Constrained physics informed deep implicit neural network for ordinary and partial differential equations

S M Sivalingam; V. Govindaraj; Shruti Dubey

doi:10.1016/j.matcom.2025.08.006

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Constrained physics informed deep implicit neural network for ordinary and partial differential equations

S M Sivalingam V. Govindaraj Shruti Dubey

Year: 2025 Journal: Mathematics and Computers in Simulation Vol: 241 Pages: 104-133 Publisher: Elsevier BV

DOI: 10.1016/j.matcom.2025.08.006

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Keywords:

Artificial neural network Partial differential equation Ordinary differential equation Explicit and implicit methods Applied mathematics Computer science Differential equation Mathematics Calculus (dental) Differential algebraic equation Mathematical analysis Artificial intelligence Medicine

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Model Reduction and Neural Networks

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Numerical methods for differential equations

Physical Sciences → Mathematics → Numerical Analysis

Nuclear Engineering Thermal-Hydraulics

Physical Sciences → Engineering → Aerospace Engineering

Constrained physics informed deep implicit neural network for ordinary and partial differential equations

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