Physical informed memory networks for solving PDEs: implementation and applications (Q6497869)

scientific article; zbMATH DE number 7843422

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English	Physical informed memory networks for solving PDEs: implementation and applications	scientific article; zbMATH DE number 7843422

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instance of

scholarly article

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title

Physical informed memory networks for solving PDEs: implementation and applications (English)

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Communications in Theoretical Physics

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publication date

6 May 2024

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zbMATH Keywords

nonlinear partial differential equations

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physics informed memory networks

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physics informed neural networks

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numerical solution

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MaRDI profile type

MaRDI publication profile

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cites work

Soliton solution of some nonlinear partial differential equations and its applications in fluid mechanics

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Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions

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The complete classification of solutions to the Riemann problem of the defocusing complex modified KdV equation

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Exotic localized vector waves in a two-component nonlinear wave system

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Far-field asymptotics for multiple-pole solitons in the large-order limit

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Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation

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Numerical methods for fractional partial differential equations

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Finite element methods for surface PDEs

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Combining machine learning and domain decomposition methods for the solution of partial differential equations—A review

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Discretizationnet: a machine-learning based solver for Navier-Stokes equations using finite volume discretization

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

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B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data

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

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A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions

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Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions

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Complex dynamics on the one-dimensional quantum droplets via time piecewise PINNs

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The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems

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An energy approach to the solution of partial differential equations in computational mechanics via machine learning: concepts, implementation and applications

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DGM: a deep learning algorithm for solving partial differential equations

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Physics informed neural networks for continuum micromechanics

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Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data

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PhyCRNet: physics-informed convolutional-recurrent network for solving spatiotemporal PDEs

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Method for Solving the Korteweg-deVries Equation

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The Korteweg–deVries Equation: A Survey of Results

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Geometric numerical schemes for the KdV equation

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The Initial-Boundary Value Problem for the Korteweg–de Vries Equation

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Solution of the Schrödinger equation by a spectral method

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The nonlinear Schrödinger equation in the finite line

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Identifiers

DOI

10.1088/1572-9494/ad1a0e

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Mathematics Subject Classification ID

81-XX

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zbMATH DE Number

7843422

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Sitelinks

Mathematics(1 entry)

mardi Publication:6497869