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Peridynamics enabled learning partial differential equations (Q2123993)

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Language	Label	Description	Also known as
English	Peridynamics enabled learning partial differential equations	scientific article

Statements

scholarly article

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Peridynamics enabled learning partial differential equations (English)

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Erdogan Madenci

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Journal of Computational Physics

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publication date

14 April 2022

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zbMATH Keywords

partial differential equations

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machine learning

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peridynamics

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sparse optimization

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jcp.2021.110193

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Automated reverse engineering of nonlinear dynamical systems

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Sparse dynamics for partial differential equations

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Discovering governing equations from data by sparse identification of nonlinear dynamical systems

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Learning partial differential equations via data discovery and sparse optimization

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Proximal Splitting Methods in Signal Processing

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Peridynamic differential operator and its applications

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Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator

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On the $O(1/n)$ Convergence Rate of the Douglas–Rachford Alternating Direction Method

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Reformulation of elasticity theory for discontinuities and long-range forces

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Peridynamic states and constitutive modeling

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Convergence of peridynamics to classical elasticity theory

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Multidimensional binary search trees used for associative searching

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Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations

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On the complete integrability of a nonlinear Schrödinger equation

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Basic principles and practical applications of the Cahn-Hilliard equation

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On Stability of Some Finite Difference Schemes for the Korteweg-de Vries Equation

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Hidden physics models: machine learning of 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

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A Class of Methods for Solving Nonlinear Simultaneous Equations

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Convergence Results for Schubert’s Method for Solving Sparse Nonlinear Equations

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GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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Peridynamic Differential Operator for Numerical Analysis

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JCP.2021.110193

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Sitelinks

Mathematics(1 entry)

mardi Publication:2123993

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