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Discretization is a fundamental step in numerical analysis for the problems described by differential equations, and the difference between the continuous model and discrete model is one of the most important problems. In this paper, we…

Analysis of PDEs · Mathematics 2020-09-03 Fumihiko Hirosawa

Budgeted uncertainty sets have been established as a major influence on uncertainty modeling for robust optimization problems. A drawback of such sets is that the budget constraint only restricts the global amount of cost increase that can…

Optimization and Control · Mathematics 2020-08-28 Marc Goerigk , Stefan Lendl

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

Methodology · Statistics 2019-10-02 Behnaz Pirzamanbein

Being fundamentally a non-equilibrium process, synchronization comes with unavoidable energy costs and has to be maintained under the constraint of limited resources. Such resource constraints are often reflected as a finite coupling budget…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Yuanzhao Zhang , Steven H. Strogatz

Renewable energies are deployed worldwide to mitigate climate change and push power systems towards sustainability. However, the weather-dependent nature of renewable energy sources often hinders their integration to national grids.…

Physics and Society · Physics 2020-02-24 Fausto A. Canales , Jakub Jurasz , Alexandre Beluco , Alexander Kies

Achieving decarbonization across energy sectors requires demand-side transformation such as behavioural changes and end-use efficiency improvements to complement supply-side technological shifts. However, changing consumption patterns is…

Physics and Society · Physics 2025-08-07 Parisa Rahdan , Mirko Schäfer , Ana Belén Cristóbal López , Marta Victoria

The consensus of opinion in cosmology is that the Universe is currently undergoing a period of accelerated expansion. With current and proposed high precision experiments it offers the hope of being able to discriminate between the two…

Astrophysics · Physics 2011-02-09 P. S. Corasaniti , E. J. Copeland

In this work, we mainly present the optimal convergence rates of the temporally second-order finite element scheme for solving the electrohydrodynamic equation. Suffering from the highly coupled nonlinearity, the convergence analysis of the…

Numerical Analysis · Mathematics 2025-05-06 Shengfeng Wang , Zeyu Xia , Maojun Li

The successful application of modern machine learning for time series classification is often hampered by limitations in quality and quantity of available training data. To overcome these limitations, available domain expert knowledge in…

Machine Learning · Computer Science 2025-02-07 Janis Norden , Elisa Oostwal , Michael Chappell , Peter Tino , Kerstin Bunte

The residential electrical energy scheduling of solar Photovoltaics (PV) is an important research area of the modern green buildings. On the demand side, factors such as building load, and the renewable PV energy resources are integrated…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Sara Zainaa , Shima Sadaf , Ansaruddin Kunjuc , Mohammad Meraj , Devrim Unal , Farid Touati

Motivated by the design question of additional fuel needed to complete a task in an uncertain environment, this paper introduces metrics to quantify the maximal additional energy used by a control system in the presence of bounded…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Ram Padmanabhan , Craig Bakker , Siddharth Abhijit Dinkar , Melkior Ornik

The efficient placement of wind turbines relies on accurate local wind speed forecasts. Climate projections provide valuable insight into long-term wind speed conditions, yet their spatial data resolution is typically insufficient for…

Applications · Statistics 2024-07-12 Luca Schmidt , Nicole Ludwig

In the past decades, clean and renewable energy has gained increasing attention due to a global effort on carbon footprint reduction. In particular, Saudi Arabia is gradually shifting its energy portfolio from an exclusive use of oil to a…

Machine Learning · Statistics 2024-12-11 Kesen Wang , Minwoo Kim , Stefano Castruccio , Marc G. Genton

This paper investigates the effects of network constraints in energy system models at transmission level on renewable energy generation and curtailment as the network is being spatially aggregated. We seek to reproduce historically measured…

Physics and Society · Physics 2020-10-20 Martha Frysztacki , Tom Brown

In this article, we investigate mismatch of renewable electricity production to demand and how this is affected by flexibility options on the supply side. We assess the impact of spatial and temporal smoothing on reliability of production…

Optimization and Control · Mathematics 2023-12-15 Aleksander Grochowicz , Fred Espen Benth , Marianne Zeyringer

We study a simple scheduling game for the speed scaling model. Players want their job to complete early, which however generates a big energy consumption. We address the game from the mechanism design side, and by charging the energy usage…

Computer Science and Game Theory · Computer Science 2013-01-01 Oscar C. Vásquez

The need for rigorous and timely health and demographic summaries has provided the impetus for an explosion in geographic studies, with a common approach being the production of pixel-level maps, particularly in low and middle income…

Methodology · Statistics 2019-10-16 John Paige , Geir-Arne Fuglstad , Andrea Riebler , Jon Wakefield

The growing share of renewable energy makes the optimization of power flows in power system models computationally more complicated, due to the widely distributed weather-dependent electricity generation. This article evaluates two methods…

Systems and Control · Electrical Eng. & Systems 2020-02-26 Oriol Raventós , Julian Bartels

Deep learning methods achieve remarkable predictive performance in modeling complex, large-scale data. However, assessing the quality of derived models has become increasingly challenging, as more classical statistical assumptions may no…

Machine Learning · Statistics 2026-03-02 Daniele Zambon , Cesare Alippi

This study presents a spatiotemporal dual Bayesian model that examines both the occurrence and number of conflict fatalities using event-level data from Ethiopia (1997-2024), sourced from the Armed Conflict Location and Event Data (ACLED)…

Applications · Statistics 2025-11-04 Yassin Tesfaw Abebe , Abdu Mohammed Seid , Lassi Roininen , Mohammed Seid Ali