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Dataset assetOpen Source CommunityPartial Differential EquationsNumerical Simulation

erbacher/PDEBench-1D

This dataset contains multiple configurations, each corresponding to the solution results of different physical equations. Features include parameters (string type) and multi‑dimensional tensors (serialized float32). Each configuration is split into a training set, and some also include validation and test sets. Detailed information about dataset size and download size is provided for each configuration.

Source
hugging_face
Created
Nov 28, 2025
Updated
Dec 20, 2023
Signals
275 views
Availability
Linked source ready
Overview

Dataset description and usage context

Dataset Overview

Dataset Configuration

Advection_Sols_beta Series

  • Advection_Sols_beta0.1

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 2,079,020,000 bytes, 10,000 samples
    • Download size: 1,030,317,301 bytes
    • Dataset size: 2,079,020,000 bytes

  • Advection_Sols_beta0.2

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 2,079,020,000 bytes, 10,000 samples
    • Download size: 1,034,054,442 bytes
    • Dataset size: 2,079,020,000 bytes

  • Advection_Sols_beta0.4

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 2,079,020,000 bytes, 10,000 samples
    • Download size: 1,037,220,772 bytes
    • Dataset size: 2,079,020,000 bytes

  • Advection_Sols_beta0.7

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 2,079,020,000 bytes, 10,000 samples
    • Download size: 1,039,496,575 bytes
    • Dataset size: 2,079,020,000 bytes

  • Advection_Sols_beta1.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 2,079,020,000 bytes, 10,000 samples
    • Download size: 1,041,009,183 bytes
    • Dataset size: 2,079,020,000 bytes

  • Advection_Sols_beta2.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 2,079,020,000 bytes, 10,000 samples
    • Download size: 1,041,263,590 bytes
    • Dataset size: 2,079,020,000 bytes

  • Advection_Sols_beta4.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 2,079,020,000 bytes, 10,000 samples
    • Download size: 1,041,302,186 bytes
    • Dataset size: 2,079,020,000 bytes

  • Advection_Sols_beta7.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 2,079,020,000 bytes, 10,000 samples
    • Download size: 1,041,314,010 bytes
    • Dataset size: 2,079,020,000 bytes

Burgers_Sols_Nu Series

  • Burgers_Sols_Nu0.001

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 1,975,050,000 bytes, 9,500 samples
      • dev: 51,975,000 bytes, 250 samples
      • test: 51,975,000 bytes, 250 samples
    • Download size: 1,028,326,119 bytes
    • Dataset size: 2,079,000,000 bytes

  • Burgers_Sols_Nu0.002

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: same as above
    • Download size: 1,034,543,373 bytes
    • Dataset size: 2,079,000,000 bytes

  • Burgers_Sols_Nu0.004

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: same as above
    • Download size: 1,039,636,457 bytes
    • Dataset size: 2,079,000,000 bytes

  • Burgers_Sols_Nu0.01

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 1,975,040,500 bytes, 9,500 samples
      • dev: 51,974,750 bytes, 250 samples
      • test: 51,974,750 bytes, 250 samples
    • Download size: 1,042,820,960 bytes
    • Dataset size: 2,078,990,000 bytes

  • Burgers_Sols_Nu0.02

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: same as above
    • Download size: 1,043,138,323 bytes
    • Dataset size: 2,078,990,000 bytes

  • Burgers_Sols_Nu0.04

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: same as above
    • Download size: 1,035,623,715 bytes
    • Dataset size: 2,078,990,000 bytes

  • Burgers_Sols_Nu0.1

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 1,975,031,000 bytes, 9,500 samples
      • dev: 51,974,500 bytes, 250 samples
      • test: 51,974,500 bytes, 250 samples
    • Download size: 995,415,792 bytes
    • Dataset size: 2,078,980,000 bytes

  • Burgers_Sols_Nu0.2

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: same as above
    • Download size: 949,166,113 bytes
    • Dataset size: 2,078,980,000 bytes

  • Burgers_Sols_Nu0.4

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: same as above
    • Download size: 847,341,109 bytes
    • Dataset size: 2,078,980,000 bytes

  • Burgers_Sols_Nu1.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: same as above
    • Download size: 573,087,335 bytes
    • Dataset size: 2,078,980,000 bytes

  • Burgers_Sols_Nu2.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: same as above
    • Download size: 315,101,631 bytes
    • Dataset size: 2,078,980,000 bytes

  • Burgers_Sols_Nu4.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: same as above
    • Download size: 189,417,705 bytes
    • Dataset size: 2,078,980,000 bytes

CFD_Rand_Eta_Zeta Series

  • CFD_Rand_Eta0.01_Zeta0.01_periodic

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split:
      • train: 2,099,620,000 bytes, 10,000 samples
    • Download size: 1,576,405,761 bytes
    • Dataset size: 2,099,620,000 bytes

  • CFD_Rand_Eta0.1_Zeta0.1_periodic

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: train: 2,099,600,000 bytes, 10,000 samples
    • Download size: 946,984,963 bytes
    • Dataset size: 2,099,600,000 bytes

  • CFD_Rand_Eta1.e-8_Zeta1.e-8_periodic

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: train: 2,099,640,000 bytes, 10,000 samples
    • Download size: 1,573,309,616 bytes
    • Dataset size: 2,099,640,000 bytes

  • CFD_Rand_Eta1.e-8_Zeta1.e-8_trans

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: train: 2,099,610,000 bytes, 10,000 samples
    • Download size: 0 bytes
    • Dataset size: 2,099,610,000 bytes

ReacDiff_Nu_Rho Series

  • ReacDiff_Nu0.5_Rho1.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: train: 1,055,010,000 bytes, 10,000 samples
    • Download size: 103,983,829 bytes
    • Dataset size: 1,055,010,000 bytes

  • ReacDiff_Nu0.5_Rho10.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: train: 1,055,020,000 bytes, 10,000 samples
    • Download size: 124,933,565 bytes
    • Dataset size: 1,055,020,000 bytes

  • ReacDiff_Nu0.5_Rho2.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: train: 1,055,010,000 bytes, 10,000 samples
    • Download size: 193,004,745 bytes
    • Dataset size: 1,055,010,000 bytes

  • ReacDiff_Nu0.5_Rho5.0

    • Features:
      • parameters: string
      • tensor: sequence of float32
    • Split: train: 1,055,010,0
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