Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection by Zhenmin Zhu, Xin Xu, Xiang Sun, Xinyun Wang

“…On the basis of the Lambertian characteristic of LEDs and the ideal diffuse surface, a design method that features a multiple diffuse reflectance freeform surface is proposed and its related mathematical model is established in this paper. …”
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An immersed interface method for nonlinear convection–diffusion equations with interfaces by Miguel Uh Zapata, Reymundo Itza Balam, Silvia Jerez

“…Numerical simulations for several benchmark problems show the robustness and efficiency of the proposed scheme.…”
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Bohm Diffusion in Magnetron Sputtering System: A Review Article by Murad M. Kadhim, Qusay A. Abbas

“… This review provides a comprehensive analysis of recent advances in understanding Bohm diffusion in magnetron sputtering systems, a process critical for optimizing thin-film deposition. …”
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Three-Dimensional Surface Reconstruction for Specular/Diffuse Composite Surfaces by Chung-Hsuan Huang, Ssu-Chia He, Tsung-Yu Chen, Chau-Jern Cheng, Han-Yen Tu

“…This paper presents an effective three-dimensional (3D) surface reconstruction technique aimed at profiling composite surfaces with both specular and diffuse reflectance. Three-dimensional measurements based on fringe projection techniques perform well on diffuse reflective surfaces; however, when the measurement targets contain both specular and diffuse components, the efficiency of fringe projection decreases. …”
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Multi-scale adversarial diffusion network for image super-resolution by Yanli Shi, Xianhe Zhang, Yi Jia, Jinxing Zhao

“…Abstract Image super-resolution methods based on diffusion models have achieved remarkable success, but they still suffer from two significant limitations. …”
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Two-stage Mamba-based diffusion model for image restoration by Lei Liu, Luan Ma, Shuai Wang, Jun Wang, Silas N. Melo

“…DSSM combines Mamba’s high efficiency with the representative power of diffusion models, enhancing both inference and training. …”
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Numerical Investigation of a Supersonic Wind Tunnel Diffuser Optimization by Riccardo Nicoletti, Francesco Margani, Luca Armani, Antonella Ingenito, Chihiro Fujio, Hideaki Ogawa, Seoeum Han, Bok Jik Lee

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Accelerating Multiphase Simulations With Denoising Diffusion Model Driven Initializations by Jaehong Chung, Agnese Marcato, Eric J. Guiltinan, Tapan Mukerji, Hari Viswanathan, Yen Ting Lin, Javier E. Santos

“…Abstract This study introduces a hybrid fluid simulation approach that integrates generative diffusion models with physics‐based simulations, aiming at reducing the computational costs of flow simulations while still honoring all the physical properties of interest. …”
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Option Pricing under the Jump Diffusion and Multifactor Stochastic Processes by Shican Liu, Yanli Zhou, Yonghong Wu, Xiangyu Ge

“…For the reason that the combination of multiscale volatility processes and jump diffusion process results in a high dimensional differential equation (PIDE), an efficient finite element method is proposed and the integral term arising from the jump term is absorbed to simplify the problem. …”
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Variational Image Denoising Approach with Diffusion Porous Media Flow by Tudor Barbu

“…One designs here a nonlinear filter for image noise reduction based on the diffusion flow generated by the porous media equation ∂u/∂t=Δβ(u), where β is a nonlinear continuous function of the form β(u)=λum, 0<m<1. …”
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Diffused-Line-of-Sight Communication for Mobile and Fixed Underwater Nodes by Yujian Guo, Meiwei Kong, Omar Alkhazragi, Xiaobin Sun, Mohammed Sait, Tien Khee Ng, Boon S. Ooi

“…This work describes a pulse-position-modulation-based (PPM-based) diffused-line-of-sight UWOC system that offers a solution to this issue. …”
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Diffusion of Proteins Across the Nuclear Envelope of HeLa Cells by Shivani Chatterjee, Ursula Stochaj

“…We define different conditions that promote the diffusion of small nuclear proteins across the nuclear envelope of mammalian culture cells. …”
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Classification of Alzheimer's disease using unsupervised diffusion component analysis by Dominique Duncan, Thomas Strohmer

“…The new algorithm constructs coordinates as an extension of diffusion maps and generates efficient geometric representations of the complex structure of the MRI data. …”
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Investigation of New Design Principles for the Centrifugal Compressor Vaned Diffusers by Qingkuo Li, Zhigang Sun, Xingen Lu, Yingjie Zhang, Ge Han

“…The vaned diffusers with subsonic, transonic and supersonic inlet conditions were optimized with the new design principles, and the peak efficiencies were increased by 4.23%, 2.15% and 2.59%, respectively. …”
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Innovative Solutions to the Fractional Diffusion Equation Using the Elzaki Transform by Saima Noor, Albandari W. Alrowaily, Mohammad Alqudah, Rasool Shah, Samir A. El-Tantawy

“…By integrating these methodologies, we achieve accurate and efficient solutions to the fractional diffusion equation. …”
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The mean first passage time as a natural diffusion distance by Maxim J. Goldberg, Seonja Kim

“…Even if the transition matrix does not arise from heat flow, and may in fact be non-symmetric and non-bistochastic, we note that the MFPT satisfies the triangle inequality. Moreover, various efficient ways to compute the MFPT, and approximations to the MFPT, have been proposed in the literature.Additionally, we establish a novel connection between certain mean first passage times and the sum of squares of Coifman-Lafon diffusion distances across all scales.…”
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Using Spinodal Decomposition to Investigate Diffusion Enhancement and Vacancy Population by Xinren Chen, Frédéric De Geuser, Alisson Kwiatkowski da Silva, Chuanlai Liu, Eric Woods, Dirk Ponge, Baptiste Gault, Dierk Raabe

“…Abstract Material sustainability requires energy‐efficient and rapid strengthening processes. In alloys, strengthening through diffusion‐driven precipitation is limited by the low vacancy concentration, with fewer than one vacancy per 100 billion lattice sites at room temperature in metals such as aluminum and iron under thermodynamic equilibrium. …”
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KEDM: Knowledge-Embedded Diffusion Model for Infrared Image Destriping by Lingxiao Li, Xin Wang, Dan Huang, Yunan He, Zhuqiang Zhong, Qingling Xia

“…Specifically, LDM leverages a pretrained variational autoencoder (VAE) to transform the input image into latent feature space for efficient diffusion propagation, reducing computational complexity while preserving image restoration quality. …”
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Modeling nitric oxide diffusion and plasticity modulation in cerebellar learning by Alessandra Maria Trapani, Carlo Andrea Sartori, Benedetta Gambosi, Alessandra Pedrocchi, Alberto Antonietti

“…We developed the NO Diffusion Simulator (NODS), a Python module designed to model NO production and diffusion within a cerebellar spiking neural network framework. …”
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Surface renewal driven copper recovery by cementation in a stirred reactor with a rotating wiper mechanism by A. S. Fathalla, E.-S. Z. El-Ashtoukhy, M. H. Abdel-Aziz, G. H. Sedahmed, M. A. El-Naggar

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