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Faster method-of-lines solve of Burgers' equation

Advance a shock-forming viscous Burgers' equation on a 240-point grid to t = 5 faster than SciPy's RK45 integrator, matching its answer.

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1{
2 "domain": "computer-science",
3 "topics": [
4 "scientific-computing"
5 ],
6 "type": "algorithm",
7 "benchmark": {
8 "task": "Solve a 240-point semi-discrete Burgers' equation to t = 5 faster than RK45",
9 "metric": {
10 "name": "Speed-up over the reference implementation (×)",
11 "better": "higher"
12 },
13 "baseline": {
14 "name": "Reference implementation",
15 "score": 1
16 }
17 },
18 "source": {
19 "key": "algotune",
20 "name": "AlgoTune",
21 "url": "https://github.com/oripress/AlgoTune/tree/main/AlgoTuneTasks/pde_burgers1d",
22 "id": "pde_burgers1d",
23 "curator": "Ori Press and the AlgoTune contributors",
24 "poser": "Ori Press et al. (AlgoTune)",
25 "status": "open",
26 "as_of": "2026-10-20",
27 "catalog": "0521c19bbd38"
28 },
29 "review": true,
30 "approval": "first-time"
31}