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We present here a semi-analytical solution of the problem of particle acceleration at non-linear shock waves with a free escape boundary at some location upstream. This solution, besides allowing us to determine the spectrum of particles…

High Energy Astrophysical Phenomena · Physics 2014-11-20 D. Caprioli , E. Amato , P. Blasi

This study investigates the capabilities of Cyclic Redundancy Checks(CRCs) to detect burst and random errors. Researchers have favored these error detection codes throughout the evolution of computing and have implemented them in…

Networking and Internet Architecture · Computer Science 2022-05-24 Waylon Jepsen

The design and analysis of communication systems typically rely on the development of mathematical models that describe the underlying communication channel. However, in some systems, such as molecular communication systems where chemical…

Signal Processing · Electrical Eng. & Systems 2018-02-23 Nariman Farsad , Andrea Goldsmith

Detecting object-level changes between two images across possibly different views is a core task in many applications that involve visual inspection or camera surveillance. Existing change-detection approaches suffer from three major…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Hung Huy Nguyen , Pooyan Rahmanzadehgervi , Long Mai , Anh Totti Nguyen

In this paper, we propose a novel approximation strategy for time-dependent hyperbolic systems of conservation laws for the Euler system of gas dynamics that aims to represent the dynamics of strong interacting discontinuities. The goal of…

Numerical Analysis · Mathematics 2023-01-16 Paola Bacigaluppi , Rémi Abgrall , Svetlana Tokareva

To separate the overlapped cells, a bottleneck detection approach is proposed in this paper. The cell image is segmented by slope difference distribution (SDD) threshold selection. For each segmented binary clump, its one-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 ZhenZhou Wang

We present a high order, robust, and stable shock-capturing technique for finite element approximations of ideal MHD. The method uses continuous Lagrange polynomials in space and explicit Runge-Kutta schemes in time. The shock-capturing…

Numerical Analysis · Mathematics 2021-12-17 Tuan Anh Dao , Murtazo Nazarov

High-order implicit shock tracking (fitting) is a class of high-order, optimization-based numerical methods to approximate solutions of conservation laws with non-smooth features by aligning elements of the computational mesh with…

Numerical Analysis · Mathematics 2023-04-25 Tianci Huang , Charles Naudet , Matthew J. Zahr

We consider a multi-object detection problem over a sensor network (SNET) with limited range sensors. This problem complements the widely considered decentralized detection problem where all sensors observe the same object. While the…

Information Theory · Computer Science 2016-11-17 Erhan B. Ermis , Venkatesh Saligrama

The verification and validation of a high-order compressible in-house solver based on a compact finite difference scheme are presented. Validation is performed using five canonical cases: the one-dimensional Sod shock tube problem,…

Fluid Dynamics · Physics 2026-02-09 Yujoo Kang , Sang Lee

This paper proposes an implicit family of sub-step integration algorithms grounded in the explicit singly diagonally implicit Runge-Kutta (ESDIRK) method. The proposed methods achieve third-order consistency per sub-step and thus the…

Numerical Analysis · Mathematics 2025-06-05 Jinze Li , Hua Li , Kaiping Yu , Rui Zhao

Sequential DeepFake detection is an emerging task that predicts the manipulation sequence in order. Existing methods typically formulate it as an image-to-sequence problem, employing conventional Transformer architectures. However, these…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Yunfei Li , Yuezun Li , Baoyuan Wu , Junyu Dong , Guopu Zhu , Siwei Lyu

Surface defect detection is an extremely crucial step to ensure the quality of industrial products. Nowadays, convolutional neural networks (CNNs) based on encoder-decoder architecture have achieved tremendous success in various defect…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Junpu Wang , Guili Xu , Fuju Yan , Jinjin Wang , Zhengsheng Wang

There are many ideas for developing shock-capturing schemes and their extension for all-speed flow. The representatives of them are Roe, HLL and AUSM families. In this paper, a uniform algorithm is proposed, which expresses three families…

Computational Physics · Physics 2015-07-23 Xue-song Li

A least-squares neural network (LSNN) method was introduced for solving scalar linear and nonlinear hyperbolic conservation laws (HCLs) in [7, 6]. This method is based on an equivalent least-squares (LS) formulation and uses ReLU neural…

Numerical Analysis · Mathematics 2023-05-09 Zhiqiang Cai , Jingshuang Chen , Min Liu

Asymptotic decay laws for planar and nonplanar shock waves and the first order associated discontinuities that catch up with the shock from behind are obtained using four different approximation methods. The singular surface theory is used…

Analysis of PDEs · Mathematics 2014-04-14 Vishnu D. Sharma , Raghavendra Venkatraman

Inspired by graph-based methodologies, we introduce a novel graph-spanning algorithm designed to identify changes in both offline and online data across low to high dimensions. This versatile approach is applicable to Euclidean and…

Machine Learning · Statistics 2026-01-09 Yang-Wen Sun , Katerina Papagiannouli , Vladimir Spokoiny

Hypersonic leading-edge separation is studied towards understanding the varying shock-related unsteadiness with freestream Reynolds number ($1.66 \times 10^5 \leq Re_D \leq 5.85 \times 10^5$) in the newly constructed hypersonic Ludwieg…

Fluid Dynamics · Physics 2023-01-25 S. K. Karthick , Soumya R. Nanda , J. Cohen

Currently, the destruction of the sequence structure in handwritten text has become one of the main bottlenecks restricting the recognition task. The typical situations include additional specific markers (the text swapping modification)…

Computer Vision and Pattern Recognition · Computer Science 2024-10-16 Zi-Rui Wang

Acoustically excited bubbles are involved in a wide range of phenomena and applications ranging from oceanography to sonoluminescence; they have applications in chemistry, medical imaging, and therapeutic ultrasound. The complexity of…

Fluid Dynamics · Physics 2018-10-03 AJ. Sojahrood , D. Wegierak , H. Haghi , R. Karshafian , M. C. Kolios