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1Why do we need boundary conditions in PDE's? - Mathematics Stack Exchange
https://math.stackexchange.com/questions/2217864/why-do-we-need-boundary-conditions-in-pdes
5 years ago by @knaevelboerrar
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pde
mathematics
pdemathematics
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1What is the nature of a first order partial differential equation and why? Is it parabolic, hyperbolic or elliptic?
https://www.researchgate.net/post/What_is_the_nature_of_a_first_order_partial_differential_equation_and_why_Is_it_parabolic_hyperbolic_or_elliptic
3 years ago by @knaevelboerrar
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pde
mathematics
pdemathematics
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1Uintah
http://www.uintah.utah.edu/
12 years ago by @m.vavalis
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PDE
Multicore
PDEMulticore
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2The Heat Equation: a Python implementation | The Beginner Programmer
http://firsttimeprogrammer.blogspot.com/2015/07/the-heat-equation-python-implementation.html
6 years ago by @analyst
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pde
python
article
numerical
blog
programming
pdepythonarticlenumericalblogprogramming
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2The Beginner Programmer: The Heat Equation: a Python implementation
http://firsttimeprogrammer.blogspot.com/2015/07/the-heat-equation-python-implementation.html
6 years ago by @knaevelboerrar
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pde
dev
mathematics
numerics
pdedevmathematicsnumerics
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1Terry Tao: notes on entropy, energy, etc (Bakry-Emery Theory)
https://terrytao.wordpress.com/2013/02/05/some-notes-on-bakry-emery-theory/#more-6479
11 years ago by @peter.ralph
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PDE
entropy
Brownian_motion
stochastic_processes
PDEentropyBrownian_motionstochastic_processes
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1Solving PDEs
http://audiophile.tam.cornell.edu/randdocs/PDE_handout/PDE15.pdf
6 years ago by @knaevelboerrar
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pde
pde
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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
2 months ago by @knaevelboerrar
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mathematics
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pdemathematicsfunctional-analysis
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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
21 days ago by @knaevelboerrar
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pde
mathematics
functional-analysis
pdemathematicsfunctional-analysis
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1Separation of Variables (PDE)
http://www.math.mcgill.ca/labute/courses/319b.01/linear2.pdf
6 years ago by @knaevelboerrar
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pde
mathematics
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1Separation of variables
https://ocw.mit.edu/courses/mathematics/18-303-linear-partial-differential-equations-fall-2006/lecture-notes/heateqni.pdf
6 years ago by @knaevelboerrar
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1sectionE-separation-variables.pdf
https://www.ucl.ac.uk/~ucahhwi/LTCC/sectionE-separation-variables.pdf
6 years ago by @knaevelboerrar
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pde
mathematics
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1Second order linear PDEs
http://www.maths.manchester.ac.uk/~dabrahams/MATH64062/PDE%20-%20section%203.pdf
6 years ago by @knaevelboerrar
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pde
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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
2 years ago by @knaevelboerrar
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pde
hyperbolic
mathematics
pdehyperbolicmathematics
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1reference request - What's energy method? - Mathematics Stack Exchange
https://math.stackexchange.com/questions/3048292/whats-energy-method
5 years ago by @knaevelboerrar
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pde
mathematics
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1Reference for Bochner space. - Mathematics Stack Exchange
https://math.stackexchange.com/questions/2279675/reference-for-bochner-space
5 years ago by @knaevelboerrar
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pde
mathematics
functional-analysis
pdemathematicsfunctional-analysis
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1real analysis - Smooth extension of a continuous function on the boundary of a domain - Mathematics Stack Exchange
https://math.stackexchange.com/questions/1454470/smooth-extension-of-a-continuous-function-on-the-boundary-of-a-domain
5 years ago by @knaevelboerrar
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pde
mathematics
functional-analysis
pdemathematicsfunctional-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
29 days ago by @knaevelboerrar
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pde
mathematics
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pdemathematicsfunctional-analysis
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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
21 days ago by @knaevelboerrar
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pde
mathematics
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pdemathematicsfunctional-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
29 days ago by @knaevelboerrar
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1Wright–Fisher Diffusion in One Dimension
C. Epstein, and R. Mazzeo. SIAM Journal on Mathematical Analysis, 42 (2): 568-608 (2010)
9 years ago by @peter.ralph
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PDE
Wright-Fisher_diffusion
spectral_theory
potential_theory
PDEWright-Fisher_diffusionspectral_theorypotential_theory
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1Variational Autoencoding of PDE Inverse Problems
D. Tait, and T. Damoulas. (2020)cite arxiv:2006.15641.
3 years ago by @peter.ralph
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PDE
inverse_problems
deep_learning
PDEinverse_problemsdeep_learning
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1Use of CNN processors for ultra-fast solution ODE's and POE's: A renaissance of the analog computer
?. (2009)cited By (since 1996) 0.
15 years ago by @m.vavalis
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PDE
FPGA
PDEFPGA
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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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pde
deeplearning
ude
neuralpde
pdedeeplearningudeneuralpde
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1Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions
V. Bogachev, M. Rockner, and W. Stannat. Sbornik: Mathematics, 193 (7): 945 (2002)
13 years ago by @peter.ralph
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PDE
diffusions
PDEdiffusions
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1Two-dimensional compressible flow simulation on emulated digital CNN-UM
?. (2008)cited By (since 1996) 0.
15 years ago by @m.vavalis
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PDE
FPGA
PDEFPGA
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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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equation
pde
neural
round1
citedby:scholar:count:48
partial
network
citedby:scholar:timestamp:2022-11-11
differential
nn
equationpdeneuralround1citedby:scholar:count:48partialnetworkcitedby:scholar:timestamp:2022-11-11differentialnn
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1The linear stability of the Schwarzschild solution to gravitational perturbations
M. Dafermos, G. Holzegel, and I. Rodnianski. Acta Mathematica, 222 (1): 1--214 (2019)
4 years ago by @igorkhavkine
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pde
linear
null-surface
double-null-foliation
black-hole
gr
schwarzschild
perturbations
stability
pdelinearnull-surfacedouble-null-foliationblack-holegrschwarzschildperturbationsstability
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1Speedup using flowpaths for a finite difference solution of a 3D parabolic PDE
?. (2007)cited By (since 1996) 0.
15 years ago by @m.vavalis
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PDE
FPGA
PDEFPGA
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1Solving inverse-PDE problems with physics-aware neural networks
S. Pakravan, P. Mistani, M. Aragon-Calvo, and F. Gibou. (2020)
5 years ago by @peter.ralph
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PDE
inverse_problems
neural_networks
PDEinverse_problemsneural_networks
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1Simulation of Two-Dimensional supersonic flows on emulated-digital CNN-UM
?. Eurasip Journal on Advances in Signal Processing, (2009)cited By (since 1996) 0.
15 years ago by @m.vavalis
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PDE
FPGA
PDEFPGA
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1Simulation of 2D inviscid, adiabatic, compressible flows on emulated digital CNN-UM
?. International Journal of Circuit Theory and Applications, 37 (4): 569-585 (2009)cited By (since 1996) 0.
15 years ago by @m.vavalis
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PDE
FPGA
PDEFPGA
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2Scientific 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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equation
pde
citedby:scholar:count:45
neural
round1
partial
network
citedby:scholar:timestamp:2022-11-11
differential
nn
equationpdecitedby:scholar:count:45neuralround1partialnetworkcitedby:scholar:timestamp:2022-11-11differentialnn
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2Robust Low-Rank Discovery of Data-Driven Partial Differential Equations
J. Li, G. Sun, G. Zhao, and L. wei H. Lehman. Proceedings of the AAAI Conference on Artificial Intelligence, 34 (01): 767--774 (April 2020)
3 years ago by @annakrause
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PDE
timeseries
deeplearning
climate
todo:read
PDEtimeseriesdeeplearningclimatetodo:read
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1Reaction-diffusion equations with randomly perturbed boundary conditions
M. Freidlin, and A. Wentzell. Ann. Probab., 20 (2): 963--986 (1992)
11 years ago by @peter.ralph
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PDE
stochastic_boundary_conditions
noisy_system
PDEstochastic_boundary_conditionsnoisy_system
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1Probabilistic models of the low-level visual system: the role of prediction in detecting motion
L. Perrinet. LADISLAV TAUC & GDR MSPC NEUROSCIENCES CONFERENCE, From Mathematical Image Analysis to Neurogeometry of the Brain, (2010)
14 years ago by @meduz
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neural\_masses
probabilistic\_framework
ocular\_following\_response
particle\_filter
2d\_motion
neuronal\_representation
motion\_perception
pde
center-surround
divisive\_normalization
bayesian\_modeling
navier-stokes
motion\_segmentation
neural\_massesprobabilistic\_frameworkocular\_following\_responseparticle\_filter2d\_motionneuronal\_representationmotion\_perceptionpdecenter-surrounddivisive\_normalizationbayesian\_modelingnavier-stokesmotion\_segmentation
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1Pipelined mixed precision algorithms on FPGAs for fast and accurate PDE solvers from low precision components
?. (2006)cited By (since 1996) 2.
15 years ago by @m.vavalis
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PDE
FPGA
PDEFPGA
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2Pipelined Mixed Precision Algorithms on FPGAs for Fast and Accurate PDE Solvers from Low Precision Components
R. Strzodka, and D. Göddeke. IEEE Symposium on Field-Programmable Custom Computing Machines (FCCM 2006), page 259--268. (April 2006)
15 years ago by @m.vavalis
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PDE
FPGA
PDEFPGA
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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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equation
pde
citedby:scholar:count:3855
neural
round1
partial
network
citedby:scholar:timestamp:2022-11-11
differential
nn
equationpdecitedby:scholar:count:3855neuralround1partialnetworkcitedby:scholar:timestamp:2022-11-11differentialnn
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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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pde
neuralpde
proj:magnet
todo:read
pdeneuralpdeproj:magnettodo:read
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