A homotopy method with adaptive basis selection for computing multiple solutions of differential equations
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Publication:2291939
DOI10.1007/s10915-020-01123-1OpenAlexW2670526014WikidataQ126379508 ScholiaQ126379508MaRDI QIDQ2291939
Bin Zheng, Guang Lin, Wenrui Hao, Jan S. Hesthaven
Publication date: 31 January 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01123-1
Numerical methods for ordinary differential equations (65Lxx) Boundary value problems for ordinary differential equations (34Bxx) Nonlinear algebraic or transcendental equations (65Hxx)
Related Items (4)
A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation ⋮ HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations ⋮ HomPINNs: homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions ⋮ Convergence analysis of neural networks for solving a free boundary problem
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Cites Work
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