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09/10/2023
Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation
Earth introduces strong attenuation and dispersion to propagating waves....
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05/12/2023
α-robust error estimates of general non-uniform time-step numerical schemes for reaction-subdiffusion problems
Numerous error estimates have been carried out on various numerical sche...
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04/12/2023
Fully Conservative Difference Schemes for the Rotation-Two-Component Camassa-Holm System with Smooth/Nonsmooth Initial Data
The rotation-two-component Camassa–Holm system, which possesses strongly...
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02/16/2023
Second order convergence of a modified MAC scheme for Stokes interface problems
Stokes flow equations have been implemented successfully in practice for...
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02/15/2023
High performance implementation of 3D FEM for nonlocal Poisson problem with different ball approximation strategies
Nonlocality brings many challenges to the implementation of finite eleme...
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11/08/2022
Stability and convergence analysis of high-order numerical schemes with DtN-type absorbing boundary conditions for nonlocal wave equations
The stability and convergence analysis of high-order numerical approxima...
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11/03/2022
A unconditionally energy dissipative, adaptive IMEX BDF2 scheme and its error estimates for Cahn-Hilliard equation on generalized SAV approach
An adaptive implicit-explicit (IMEX) BDF2 scheme is investigated on gene...
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08/25/2022
Learning to Prune Instances of Steiner Tree Problem in Graphs
We consider the Steiner tree problem on graphs where we are given a set ...
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02/21/2022
On perfectly matched layers of nonlocal wave equations in unbounded multi-scale media
A nonlocal perfectly matched layer (PML) is formulated for the nonlocal ...
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01/23/2022
Sharp error estimate of variable time-step IMEX BDF2 scheme for parabolic integro-differential equations with initial singularity arising in finance
The recently developed technique of DOC kernels has been a great success...
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01/16/2022
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations
In this paper we consider a linearized variable-time-step two-step backw...
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12/05/2021
Variational Autoencoder with CCA for Audio-Visual Cross-Modal Retrieval
Cross-modal retrieval is to utilize one modality as a query to retrieve ...
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07/06/2021
DL-AMP and DBTO: An Automatic Merge Planning and Trajectory Optimization and Its Application in Autonomous Driving
This paper presents an automatic merging algorithm for autonomous drivin...
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01/12/2021
Sharp pointwise-in-time error estimate of L1 scheme for nonlinear subdiffusion equations
An essential feature of the subdiffusion equations with the α-order time...
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01/04/2021
Frequency Principle in Deep Learning Beyond Gradient-descent-based Training
Frequency perspective recently makes progress in understanding deep lear...
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12/03/2020
Perfectly Matched Layers for nonlocal Helmholtz equations Part II: higher dimensions
Perfectly matched layers (PMLs) are formulated and numerically applied t...
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07/22/2020
Numerical solution of a one-dimensional nonlocal Helmholtz equation by Perfectly Matched Layers
We consider the computation of a nonlocal Helmholtz equation by using Pe...
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02/25/2020
Exact artificial boundary conditions of 1D semi-discretized peridynamics
The peridynamic theory reformulates the equations of continuum mechanics...
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02/19/2020
Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs
This paper aims at studying the difference between Ritz-Galerkin (R-G) m...
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12/06/2019