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DGM: A deep learning algorithm for solving partial differential equations
DGM: A deep learning algorithm for solving partial differential equations
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DGM: A deep learning algorithm for solving partial differential equations

Sirignano, Justin ; Spiliopoulos, Konstantinos

Journal of computational physics, 2018-12, Vol.375, p.1339-1364 [Periódico revisado por pares]

Cambridge: Elsevier Inc

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Adaptive activation functions accelerate convergence in deep and physics-informed neural networks
Adaptive activation functions accelerate convergence in deep and physics-informed neural networks
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Adaptive activation functions accelerate convergence in deep and physics-informed neural networks

Jagtap, Ameya D. ; Kawaguchi, Kenji ; Karniadakis, George Em

Journal of computational physics, 2020-03, Vol.404 (C), p.109136, Article 109136 [Periódico revisado por pares]

Cambridge: Elsevier Inc

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Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
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Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Raissi, M. ; Perdikaris, P. ; Karniadakis, G.E.

Journal of computational physics, 2019-02, Vol.378, p.686-707 [Periódico revisado por pares]

Cambridge: Elsevier Inc

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4
Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

Sakamoto, Kenichi ; Yamamoto, Masahiro

Journal of mathematical analysis and applications, 2011-10, Vol.382 (1), p.426-447 [Periódico revisado por pares]

Amsterdam: Elsevier Inc

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5
Inferring solutions of differential equations using noisy multi-fidelity data
Inferring solutions of differential equations using noisy multi-fidelity data
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Inferring solutions of differential equations using noisy multi-fidelity data

Raissi, Maziar ; Perdikaris, Paris ; Karniadakis, George Em

Journal of computational physics, 2017-04, Vol.335, p.736-746 [Periódico revisado por pares]

Cambridge: Elsevier Inc

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6
Machine learning of linear differential equations using Gaussian processes
Machine learning of linear differential equations using Gaussian processes
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Machine learning of linear differential equations using Gaussian processes

Raissi, Maziar ; Perdikaris, Paris ; Karniadakis, George Em

Journal of computational physics, 2017-11, Vol.348, p.683-693 [Periódico revisado por pares]

Cambridge: Elsevier Inc

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7
A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains
A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains
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A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains

Jia, Jinhong ; Wang, Hong

Computers & mathematics with applications (1987), 2018-03, Vol.75 (6), p.2031-2043 [Periódico revisado por pares]

Oxford: Elsevier Ltd

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8
Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations
Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations
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Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations

Dong, Suchuan ; Li, Zongwei

Computer methods in applied mechanics and engineering, 2021-12, Vol.387, p.114129, Article 114129 [Periódico revisado por pares]

Amsterdam: Elsevier B.V

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9
Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
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Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation

Luchko, Yury

Journal of mathematical analysis and applications, 2011-02, Vol.374 (2), p.538-548 [Periódico revisado por pares]

Amsterdam: Elsevier Inc

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10
A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces
A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces
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A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces

Chlebicka, Iwona

Nonlinear analysis, 2018-10, Vol.175, p.1-27 [Periódico revisado por pares]

Elmsford: Elsevier Ltd

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