Domain
Mathematics Simulation
From symbolic calculus to nonlinear dynamics, PolySim's math engine solves, simplifies, integrates, and plots — a computer-algebra system and numerical solver combined.
Topics in Mathematics
Ordinary Differential Equations
LIVEInitial-value problems solved with RK4.
Partial Differential Equations
LIVEHeat, wave, and diffusion equations.
Dynamical Systems
LIVEFixed points, limit cycles, and bifurcations.
Symbolic Calculus
LIVEDifferentiation, simplification, and roots.
Linear Algebra
Matrices, eigenvalues, and transformations.
Numerical Integration
Quadrature and Monte Carlo methods.
Chaos & Fractals
LIVEStrange attractors and self-similarity.
Optimization
Gradient methods and global search.
Probability & Statistics
Distributions, sampling, and inference.
Complex Analysis
Functions of a complex variable and mappings.
Upgrade your workspace
Physics Starter Kit — $19
Everything you need to start simulating classical & modern physics.
Tools for Mathematics
Annual Reproducibility Audit
$49/yrAn annual audit certifying your key projects are reproducible.
Single Private Project Slot
$2Add one extra private cloud project beyond your plan limit.
Convergence Auto-Tuner
$8Automatically tune solver settings until your run converges.
Math / Dynamical Systems Kit
$19ODEs, PDEs, chaos, and dynamical-systems exploration.
Migration Service
$175We migrate a model from COMSOL, Ansys, or MATLAB to PolySim.
Materials Property Report
$6A sourced report on a material's mechanical & thermal properties.