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121 lines
No EOL
2.9 KiB
JSON
121 lines
No EOL
2.9 KiB
JSON
{
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"schema": "hopf_cole_benchmark_v2",
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"description": "Hopf-Cole solver benchmark with Fokas unified transform method",
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"reference": "arXiv:2605.11788 (Kalimeris, Mindrinos, Paraskevopoulos 2026)",
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"results": {
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"fft_vs_fd": [
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{
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"N": 512,
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"nu": 0.01,
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"hopf_cole_ms": 2.4595260620117188,
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"fd_ms": 1.1093616485595703,
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"speedup": 0.45104691740984876,
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"rmse": 8.095117763762474
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},
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{
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"N": 512,
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"nu": 0.001,
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"hopf_cole_ms": 0.06842613220214844,
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"fd_ms": 0.11301040649414062,
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"speedup": 1.651567944250871,
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"rmse": 1.561303593770873
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},
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{
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"N": 1024,
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"nu": 0.01,
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"hopf_cole_ms": 0.05984306335449219,
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"fd_ms": 4.583120346069336,
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"speedup": 76.58565737051792,
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"rmse": 19.902285633276207
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},
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{
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"N": 1024,
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"nu": 0.001,
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"hopf_cole_ms": 0.054836273193359375,
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"fd_ms": 0.4563331604003906,
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"speedup": 8.321739130434782,
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"rmse": 2.7342285097593564
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},
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{
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"N": 2048,
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"nu": 0.01,
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"hopf_cole_ms": 0.08845329284667969,
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"fd_ms": 19.593000411987305,
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"speedup": 221.5067385444744,
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"rmse": 39.14175495928565
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},
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{
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"N": 2048,
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"nu": 0.001,
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"hopf_cole_ms": 0.07510185241699219,
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"fd_ms": 1.9483566284179688,
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"speedup": 25.942857142857143,
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"rmse": 4.963314310186603
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}
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],
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"fokas_vs_fourier": [
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{
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"method": "fokas",
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"N": 64,
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"rmse": 0.013722927804692983,
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"time_ms": 1.7440319061279297
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},
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{
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"method": "fokas",
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"N": 128,
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"rmse": 0.015599436271601716,
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"time_ms": 3.344297409057617
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},
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{
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"method": "fokas",
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"N": 256,
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"rmse": 0.016095097819050174,
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"time_ms": 6.840944290161133
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},
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{
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"method": "fokas",
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"N": 512,
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"rmse": 0.01621861137592211,
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"time_ms": 14.413833618164062
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},
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{
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"method": "fourier",
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"N": 50,
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"rmse": 0.25729521057061433,
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"time_ms": 2.101898193359375
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},
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{
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"method": "fourier",
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"N": 100,
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"rmse": 0.25729521057061433,
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"time_ms": 4.0283203125
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},
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{
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"method": "fourier",
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"N": 500,
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"rmse": 0.25729521057061433,
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"time_ms": 20.289897918701172
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},
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{
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"method": "fourier",
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"N": 1000,
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"rmse": 0.25729521057061433,
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"time_ms": 40.23003578186035
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},
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{
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"method": "fourier",
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"N": 2000,
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"rmse": 0.25729521057061433,
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"time_ms": 80.52802085876465
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},
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{
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"method": "burgers_fokas",
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"time_ms": 7.393360137939453
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},
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{
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"method": "burgers_fft",
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"time_ms": 0.07486343383789062
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}
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]
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}
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} |