Numerical computing software runs calculations on arrays, equations and symbols, from engineering models to statistics and number theory.
This guide ranks thirteen products on setup effort, the real bill once add-ons count, how your scripts and files can leave, and whether you can use the product without a vendor contract.
Vendors can pay for more visibility on this website, for example a higher place in a ranking or more room on a page. Commercial relationships can also affect which products we feature and how prominently. Every vendor link is marked the same, whatever the arrangement behind it. How that works.
In short
What numerical computing software does
Numerical computing software is a language or environment for matrix maths, equation solving, plotting and symbolic algebra, used to build models, analyse data and document calculations.
Our order comes from five tests, taken in turn: effort to set up, what you really pay, what happens to your data on the way out, how locked in you are, and the intended customer. One rule overrides the order: smaller vendors take the first three places when the category offers them, and the best-known brands start at four. Our how we work page explains the choice of these five and why we give no mark out of ten.
Prices not shown on the product page; 30-day trial, then a limited Express version
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Engineering teams already on Creo or Windchill that document calculations in a notebook
Mac or Linux teams and buyers needing a published price list
The country column shows the vendor's headquarters or contracting entity. Data hosting is a separate matter, and an entry flags it when the two diverge.
Scientific programming language with MATLAB-compatible syntax under the GPL licence
Ranked #1 of 13 in Best Numerical Computing Software in 2026.
Free tierOpen sourcePublished pricingElsewhere
The manual chapters cover plotting, sparse matrices, differential equations, optimisation, statistics and audio processing, and a packages chapter explains how to build an add-on with a DESCRIPTION file and an INDEX file.
Compiled code enters through Oct-Files and Mex-Files. A 64-bit linear algebra build exists for Windows, though the page says it only pays off with roughly 32GB of memory. Test each MATLAB script before relying on the compatibility claim.
What stands out
MATLAB syntax
GPL-3.0
Package system
Where it costs you
The download page names no direct macOS installer and points to the wiki, Homebrew and MacPorts instead.
No Python interface is named in the manual, and a list of known unfixed bugs is published there.
Right for
Teams with MATLAB scripts who want to run them without a licence fee
Wrong for
Mac users who want a one-click installer straight from the project
Not stated by the vendorFree software under the GNU GPL; the pages list no price, only a donate link
Fast dynamic language for scientific computing, released under the MIT licence
Ranked #2 of 13 in Best Numerical Computing Software in 2026.
Free tierOpen sourcePublished pricingElsewhere
The downloads page names Julia 1.13.3 as the current stable release and 1.10.13 as the long-term support release, which suits teams that freeze an environment.
Installation runs through the juliaup tool using a curl script on macOS and Linux, or an MSIX installer on Windows. The manual covers multi-threading, distributed computing and calling C and Fortran code. It gives no numeric limits for arrays or memory.
What stands out
MIT licence
Multiple dispatch
Parallel computing
Where it costs you
The community page names no organisation that owns the project, so there is no single party to hold to a service level.
Most numerical features come from separate packages such as DifferentialEquations.jl and JuMP.jl, so the toolset differs from project to project.
Right for
Researchers writing new numerical code who need native speed and parallel computing
Wrong for
Teams wanting a bundled commercial toolbox with one vendor behind it
Not stated by the vendorFree to download under the MIT licence; the project asks for sponsorship, no price listed
Units-aware maths worksheet program with published prices from SMath LLC
Ranked #3 of 13 in Best Numerical Computing Software in 2026.
Published pricingElsewhere
The price list in USD shows an Unlimited 12-month single licence at 564 for one to four licences and a lifetime licence at 1,032, while educational organisations pay 192 and government institutions 456 for the 12-month term.
Floating licences start from five licences, and a local network licence server is an optional extra with no price shown. The interface is translated into about 40 languages. The list says it was compiled in St. Petersburg, Russia.
What stands out
Units of measurement
WYSIWYG editor
Floating licences
Where it costs you
The Personal and Advanced plans cannot be used in organisations, so a company must buy the Unlimited tier, quoted at 9120 USD for 20 seats.
The pages read show no licence for the program's source code, so reuse rights are unclear.
Right for
Engineers documenting unit-aware calculations in readable worksheets on a published price list
Wrong for
Teams needing a programming-first environment for large simulations
RussiaPersonal plan marked free forever; Advanced and Unlimited plans published, with half-yearly and annual billing discounts
Free statistical computing and graphics environment under GPL, backed by CRAN
Ranked #4 of 13 in Best Numerical Computing Software in 2026.
Free tierOpen sourcePublished pricingElsewhere
Release 4.6.2, dated 29 October 2026, is current on the home page, and R compiles and runs on UNIX platforms, Windows and macOS. The licence is GPL-2 or GPL-3 at the user's choice, with some header files under LGPL-2.1.
Extension happens through packages fetched from CRAN mirrors, and related projects include Bioconductor and R-Forge. The programming language has conditionals, loops and user-defined functions, so analysis can be scripted end to end.
What stands out
CRAN packages
Statistical modelling
GPL licence
Where it costs you
The pages read show no paid tier, so a buyer who wants a contract will not find one there.
The CRAN package count carries no date and the statutes page returned an error, so some governance facts stay unchecked.
Right for
Statisticians and analysts who work mainly with models, tests and time series
Wrong for
Engineers who want a bundled model-based design tool from one vendor
Not stated by the vendorFree software under GPL-2 or GPL-3; no paid plan appears on the pages read
Python-based system bundling NumPy, SciPy, Maxima and R under the GPL
Ranked #5 of 13 in Best Numerical Computing Software in 2026.
Free tierPublished pricingElsewhere
The download page offers source labelled stable and devel without naming a version number, plus Docker images on Docker Hub, and the installation guide covers conda-forge binaries for Linux and macOS.
Because it assembles existing packages, one notebook can call Maxima for symbolic work and NumPy for arrays in the same language. A buyer should budget time for the install route, since each platform has a different one.
What stands out
Python-based
Bundles open packages
Runs via CoCalc
Where it costs you
Linux binaries have been discontinued, so Linux users install through conda-forge or from source.
Windows users get no native installer and need WSL.
Right for
Mathematicians who want symbolic, numeric and Python tools combined in one open system
Wrong for
Users who want a one-click native installer on every platform
Not stated by the vendorFree software under the GPL; the pages list only sponsorship and donation links
Open source symbolic and numerical algebra system under the GPL
Ranked #6 of 13 in Best Numerical Computing Software in 2026.
Free tierOpen sourcePublished pricingElsewhere
Interfaces are wxMaxima and XMaxima, which give formatted mathematical output, and a browser version is built as maxima-on-wasm. On macOS the page gives MacPorts and Homebrew commands, and on Linux tarballs, RPM packages, distribution packages and a snap of wxMaxima.
The last Windows installer that runs on Windows 7 is 5.45.1. The manual introduction shows plot2d and plot3d examples but lists no supported Lisp implementations, so check that before depending on it for long runs.
What stands out
Symbolic algebra
wxMaxima
Browser version
Where it costs you
The download page admits that winget, Chocolatey and distribution builds can trail the current release.
The manual introduction states no numeric or precision limits, so capacity has to be tested.
Right for
Students and engineers who need exact symbolic algebra and calculus without a licence
Wrong for
Teams wanting a vendor-run service with named support terms
Not stated by the vendorFree source code under the GPL; no price or cost is stated on the download page
Number theory computer algebra system developed at the University of Bordeaux
Ranked #7 of 13 in Best Numerical Computing Software in 2026.
Free tierPublished pricingElsewhere
Stable version 2.19.0 is dated 28 September 2026, with a daily development snapshot built from the master branch. The 5.3 MB source tarball sits beside Windows installers, macOS images for Apple silicon and Intel, and an Android APK.
The project credits CNRS, Inria and University of Bordeaux clusters for funding and names no foundation or legal entity that hosts it. Browser use is possible through the Try GP page, and PariDroid covers phones.
What stands out
Number theory
C library
GP scripting language
Where it costs you
The download page lists source only for Linux and names no package managers.
The funding page names no hosting entity and describes no paid support, so buyers cannot look for a contract.
Right for
Number theory researchers working with factorisation, elliptic curves and modular forms
Wrong for
Teams needing a broad engineering environment rather than number theory
Not stated by the vendorFree software under GPLv2+; no paid tier or price is listed
Browser interface to GNU Octave, operated by Octave Online LLC
Ranked #8 of 13 in Best Numerical Computing Software in 2026.
Free tierPublished pricingElsewhere
The server code is free software under AGPL, linked from the home page. Storage sits on Google Cloud Platform in Council Bluffs, Iowa, with backup copies possibly kept elsewhere, and the privacy policy says files and transcripts may be kept indefinitely while full deletion needs a support request.
A ZIP of files can be requested by email. Cookies, Google Analytics and the monetisation provider Publift are in use, and the company's country is not stated.
What stands out
Browser based
Real-time collaboration
Git revisions
Where it costs you
Session length and memory limits are not stated, only a seconds-remaining countdown.
The privacy policy mentions neither encryption nor a data export right.
Right for
Students and occasional users who want Octave in a browser without installing anything
Wrong for
Work needing long sessions or confidential data held in a known place
Not stated by the vendorFree to use online; optional Patreon support for extended runtime, tiers not listed
Mathematica-syntax computer algebra system written as Python packages, licensed GPLv3
Ranked #9 of 13 in Best Numerical Computing Software in 2026.
Free tierOpen sourcePublished pricingElsewhere
The mathicsscript client runs with prompt_toolkit or GNU Readline and offers saved history, variable completion, syntax highlighting and Unicode symbol entry. The Django server adds MathML output, Three.js graphics and notebook-like sessions in a browser.
Components are Python packages that other Python code can import. The original Mathics repository is marked archival, and development moved to the Mathics3 organisation. The home page mentions neither Jupyter nor a desktop app, and it states no country.
What stands out
Mathematica syntax
Python packages
Docker image
Where it costs you
The mathics-core releases section shows no release, so version tracking relies on the README.
Two project pages, about and docs, gave 404 errors.
Right for
Python users wanting Mathematica-style syntax in open source code they can embed
Wrong for
Buyers who need verified documentation and a company behind the product
Not stated by the vendorFree open source software under GPLv3; the home page names no price or paid tier
Mathematics software with its own programming language, from Maplesoft in Waterloo
Ranked #10 of 13 in Best Numerical Computing Software in 2026.
Pricing on requestNorth America
Single-user new purchases go through the Maplesoft Web Store, multi-user licences and upgrades are quoted, and single-user upgrades run through the Upgrade Center. The product page says Maple now includes Maple Calculator Premium, Maple Learn and Maple MCP, a math plugin for an LLM.
Related products are MapleSim for system-level modelling and MapleCloud for sharing documents. A trial download is offered, along with a Maple Player that views Maple documents.
What stands out
Single-user store
Multi-user quotes
Maple Player
Where it costs you
No amount, currency or billing basis appears for any licence.
Ownership sits with Cybernet Systems Co. Ltd, which the company page names as parent.
Right for
Mathematics teams wanting algebra, graphics and explanation in one workbook
Wrong for
Buyers who want to read a price before talking to sales
CanadaQuoted by licence type: web store for single users, quotes for multi-user; trial download offered
Ranked #11 of 13 in Best Numerical Computing Software in 2026.
Pricing on requestNorth America
Personal Edition runs on up to eight cores, with 2 controlling processes and 8 computing processes per installation, 6,000 Wolfram|Alpha API calls a month and 20,000 Cloud Credits per period.
The Personal Plus licence keeps perpetual desktop access if the subscription lapses, but cloud access, upgrades and advanced support end, and each licence covers two machines or one dual-boot system. The trial link states neither its length nor its terms.
What stands out
Notebook interface
Wolfram Knowledgebase
Personal Plus perpetual
Where it costs you
Price fields are blank on the Personal page, and the index lists no amounts.
A 1 GB file cap and a five-minute cloud job limit apply to Personal plans.
Right for
Researchers wanting symbolic and numeric work with built-in curated data
Wrong for
Buyers who need to see prices and trial terms before any contact
United StatesQuoted by user class; price fields stay blank on the pages read; trial link offered
Numerical language and Simulink foundation, with one published Individual licence price
Ranked #12 of 13 in Best Numerical Computing Software in 2026.
Published pricingNorth America
Two terms exist: annual, with MathWorks Software Maintenance Service included, and perpetual, with the first year of maintenance included.
MATLAB Online offers 5GB of MATLAB Drive storage in its free version and 20GB with a licence, on several vCPUs and 16GB of memory that can burst; session limits sit on a separate page. Python, Visual Studio and GitHub are named integrations, and AI assistance arrives through MATLAB Copilot.
What stands out
Simulink
Toolboxes
Annual or perpetual
Where it costs you
Add-ons beyond those in the Individual licence are sold separately, so team costs depend on the toolbox list.
Prices for Standard, Startups, Academic, Student and Home licences are not listed on the pricing page.
Right for
Engineering groups building algorithms and Simulink models on one commercial platform
Wrong for
Teams wanting a fixed total price without per-toolbox add-ons
United StatesPublished for the Individual licence per year; other licence types listed without prices; trial offered
Engineering calculation notebook with units handling, sold under the PTC brand
Ranked #13 of 13 in Best Numerical Computing Software in 2026.
Pricing on requestElsewhere
After a free 30-day trial the software reverts to PTC Mathcad Express, a limited-functionality version, unless the user upgrades. The product page compares Express and Prime on units, the Excel component, templates and programming.
Built-in functions solve linear, nonlinear and differential equations and optimisation problems, and template libraries repeat standard calculations across projects. PTC says it tests only reported issues on a Microsoft-supported OS release.
What stands out
Unit conversion
Creo and Windchill links
Excel component
Where it costs you
The pricing page could not be read, so plan and price details are unchecked.
The system requirements list Windows 11 64-bit versions only.
Right for
Engineering teams already on Creo or Windchill that document calculations in a notebook
Wrong for
Mac or Linux teams and buyers needing a published price list
Not stated by the vendorPrices not shown on the product page; 30-day trial, then a limited Express version
Numerical computing software is a language or environment for matrix maths, equation solving, plotting and symbolic algebra, used to build models, analyse data and document calculations. Feature lists look alike, so we would settle these points one at a time instead.
01
Check who publishes a price
3 vendors on this page sell by quote, while 10 publish a pricing model you can read today: GNU Octave, Julia, SMath Studio, R Project, SageMath, Maxima, PARI/GP, Octave Online, Mathics, MATLAB.
02
Look at where the vendor sits
Look at the contracting entity: these 13 vendors sit in 4 countries, split by region as Elsewhere 10, North America 3. The servers can be anywhere; the legal obligations follow the company.
03
Check the open source options
Source code is available for GNU Octave, Julia, R Project, Maxima, Mathics. Running it yourself swaps the licence fee for your own upkeep.
Numerical computing software: licence fee against language lock-in
The first cost question is whether your code is tied to a vendor. MATLAB lists one price, 940 USD per year for the Individual licence, and sells add-ons separately, while the other licence types carry no prices on the page.
GNU Octave describes its syntax as largely compatible with MATLAB and is free software, so it can absorb many scripts without a fee, though the project says only that many scripts are drop-in compatible, not all. Julia and R Project need a rewrite but carry no licence price on the pages read. Gather the scripts you run today, list the toolboxes each one calls, and run a sample through Octave before treating the saving as real.
List every toolbox or add-on your current scripts call
Run three representative scripts through GNU Octave and note failures
Price the add-ons separately from the base licence
Numerical, symbolic or statistical: matching the engine to the work
These products solve different problems under one label. Julia targets fast numerical code and parallel computing, while R Project is built around statistical modelling, tests and time series with a package repository. Maxima, SageMath and Mathics handle symbolic algebra, and PARI/GP is narrower still, aimed at number theory such as factorisation and elliptic curves. Maple and Mathematica put algebra, graphics and written explanation in a single product.
Buying a symbolic engine for array-heavy simulation, or a statistics environment for exact algebra, leaves the real work to add-on packages. Write down your three most common calculations and see which product describes them on its own pages before you compare anything else. A team that does both kinds of work may end up running two tools, so count the second install and the second learning curve in the first quote.
Name the three calculations your team runs most often
Check that the product's own pages describe that kind of work
Separate exact symbolic needs from large numeric array needs
Installing GNU Octave, SageMath and Maxima: the setup hours
Free software moves the cost from the licence to the first weeks of setup. GNU Octave offers no direct macOS installer and a Windows installer of about 540 MB. SageMath has discontinued Linux binaries, runs on Windows through the Windows Subsystem for Linux, and points macOS users to a GitHub releases page.
Maxima warns that winget, Chocolatey and Linux package-manager builds may lag the newest version, and PARI/GP lists source only for Linux. Julia installs through juliaup. For a team, the practical test is whether two people on different machines can reach the same version. Browser options such as Octave Online and Maxima's browser build avoid installation but add limits of their own.
Install on one Windows, one macOS and one Linux machine
Record the version each install produces
Test a browser option for occasional users
Buying Maple, Mathematica, MATLAB or Mathcad: reading prices and limits
Commercial products differ most in how visible the price is. Maple's pricing page shows no prices for any licence and quotes multi-user terms, Mathematica's pricing index lists none, and its Personal plan caps cloud storage at 2 GB with 5 minutes of cloud computation per job. Mathcad's product page shows no price, and its 30-day trial reverts to a limited Express version.
SMath Studio publishes plans, but its Personal and Advanced plans cannot be used in organisations. Ask each vendor for a written quote that names the licence type, the term, the add-ons and the number of machines, and confirm what happens to your files and desktop access when a subscription lapses.
Request a written quote naming licence type, term and add-ons
Ask what stays usable if the subscription lapses
Check whether the cheaper plan may be used inside an organisation
What goes wrong most often when buying numerical computing software
Assuming Octave runs every MATLAB script because the project calls its syntax largely compatible, then discovering a missing toolbox function mid-project.
Choosing Maxima or PARI/GP for array-heavy simulation, or R Project when exact algebra is the real need.
Counting free software as zero cost and skipping the hours spent on installers for Windows, macOS and Linux, which differ for SageMath, Octave and Maxima.
Buying Maple, Mathematica or Mathcad from a price-less page without a written quote covering licence type, term, add-ons and machine count.
07
Frequently asked questions
7 answers
What is the best numerical computing software in 2026?
GNU Octave leads our ranking of 13. GNU Octave is a free scientific programming language whose syntax the project calls largely compatible with MATLAB, so many scripts run unchanged.
The open source code is GPL-3.0, and the manual covers linear algebra, optimisation and signal processing. The gaps are practical: the project offers no direct macOS installer, the Windows installer is about 540 MB, and the manual documents a Java interface but names no Python one.
Which numerical computing tools publish their pricing?
Published pricing exists for 10 products on this page:
GNU Octave: Free software under the GNU GPL; the pages list no price, only a donate link.
Julia: Free to download under the MIT licence; the project asks for sponsorship, no price listed.
SMath Studio: Personal plan marked free forever; Advanced and Unlimited plans published, with half-yearly and annual billing discounts.
R Project: Free software under GPL-2 or GPL-3; no paid plan appears on the pages read.
SageMath: Free software under the GPL; the pages list only sponsorship and donation links.
Maxima: Free source code under the GPL; no price or cost is stated on the download page.
PARI/GP: Free software under GPLv2+; no paid tier or price is listed.
Octave Online: Free to use online; optional Patreon support for extended runtime, tiers not listed.
Mathics: Free open source software under GPLv3; the home page names no price or paid tier.
MATLAB: Published for the Individual licence per year; other licence types listed without prices; trial offered.
Everything else on the list is priced on request.
Is there a free numerical computing tool?
GNU Octave, Julia, R Project, SageMath, Maxima, PARI/GP, Octave Online, Mathics can be used for free, either as a free plan or a self-hosted edition.
Where are these numerical computing software vendors established?
Vendor countries on this page, Elsewhere 10, North America 3:
GNU Octave: Not stated by the vendor.
Julia: Not stated by the vendor.
SMath Studio: Russia.
R Project: Not stated by the vendor.
SageMath: Not stated by the vendor.
Maxima: Not stated by the vendor.
PARI/GP: Not stated by the vendor.
Octave Online: Not stated by the vendor.
Mathics: Not stated by the vendor.
Maple: Canada.
Mathematica: United States.
MATLAB: United States.
Mathcad: Not stated by the vendor.
Which numerical computing tools are open source?
GNU Octave, Julia, R Project, Maxima, Mathics.
What should you use instead of GNU Octave?
The next in line are Julia, aimed at Researchers writing new numerical code who need native speed and parallel computing, and SMath Studio, aimed at Engineers documenting unit-aware calculations in readable worksheets on a published price list.
Who should not buy GNU Octave?
Mac users who want a one-click installer straight from the project. The download page names no direct macOS installer and points to the wiki, Homebrew and MacPorts instead..
Vendors who think their numerical computing software product should be here can tell us about it: what it does, who it is for. The call is ours, and software advice sets out what being listed means.
