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We present a compatible finite element discretisation for the vertical slice compressible Euler equations, at next-to-lowest order (i.e., the pressure space is bilinear discontinuous functions). The equations are numerically integrated in…

Numerical Analysis · Mathematics 2023-06-26 C. J. Cotter , J. Shipton

Rapid and accurate wildfire detection is crucial for emergency response and environmental management. In airborne and spaceborne missions, real-time algorithms must distinguish between no fire, active fire, and post-fire conditions, and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Mark Moussa , Andre Williams , Seth Roffe , Douglas Morton

Recent increase in wildfires worldwide has led to the need for real-time fire nowcasting. Physics-driven models, such as cellular automata and computational fluid dynamics can provide high-fidelity fire spread simulations but they are…

Machine Learning · Computer Science 2023-08-08 Sibo Cheng , Yike Guo , Rossella Arcucci

Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient-based optimization over metrics, drift fields, and downstream objectives that depend on geodesic…

Computational Engineering, Finance, and Science · Computer Science 2026-03-03 Barak Gahtan , Jacob Shpund , Alex M. Bronstein

Two wildland fire models are described, one based on reaction-diffusion-convection partial differential equations, and one based on semi-empirical fire spread by the level let method. The level set method model is coupled with the Weather…

Atmospheric and Oceanic Physics · Physics 2010-03-01 Jan Mandel , Jonathan D. Beezley , Janice L. Coen , Minjeong Kim

The frequency of wildfire disasters has surged five-fold in the past 50 years due to climate change. Preemptive de-energization is a potent strategy to mitigate wildfire risks but substantially impacts customers. We propose a multistage…

Optimization and Control · Mathematics 2024-04-10 Hanbin Yang , Noah Rhodes , Haoxiang Yang , Line Roald , Lewis Ntaimo

With the increased size and frequency of wildfire eventsworldwide, accurate real-time prediction of evolving wildfirefronts is a crucial component of firefighting efforts and for-est management practices. We propose a wildfire…

Computer Vision and Pattern Recognition · Computer Science 2020-09-10 Maxfield E. Green , Karl Kaiser , Nat Shenton

Motivated by the Extreme Value Analysis 2021 (EVA 2021) data challenge we propose a method based on statistics and machine learning for the spatial prediction of extreme wildfire frequencies and sizes. This method is tailored to handle…

Methodology · Statistics 2023-04-04 Daniela Cisneros , Yan Gong , Rishikesh Yadav , Arnab Hazra , Raphael Huser

Electric power infrastructure has ignited several of the most destructive wildfires in recent history. Preemptive power shutoffs are an effective tool to mitigate the risk of ignitions from power lines, but at the same time can cause…

Systems and Control · Electrical Eng. & Systems 2023-01-06 Noah Rhodes , Line Roald

In this paper, a novel method for data splitting is presented: an iterative procedure divides the input dataset of volcanic eruption, chosen as the proposed use case, into two parts using a dissimilarity index calculated on the cumulative…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Simona Reale , Pietro Di Stasio , Francesco Mauro , Alessandro Sebastianelli , Paolo Gamba , Silvia Liberata Ullo

A geometric model for the computation of the firefront of a forest wildfire which takes into account several effects (possibly time-dependent wind, anisotropies and slope of the ground) is introduced. It relies on a general theoretical…

Differential Geometry · Mathematics 2024-08-07 Miguel Ángel Javaloyes , Enrique Pendás-Recondo , Miguel Sánchez

As a competitive recovery method for heavy oil, In-Situ Combustion (ISC) shows its great potential accompanied by technological advances in recent years. Reservoir simulation will play an indispensable role in the prediction of the…

Computational Engineering, Finance, and Science · Computer Science 2018-11-30 Ruijian He , Bo Yang , Hui Liu , Zhangxin Chen

We present a differentiable weak-form learning approach for accelerating finite element simulations. Rather than introducing black-box source terms in the strong form of the governing equations, we augment the momentum equation directly in…

Fluid Dynamics · Physics 2026-01-29 Junoh Jung , Emil Constantinescu

Risk management in many environmental settings requires an understanding of the mechanisms that drive extreme events. Useful metrics for quantifying such risk are extreme quantiles of response variables conditioned on predictor variables…

Machine Learning · Statistics 2024-03-08 Jordan Richards , Raphaël Huser

We propose and analyse numerical schemes for a system of quasilinear, degenerate evolution equations modelling biofilm growth as well as other processes such as flow through porous media and the spreading of wildfires. The first equation in…

Numerical Analysis · Mathematics 2024-04-05 R. K. H. Smeets , K. Mitra , I. S. Pop , S. Sonner

A new computational method for finite-temperature properties of strongly correlated electrons is proposed by extending the variational Monte Carlo method originally developed for the ground state. The method is based on the path integral in…

Strongly Correlated Electrons · Physics 2016-06-10 Kensaku Takai , Kota Ido , Takahiro Misawa , Youhei Yamaji , Masatoshi Imada

Fine-grained fire prediction plays a crucial role in emergency response. Infrared images and fire masks provide complementary thermal and boundary information, yet current methods are predominantly limited to binary mask modeling with…

Computer Vision and Pattern Recognition · Computer Science 2025-12-22 Nan Zhou , Huandong Wang , Jiahao Li , Yang Li , Xiao-Ping Zhang , Yong Li , Xinlei Chen

We analyze the behaviour of an ensemble of time integrators applied to the semi-discrete problem resulting from the spectral discretization of the equations describing Boussinesq convection in a cylindrical annulus. The equations are cast…

Fluid Dynamics · Physics 2022-02-14 V. Gopinath , A. Fournier , T. Gastine

This paper establishes and analyzes a second-order accurate numerical scheme for the nonlinear partial integrodifferential equation with a weakly singular kernel. In the time direction, we apply the Crank-Nicolson method for the time…

Numerical Analysis · Mathematics 2022-09-07 Wenlin Qiu , Xu Xiao , Kexin Li

Recent wildfires in the United States have resulted in loss of life and billions of dollars, destroying countless structures and forests. Fighting wildfires is extremely complex. It is difficult to observe the true state of fires due to…

Artificial Intelligence · Computer Science 2020-10-16 Tina Diao , Samriddhi Singla , Ayan Mukhopadhyay , Ahmed Eldawy , Ross Shachter , Mykel Kochenderfer