English
Related papers

Related papers: Validation of a PETSc based software implementing …

200 papers

Modeling structure and behavior of software systems plays a crucial role in the industrial practice of software engineering. As with other software engineering artifacts, software models are subject to evolution. Supporting modelers in…

Software Engineering · Computer Science 2026-01-21 Christof Tinnes , Alisa Welter , Sven Apel

Shape-morphing solutions (also known as evolutional deep neural networks, reduced-order nonlinear solutions, and neural Galerkin schemes) are a new class of methods for approximating the solution of time-dependent partial differential…

Numerical Analysis · Mathematics 2025-04-08 Zachary T. Hilliard , Mohammad Farazmand

Software systems are complex, and behavioral comprehension with the increasing amount of AI components challenges traditional testing and maintenance strategies.The lack of tools and methodologies for behavioral software comprehension…

Software Engineering · Computer Science 2019-12-19 Hannes Thaller , Lukas Linsbauer , Rudolf Ramler , Alexander Egyed

Data assimilation, consisting in the combination of a dynamical model with a set of noisy and incomplete observations in order to infer the state of a system over time, involves uncertainty in most settings. Building upon an existing…

Machine Learning · Computer Science 2026-03-02 Anthony Frion , David S Greenberg

Data Assimilation (DA) is a methodology for combining mathematical models simulating complex systems (the background knowledge) and measurements (the reality or observational data) in order to improve the estimate of the system state. This…

Numerical Analysis · Mathematics 2019-01-15 Luisa D'Amore , Rosalba Cacciapuoti

There is an urgent need to build models to tackle Indoor Air Quality issue. Since the model should be accurate and fast, Reduced Order Modelling technique is used to reduce the dimensionality of the problem. The accuracy of the model, that…

The weather and climate domains are undergoing a significant transformation thanks to advances in AI-based foundation models such as FourCastNet, GraphCast, ClimaX and Pangu-Weather. While these models show considerable potential, they are…

Machine Learning · Computer Science 2024-07-18 Junqi Yin , Siming Liang , Siyan Liu , Feng Bao , Hristo G. Chipilski , Dan Lu , Guannan Zhang

Several cardiovascular diseases are caused from localised abnormal blood flow such as in the case of stenosis or aneurysms. Prevailing theories propose that the development is caused by abnormal wall-shear stress in focused areas.…

Optimization and Control · Mathematics 2016-07-12 S. W. Funke , M. Nordaas , Øyvind Evju , M. S. Alnæs , K. -A. Mardal

AI emulators for forecasting have emerged as powerful tools that can outperform conventional numerical predictions. The next frontier is to build emulators for long climate simulations with skill across a range of spatiotemporal scales, a…

Atmospheric and Oceanic Physics · Physics 2025-06-03 Surya Dheeshjith , Adam Subel , Alistair Adcroft , Julius Busecke , Carlos Fernandez-Granda , Shubham Gupta , Laure Zanna

Deep convolutional neural networks have made outstanding contributions in many fields such as computer vision in the past few years and many researchers published well-trained network for downloading. But recent studies have shown serious…

Cryptography and Security · Computer Science 2021-04-12 Xiquan Guan , Huamin Feng , Weiming Zhang , Hang Zhou , Jie Zhang , Nenghai Yu

In this study, we conduct parameter estimation analysis on a data assimilation algorithm for two turbulence models: the simplified Bardina model and the Navier-Stokes-{\alpha} model. Our approach involves creating an approximate solution…

Fluid Dynamics · Physics 2024-09-06 Debora A. F. Albanez , Maicon Jose Benvenutti , Samuel Little , Jing Tian

This study develops a hybrid ensemble-variational approach for solving data assimilation problems. The method, called TR-4D-EnKF, is based on a trust region framework and consists of three computational steps. First an ensemble of model…

Numerical Analysis · Computer Science 2015-02-03 Elias D. Nino , Adrian Sandu

Watershed models such as the Soil and Water Assessment Tool (SWAT) consist of high-dimensional physical and empirical parameters. These parameters need to be accurately calibrated for models to produce reliable predictions for streamflow,…

Machine Learning · Computer Science 2021-10-08 M. K. Mudunuru , K. Son , P. Jiang , X. Chen

Identifying coherent spatiotemporal patterns generated by complex dynamical systems is a central problem in many science and engineering disciplines. Here, we combine ideas from the theory of operator-valued kernels with delay-embedding…

Data Analysis, Statistics and Probability · Physics 2018-05-24 Dimitrios Giannakis , Joanna Slawinska , Abbas Ourmazd , Zhizhen Zhao

Autonomous underwater vehicles (AUVs) are sophisticated robotic platforms crucial for a wide range of applications. The accuracy of AUV navigation systems is critical to their success. Inertial sensors and Doppler velocity logs (DVL) fusion…

Robotics · Computer Science 2025-12-16 Guy Damari , Itzik Klein

Numerical modeling of the intensity and evolution of flood events are affected by multiple sources of uncertainty such as precipitation and land surface conditions. To quantify and curb these uncertainties, an ensemble-based simulation and…

Geophysics · Physics 2023-02-17 Junyu Wei , Xiangyu Luo , Weihong Liao , Xiaohui Lei , Jianshi Zhao , Haocheng Huang , Hao Wang

Software watermarking involves embedding a unique identifier or, equivalently, a watermark value within a software to prove owner's authenticity and thus to prevent or discourage copyright infringement. Towards the embedding process,…

Multimedia · Computer Science 2014-03-27 Ioannis Chionis , Maria Chroni , Stavros D. Nikolopoulos

The amount of energy consumed during the execution of software, and the ability to predict future consumption, is an important factor in the design of embedded electronic systems. In this technical report I examine factors in the execution…

Software Engineering · Computer Science 2014-11-11 Jeremy Morse

In this work, we take a modern high-resolution finite-volume scheme for solving the rotational shallow-water equations and extend it with features required to run real-world ocean simulations. Our contributions include a spatially varying…

Computational Physics · Physics 2019-12-06 André R. Brodtkorb , Håvard Heitlo Holm

For many years, strongly and weakly constrained approaches were the only options to deal with errors in four-dimensional variational data assimilation (4DVar), with the aim of balancing the degrees of freedom and model constraints. Strong…

Atmospheric and Oceanic Physics · Physics 2022-12-21 Xiangjun Tian , Hongqin Zhang , Zhe Jin , Min Zhao , Yilong Wang , Yinhai Luo , Ziqing Zhang , Yanyan Tan