LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation | Paper Citation Record

Observation 426e2fab-be7c-48e6-a063-6ed5fc56e98f · outbound

This paper cites Data-driven discovery of partial differential equations.Science advances, 3(4):e1602614, 2017.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Data-driven discovery of partial differential equations.Science advances, 3(4):e1602614, 2017

Reference 1

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This paper cites Pde-net: Learning pdes from data.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Pde-net: Learning pdes from data

Reference 2

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LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Unresolved cited work

Reference 3

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Observation 620c76a9-4652-475d-9776-f8e0de098d68 · outbound

This paper cites Deepmod: Deep learning for model discovery in noisy data.Journal of Computational Physics, 428:109985, 2021.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Deepmod: Deep learning for model discovery in noisy data.Journal of Computational Physics, 428:109985, 2021

Reference 4

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This paper cites Physics-informed machine learning.Nature Reviews Physics, 3(6):422–440, 2021.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Physics-informed machine learning.Nature Reviews Physics, 3(6):422–440, 2021

Reference 5

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This paper cites Recent advances in symbolic regression.ACM Computing Surveys, 57 (11):1–37, 2025.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Recent advances in symbolic regression.ACM Computing Surveys, 57 (11):1–37, 2025

Reference 6

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This paper cites Transformer-based planning for symbolic regression.Advances in Neural Information Processing Systems, 36:45907–45919, 2023.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Transformer-based planning for symbolic regression.Advances in Neural Information Processing Systems, 36:45907–45919, 2023

Reference 7

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This paper cites Graph-based symbolic regression with invariance and constraint encoding.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Graph-based symbolic regression with invariance and constraint encoding

Reference 8

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Observation 77d63065-7da9-4d4c-905c-c04af1dc3c97 · outbound

This paper cites Discovering governing equations from data by sparse identification of nonlinear dynamical systems.Proceedings of the national academy of sciences, 113(15):3932–3937, 2016.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Discovering governing equations from data by sparse identification of nonlinear dynamical systems.Proceedings of the national academy of sciences, 113(15):3932–3937, 2016

Reference 9

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This paper cites Sparse regression for large data sets with outliers.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Sparse regression for large data sets with outliers

Reference 10

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Observation 77e34ea2-16f0-4063-b4d4-f90bd9ccedfe · outbound

This paper cites Multifactorial genetic programming for symbolic regression problems.IEEE transactions on systems, man, and cybernetics: systems, 50(11): 4492–4505, 2018.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Multifactorial genetic programming for symbolic regression problems.IEEE transactions on systems, man, and cybernetics: systems, 50(11): 4492–4505, 2018

Reference 11

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This paper cites Deep recognition of partial differential equations based on reinforcement learning and genetic algorithm.The Journal of Supercomputing, 81(5): 740, 2025.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Deep recognition of partial differential equations based on reinforcement learning and genetic algorithm.The Journal of Supercomputing, 81(5): 740, 2025

Reference 12

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This paper cites Explainable artificial intelligence by genetic programming: A survey.IEEE Transactions on Evolutionary Computation, 27(3):621–641, 2022.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Explainable artificial intelligence by genetic programming: A survey.IEEE Transactions on Evolutionary Computation, 27(3):621–641, 2022

Reference 13

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Observation d181814c-9920-4ac0-b31c-a7ed335916a7 · outbound

This paper cites Interpretable scientific discovery with symbolic regression: a review.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Interpretable scientific discovery with symbolic regression: a review

Reference 14

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Observation 9a004102-e2c1-4d40-b9ee-030a6957b4c2 · outbound

This paper cites Mathematical discoveries from program search with large language models.Nature, 625(7995):468–475, 2024.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Mathematical discoveries from program search with large language models.Nature, 625(7995):468–475, 2024

Reference 15

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Observation 930016a0-8a0c-4391-b57d-876b33baa9dc · outbound

This paper cites Rl-gpt: Integrating reinforcement learning and code-as-policy.Advances in Neural Information Processing Systems, 37:28430–28459, 2024.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Rl-gpt: Integrating reinforcement learning and code-as-policy.Advances in Neural Information Processing Systems, 37:28430–28459, 2024

Reference 16

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This paper cites Scientific discovery in the age of artificial intelligence.Nature, 620(7972):47–60, 2023.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Scientific discovery in the age of artificial intelligence.Nature, 620(7972):47–60, 2023

Reference 17

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Observation beebf296-dbe8-4caf-9d1a-32e4c319175a · outbound

This paper cites The Impact of Large Language Models on Scientific Discovery: a Preliminary Study using GPT-4.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation The Impact of Large Language Models on Scientific Discovery: a Preliminary Study using GPT-4

Reference 18

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Observation d9276e62-b059-427f-8a69-d868313af88f · outbound

This paper cites Scimon: Scientific inspiration machines optimized for novelty.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Scimon: Scientific inspiration machines optimized for novelty

Reference 19

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Observation fddc491b-86a2-4c26-8bb5-809fff1ce8a2 · outbound

This paper cites LLM-SR: Scientific Equation Discovery via Programming with Large Language Models.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation LLM-SR: Scientific Equation Discovery via Programming with Large Language Models

Reference 20

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This paper cites Finite-difference time-domain methods.Nature Reviews Methods Primers, 3(1):75, 2023.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Finite-difference time-domain methods.Nature Reviews Methods Primers, 3(1):75, 2023

Reference 21

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This paper cites Finite difference methods for differential equations.Draft version for use in AMath, 585(6):112, 1998.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Finite difference methods for differential equations.Draft version for use in AMath, 585(6):112, 1998

Reference 22

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Observation c59ed47f-1a56-48b9-a385-412b71a1f7e8 · outbound

This paper cites On the use of nonstandard finite difference methods.Journal of Difference Equations and Applications, 11(8):735–758, 2005.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation On the use of nonstandard finite difference methods.Journal of Difference Equations and Applications, 11(8):735–758, 2005

Reference 23

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Observation fdd0c27c-1f41-4eae-900e-cd4787929b28 · outbound

This paper cites Survey on algebraic numerical differentiation: historical developments, parametrization, examples, and applications.International Journal of Systems Science, 53(9):1848–1887, 2022.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Survey on algebraic numerical differentiation: historical developments, parametrization, examples, and applications.International Journal of Systems Science, 53(9):1848–1887, 2022

Reference 24

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LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Unresolved cited work

Reference 25

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LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Unresolved cited work

Reference 26

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Observation 4da84f10-b2e7-4766-87a9-9164b8805b8c · outbound

This paper cites Quintic spline interpolation with minimal feed fluctuation.J.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Quintic spline interpolation with minimal feed fluctuation.J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation 9589881d-a735-485a-987d-dc67e610166d · outbound

This paper cites Asymptotic consistency of the wsindy algorithm in the limit of continuum data.IMA Journal of Numerical Analysis, 45(6):3264–3312, 2025.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Asymptotic consistency of the wsindy algorithm in the limit of continuum data.IMA Journal of Numerical Analysis, 45(6):3264–3312, 2025

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation c6ff18e7-0728-4f6a-87dd-1dc74d4ed4d8 · outbound

This paper cites A pareto front grid guided multi-objective evolutionary algorithm.Applied Soft Computing, 136:110095, 2023.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation A pareto front grid guided multi-objective evolutionary algorithm.Applied Soft Computing, 136:110095, 2023

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation 24f26c9b-ed5f-47db-bcc1-6736dc89b166 · outbound

This paper cites Pareto set learning for multi-objective reinforcement learning.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Pareto set learning for multi-objective reinforcement learning

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation de805491-1de0-45df-b30f-e810d34e864c · outbound

This paper cites The era5 global reanalysis.Quarterly journal of the royal meteorological society, 146(730):1999–2049, 2020.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation The era5 global reanalysis.Quarterly journal of the royal meteorological society, 146(730):1999–2049, 2020

Reference 31

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Observation 519a8295-67d1-4617-9969-9b9c62612a2d · outbound

This paper cites Symbolic genetic algorithm for discovering open-form partial differential equations (sga-pde).Physical Review Research, 4(2):023174, 2022.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Symbolic genetic algorithm for discovering open-form partial differential equations (sga-pde).Physical Review Research, 4(2):023174, 2022

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation 427b6eba-0af5-4bfb-86e3-b96d4e53cd82 · outbound

This paper cites Discover: Deep identification of symbolically concise open-form partial differential equations via enhanced reinforcement learning.Physical Review Research, 6 (1):013182, 2024.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Discover: Deep identification of symbolically concise open-form partial differential equations via enhanced reinforcement learning.Physical Review Research, 6 (1):013182, 2024

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation 22775bff-ff4a-4baa-9118-d465a5d0f4b8 · outbound

This paper cites Weak sindy for partial differential equations.Journal of Computational Physics, 443:110525, 2021.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Weak sindy for partial differential equations.Journal of Computational Physics, 443:110525, 2021

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation 88d8c456-6719-425b-8d03-4ccaf3272bd3 · outbound

This paper cites Generative discovery of partial differential equations by learning from math handbooks.Nature Communications, 16(1):10255, 2025.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Generative discovery of partial differential equations by learning from math handbooks.Nature Communications, 16(1):10255, 2025

Reference 35

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Observation 2385c437-1a95-4d78-9a8b-7841d3ed4a19 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Fourier Neural Operator for Parametric Partial Differential Equations

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation 3d95534f-a014-43e7-ae9f-4b614a8bca9e · outbound

This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.Nature machine intelligence, 3(3):218–229, 2021.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.Nature machine intelligence, 3(3):218–229, 2021

Reference 37

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Observation 2192be0b-91bb-460f-89eb-f86738202c3b · outbound

This paper cites Distilling free-form natural laws from experimental data.science, 324 (5923):81–85, 2009.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Distilling free-form natural laws from experimental data.science, 324 (5923):81–85, 2009

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation 40a29577-d328-4ca5-aba8-a86b29cbc6bc · outbound

This paper cites Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation 7de658bd-7c70-4e7b-a862-856d279e1d56 · outbound

This paper cites Partial differential equations discovery with epde framework: Application for real and synthetic data.Journal of Computational Science, 53: 101345, 2021.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Partial differential equations discovery with epde framework: Application for real and synthetic data.Journal of Computational Science, 53: 101345, 2021

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-14T10:56:35.866730Z

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Observation f8ccaa05-90c8-4dfe-8083-7adf15675a2b · outbound

This paper cites Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients

Reference 41

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Observation b29c7f95-2789-4765-87e7-6cf7a8e265a3 · outbound

This paper cites Morl4pdes: Data-driven discovery of pdes based on multi-objective optimization and reinforcement learning.Chaos, Solitons & Fractals, 180: 114536, 2024.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Morl4pdes: Data-driven discovery of pdes based on multi-objective optimization and reinforcement learning.Chaos, Solitons & Fractals, 180: 114536, 2024

Reference 42

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Observation a6ba20a9-f3ab-470e-8e78-a56fee9d5160 · outbound

This paper cites The coefficient of determination r-squared is more informative than smape, mae, mape, mse and rmse in regression analysis evaluation.Peerj computer science, 7:e623, 2021.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation The coefficient of determination r-squared is more informative than smape, mae, mape, mse and rmse in regression analysis evaluation.Peerj computer science, 7:e623, 2021

Reference 43

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Observation 981e4d7f-9179-48b9-b6b0-6bdfb053a3d9 · outbound

This paper cites Hybrid cnn-transformer network with a weighted mse loss for global sea surface wind speed retrieval from gnss-r data.IEEE Transactions on Geoscience and Remote Sensing, 2025.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Hybrid cnn-transformer network with a weighted mse loss for global sea surface wind speed retrieval from gnss-r data.IEEE Transactions on Geoscience and Remote Sensing, 2025

Reference 44

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Observation 89f73835-c550-4c84-a862-cb2c0329329a · outbound

This paper cites SIAM, 2007.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation SIAM, 2007

Reference 45

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Observation 67c2801a-cf92-45f6-bccd-012c0bdfc1d7 · outbound

This paper cites Springer, 2006.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Springer, 2006

Reference 46

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Observation a0a0f2b3-2fd4-44b7-8ef7-bac144b3baaf · outbound

This paper cites A structured l-bfgs method and its application to inverse problems.Inverse Problems, 40(4):045022, 2024.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation A structured l-bfgs method and its application to inverse problems.Inverse Problems, 40(4):045022, 2024

Reference 47

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Observation adcdec22-76a4-40ad-bc77-e93ff980790f · outbound

This paper cites Era5- land: A state-of-the-art global reanalysis dataset for land applications.Earth system science data, 13(9): 4349–4383, 2021.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Era5- land: A state-of-the-art global reanalysis dataset for land applications.Earth system science data, 13(9): 4349–4383, 2021

Reference 48

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Observation e4141155-c777-47a3-bb74-751d169e3192 · outbound

This paper cites An evaluation of era5 precipitation for climate monitoring.Quarterly Journal of the Royal Meteorological Society, 148(748):3152–3165, 2022.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation An evaluation of era5 precipitation for climate monitoring.Quarterly Journal of the Royal Meteorological Society, 148(748):3152–3165, 2022

Reference 49

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Observation 314febda-4d0c-4f87-9379-488a3d09b60b · outbound

This paper cites The era5 global reanalysis from 1940 to 2022.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation The era5 global reanalysis from 1940 to 2022

Reference 50

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Observation 996f1cde-e171-44b2-bffe-ed15383416de · outbound

This paper cites For functions, use ONLYnp.sin,np.cos,np.tanh, andnp.exp.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation For functions, use ONLYnp.sin,np.cos,np.tanh, andnp.exp

Reference 51

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Observation 41c7eca0-9a28-46dd-8b53-1d8eba7eb8de · outbound

This paper cites Do not use hard-coded numbers.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Do not use hard-coded numbers

Reference 52

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Observation 295e113f-de2b-462a-84b9-13dc1f3384b2 · outbound

This paper cites an unresolved cited work.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation Unresolved cited work

Reference 53

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Observation edd7ddc8-ae8c-4b8f-adcf-8d74eef9e3d6 · outbound

This paper cites • Forced Quintic Swift-Hohenberg:.

LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation • Forced Quintic Swift-Hohenberg:

Reference 54

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