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GRTensorJ - Books is an active interface to a small part of the computer algebra systems GRTensorII (for Maple) and GRTensorM (for Mathematica) with the specific intent of providing students of General Relativity with an advanced…

物理教育 · 物理学 2007-05-23 Kayll Lake

This article presents some aspects and experience in the use of algebraic manipulation software applied to general relativity. Some years ago certain results were reported using computer algebra platforms, but the growing popularity of…

计算物理 · 物理学 2022-06-01 Víctor Medina

Algebraic computing in relativity and gravitation dates back more than thirty years, but only relatively recently has hardware of sufficient power to tackle large scale calculations become commonplace. Whereas it is generally understood…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Kayll Lake

In this article we propose some Maple procedures, for teaching purposes, to study the basics of General Relativity (GR) and Cosmology. After presenting some features of GRTensorII, a package specially built to deal with GR, we give two…

广义相对论与量子宇宙学 · 物理学 2016-04-15 Ciprian A. Sporea , Dumitru N. Vulcanov

The article mainly presents some results in using MAPLE platform for computer algebra and GrTensorII package in doing calculations for theoretical and numerical cosmology

符号计算 · 计算机科学 2007-05-23 Dumitru N. Vulcanov , Valentina D. Vulcanov

We introduce a graphical user interface for constructing arbitrary tensor networks and specifying common operations like contractions or splitting, denoted GuiTeNet. Tensors are represented as nodes with attached legs, corresponding to the…

数学软件 · 计算机科学 2020-12-17 Lisa Sahlmann , Christian B. Mendl

We describe a new interactive database (GRDB) of geometric objects in the general area of differential geometry. Database objects include, but are not restricted to, exact solutions of Einstein's field equations. GRDB is designed for…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Mustapha Ishak , Kayll Lake

A brief characteristic of the specialized computer algebra system GRG_EC intended for symbolic computations in the field of general relativity is given.

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. Tertychniy

TensorKit.jl is a Julia-based software package for tensor computations, especially focusing on tensors with internal symmetries. This paper introduces the design philosophy, core functionalities, and distinctive features, including how to…

数学软件 · 计算机科学 2025-08-15 Lukas Devos , Jutho Haegeman

We present OGRe, a modern Mathematica package for tensor calculus, designed to be both powerful and user-friendly. The package can be used in a variety of contexts where tensor calculations are needed, in both mathematics and physics, but…

数学软件 · 计算机科学 2025-12-29 Barak Shoshany

In this paper we introduce Redberry --- an open source computer algebra system with native support of tensorial expressions. It provides basic computer algebra tools (algebraic manipulations, substitutions, basic simplifications etc.) which…

符号计算 · 计算机科学 2015-01-07 D. A. Bolotin , S. V. Poslavsky

This paper presents a brief but comprehensive introduction to certain mathematical techniques in General Relativity. Familiar mathematical procedures are investigated taking into account the complications of introducing a non trivial…

数学物理 · 物理学 2008-11-06 Andrew DeBenedictis

This article documents the free computer algebra system "gTybalt". The program is build on top of other packages, among others GiNaC, TeXmacs and Root. It offers the possibility of interactive symbolic calculations within the C++…

符号计算 · 计算机科学 2008-11-26 Stefan Weinzierl

Theorema 2.0 stands for a re-design including a complete re-implementation of the Theorema system, which was originally designed, developed, and implemented by Bruno Buchberger and his Theorema group at RISC. In this paper, we present the…

数学软件 · 计算机科学 2013-07-09 Wolfgang Windsteiger

We introduce the MathGR package, written in Mathematica. The package can manipulate tensor and GR calculations with either abstract or explicit indices, simplify tensors with permutational symmetries, decompose tensors from abstract indices…

数学软件 · 计算机科学 2016-12-08 Yi Wang

The computer programs most users interact with daily are driven by a graphical user interface (GUI). However, many scientific applications are used with a command line interface (CLI) for the ease of development and increased flexibility…

人机交互 · 计算机科学 2008-06-03 N. C. Manoukis , E. C. Anderson

The article presents some aspects on the use of computer in teaching general relativity for undergraduate students with some experience in computer manipulation. The article presents some simple algebraic programming (in REDUCE+EXCALC…

物理教育 · 物理学 2007-05-23 Florin A. Ghergu , Dumitru N. Vulcanov

We give a pedagogical introduction of the essential features of General Theory of Relativity (GTR) in the format of an undergraduate (UG) project. A set of simple MATHEMATICA code is developed which enables the UG students to calculate the…

广义相对论与量子宇宙学 · 物理学 2020-09-15 Tushar Kanti Dey , Surajit Sen

We present Gravity.jl, a new software for the modeling of gravitational lens systems. Gravity.jl is written in the Julia programming language, and is designed to be fast, accurate, and flexible. It can be used to model gravitational lens…

天体物理仪器与方法 · 物理学 2024-10-23 Marco Lombardi

The software tool GRworkbench is an ongoing project in visual, numerical General Relativity at The Australian National University. Recently, GRworkbench has been significantly extended to facilitate numerical experimentation in…

广义相对论与量子宇宙学 · 物理学 2016-11-09 A. Moylan , S. M. Scott , A. C. Searle
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