Search results for "Computer Science - Mathematical Software"

showing 4 items of 4 documents

Towards new solutions for scientific computing: the case of Julia

2018

This year marks the consolidation of Julia (https://julialang.org/), a programming language designed for scientific computing, as the first stable version (1.0) has been released, in August 2018. Among its main features, expressiveness and high execution speeds are the most prominent: the performance of Julia code is similar to statically compiled languages, yet Julia provides a nice interactive shell and fully supports Jupyter; moreover, it can transparently call external codes written in C, Fortran, and even Python and R without the need of wrappers. The usage of Julia in the astronomical community is growing, and a GitHub organization named JuliaAstro takes care of coordinating the devel…

Computer Science - Mathematical SoftwareAstrophysics - Instrumentation and Methods for Astrophysics
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Array programming with NumPy.

2020

Array programming provides a powerful, compact and expressive syntax for accessing, manipulating and operating on data in vectors, matrices and higher-dimensional arrays. NumPy is the primary array programming library for the Python language. It has an essential role in research analysis pipelines in fields as diverse as physics, chemistry, astronomy, geoscience, biology, psychology, materials science, engineering, finance and economics. For example, in astronomy, NumPy was an important part of the software stack used in the discovery of gravitational waves1 and in the first imaging of a black hole2. Here we review how a few fundamental array concepts lead to a simple and powerful programmi…

FOS: Computer and information sciences/639/705/1042Computer science/639/705/794Interoperability/639/705/117Review ArticleStatistics - Computationohjelmointikielet01 natural sciences03 medical and health sciencesSoftwareSoftware Designlaskennallinen tiede0103 physical sciencesFOS: Mathematics010303 astronomy & astrophysicsComputation (stat.CO)030304 developmental biologycomputer.programming_languageSolar physics0303 health sciencesMultidisciplinaryApplication programming interfacebusiness.industryNumPyComputational sciencereview-articleComputational BiologyPython (programming language)Computer science/704/525/870Computational neuroscienceProgramming paradigmSoftware designComputer Science - Mathematical Software/631/378/116/139Programming LanguagesArray programmingohjelmistokirjastotSoftware engineeringbusinessMathematical Software (cs.MS)computerMathematicsSoftwarePythonNature
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RationalizeRoots: Software Package for the Rationalization of Square Roots

2019

The computation of Feynman integrals often involves square roots. One way to obtain a solution in terms of multiple polylogarithms is to rationalize these square roots by a suitable variable change. We present a program that can be used to find such transformations. After an introduction to the theoretical background, we explain in detail how to use the program in practice.

FOS: Computer and information sciencesComputer Science - Symbolic ComputationHigh Energy Physics - TheoryHigh energy particleFeynman integralComputationGeneral Physics and AstronomyFOS: Physical sciencesengineering.materialSymbolic Computation (cs.SC)Rationalization (economics)01 natural sciences010305 fluids & plasmasHigh Energy Physics - Phenomenology (hep-ph)Square root0103 physical sciencesComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONAlgebraic number010306 general physicsMathematical PhysicsVariable (mathematics)MapleMathematical Physics (math-ph)AlgebraHigh Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)Hardware and ArchitectureengineeringComputer Science - Mathematical SoftwareMathematical Software (cs.MS)
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Fast MATLAB assembly of FEM matrices in 2D and 3D: Edge elements

2014

We propose an effective and flexible way to assemble finite element stiffness and mass matrices in MATLAB. We apply this for problems discretized by edge finite elements. Typical edge finite elements are Raviart-Thomas elements used in discretizations of H(div) spaces and Nedelec elements in discretizations of H(curl) spaces. We explain vectorization ideas and comment on a freely available MATLAB code which is fast and scalable with respect to time.

FOS: Computer and information sciencesDiscretizationfinite element method97N80 65M60Matlab codeComputational scienceMathematics::Numerical AnalysisMATLAB code vectorizationmedicineFOS: MathematicsMathematics - Numerical AnalysisMATLABMathematicscomputer.programming_languageCurl (mathematics)ta113Nédélec elementApplied Mathematicsta111StiffnessRaviart–Thomas elementMixed finite element methodNumerical Analysis (math.NA)Finite element methodComputational Mathematicsedge elementScalabilityComputer Science - Mathematical Softwaremedicine.symptomcomputerMathematical Software (cs.MS)
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