solution operator Latest Research Papers

A partial solution operator discretization-based method for small signal stability analysis of time-delay power systems

International Journal of Electrical Power & Energy Systems ◽

10.1016/j.ijepes.2021.107327 ◽

2022 ◽

Vol 134 ◽

pp. 107327

Author(s):

Qianying Mou ◽

Hua Ye ◽

Yutian Liu ◽

Yan Xu

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Power Systems ◽

Partial Solution ◽

Solution Operator ◽

Small Signal ◽

Small Signal Stability ◽

Signal Stability ◽

Small Signal Stability Analysis

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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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On the properties of canonical solution operator to $${\bar{\partial }}$$ restricted to Dirichlet space

Complex Analysis and its Synergies ◽

10.1007/s40627-021-00081-0 ◽

2021 ◽

Vol 7 (2) ◽

Author(s):

Yucheng Li ◽

Ying Zhang

Keyword(s):

Dirichlet Space ◽

Solution Operator ◽

Canonical Solution

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Infinite norm of the derivative of the solution operator of Euler equations

Physics of Fluids ◽

10.1063/5.0043862 ◽

2021 ◽

Vol 33 (3) ◽

pp. 035120

Author(s):

Y. Charles Li

Keyword(s):

Euler Equations ◽

Solution Operator ◽

Infinite Norm

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Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping

SIAM Journal on Mathematical Analysis ◽

10.1137/21m1399658 ◽

2021 ◽

Vol 53 (6) ◽

pp. 6724-6770

Author(s):

Jeffrey Galkowski ◽

Pierre Marchand ◽

Euan A. Spence

Keyword(s):

Solution Operator

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On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem

SIAM Journal on Control and Optimization ◽

10.1137/20m135916x ◽

2021 ◽

Vol 59 (5) ◽

pp. 3683-3707

Author(s):

Anne-Therese Rauls ◽

Stefan Ulbrich

Keyword(s):

Obstacle Problem ◽

Solution Operator ◽

Generalized Derivatives

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Non-Autonomous Dynamics and Product Formula Approximation of Solution Operator

The interdisciplinary journal of Discontinuity Nonlinearity and Complexity ◽

10.5890/dnc.2020.12.011 ◽

2020 ◽

Vol 9 (4) ◽

pp. 579-590

Author(s):

Valentin A. Zagrebnov

Keyword(s):

Product Formula ◽

Solution Operator

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Existence of R‐bounded solution operator families for a compressible fluid model of Korteweg type on the half‐space

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6875 ◽

2020 ◽

Vol 44 (2) ◽

pp. 1744-1787

Author(s):

Hirokazu Saito

Keyword(s):

Half Space ◽

Compressible Fluid ◽

Bounded Solution ◽

Fluid Model ◽

Solution Operator

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From Stepwise Integrations and Low-rank Updates to a Pseudospectral Solution Operator Matrix for the Helmholtz Operator $\frac{d}{dx} a(x) \frac{d}{dx} + c(x)$

Taiwanese Journal of Mathematics ◽

10.11650/tjm/200802 ◽

2020 ◽

Author(s):

Yung-Ta Li ◽

Ping-Hsuan Tsai ◽

Chun-Hao Teng

Keyword(s):

Low Rank ◽

Solution Operator ◽

Operator Matrix ◽

Helmholtz Operator

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solution operator
Recently Published Documents

TOTAL DOCUMENTS

H-INDEX

A partial solution operator discretization-based method for small signal stability analysis of time-delay power systems

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

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

On the properties of canonical solution operator to $${\bar{\partial }}$$ restricted to Dirichlet space

Infinite norm of the derivative of the solution operator of Euler equations

Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping

On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem

Non-Autonomous Dynamics and Product Formula Approximation of Solution Operator

Existence of R‐bounded solution operator families for a compressible fluid model of Korteweg type on the half‐space

From Stepwise Integrations and Low-rank Updates to a Pseudospectral Solution Operator Matrix for the Helmholtz Operator $\frac{d}{dx} a(x) \frac{d}{dx} + c(x)$

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solution operatorRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

A partial solution operator discretization-based method for small signal stability analysis of time-delay power systems

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

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

On the properties of canonical solution operator to $${\bar{\partial }}$$ restricted to Dirichlet space

Infinite norm of the derivative of the solution operator of Euler equations

Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping

On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem

Non-Autonomous Dynamics and Product Formula Approximation of Solution Operator

Existence of R‐bounded solution operator families for a compressible fluid model of Korteweg type on the half‐space

From Stepwise Integrations and Low-rank Updates to a Pseudospectral Solution Operator Matrix for the Helmholtz Operator $\frac{d}{dx} a(x) \frac{d}{dx} + c(x)$

solution operator
Recently Published Documents