang
+ Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations 2022 Lili Ju
Xiao Li
Zhonghua Qiao
+ Energetically Consistent Model Reduction for Metriplectic Systems 2022 Anthony Gruber
Max Gunzburger
Lili Ju
Zhu Wang
+ A Multifidelity Monte Carlo Method for Realistic Computational Budgets 2022 Anthony Gruber
Max Gunzburger
Lili Ju
Zhu Wang
+ Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations 2022 Jianguo Huang
Lili Ju
Yuejin Xu
+ Kernel-based Substructure Exploration for Next POI Recommendation 2022 Lili Ju
Yifang Qin
Ziyue Qiao
Xiao Luo
Yifan Wang
Yanjie Fu
Ming Zhang
+ Stabilized exponential time differencing schemes for the convective Allen-Cahn equation 2022 Yongyong Cai
Lili Ju
Rihui Lan
Jingwei Li
+ DisenPOI: Disentangling Sequential and Geographical Influence for Point-of-Interest Recommendation 2022 Yifang Qin
Yifan Wang
Fang Sun
Lili Ju
Xuyang Hou
Zhe Wang
Jia Cheng
Jun Lei
Ming Zhang
+ A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility 2022 Dianming Hou
Lili Ju
Zhonghua Qiao
+ Low regularity integrators for semilinear parabolic equations with maximum bound principles 2022 Cao-Kha Doan
Thi‐Thao‐Phuong Hoang
Lili Ju
Katharina Schratz
+ GLCC: A General Framework for Graph-Level Clustering 2022 Lili Ju
Yiyang Gu
Binqi Chen
Gongbo Sun
Yifang Qin
Xingyuming Liu
Xiao Luo
Ming Zhang
+ Generalized SAV-exponential integrator schemes for Allen-Cahn type gradient flows 2022 Lili Ju
Xiao Li
Zhonghua Qiao
+ PDF Chat A Note on Comparison of F-measures 2021 Lili Ju
Wenxin Jiang
+ PDF Chat Level set learning with pseudo-reversible neural networks for nonlinear dimension reduction in function approximation 2021 Yuankai Teng
Zhu Wang
Lili Ju
Anthony Gruber
Guannan Zhang
+ PDF Chat Parallel exponential time differencing methods for geophysical flow simulations 2021 Rihui Lan
Wei Leng
Zhu Wang
Lili Ju
Max Gunzburger
+ PDF Chat Unconditionally stable exponential time differencing schemes for the mass‐conserving <scp>Allen<b>–</b>Cahn</scp> equation with nonlocal and local effects 2021 Kun Jiang
Lili Ju
Jingwei Li
Xiao Li
+ PDF Chat Unconditionally stable exponential time differencing schemes for the mass-conserving Allen-Cahn equation with nonlocal and local effects 2021 Kun Jiang
Lili Ju
Jingwei Li
Xiao Li
+ PDF Chat DANNet: A One-Stage Domain Adaptation Network for Unsupervised Nighttime Semantic Segmentation 2021 Xinyi Wu
Zhenyao Wu
Hao Guo
Lili Ju
Song Wang
+ Parallel Exponential Time Differencing Methods for Geophysical Flow Simulations 2021 Rihui Lan
Wei Leng
Zhu Wang
Lili Ju
Max Gunzburger
+ Unconditionally Maximum Bound Principle Preserving Linear Schemes for the Conservative Allen–Cahn Equation with Nonlocal Constraint 2021 Jingwei Li
Lili Ju
Yongyong Cai
Xinlong Feng
+ Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations 2021 Lili Ju
Xiao Li
Zhonghua Qiao
Jiang Yang
+ DANNet: A One-Stage Domain Adaptation Network for Unsupervised Nighttime Semantic Segmentation 2021 Xinyi Wu
Zhenyao Wu
Hao Guo
Lili Ju
Song Wang
+ Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle 2021 Jingwei Li
Xiao Li
Lili Ju
Xinlong Feng
+ Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations 2021 Anthony Gruber
Max Gunzburger
Lili Ju
Yuankai Teng
Zhu Wang
+ Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes 2021 Qiang Du
Lili Ju
Xiao Li
Zhonghua Qiao
+ PDF Chat Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle 2021 Jingwei Li
Xiao Li
Lili Ju
Xinlong Feng
+ Learning Green's Functions of Linear Reaction-Diffusion Equations with Application to Fast Numerical Solver 2021 Yuankai Teng
Xiaoping Zhang
Zhu Wang
Lili Ju
+ Unconditionally stable exponential time differencing schemes for the mass-conserving Allen-Cahn equation with nonlocal and local effects 2021 Kun Jiang
Lili Ju
Jingwei Li
Xiao Li
+ Level set learning with pseudo-reversible neural networks for nonlinear dimension reduction in function approximation 2021 Yuankai Teng
Zhu Wang
Lili Ju
Anthony Gruber
Guannan Zhang
+ Style Mixing and Patchwise Prototypical Matching for One-Shot Unsupervised Domain Adaptive Semantic Segmentation 2021 Xinyi Wu
Zhenyao Wu
Yuhang Lu
Lili Ju
Song Wang
+ A Note on Comparison of F-measures 2021 Lili Ju
Wenxin Jiang
+ PDF Chat A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation 2020 Lili Ju
+ Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations 2020 Xiao Li
Lili Ju
Thi‐Thao‐Phuong Hoang
+ Nonoverlapping Localized Exponential Time Differencing Methods for Diffusion Problems 2020 Thi‐Thao‐Phuong Hoang
Lili Ju
Zhu Wang
+ Adaptive Exponential Time Integration of the Navier-Stokes Equations 2020 Shujie Li
Lili Ju
Hang Si
+ A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation 2020 Wei Leng
Lili Ju
+ PDF Chat Numerical investigation of ensemble methods with block iterative solvers for evolution problems 2020 Lili Ju
Wei Leng
Zhu Wang
Shuai Yuan
+ Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes 2020 Qiang Du
Lili Ju
Xiao Li
Zhonghua Qiao
+ Trace Transfer-based Diagonal Sweeping Domain Decomposition Method for the Helmholtz Equation: Algorithms and Convergence Analysis 2020 Wei Leng
Lili Ju
+ Conservative numerical schemes with optimal dispersive wave relations -- Part II. Numerical evaluations 2020 Qingshan Chen
Lili Ju
Roger TĂ©mam
+ A spectral collocation method for nonlocal diffusion equations with volume constrained boundary conditions 2019 Hao Tian
Jing Zhang
Lili Ju
+ PDF Chat High order explicit local time stepping methods for hyperbolic conservation laws 2019 Thi‐Thao‐Phuong Hoang
Lili Ju
Wei Leng
Zhu Wang
+ PDF Chat An efficient second-order linear scheme for the phase field model of corrosive dissolution 2019 Huadong Gao
Lili Ju
Ravindra Duddu
Hongwei Li
+ A Discontinuous Galerkin Method with Penalty for One-Dimensional Nonlocal Diffusion Problems 2019 Qiang Du
Lili Ju
Jianfang Lu
Xiaochuan Tian
+ PDF Chat A fast compact time integrator method for a family of general order semilinear evolution equations 2019 Jianguo Huang
Lili Ju
Bo Wu
+ A Stabilized Semi-Implicit Euler Gauge-Invariant Method for the Time-Dependent Ginzburg–Landau Equations 2019 Huadong Gao
Lili Ju
Wen Xie
+ PDF Chat A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions 2019 Jianguo Huang
Lili Ju
Bo Wu
+ PDF Chat Conservative explicit local time-stepping schemes for the shallow water equations 2019 Thi‐Thao‐Phuong Hoang
Wei Leng
Lili Ju
Zhu Wang
Konstantin Pieper
+ Exponential Time-Marching method for the Unsteady Navier-Stokes Equations 2019 Shujie Li
Lili Ju
+ PDF Chat An Additive Overlapping Domain Decomposition Method for the Helmholtz Equation 2019 Wei Leng
Lili Ju
+ PDF Chat Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation 2019 Qiang Du
Lili Ju
Xiao Li
Zhonghua Qiao
+ High Order Explicit Local Time-Stepping Methods For Hyperbolic Conservation Laws 2019 Thi‐Thao‐Phuong Hoang
Lili Ju
Wei Leng
Zhu Wang
+ Conservative numerical schemes with optimal dispersive wave relations -- Part I. Derivations and analyses 2019 Qingshan Chen
Lili Ju
Roger TĂ©mam
+ Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation 2019 Qiang Du
Lili Ju
Xiao Li
Zhonghua Qiao
+ Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems 2018 Qiang Du
Lili Ju
Jianfang Lu
+ PDF Chat Fast spherical centroidal Voronoi mesh generation: A Lloyd-preconditioned LBFGS method in parallel 2018 Huanhuan Yang
Max Gunzburger
Lili Ju
+ PDF Chat An exponential time-integrator scheme for steady and unsteady inviscid flows 2018 Shujie Li
Li‐Shi Luo
Z.J. Wang
Lili Ju
+ PDF Chat Conservative finite‐volume schemes for the quasi‐geostrophic equation on coastal‐conforming unstructured primal–dual meshes 2018 Qingshan Chen
Lili Ju
+ Stabilized linear semi-implicit schemes for the nonlocal Cahn–Hilliard equation 2018 Qiang Du
Lili Ju
Li Xiao
Zhonghua Qiao
+ Fast Time Integration of Navier-Stokes Equations with an Exponential-Integrator Scheme 2018 Shujie Li
Z.J. Wang
Lili Ju
Li‐Shi Luo
+ Interactive Binary Image Segmentation with Edge Preservation 2018 Jianfeng Zhang
Liezhuo Zhang
Yuankai Teng
Xiao–Ping Zhang
Song Wang
Lili Ju
+ Overlapping localized exponential time differencing methods for diffusion problems 2018 Thi‐Thao‐Phuong Hoang
Lili Ju
Zhu Wang
+ PDF Chat An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems 2017 Xiao-Ping Zhang
Jiming Wu
Lili Ju
+ A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems 2017 Qiang Du
Lili Ju
Jianfang Lu
+ Solving the quasi-geostrophic equation on unstructured coastal-conforming meshes 2017 Qingshan Chen
Lili Ju
+ Exponential Time Differencing Gauge Method for Incompressible Viscous Flows 2017 Lili Ju
Zhu Wang
+ A fast algorithm for solving the space–time fractional diffusion equation 2017 Siwei Duo
Lili Ju
Yanzhi Zhang
+ PDF Chat A conservative nonlocal convection–diffusion model and asymptotically compatible finite difference discretization 2017 Hao Tian
Lili Ju
Qiang Du
+ PDF Chat Linear and unconditionally energy stable schemes for the binary fluid–surfactant phase field model 2017 Xiaofeng Yang
Lili Ju
+ Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection 2017 Lili Ju
Li Xiao
Zhonghua Qiao
Hui Zhang
+ Explicit Large Time Stepping with A Second-Order Exponential Time Integrator Scheme for Unsteady and Steady Flows 2017 Shujie Li
Z.J. Wang
Lili Ju
Li–Shi Luo
+ Overlapping Localized Exponential Time Differencing Methods for Diffusion Problems 2017 Thi‐Thao‐Phuong Hoang
Lili Ju
Zhu Wang
+ A Multistep Scheme for Decoupled Forward-Backward Stochastic Differential Equations 2016 Weidong Zhao
Wei Zhang
Lili Ju
+ PDF Chat Quadrature rules for finite element approximations of 1D nonlocal problems 2016 Xiao-Ping Zhang
Max Gunzburger
Lili Ju
+ PDF Chat Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems 2015 Xiao-Ping Zhang
Max Gunzburger
Lili Ju
+ Fast High-Order Compact Exponential Time Differencing Runge–Kutta Methods for Second-Order Semilinear Parabolic Equations 2015 Liyong Zhu
Lili Ju
Weidong Zhao
+ An Overlapping Domain Decomposition Preconditioner for the Helmholtz equation 2015 Wei Leng
Lili Ju
+ Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations 2014 Lili Ju
Jian Zhang
Liyong Zhu
Qiang Du
+ PDF Chat Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations 2014 Lili Ju
Xinfeng Liu
Wei Leng
+ PDF Chat Advances in Studies and Applications of Centroidal Voronoi Tessellations 2010 Qiang Du
Max Gunzburger
Lili Ju
+ PDF Chat 3D open-surface shape correspondence for statistical shape modeling: Identifying topologically consistent landmarks 2009 Pahal Dalal
Lili Ju
Mike J. McLaughlin
Xiangrong Zhou
Hiroshi Fujita
Song Wang
+ PDF Chat Adaptive anisotropic meshing for steady convection-dominated problems 2009 Hoa Nguyen
Max Gunzburger
Lili Ju
John Burkardt
+ Analysis of a mixed finite-volume discretization of fourth-order equations on general surfaces 2008 Qiang Du
Lili Ju
Lixin Tian
+ Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations 2006 Qiang Du
Maria Emelianenko
Lili Ju
+ PDF Chat Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes 2005 Qiang Du
Lili Ju
+ A Numerical Method for Controllability Problems for the Wave Equation 2003 Max Gunzburger
L. Steven Houl
Lili Ju
+ Approximation of exact boundary controllability problems for the 1-D wave equation by optimization-based methods 2003 Lili Ju
Max Gunzburger
Lisheng Hou
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations 2014 Lili Ju
Jian Zhang
Liyong Zhu
Qiang Du
32
+ Exponential Time Differencing for Stiff Systems 2002 Stephen M. Cox
P. C. Matthews
29
+ PDF Chat Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems 2005 Marlis Hochbruck
Alexander Ostermann
19
+ PDF Chat Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation 2019 Qiang Du
Lili Ju
Xiao Li
Zhonghua Qiao
19
+ Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes 2021 Qiang Du
Lili Ju
Xiao Li
Zhonghua Qiao
18
+ Fast High-Order Compact Exponential Time Differencing Runge–Kutta Methods for Second-Order Semilinear Parabolic Equations 2015 Liyong Zhu
Lili Ju
Weidong Zhao
17
+ Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints 2012 Qiang Du
Max Gunzburger
Richard B. Lehoucq
Kun Zhou
17
+ Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection 2017 Lili Ju
Li Xiao
Zhonghua Qiao
Hui Zhang
15
+ PDF Chat Exponential Integrators for Large Systems of Differential Equations 1998 Marlis Hochbruck
Christian Lubich
Hubert Selhofer
15
+ Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations 2013 Xiaochuan Tian
Qiang Du
15
+ PDF Chat Exponential integrators 2010 Marlis Hochbruck
Alexander Ostermann
14
+ Analysis and Applications of the Exponential Time Differencing Schemes and Their Contour Integration Modifications 2005 Qiang Du
Wen‐Xiang Zhu
14
+ Numerical Analysis of Fully Discretized Crank–Nicolson Scheme for Fractional-in-Space Allen–Cahn Equations 2017 Tianliang Hou
Tao Tang
Jiang Yang
14
+ PDF Chat On Krylov Subspace Approximations to the Matrix Exponential Operator 1997 Marlis Hochbruck
Christian Lubich
14
+ A New Class of Time Discretization Schemes for the Solution of Nonlinear PDEs 1998 Gregory Beylkin
James M. Keiser
L. Vozovoi
12
+ PDF Chat Compact integration factor methods in high spatial dimensions 2008 Qing Nie
Frederic Y. M. Wan
Yong‐Tao Zhang
Xinfeng Liu
12
+ Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations 2021 Lili Ju
Xiao Li
Zhonghua Qiao
Jiang Yang
12
+ PDF Chat Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle 2021 Jingwei Li
Xiao Li
Lili Ju
Xinlong Feng
11
+ A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows 2019 Jie Shen
Jie Xu
Jiang Yang
10
+ PDF Chat Strong Stability Preserving Integrating Factor Runge--Kutta Methods 2018 Leah Isherwood
Zachary J. Grant
Sigal Gottlieb
10
+ Strong Stability-Preserving High-Order Time Discretization Methods 2001 Sigal Gottlieb
Chi‐Wang Shu
Eitan Tadmor
10
+ Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants 1967 J. D. Lawson
9
+ PDF Chat Centroidal Voronoi Tessellations: Applications and Algorithms 1999 Qiang Du
Vance Faber
Max Gunzburger
9
+ An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models 2011 Zhonghua Qiao
Zhengru Zhang
Tao Tang
9
+ PDF Chat TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework 1989 Bernardo Cockburn
Chi‐Wang Shu
8
+ Generalized integrating factor methods for stiff PDEs 2004 Stein Krogstad
8
+ Nonlocal Operators with Applications to Image Processing 2008 Guy Gilboa
Stanley Osher
8
+ PDF Chat Exponential Rosenbrock-Type Methods 2009 Marlis Hochbruck
Alexander Ostermann
Julia Schweitzer
8
+ Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows 2003 Xiaobing Feng
Andreas Prohl
8
+ PDF Chat Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends 2016 Xiaofeng Yang
8
+ PDF Chat Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later 2003 C Moler
Charles Van Loan
8
+ Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen--Cahn Equations 2016 Qiang Du
Jiang Yang
8
+ PDF Chat Efficient implementation of essentially non-oscillatory shock-capturing schemes 1988 Chi‐Wang Shu
Stanley Osher
7
+ PDF Chat Fourth-Order Time-Stepping for Stiff PDEs 2005 Aly-Khan Kassam
Lloyd N. Trefethen
7
+ Efficient semi-implicit schemes for stiff systems 2005 Qing Nie
Yong‐Tao Zhang
Rui Zhao
7
+ PDF Chat Efficient Solution of Parabolic Equations by Krylov Approximation Methods 1992 Efstratios Gallopoulos
Yousef Saad
7
+ A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation 2014 Zhen Guan
Cheng Wang
Steven M. Wise
7
+ Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods 2005 Mayya Tokman
7
+ The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V 1998 Bernardo Cockburn
Chi‐Wang Shu
7
+ PDF Chat The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems 1998 Bernardo Cockburn
Chi‐Wang Shu
7
+ Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations 2019 Georgios Akrivis
Buyang Li
Dongfang Li
6
+ PDF Chat TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems 1989 Bernardo Cockburn
San‐Yih Lin
Chi‐Wang Shu
6
+ PDF Chat Expokit 1998 Roger B. Sidje
6
+ PDF Chat A conservative nonlocal convection–diffusion model and asymptotically compatible finite difference discretization 2017 Hao Tian
Lili Ju
Qiang Du
6
+ Stabilized linear semi-implicit schemes for the nonlocal Cahn–Hilliard equation 2018 Qiang Du
Lili Ju
Li Xiao
Zhonghua Qiao
6
+ PDF Chat A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability 2019 Kelong Cheng
Zhonghua Qiao
Cheng Wang
6
+ PDF Chat The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case 1990 Bernardo Cockburn
Suchung Hou
Chi‐Wang Shu
6
+ Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity 1992 Qiang Du
Max Gunzburger
Janet Peterson
6
+ PDF Chat Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations 2014 Lili Ju
Xinfeng Liu
Wei Leng
6
+ An efficient exponential time integration method for the numerical solution of the shallow water equations on the sphere 2016 Stéphane Gaudreault
Janusz A. Pudykiewicz
6