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09/18/2023
High-order BDF convolution quadrature for fractional evolution equations with hyper-singular source term
Anomalous diffusion in the presence or absence of an external force fiel...
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08/19/2023
Minimizing Carbon Footprint for Timely E-Truck Transportation: Hardness and Approximation Algorithm
Carbon footprint optimization (CFO) is important for sustainable heavy-d...
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05/05/2023
High-order BDF convolution quadrature for subdiffusion models with a singular source term
Anomalous diffusion is often modelled in terms of the subdiffusion equat...
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07/18/2022
Modified BDF2 schemes for subdiffusion models with a singular source term
The aim of this paper is to study the time stepping scheme for approxima...
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06/07/2022
DeepOPF-AL: Augmented Learning for Solving AC-OPF Problems with Multiple Load-Solution Mappings
The existence of multiple load-solution mappings of non-convex AC-OPF pr...
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05/19/2022
Learning-based AC-OPF Solvers on Realistic Network and Realistic Loads
Deep learning approaches for the Alternating Current-Optimal Power Flow ...
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03/02/2022
A density peaks clustering algorithm with sparse search and K-d tree
Density peaks clustering has become a nova of clustering algorithm becau...
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02/23/2022
Fast algebraic multigrid for block-structured dense and Toeplitz-like-plus-Cross systems arising from nonlocal diffusion problems
Algebraic multigrid (AMG) is one of the most efficient iterative methods...
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02/07/2022
Competitive Online Optimization with Multiple Inventories: A Divide-and-Conquer Approach
We study a competitive online optimization problem with multiple invento...
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01/01/2022
Discovery of subdiffusion problem with noisy data via deep learning
Data-driven discovery of partial differential equations (PDEs) from obse...
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12/27/2021
Weighted and shifted BDF3 methods on variable grids for a parabolic problem
As is well known, the stability of the 3-step backward differentiation f...
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12/27/2021
Correction of high-order L_k approximation for subdiffusion
The subdiffusion equations with a Caputo fractional derivative of order ...
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12/15/2021
Ensuring DNN Solution Feasibility for Optimization Problems with Convex Constraints and Its Application to DC Optimal Power Flow Problems
Ensuring solution feasibility is a key challenge in developing Deep Neur...
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08/06/2021
Weighted and shifted BDF2 methods on variable grids
Variable steps implicit-explicit multistep methods for PDEs have been pr...
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04/19/2021
BDF6 SAV schemes for time-fractional Allen-Cahn dissipative systems
Recently, the error analysis of BDFk (1⩽ k⩽5) SAV (scalar auxiliary vari...
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03/22/2021
DeepOPF-V: Solving AC-OPF Problems Efficiently
AC optimal power flow (AC-OPF) problems need to be solved more frequentl...
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02/26/2021
Online Peak-Demand Minimization Using Energy Storage
We study the problem of online peak minimization under inventory constra...
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10/25/2020
Backward difference formula: The energy technique for subdiffusion equation
Based on the equivalence of A-stability and G-stability, the energy tech...
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10/19/2020
Asymptotically compatible piecewise quadratic polynomial collocation for nonlocal model
In this paper, we propose and analyze piecewise quadratic polynomial col...
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07/17/2020
The energy technique for the six-step BDF method
In combination with the Grenander–Szegö theorem, we observe that a relax...
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07/03/2020
Correction of BDFk for fractional Feynman-Kac equation with Lévy flight
In this work, we present the correction formulas of the k-step BDF convo...
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07/02/2020
DeepOPF: A Feasibility-Optimized Deep Neural Network Approach for AC Optimal Power Flow Problems
The AC-OPF problem is the key and challenging problem in the power syste...
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02/10/2020
Fast and High-order Accuracy Numerical Methods for Time-Dependent Nonlocal Problems in R^2
In this paper, we study the Crank-Nicolson method for temporal dimension...
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10/30/2019
DeepOPF: A Deep Neural Network Approach for Security-Constrained DC Optimal Power Flow
We develop DeepOPF as a Deep Neural Network (DNN) approach for solving s...
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09/24/2019
A sharp error estimate of piecewise polynomial collocation for nonlocal problems with weakly singular kernels
As is well known, using piecewise linear polynomial collocation (PLC) an...
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09/13/2019
Electro-optical Neural Networks based on Time-stretch Method
In this paper, a novel architecture of electro-optical neural networks b...
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05/17/2019
Stay or Switch: Competitive Online Algorithms for Energy Plan Selection in Energy Markets with Retail Choice
Energy markets with retail choice enable customers to switch energy plan...
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01/26/2019
Competitive Online Optimization under Inventory Constraints
This paper studies online optimization under inventory (budget) constrai...
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01/15/2019
Balancing Cost and Dissatisfaction in Online EV Charging under Real-time Pricing
We consider an increasingly popular demand-response scenario where a use...
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12/14/2018
Network Utility Maximization under Maximum Delay Constraints and Throughput Requirements
We consider a multiple-unicast network flow problem of maximizing aggreg...
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11/30/2018
Minimizing Age-of-Information with Throughput Requirements in Multi-Path Network Communication
We consider the scenario where a sender periodically sends a batch of da...
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11/30/2018
Minimizing Age-of-Information with Throughput Constraints in Multi-Path Network Communication
Age-of-information (AoI) is a newly proposed time-critical networking pe...
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10/07/2017
Device-to-Device Load Balancing for Cellular Networks
Small-cell architecture is widely adopted by cellular network operators ...
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02/24/2017
Understanding Performance of Edge Content Caching for Mobile Video Streaming
Today's Internet has witnessed an increase in the popularity of mobile v...
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06/15/2016