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We assess the performance of a set of local time-stepping (LTS) schemes for the shallow water equations implemented in the Model for Prediction Across Scales (MPAS). The goal of LTS is to speed up the simulation by allowing different…

Numerical Analysis · Mathematics 2021-11-12 Giacomo Capodaglio , Mark Petersen

The Courant-Friedrichs-Lewy (CFL) condition is a well known, necessary condition for the stability of explicit time-stepping schemes that effectively places a limit on the size of the largest admittable time-step for a given problem. We…

Numerical Analysis · Mathematics 2024-10-23 Jeremy R. Lilly , Giacomo Capodaglio , Darren Engwirda , Robert L. Higdon , Mark R. Petersen

Numerical solutions of hyperbolic partial differential equations(PDEs) are ubiquitous in science and engineering. Method of lines is a popular approach to discretize PDEs defined in spacetime, where space and time are discretized…

Mathematical Software · Computer Science 2020-11-24 Milinda Fernando , Hari Sundar

Local adaptivity and mesh refinement are key to the efficient simulation of wave phenomena in heterogeneous media or complex geometry. Locally refined meshes, however, dictate a small time-step everywhere with a crippling effect on any…

Numerical Analysis · Mathematics 2017-03-24 Marcus J. Grote , Michaela Mehlin , Stefan Sauter

Long Short-Term Memory Networks (LSTMs) have been applied to daily discharge prediction with remarkable success. Many practical scenarios, however, require predictions at more granular timescales. For instance, accurate prediction of short…

Machine Learning · Computer Science 2021-04-20 Martin Gauch , Frederik Kratzert , Daniel Klotz , Grey Nearing , Jimmy Lin , Sepp Hochreiter

Local time-stepping methods permit to overcome the severe stability constraint on explicit methods caused by local mesh refinement without sacrificing explicitness. In \cite{DiazGrote09}, a leapfrog based explicit local time-stepping…

Numerical Analysis · Mathematics 2022-04-05 Marcus J. Grote , Simon Michel , Stefan Sauter

Accurate wave height prediction is critical for maritime safety and coastal resilience, yet conventional physics-based models and traditional machine learning methods face challenges in computational efficiency and nonlinear dynamics…

Machine Learning · Computer Science 2025-09-03 Yilin Zhai , Hongyuan Shi , Chao Zhan , Qing Wang , Zaijin You , Nan Wang

Test-Time Scaling (TTS) has proven effective in improving the performance of Large Language Models (LLMs) during inference. However, existing research has overlooked the efficiency of TTS from a latency-sensitive perspective. Through a…

Computation and Language · Computer Science 2025-09-15 Zili Wang , Tianyu Zhang , Haoli Bai , Lu Hou , Xianzhi Yu , Wulong Liu , Shiming Xiang , Lei Zhu

An approach to utilizing adaptive mesh refinement algorithms for storm surge modeling is proposed. Currently numerical models exist that can resolve the details of coastal regions but are often too costly to be run in an ensemble…

Numerical Analysis · Mathematics 2014-01-23 Kyle T. Mandli , Clint N. Dawson

Physics simulation results of natural processes usually do not fully capture the real world. This is caused for instance by limits in what physical processes are simulated and to what accuracy. In this work we propose and analyze the use of…

Machine Learning · Computer Science 2024-03-11 Stefanos Giaremis , Noujoud Nader , Clint Dawson , Hartmut Kaiser , Carola Kaiser , Efstratios Nikidis

The time of arrival (TOA)-based localization techniques, which need to estimate the delay of the line-of-sight (LoS) path, have been widely employed in location-aware networks. To achieve a high-accuracy delay estimation, a number of…

Signal Processing · Electrical Eng. & Systems 2022-06-22 Yubo Wan , An Liu , Qiyu Hu , Mianyi Zhang , Yunlong Cai

Adaptivity and local mesh refinement are crucial for the efficient numerical simulation of wave phenomena in complex geometry. Local mesh refinement, however, can impose a tiny time-step across the entire computational domain when using…

Numerical Analysis · Mathematics 2024-09-27 Marcus J. Grote , Simon R. J. Michel , Stefan A. Sauter

Latent Space (LS) network models project the nodes of a network on a $d$-dimensional latent space to achieve dimensionality reduction of the network while preserving its relevant features. Inference is often carried out within a Markov…

Computation · Statistics 2024-08-23 Roberto Casarin , Antonio Peruzzi

Innovative numerical scheme studied in this work enables to overcome two main limitations of Building Performance Simulation (BPS) programs as high computational cost and the choice of a very fine numerical grid. The method, called…

Computational Engineering, Finance, and Science · Computer Science 2020-01-07 Madina Abdykarim , Julien Berger , Denys Dutykh , Amen Agbossou

A high-order multi-time-step (MTS) scheme for the bond-based peridynamic (PD) model, an extension of classical continuous mechanics widely used for analyzing discontinuous problems like cracks, is proposed. The MTS scheme discretizes the…

Numerical Analysis · Mathematics 2024-01-11 Chenguang Liu , Jie Sun , Hao Tian , WaiSun Don , Lili Ju

Accurate information on waves and storm surges is essential to understand coastal hazards that are expected to increase in view of global warming and rising sea levels. Despite the recent advancement in development and application of…

Land Surface Temperature (LST) is a key variable for various applications, such as urban climate and ecology studies. Yet, existing satellite-derived LST products provide either high spatial or high temporal resolution, resulting in a…

Machine Learning · Computer Science 2026-05-14 Solomiia Kurchaba , Angela Meyer

This paper proposes a machine learning method based on the Extra Trees (ET) algorithm for forecasting Significant Wave Heights in oceanic waters. To derive multiple features from the CDIP buoys, which make point measurements, we first…

Atmospheric and Oceanic Physics · Physics 2021-07-15 Pujan Pokhrel

This letter adopts long short-term memory(LSTM) to predict sea surface temperature(SST), which is the first attempt, to our knowledge, to use recurrent neural network to solve the problem of SST prediction, and to make one week and one…

Computer Vision and Pattern Recognition · Computer Science 2017-11-22 Qin Zhang , Hui Wang , Junyu Dong , Guoqiang Zhong , Xin Sun

The objective of this paper is to employ machine learning (ML) and deep learning (DL) techniques to obtain from input data (storm features) available in or derived from the HURDAT2 database models capable of simulating important hurricane…

Atmospheric and Oceanic Physics · Physics 2022-09-16 Rikhi Bose , Adam L. Pintar , Emil Simiu
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