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We present an approach for flux analysis in process algebra models of biological systems. We perceive flux as the flow of resources in stochastic simulations. We resort to an established correspondence between event structures, a broadly…

Computational Engineering, Finance, and Science · Computer Science 2010-02-23 Ozan Kahramanoğullari

Determining the maximum demand a water distribution network can satisfy is crucial for ensuring reliable supply and planning network expansion. This problem, typically formulated as a mixed-integer nonlinear program (MINLP), is…

Optimization and Control · Mathematics 2026-01-13 Sai Krishna Kanth Hari , Russell Bent

Renormalization group methods are well-established tools for the (numerical) investigation of the low-energy properties of correlated quantum many-body systems, allowing to capture their scale-dependent nature. The functional…

Strongly Correlated Electrons · Physics 2022-06-09 Dominik Kiese , Tobias Mueller , Yasir Iqbal , Ronny Thomale , Simon Trebst

Discrete Fracture Network models are largely used for very large scale geological flow simulations. For this reason numerical methods require an investigation of tools for efficient parallel solutions on High Performance Computing systems.…

Numerical Analysis · Mathematics 2021-06-21 Stefano Berrone , Alice Raeli

This article describes lcpy, an open-source python package that allows for advanced parametric Life Cycle Assessment (LCA) and Life Cycle Costing (LCC) analysis. The package is designed to allow the user to model a process with a flexible,…

Emerging Technologies · Computer Science 2025-06-17 Spiros Gkousis , Evina Katsou

Computer programming textbooks and software documentations often contain flowcharts to illustrate the flow of an algorithm or procedure. Modern OCR engines often tag these flowcharts as graphics and ignore them in further processing. In…

Computer Vision and Pattern Recognition · Computer Science 2025-01-30 Shreya Shukla , Prajwal Gatti , Yogesh Kumar , Vikash Yadav , Anand Mishra

Massively parallel Fourier transforms are widely used in computational sciences, and specifically in computational fluid dynamics which involves unbounded Poisson problems. In practice the latter is usually the most time-consuming operation…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-22 Pierre Balty , Philippe Chatelain , Thomas Gillis

We present a methodology for numerically integrating ordinary differential equations containing rapidly oscillatory terms. This challenge is distinct from that for differential equations which have rapidly oscillatory solutions: here the…

Numerical Analysis · Mathematics 2013-05-23 J. E. Bunder , A. J. Roberts

A finite-volume method for the one-dimensional shallow-water equations including topographic source terms is presented. Exploiting an original idea by Leroux, the system of partial-differential equations is completed by a trivial equation…

Numerical Analysis · Mathematics 2025-10-20 Abdou Wahidi Bello

Partial differential equations describing the dynamics of physical systems rarely have closed-form solutions. Fourier spectral methods, which use Fast Fourier Transforms (FFTs) to approximate solutions, are a common approach to solving…

Predictive constitutive equations that connect easy-to-measure transport properties (e.g., viscosity and conductivity) with system performance variables (e.g., power consumption and efficiency) are needed to design advanced thermal and…

We calculate renormalization group flow equations for the linear sigma-model in large N_c approximation. The flow equations decouple and can be solved analytically. The solution is equal to a self consistent solution of the NJL model in the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Meyer , K. Schwenzer , H. -J. Pirner , A. Deandrea

We use a novel parameterization of the flowing Hamiltonian to show that the flow equations based on continuous unitary transformations, as proposed by Wegner, can be implemented through a nonlinear partial differential equation involving…

Other Condensed Matter · Physics 2015-06-24 J. N. Kriel , A. Y. Morozov , F. G. Scholtz

PySymmPol is a Python package designed for efficient manipulation of symmetric polynomials. It provides functionalities for working with various types of symmetric polynomials, including elementary, homogeneous, monomial symmetric, (skew-)…

Combinatorics · Mathematics 2024-06-03 Thiago Araujo

Large databases such as aflowlib.org provide valuable data sources for discovering material trends through machine learning. Although a REST API and query language are available, there is a learning curve associated with the AFLUX language…

Databases · Computer Science 2017-10-03 Conred W. Rosenbrock

This paper introduces Eilmer, a general-purpose open-source compressible flow solver developed at the University of Queensland, designed to support research calculations in hypersonics and high-speed aerothermodynamics. Eilmer has a broad…

Computational Engineering, Finance, and Science · Computer Science 2022-10-06 Nicholas N. Gibbons , Kyle A. Damm , Peter A. Jacobs , Rowan J. Gollan

In this work, we obtain the numerical temperature field to a thermally developing fluid flow inside parallel plates problem with a quantum computing method. The physical problem deals with the heat transfer of a steady state,…

HolPy is an interactive theorem proving system implemented in Python. It uses higher-order logic as the logical foundation. Its main features include a pervasive use of macros in producing, checking, and storing proofs, a JSON-based format…

Logic in Computer Science · Computer Science 2020-01-28 Bohua Zhan

We present a family of Python modules for the numerical integration of ordinary, delay, or stochastic differential equations. The key features are that the user enters the derivative symbolically and it is just-in-time-compiled, allowing…

Mathematical Software · Computer Science 2018-04-25 Gerrit Ansmann

ALHEP is the symbolic algebra program for high-energy physics. It deals with amplitudes calculation, matrix element squaring, Wick theorem, dimensional regularization, tensor reduction of loop integrals and simplification of final…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Makarenko
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