Wolfram/QuantumFramework
Perform analytic and numeric quantum computations
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104 items
RohanMehta/OpenChemicalSystems
Model, stochastically simulate, and visualize arbitrary open chemical systems using a Petri Net framework
PeterBurbery/DimensionalAnalysis
A paclet for applications of dimensional analysis in physics and the engineering sciences
The 192 Solutions of the Heun Equation
A compilation of the 192 solutions to the Heun differential equation
SolveEinsteinEquations
Determine whether a given stress-energy tensor (field) is a solution to the Einstein field equations
FindEquationalPath
Find a path that goes from one expression to another with a sequence of replacements
SolveVacuumEinsteinEquations
Determine whether a given Riemannian or pseudo-Riemannian manifold is a solution to the vacuum Einstein field equations
SolveVacuumADMEquations
Determine whether a given ADM decomposition is a solution to the vacuum ADM equations
Schrodinger's Equation in a Two-Dimensional Stadium
Find the eigenmodes of a massive particle contained within a stadium-shaped enclosure
Schrödinger Equation for the Linear Harmonic Oscillator
Find the first few eigenvalues and eigenfunctions
Solve Poisson's Equation Over an Interactively Changing Region
Manipulate the boundary conditions interactively for a solution to Poisson's equation over a rectangle
LinearConstraints
Determine the consistency equations required for a system of linear equations to have a solution
Remove Map Projection Distortions
Reposition Russia over Africa and compare their geodesic areas to quantify how projection distortions affect perceived size
Wolfram/ConvertArXivTeXSource
Convert equations in an arXiv preprint from TeX to Wolfram Language expressions using LLM
Solve PDEs with Events over Regions
Model thermostat-controlled heat generation in a room with three insulated walls and a glass front
Model Energy Transport Dynamics
Solve Navier-Stokes equations coupled with a heat transfer equation over a rectangular region with cutout
Cooling Effect of a Duct with a Cooling Liquid
Neumann heat flux values prescribe the flux over the boundary edge of an axisymmetric cross section of a pipe
Solve a Nonlinear Model of Fluid Flow
Model the time-dependent flow around a cylinder with the transient Navier–Stokes equation
Compute Thermodynamic Values from Interpolated Data
Calculate the heat capacity of carbon dioxide from interpolated volume data
NSolveByMonodromy
Numerically solve for isolated roots of a square system of polynomial equations using monodromy
Dynamics of Simple Harmonic Motion in a Mass-Spring System
Explore the mass-spring system from equations to animations
Magnetic Potential inside an Electric Motor
Find a fit for measured BH-curve data with a Gaussian model to solve a magnetostatic problem
Harrow–Hassidim–Lloyd (HHL) Algorithm
Numerically solve a system of linear equations using a quantum algorithm
Derive the Electrostatic Potential for Point Charges
Solve Poisson's equation for electrostatics using the method of Green's functions and visualize the equipotential surfaces for a collection of point charges
Stress and Strain in a Fiber-Reinforced Rubber Block
Compute and visualize the strain and von Mises stress in a block of fiber-reinforced rubber under load
PDE over a 3D Space Shuttle Region
Apply Finite Element method to solve PDEs over a 3D space shuttle region and visualize solutions
ZigangPan/NonlinearCholeskyFactorization
Design locally optimal and globally inverse optimal controllers for nonlinear system under perfect state measurement
ZigangPan/NonlinearCholeskyFactorizationMIMO
Nonlinear Cholesky Factorization for MIMO nonlinear systems
StressEnergyTensor
Represent a stress-energy tensor (field) over a Riemannian or pseudo-Riemannian manifold
The Leontief Input-Output Model
This model typically requires solving large systems of linear equations which can be done efficiently using Wolfram Language
Stress and Displacement Analysis of an L-Shaped Elastic Body
Solve a plane strain elasticity problem and visualize the resulting displacements and stresses in an L-shaped domain
WolframAlphaMath/SpecialFunctionsAndCalculus
Compute MeijerG forms of functions, fractional-order integro-derivatives, integral transforms and more.
Axisymmetric Flow Driven by a Pressure Gradient in a Constricted Pipe
Compute and visualize transient axisymmetric viscous flow in a pipe with a narrowed middle section under a time-dependent pressure gradient
ZigangPan/NonlinearSystems
This is a paclet on nonlinear systems with the ultimate goal of robust MRAC for linear systems
ZigangPan/SystemofSystems
Robust MRAC design for minimum phase composite system that consists of parallel interconnected MIMO LTI systems
GenerationalMultiwaySystem
Compute the evolution of a generational multiway system and many associated properties
ListGlocalBranchialGraph
Generate a graph of branch pair ancestry for a list substitution "glocal" (hybrid of global and local) multiway system
WolframModelGlocalMultiwaySystem
Simulate the evolution of a Wolfram model system as a "glocal" (hybrid of global and local) multiway system
GroupToCombinator
Create combinator expressions for each element of a specified group, as well as the group's operation
StringGlocalBranchialGraph
Generate a graph of branch pair ancestry for a string substitution "glocal" (hybrid of global and local) multiway system
CanonicalKnuthBendixCompletion
Compute the canonical Knuth-Bendix completion for a given multiway system
TuringMachineGlocalMultiwaySystem
Simulate the evolution of a nondeterministic Turing machine as a "glocal" (hybrid of global and local) multiway system
AbstractPullback
Represent the abstract pullback of a collection of morphisms with common codomain in an abstract category
AbstractPushout
Represent the abstract pushout of a collection of morphisms with common domain in an abstract category