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Post-processing typically takes the outputs of a Numerical Weather Prediction (NWP) model and applies linear statistical techniques to produce improve localized forecasts, by including additional observations, or determining systematic…

This paper shows an analysis of the gridded European precipitation data. We combine simple linear regression with data mining tools like clustering, and evaluate the strength of the results by the modern bootstrap methods. We have used the…

Applications · Statistics 2018-11-01 Csilla Hajas , András Zempléni

This paper introduces a novel geometric multigrid solver for unstructured curved surfaces. Multigrid methods are highly efficient iterative methods for solving systems of linear equations. Despite the success in solving problems defined on…

Graphics · Computer Science 2021-05-05 Hsueh-Ti Derek Liu , Jiayi Eris Zhang , Mirela Ben-Chen , Alec Jacobson

Memory bound applications such as solvers for large sparse systems of equations remain a challenge for GPUs. Fast solvers should be based on numerically efficient algorithms and implemented such that global memory access is minimised. To…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-01 Eike Hermann Müller , Robert Scheichl , Eero Vainikko

Seasonal forecasting remains challenging due to the inherent chaotic nature of atmospheric dynamics. This paper introduces DeepSeasons, a novel deep learning approach designed to enhance the accuracy and reliability of seasonal forecasts.…

Atmospheric and Oceanic Physics · Physics 2025-09-16 A. Navarra , G. G. Navarra

The manpower scheduling problem is a critical research field in the resource management area. Based on the existing studies on scheduling problem solutions, this paper transforms the manpower scheduling problem into a combinational…

Artificial Intelligence · Computer Science 2021-05-12 Lingyu Zhang , Tianyu Liu , Yunhai Wang

We propose a time-adaptive predictor/multi-corrector method to solve hyperbolic partial differential equations, based on the generalized-$\alpha$ scheme that provides user-control on the numerical dissipation and second-order accuracy in…

Numerical Analysis · Mathematics 2022-10-11 Nicolas A. Labanda , Pouria Behnoudfar , Victor M. Calo

Hybrid modeling combining data-driven techniques and numerical methods is an emerging and promising research direction for efficient climate simulation. However, previous works lack practical platforms, making developing hybrid modeling a…

Atmospheric and Oceanic Physics · Physics 2022-09-20 Xin Wang , Wei Xue , Yilun Han , Guangwen Yang

The availability of reliable, high-resolution climate and weather data is important to inform long-term decisions on climate adaptation and mitigation and to guide rapid responses to extreme events. Forecasting models are limited by…

This work deals with the efficient numerical solution of the time-fractional heat equation discretized on non-uniform temporal meshes. Non-uniform grids are essential to capture the singularities of "typical" solutions of time-fractional…

Numerical Analysis · Mathematics 2020-05-08 Xiaozhe Hu , Carmen Rodrigo , Francisco J. Gaspar

The recent revolution in data-driven methods for weather forecasting has lead to a fragmented landscape of complex, bespoke architectures and training strategies, obscuring the fundamental drivers of forecast accuracy. Here, we demonstrate…

Seasonal forecasting is a crucial task when it comes to detecting the extreme heat and colds that occur due to climate change. Confidence in the predictions should be reliable since a small increase in the temperatures in a year has a big…

Machine Learning · Computer Science 2024-04-05 Busra Asan , Abdullah Akgül , Alper Unal , Melih Kandemir , Gozde Unal

We consider the commonly encountered situation (e.g., in weather forecasting) where the goal is to predict the time evolution of a large, spatiotemporally chaotic dynamical system when we have access to both time series data of previous…

Seamless forecasts are based on a combination of different sources to produce the best possible forecasts. Statistical multimodel postprocessing helps to combine various sources to achieve these seamless forecasts. However, when one of the…

Methodology · Statistics 2024-10-17 Markus Dabernig , Aitor Atencia

Extreme weather variations and the increasing unpredictability of load behavior make it difficult to determine power grid dispatches that are robust to uncertainties. While machine learning (ML) methods have improved the ability to model…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Aayushya Agarwal , Larry Pileggi

Unfitted finite element methods have emerged as a popular alternative to classical finite element methods for the solution of partial differential equations and allow modeling arbitrary geometries without the need for a boundary-conforming…

Numerical Analysis · Mathematics 2021-03-19 S. Saberi , G. Meschke , A. Vogel

The problem of finding the solution of Partial Differential Equations (PDEs) plays a central role in modeling real world problems. Over the past years, Multigrid solvers have showed their robustness over other techniques, due to its high…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-23 Safaa Kasbah , Issam Damaj , Ramzi Haraty

Ensembling is a powerful technique for improving the accuracy of machine learning models, with methods like stacking achieving strong results in tabular tasks. In time series forecasting, however, ensemble methods remain underutilized, with…

Machine Learning · Computer Science 2025-11-20 Nathanael Bosch , Oleksandr Shchur , Nick Erickson , Michael Bohlke-Schneider , Caner Türkmen

Forecasting future weather and climate is inherently difficult. Machine learning offers new approaches to increase the accuracy and computational efficiency of forecasts, but current methods are unable to accurately model uncertainty in…

Machine Learning · Computer Science 2023-02-02 Yusuke Hatanaka , Yannik Glaser , Geoff Galgon , Giuseppe Torri , Peter Sadowski
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