Watch a partial differential equation solve itself on your GPU. Paint hot and cold sources and the steady-state field converges via thousands of Jacobi sweeps per second.
GPU PDE Solver (WebGPU)Live
Jacobi relaxation · steady heat / Poisson
Controls
Click to paint heat sources; the GPU solves the steady-state field with 40 Jacobi sweeps per frame across a 384×384 grid.
Data Inspector
Backendstarting…
Grid384×384
Unknowns147,456
FPS—
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
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How it works
This is the linear-solve core of finite-element and finite-difference analysis, run entirely on the GPU. A WGSL compute shader performs Jacobi relaxation of Laplace's equation across a 384×384 grid — tens of Jacobi sweeps every frame — with Dirichlet boundary conditions you paint interactively. The same matrix-free GPU approach scales to the large linear systems behind real CFD and structural solvers.
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Ask the AI about this model
The math, the assumptions, real-world uses, or a code translation — explained for this exact simulation.
Yes. GPU PDE Solver runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
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Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.