Lili Ju | DeepAI

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Xiao Li
105 publications
Song Wang
88 publications
Hao Guo
49 publications
Jianfeng Zhang
27 publications
Qiang Du
26 publications
Zhu Wang
25 publications
Guannan Zhang
23 publications
Katharina Schratz
23 publications
Yuhang Lu
22 publications
Jiang Yang
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Xinyi Wu
19 publications

∙ 01/27/2023

TransNet: Transferable Neural Networks for Partial Differential Equations

Transfer learning for partial differential equations (PDEs) is to develo...

0 Zezhong Zhang, et al. ∙

∙ 11/08/2022

Low regularity integrators for semilinear parabolic equations with maximum bound principles

This paper is concerned with conditionally structure-preserving, low reg...

0 Cao-Kha Doan, et al. ∙

∙ 11/02/2022

A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with general mobility

In this paper, we propose and analyze a linear second-order numerical me...

0 Dianming Hou, et al. ∙

∙ 10/14/2022

Stabilized exponential time differencing schemes for the convective Allen-Cahn equation

The convective Allen-Cahn equation has been widely used to simulate mult...

0 Yongyong Cai, et al. ∙

∙ 09/24/2022

Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations

In this paper, we propose an efficient exponential integrator finite ele...

0 Jianguo Huang, et al. ∙

∙ 06/15/2022

A Multifidelity Monte Carlo Method for Realistic Computational Budgets

A method for the multifidelity Monte Carlo (MFMC) estimation of statisti...

0 Anthony Gruber, et al. ∙

∙ 04/17/2022

Energetically Consistent Model Reduction for Metriplectic Systems

The metriplectic formalism is useful for describing complete dynamical s...

0 Anthony Gruber, et al. ∙

∙ 03/14/2022

Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations

It is well-known that the Allen-Cahn equation not only satisfies the ene...

0 Lili Ju, et al. ∙

∙ 03/09/2022

Generalized SAV-exponential integrator schemes for Allen-Cahn type gradient flows

The energy dissipation law and the maximum bound principle (MBP) are two...

0 Lili Ju, et al. ∙

∙ 12/09/2021

Style Mixing and Patchwise Prototypical Matching for One-Shot Unsupervised Domain Adaptive Semantic Segmentation

In this paper, we tackle the problem of one-shot unsupervised domain ada...

0 Xinyi Wu, et al. ∙

∙ 12/02/2021

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

Due to the curse of dimensionality and the limitation on training data, ...

0 Yuankai Teng, et al. ∙

∙ 10/05/2021

A Comparison of Neural Network Architectures for Data-Driven Reduced-Order Modeling

The popularity of deep convolutional autoencoders (CAEs) has engendered ...

13 Anthony Gruber, et al. ∙

∙ 07/10/2021

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

It is well known that the classic Allen-Cahn equation satisfies the maxi...

0 Kun Jiang, et al. ∙

∙ 05/27/2021

High-Order Multirate Explicit Time-Stepping Schemes for the Baroclinic-Barotropic Split Dynamics in Primitive Equations

In order to treat the multiple time scales of ocean dynamics in an effic...

0 Rihui Lan, et al. ∙

∙ 05/23/2021

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

Partial differential equations are often used to model various physical ...

0 Yuankai Teng, et al. ∙

∙ 04/29/2021

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

A dimension reduction method based on the "Nonlinear Level set Learning"...

13 Anthony Gruber, et al. ∙

∙ 04/22/2021

DANNet: A One-Stage Domain Adaptation Network for Unsupervised Nighttime Semantic Segmentation

Semantic segmentation of nighttime images plays an equally important rol...

31 Xinyi Wu, et al. ∙

∙ 04/20/2021

Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle

Maximum bound principle (MBP) is an important property for a large class...

0 Jingwei Li, et al. ∙

∙ 10/23/2020

Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations

A large class of semilinear parabolic equations satisfy the maximum boun...

0 Lili Ju, et al. ∙

∙ 05/23/2020

Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes

The ubiquity of semilinear parabolic equations has been illustrated in t...

0 Qiang Du, et al. ∙

∙ 03/05/2020

A diagonal sweeping domain decomposition method with trace transfer for the Helmholtz equation

In this paper, the diagonal sweeping domain decomposition method (DDM) f...

0 Wei Leng, et al. ∙

∙ 02/13/2020

A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation

In this paper, we propose a novel diagonal sweeping domain decomposition...

0 Wei Leng, et al. ∙

∙ 02/06/2020

Conservative numerical schemes with optimal dispersive wave relations – Part II. Numerical evaluations

A new energy and enstrophy conserving scheme is evaluated using a suite ...

0 Qingshan Chen, et al. ∙

∙ 09/10/2018

Interactive Binary Image Segmentation with Edge Preservation

Binary image segmentation plays an important role in computer vision and...

6 Jianfeng Zhang, et al. ∙

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