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1Hyperelasticity—Wolfram Language Documentation
https://reference.wolfram.com/language/PDEModels/tutorial/StructuralMechanics/Hyperelasticity.html#170965574
18 days ago by @knaevelboerrar
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elasticity
engineering
mathematics
pde
elasticityengineeringmathematicspde
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1real analysis - Bound on uniform norm of convolution of $L^p$ functions - Mathematics Stack Exchange
https://math.stackexchange.com/questions/793420/bound-on-uniform-norm-of-convolution-of-lp-functions?rq=1
2 months ago by @knaevelboerrar
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functional-analysis
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pde
functional-analysismathematicspde
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1partial differential equations - Question regarding Evan's proof of Global Approximation by $C^∞(\overline{U})$ functions - Mathematics Stack Exchange
https://math.stackexchange.com/questions/1729397/question-regarding-evans-proof-of-global-approximation-by-c%E2%88%9E-overlineu-f?rq=1
2 months ago by @knaevelboerrar
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1sobolev spaces - Global approximation by functions smooth up to the boundary - Mathematics Stack Exchange
https://math.stackexchange.com/questions/4109881/global-approximation-by-functions-smooth-up-to-the-boundary
2 months ago by @knaevelboerrar
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1real analysis - Properties of mollification for integrable functions - Mathematics Stack Exchange
https://math.stackexchange.com/questions/1969871/properties-of-mollification-for-integrable-functions
2 months ago by @knaevelboerrar
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functional-analysis
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1real analysis - Proving that mollified function has compact support for $\nu$ large enough - Mathematics Stack Exchange
https://math.stackexchange.com/questions/2951628/proving-that-mollified-function-has-compact-support-for-nu-large-enough
3 months ago by @knaevelboerrar
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functional-analysis
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1real analysis - proof of the Meyers-Serrin Theorem in Evans's PDE book - Mathematics Stack Exchange
https://math.stackexchange.com/questions/1521739/proof-of-the-meyers-serrin-theorem-in-evanss-pde-book
3 months ago by @knaevelboerrar
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functional-analysis
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1FEM Skript Juengel 2001
https://www.tuwien.at/index.php?eID=dumpFile&t=f&f=188856&token=858e472985ae8b68f353c303310259da177d0de6
3 months ago by @knaevelboerrar
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1ordinary differential equations - Diffusion smoothing - Mathematics Stack Exchange
https://math.stackexchange.com/questions/2623632/diffusion-smoothing
3 months ago by @knaevelboerrar
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mathematics
numerics
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mathematicsnumericspde
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1Laplace's Equation with Cauchy data - Mathematics Stack Exchange
https://math.stackexchange.com/questions/3673251/laplaces-equation-with-cauchy-data
4 months ago by @knaevelboerrar
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mathematics
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1partial differential equations - Poincaré inequality for a subspace of $H^1(\Omega)$ - Mathematics Stack Exchange
https://math.stackexchange.com/questions/2050619/poincar%C3%A9-inequality-for-a-subspace-of-h1-omega
4 months ago by @knaevelboerrar
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functional-analysis
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1sobolev spaces - Proving the composition of a function with an $H^1$ function is in $H^1$. - Mathematics Stack Exchange
https://math.stackexchange.com/questions/3933357/proving-the-composition-of-a-function-with-an-h1-function-is-in-h1
4 months ago by @knaevelboerrar
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functional-analysis
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1fa.functional analysis - Chain rule for distributional derivative - MathOverflow
https://mathoverflow.net/questions/171704/chain-rule-for-distributional-derivative
a year ago by @knaevelboerrar
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functional-analysis
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1functional analysis - Confusions in Evans book regarding weak derivatives in Banach spaces - Mathematics Stack Exchange
https://math.stackexchange.com/questions/3160006/confusions-in-evans-book-regarding-weak-derivatives-in-banach-spaces
a year ago by @knaevelboerrar
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1fd_evolution_pdes_lnotes.pdf
https://itp.uni-frankfurt.de/~rezzolla/lecture_notes/2010/fd_evolution_pdes_lnotes.pdf
a year ago by @knaevelboerrar
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mathematics
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1finite difference - How can I prove numerical diffusion in upwind scheme for transport equation - Computational Science Stack Exchange
https://scicomp.stackexchange.com/questions/16130/how-can-i-prove-numerical-diffusion-in-upwind-scheme-for-transport-equation
a year ago by @knaevelboerrar
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mathematics
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1Method of characteristics for Burgers' equation with rectangular data - Mathematics Stack Exchange
https://math.stackexchange.com/questions/843118/method-of-characteristics-for-burgers-equation-with-rectangular-data
2 years ago by @knaevelboerrar
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mathematics
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1Riemann Solvers and Numerical Methods for Fluid Dynamics - ReadingSample - 9783540252023_excerpt_001.pdf
https://beckassets.blob.core.windows.net/product/readingsample/460454/9783540252023_excerpt_001.pdf
3 years ago by @knaevelboerrar
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hyperbolic
mathematics
pde
hyperbolicmathematicspde
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1partial differential equations - Why is a first order PDE hyperbolic? - Mathematics Stack Exchange
https://math.stackexchange.com/questions/4382895/why-is-a-first-order-pde-hyperbolic
3 years ago by @knaevelboerrar
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mathematics
hyperbolic
pde
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1partial differential equations - Mathematical precise definition of a PDE being elliptic, parabolic or hyperbolic - Mathematics Stack Exchange
https://math.stackexchange.com/questions/21525/mathematical-precise-definition-of-a-pde-being-elliptic-parabolic-or-hyperbolic/21540#21540
3 years ago by @knaevelboerrar
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mathematics
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publications (hide)73
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6NeuralPDE: Modelling Dynamical Systems from Data
A. Dulny, A. Hotho, and A. Krause. KI 2022: Advances in Artificial Intelligence, page 75--89. Cham, Springer International Publishing, (2022)
7 months ago by @fgallusser
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PDE
PDE
(0)
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3PDEBENCH: An Extensive Benchmark for Scientific Machine Learning
M. Takamoto, T. Praditia, R. Leiteritz, D. MacKinlay, F. Alesiani, D. Pflüger, and M. Niepert. (2022)cite arxiv:2210.07182Comment: 16 pages (main body) + 34 pages (supplemental material), accepted for publication in NeurIPS 2022 Track Datasets and Benchmarks.
12 months ago by @annakrause
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benchmark
dataset
neuralpde
pde
benchmarkdatasetneuralpdepde
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2Discovery of Partial Differential Equations from Highly Noisy and Sparse Data with Physics-Informed Information Criterion
H. Xu, J. Zeng, and D. Zhang. Research, (2023)
a year ago by @martinr
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maths
neural-network
pde
mathsneural-networkpde
(0)
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3PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network
Z. Long, Y. Lu, and B. Dong. (2018)cite arxiv:1812.04426Comment: 16 pages, 15 figures. arXiv admin note: substantial text overlap with arXiv:1710.09668.
a year ago by @martinr
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PDE
deeplearning
dmir-readinggroup
maths
PDEdeeplearningdmir-readinggroupmaths
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1How to scale up from animal movement decisions to spatiotemporal patterns: An approach via step selection
J. Potts, and L. Börger. Journal of Animal Ecology, 92 (1): 16-29 (2023)
a year ago by @peter.ralph
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PDE
ecology
review
spatial_model
spatial_movement
spatial_simulations
PDEecologyreviewspatial_modelspatial_movementspatial_simulations
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1Partial Differential Equations in Ecology: Spatial Interactions and Population Dynamics
E. Holmes, M. Lewis, J. Banks, and R. Veit. Ecology, 75 (1): 17--29 (1994)
a year ago by @peter.ralph
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PDE
demographic_models
dispersal
ecology
review
PDEdemographic_modelsdispersalecologyreview
(0)
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1Modeling the spatiotemporal spread of beneficial alleles using ancient genomes
R. Muktupavela, M. Petr, L. Ségurel, T. Korneliussen, J. Novembre, and F. Racimo. eLife, (December 2022)
2 years ago by @peter.ralph
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PDE
biased_migration
spatial_demography
spatial_spread
PDEbiased_migrationspatial_demographyspatial_spread
(0)
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1Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
M. Raissi, P. Perdikaris, and G. Karniadakis. Journal of Computational physics, (2019)
2 years ago by @becker
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pde
nn
neural
network
partial
differential
equation
round1
citedby:scholar:count:3855
citedby:scholar:timestamp:2022-11-11
pdennneuralnetworkpartialdifferentialequationround1citedby:scholar:count:3855citedby:scholar:timestamp:2022-11-11
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1DeepXDE: A deep learning library for solving differential equations
L. Lu, X. Meng, Z. Mao, and G. Karniadakis. SIAM Review, 63 (1): 208--228 (2021)
2 years ago by @becker
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pde
nn
neural
network
partial
differential
equation
round1
citedby:scholar:count:574
citedby:scholar:timestamp:2022-11-11
pdennneuralnetworkpartialdifferentialequationround1citedby:scholar:count:574citedby:scholar:timestamp:2022-11-11
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1Three ways to solve partial differential equations with neural networks—A review
J. Blechschmidt, and O. Ernst. GAMM-Mitteilungen, 44 (2): e202100006 (2021)
2 years ago by @becker
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pde
nn
neural
network
partial
differential
equation
round1
citedby:scholar:count:48
citedby:scholar:timestamp:2022-11-11
pdennneuralnetworkpartialdifferentialequationround1citedby:scholar:count:48citedby:scholar:timestamp:2022-11-11
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3Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next
S. Cuomo, V. Di Cola, F. Giampaolo, G. Rozza, M. Raissi, and F. Piccialli. arXiv preprint arXiv:2201.05624, (2022)
2 years ago by @becker
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pde
nn
neural
network
partial
differential
equation
round1
citedby:scholar:count:45
citedby:scholar:timestamp:2022-11-11
pdennneuralnetworkpartialdifferentialequationround1citedby:scholar:count:45citedby:scholar:timestamp:2022-11-11
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2Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations
M. Raissi, P. Perdikaris, and G. Karniadakis. (2017)cite arxiv:1711.10561.
2 years ago by @annakrause
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neuralpde
pde
proj:magnet
todo:read
neuralpdepdeproj:magnettodo:read
(0)
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6Neural Ordinary Differential Equations
R. Chen, Y. Rubanova, J. Bettencourt, and D. Duvenaud. (2018)cite arxiv:1806.07366.
3 years ago by @annakrause
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neuralodes
neuralpde
pde
sem_wise2223
todo:read
neuralodesneuralpdepdesem_wise2223todo:read
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1Neural Operator: Learning Maps Between Function Spaces
N. Kovachki, Z. Li, B. Liu, K. Azizzadenesheli, K. Bhattacharya, A. Stuart, and A. Anandkumar. (2021)cite arxiv:2108.08481.
3 years ago by @annakrause
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climate
nueralpde
ode
pde
todo:read
climatenueralpdeodepdetodo:read
(0)
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2Neural Operator: Graph Kernel Network for Partial Differential Equations
Z. Li, N. Kovachki, K. Azizzadenesheli, B. Liu, K. Bhattacharya, A. Stuart, and A. Anandkumar. (2020)cite arxiv:2003.03485.
3 years ago by @annakrause
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climate
neuralpde
pde
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climateneuralpdepdetodo:read
(0)
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4NeuralPDE: Modelling Dynamical Systems from Data
A. Dulny, A. Hotho, and A. Krause. (2021)cite arxiv:2111.07671.
3 years ago by @dmir
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2021
app_eco
author:KRAUSE
core-ml
from:hotho
learning
model
myown
network
neural
pde
2021app_ecoauthor:KRAUSEcore-mlfrom:hotholearningmodelmyownnetworkneuralpde
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3Fourier Neural Operator for Parametric Partial Differential Equations
Z. Li, N. Kovachki, K. Azizzadenesheli, B. Liu, K. Bhattacharya, A. Stuart, and A. Anandkumar. (2020)cite arxiv:2010.08895.
3 years ago by @annakrause
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fourieroperator
neuraloperator
neuralpde
pde
fourieroperatorneuraloperatorneuralpdepde
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4NeuralPDE: Modelling Dynamical Systems from Data
A. Dulny, A. Hotho, and A. Krause. (2021)cite arxiv:2111.07671.
3 years ago by @hotho
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2021
learning
model
myown
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pde
2021learningmodelmyownnetworkneuralpde
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1Universal Differential Equations for Scientific Machine Learning
C. Rackauckas, Y. Ma, J. Martensen, C. Warner, K. Zubov, R. Supekar, D. Skinner, A. Ramadhan, and A. Edelman. (2020)cite arxiv:2001.04385Comment: 3 figures, 2 tables, 3 supplemental figures, 27 pages, 18 supplemental pages.
3 years ago by @annakrause
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deeplearning
neuralpde
pde
ude
deeplearningneuralpdepdeude
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3PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network
Z. Long, Y. Lu, and B. Dong. (2018)cite arxiv:1812.04426Comment: 16 pages, 15 figures. arXiv admin note: substantial text overlap with arXiv:1710.09668.
3 years ago by @annakrause
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PDE
deeplearning
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PDEdeeplearningtodo:read
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