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We consider a new approach to generate tests from natural language. Rather than relying on machine learning or templated extraction from structured comments, we propose to apply classic ideas from linguistics to translate natural-language…

Software Engineering · Computer Science 2022-02-14 Colin S. Gordon

In this paper, we introduce a novel framework for combining scientific knowledge within physics-based models and recurrent neural networks to advance scientific discovery in many dynamical systems. We will first describe the use of outputs…

Machine Learning · Computer Science 2018-10-09 Xiaowei Jia , Anuj Karpatne , Jared Willard , Michael Steinbach , Jordan Read , Paul C Hanson , Hilary A Dugan , Vipin Kumar

The area of graph property testing seeks to understand the relation between the global properties of a graph and its local statistics. In the classical model, the local statistics of a graph is defined relative to a uniform distribution…

Combinatorics · Mathematics 2021-09-29 Lior Gishboliner , Asaf Shapira

One of the most important topics in geophysics is to study convection in a sea. Based on the algebraic characteristics of the equations of dynamic convection in a sea, we introduce various schemes with multiple parameter functions to solve…

Mathematical Physics · Physics 2008-12-11 Xiaoping Xu

In this paper we introduce the concept of Direct Statistical Simulation (DSS) for astrophysical flows. This technique may be appropriate for problems in astrophysical fluids where the instantaneous dynamics of the flows are of secondary…

Solar and Stellar Astrophysics · Physics 2011-01-17 S. M. Tobias , K. Dagon , J. B. Marston

In this article, we introduce a moving-frame approach to the geophysical equation of two-dimensional uniformly stratified rotational fluid in oceans and find a family of exact solutions containing ten arbitrary parameter functions.

Fluid Dynamics · Physics 2013-06-18 Xiaoping Xu

This article provides a survey on some main results and recent developments in the mathematical theory of water waves. More precisely, we briefly discuss the mathematical modeling of water waves and then we give an overview of local and…

History and Overview · Mathematics 2018-05-17 Wolf-Patrick Düll

Models for fluid deformable surfaces provide valid theories to describe the dynamics of thin fluidic sheets of soft materials. To use such models in morphogenesis and development requires to incorporate active forces. We consider active…

Mathematical Physics · Physics 2024-08-20 Maik Porrmann , Axel Voigt

This paper discusses a model-based approach to testing as a vital part of software development. It argues that an approach using models as central development artifact needs to be added to the portfolio of software engineering techniques,…

Software Engineering · Computer Science 2014-09-24 Bernhard Rumpe

This work is concerned with a simple model for a polar fluid, a Gaussian field model based on the excess density and on the polarization. It is a convenient framework to implement the dielectric properties of correlated liquids that stem…

Chemical Physics · Physics 2018-04-04 Hélène Berthoumieux

The complexity of comprehensive ocean models poses an important question for parameterisations: is there a minimum set of equations that should be parameterised, on the one hand, to reduce the development to a minimum, and, on the other…

Atmospheric and Oceanic Physics · Physics 2021-11-24 Igor Shevchenko , Pavel Berloff

Simulating oil transport in the ocean can be done successfully provided that accurate ocean currents and surface winds are available -- this is often too big of a challenge. Deficient ocean currents can sometimes be remediated by…

Atmospheric and Oceanic Physics · Physics 2021-06-18 Rodrigo Duran , Tor Nordam , Mattia Serra , Chris Barker

The impact of statistical methodologies on studying groundwater has been significant in the last several decades, due to cheaper computational abilities and presence of technologies that enable us to extract and measure more and more data.…

Applications · Statistics 2025-06-02 Muralidharan K. , Agniva Das , Shrey Pandya , Jong Min Kim

The harsh ocean environment and complex operating condition require high dynamic positioning (DP) capability of offshore vessel. The design, development and performance evaluation of DP system are generally carried out by numerical…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Changjun Hu , Quan Shi , Xin Li , Xiaoxian Guo

Data-driven, deep-learning modeling frameworks have been recently developed for forecasting time series data. Such machine learning models may be useful in multiple domains including the atmospheric and oceanic ones, and in general, the…

Machine Learning · Computer Science 2025-12-02 Ellery Rajagopal , Anantha N. S. Babu , Tony Ryu , Patrick J. Haley , Chris Mirabito , Pierre F. J. Lermusiaux

Machine-learning models are becoming increasingly prevalent in our lives, for instance assisting in image-classification or decision-making tasks. Consequently, the reliability of these models is of critical importance and has resulted in…

Machine Learning · Computer Science 2022-06-14 Maria Christakis , Hasan Ferit Eniser , Jörg Hoffmann , Adish Singla , Valentin Wüstholz

Here I discuss some implicit assumptions of modern hydrodynamic models and argue that their accuracy cannot be better than 10-15 %. Then I formulate the correct conservation laws for the fluid emitting particles from an arbitrary freeze-out…

High Energy Physics - Phenomenology · Physics 2009-06-12 K. A. Bugaev

In this paper we analyze the use of time splitting techniques for solving shallow water equation. We discuss some properties that these schemes should satisfy so that interactions between the source term and the shock waves are controlled.…

Numerical Analysis · Mathematics 2016-11-26 Vicente Martínez

Magnetohydrodynamic (MHD) wave activity is ubiquitous in the solar atmosphere. MHD seismology aims to determine difficult to measure physical parameters in solar atmospheric magnetic and plasma structures by a combination of observed and…

Solar and Stellar Astrophysics · Physics 2015-06-04 Inigo Arregui

Quantum fluid (or hydrodynamic) models provide an attractive alternative for the modeling and simulation of the electron dynamics in nano-scale objects. Compared to more standard approaches, such as density functional theory or phase-space…

Quantum Physics · Physics 2021-10-12 Giovanni Manfredi , Paul-Antoine Hervieux , Jérôme Hurst