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The gradient scheme framework is based on a small number of properties and encompasses a large number of numerical methods for diffusion models. We recall these properties and develop some new generic tools associated with the gradient…

数值分析 · 数学 2015-11-10 Jerome Droniou , Robert Eymard , Raphaele Herbin

Game level editing is the process of constructing a full game level starting from 3D asset libraries, e.g. 3d models, textures, shaders, scripts. In level editing, designers define the look and behavior of the whole level by placing…

图形学 · 计算机科学 2016-03-03 Christian Santoni , Gabriele Salvati , Valentina Tibaldo , Fabio Pellacini

ML4Chem is an open-source machine learning library for chemistry and materials science. It provides an extendable platform to develop and deploy machine learning models and pipelines and is targeted to the non-expert and expert users.…

化学物理 · 物理学 2020-03-31 Muammar El Khatib , Wibe A de Jong

Nonlinear mixed effects modeling is a powerful tool when analyzing data from several entities in an experiment. In this paper, we present NLMEModeling, a package for mixed effects modeling in Wolfram Mathematica. NLMEModeling supports mixed…

统计计算 · 统计学 2020-11-16 Jacob Leander , Joachim Almquist , Anna Johnning , Julia Larsson , Mats Jirstrand

We present work flows and a software module for machine learning model building in surface science and heterogeneous catalysis. This includes fingerprinting atomic structures from 3D structure and/or connectivity information, it includes…

FLAME is a software package to perform a wide range of atomistic simulations for exploring the potential energy surfaces (PES) of complex condensed matter systems. The range of methods include molecular dynamics simulations to sample free…

For many applications, we need to use techniques to represent convex shapes and objects. In this work, we use level set method to represent shapes and find a necessary and sufficient condition on the level set function to guarantee the…

数值分析 · 数学 2018-11-13 Shousheng Luo , Xue-cheng Tai

A statistical model is a mathematical representation of an often simplified or idealised data-generating process. In this paper, we focus on a particular type of statistical model, called linear mixed models (LMMs), that is widely used in…

统计方法学 · 统计学 2020-01-23 Emi Tanaka , Francis K. C. Hui

We introduce the nivel2 software for multi-level modelling. Multi-level modelling is a modelling paradigm where a model element may be simultaneously a type for and an instance of other elements under some constraints. This contrasts…

软件工程 · 计算机科学 2023-03-23 Timo Asikainen , Tomi Männistö , Eetu Huovila

The Simulation Environment for Atomistic and Molecular Modeling (SEAMM) is an open-source software package written in Python that provides a graphical interface for setting up, executing, and analyzing molecular and materials simulations.…

We offer an insight into our mathematical endeavors, which aim to advance the foundational understanding of energy systems in a broad context, encompassing facets such as charge transport, energy storage, markets, and collective behavior.…

综合数学 · 数学 2024-12-30 Nicklas Jävergård , Grigor Nika , Adrian Muntean

Large Language Models (LLMs) are increasingly being adopted as tools for learning; however, most tools remain text-only, limiting their usefulness for domains where visualizations are essential, such as mathematics. Recent work shows that…

人工智能 · 计算机科学 2025-11-12 Vishal Kumar , Shubhra Mishra , Rebecca Hao , Rizwaan Malik , David Broman , Dorottya Demszky

CalcHEP is a package for computation of Feynman diagrams and integration over multi-particle phase space. The main idea prescribed into CalcHEP is to make available passing on from Lagrangians to the final distributions effectively with a…

高能物理 - 唯象学 · 物理学 2009-10-21 Alexander Pukhov

This article introduces a software package release for geometrically reasoning about the \textit{safety} desiderata of (complex) dynamical systems via level set methods. In emphasis, safety is analyzed with Hamilton-Jacobi equations. In…

数学软件 · 计算机科学 2025-07-17 Lekan Molu

Structural equation modeling (SEM) is a popular tool in the social and behavioural sciences, where it is being applied to ever more complex data types. The high-dimensional data produced by modern sensors, brain images, or (epi)genetic…

统计方法学 · 统计学 2019-10-11 Erik-Jan van Kesteren , Daniel L. Oberski

Shape optimization involves the minimization of a cost function defined over a set of shapes, often governed by a partial differential equation (PDE). In the absence of closed-form solutions, one relies on numerical methods to approximate…

数值分析 · 数学 2025-02-21 Eloi Martinet , Leon Bungert

This work introduces a new software package `Sesame' for the numerical computation of classical semiconductor equations. It supports 1 and 2-dimensional systems and provides tools to easily implement extended defects such as grain…

应用物理 · 物理学 2019-05-01 Benoit Gaury , Yubo Sun , Peter Bermel , Paul M. Haney

Many interfacial phenomena in physical and biological systems are dominated by high order geometric quantities such as curvature. Here a semi-implicit method is combined with a level set jet scheme to handle stiff nonlinear advection…

数值分析 · 数学 2016-08-22 Guhan Velmurugan , Ebrahim M. Kolahdouz , David Salac

Graphs are central to the chemical sciences, providing a natural language to describe molecules, proteins, reactions, and industrial processes. They capture interactions and structures that underpin materials, biology, and medicine. This…

In software engineering processes, systems are first specified using a modeling language such as UML. These initial designs are often collaboratively created, many times in meetings where different domain experts use whiteboards, paper or…

软件工程 · 计算机科学 2024-12-10 Aaron Conrardy , Jordi Cabot
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