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A Static-to-Temporal Framework for Interpretable Camera Lens Soiling Severity Estimation in Autonomous Driving [PDF]
SensorsCamera lens soiling can severely degrade visual perception in autonomous driving, making reliable soiling severity estimation essential for camera-health monitoring and downstream perception safety.
Fan Yang +3 more
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Strong Stability Preserving Two-Derivative Two-Step Runge-Kutta Methods
MathematicsIn this study, we introduce the explicit strong stability preserving (SSP) two-derivative two-step Runge-Kutta (TDTSRK) methods. We propose the order conditions using Albrecht’s approach, comparing to the order conditions expressed in terms of rooted ...
Xueyu Qin, Zhenhua Jiang, Chao Yan
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Mechanistic Insights into AAV Capsid–Stationary Phase Interactions Governing Native Stability and Chromatographic Separation Using AAV8 as a Model System [PDF]
PharmaceuticsBackground/Objectives: Adeno-associated viruses (AAVs) are widely used gene therapy vectors; yet their physicochemical stability and chromatographic behavior are highly sensitive to the solution conditions they are in.
Timotej Žvanut +3 more
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Strong Stability Preserving Runge-Kutta Methods Applied to Water Hammer Problem
Trends in Computational and Applied Mathematics, 2022 The characteristic method of lines is the most used numerical method applied to the water hammer problem. It transforms a system of partial differential equations involving the independent variables time and space in two ordinary differential equations ...
D. F. G. Santiago +3 more
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Krylov SSP Integrating Factor Runge–Kutta WENO Methods
Mathematics, 2021 Weighted essentially non-oscillatory (WENO) methods are especially efficient for numerically solving nonlinear hyperbolic equations. In order to achieve strong stability and large time-steps, strong stability preserving (SSP) integrating factor (IF ...
Shanqin Chen
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Robust Prediction of Sea Surface Temperature Based on SSPGAN
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023 Sea surface temperature (SST) is an important parameter for monitoring ocean phenomena. Driven by ocean satellite Big Data, deep neural networks have achieved state-of-the-art performance in forecasting fields of oceanic phenomena.
Xiaofang Yao +4 more
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Exponential stability of the flow for a generalized Burgers equation on a circle
Современная математика: Фундаментальные направления, 2023 The paper deals with the problem of stability for the flow of the 1D Burgers equation on a circle. Using some ideas from the theory of positivity preserving semigroups, we establish the strong contraction in the \(L^1\) norm.
A. Djurdjevac, A. R. Shirikyan
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Partial Differential Equations in Applied Mathematics, 2021 In present study, Modified Cubic Hyperbolic B-spline Differential Quadrature Method is constructed for getting the numerical approximations of 1D and 2D non-linear Schrödinger equations. Modified cubic Hyperbolic B-spline is implemented as basis function
Mamta Kapoor, Varun Joshi
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Advances in Mathematical Physics, 2021 In this work, computational analysis of generalized Burger’s-Fisher and generalized Burger’s-Huxley equation is carried out using the sixth-order compact finite difference method.
Ravneet Kaur +3 more
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Ain Shams Engineering Journal, 2021 In present paper, a new technique is developed named Uniform Algebraic Trigonometric (UAT) tension B-spline based DQM, for the better numerical approximation of coupled 1D and coupled 2D Burgers’ equation.
Mamta Kapoor, Varun Joshi
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