Learning the solution operator of parametric partial differential equations with physics-informed DeepONets

Science Advances ◽

10.1126/sciadv.abi8605 ◽

2021 ◽

Vol 7 (40) ◽

Author(s):

Sifan Wang ◽

Hanwen Wang ◽

Paris Perdikaris

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Solution Operator ◽

Partial Differential

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Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets

10.26226/morressier.612f6736bc98103724100850 ◽

2021 ◽

Cited By ~ 1

Author(s):

Paris Perdikaris ◽

Sifan Wang ◽

Hanwen Wang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Solution Operator ◽

Partial Differential

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Partial Differential Equations

10.1017/9781108839808 ◽

2020 ◽

Author(s):

A. K. Nandakumaran ◽

P. S. Datti

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations

10.1017/cbo9780511546730 ◽

2005 ◽

Cited By ~ 54

Author(s):

Dan Henry

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Partial Differential

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Partial Differential Equations in Fluid Dynamics

10.1017/cbo9780511754654 ◽

2008 ◽

Cited By ~ 4

Author(s):

Isom H. Herron ◽

Michael R. Foster

Keyword(s):

Fluid Dynamics ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Partial Differential Equations

10.1017/cbo9781139171755 ◽

1987 ◽

Cited By ~ 391

Author(s):

J. Wloka

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Dispersive Partial Differential Equations

10.1017/cbo9781316563267 ◽

2016 ◽

Cited By ~ 9

Author(s):

M. Burak Erdogan ◽

Nikolaos Tzirakis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Discrete sample estimation for gaussian random fields generated by stochastic partial differential equations

Communication in Statistics- Theory and Methods ◽

10.1080/03610929808828954 ◽

1998 ◽

Vol 14 (4) ◽

pp. 883-903

Author(s):

Jaroslav Mohapl

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Random Fields ◽

Stochastic Partial Differential Equations ◽

Gaussian Random Fields ◽

Partial Differential ◽

Discrete Sample

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CONORMAL SINGULARITIES FOR SOLUTION OF SEMILINEAR PARTIAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30260-1 ◽

1991 ◽

Vol 11 (4) ◽

pp. 425-432

Author(s):

Xiangyu Ge

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Problems in Distributions and Partial Differential Equations

10.1016/s0304-0208(08)x7001-x ◽

1988 ◽

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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A priori estimates for solutions of elliptic partial differential equations on surfaces

10.32469/10355/10133 ◽

2009 ◽

Author(s):

Heidi Steenblock

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

A Priori Estimates ◽

A Priori ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Priori Estimates

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