Data-driven, ML-assisted approaches to problem well-posedness. [PDF]
PNAS NexusBertalan T +5 more
europepmc +1 more source
Steady Vortex Sheets in Presence of Surface Tension. [PDF]
J Math Fluid MechMurgante F, Roulley E, Scrobogna S.
europepmc +1 more source
A stability-enhanced preconditioned Haar wavelet scheme for the solution of Poisson and Helmholtz equations. [PDF]
Sci RepK A, Karkera H.
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The finite element neural network method to simulate two dimensional partial differential equations and perform parameter identification. [PDF]
Sci RepAbda M +7 more
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Simultaneous Numerical Determination of Two Time-dependent Coefficients in Second Order Parabolic Equation With Nonlocal Initial and Boundary Conditions. [PDF]
F1000ResA J Al-Shatrah M, Sabah Hussein M.
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Inverse and Ill-Posed problems for nonlinear PDE: applications to life and social sciences
Симпозиум «Математическое моделирование и высокопроизводительные вычисления в биоинформатике, биомедицине и биотехнологии», 2018 openaire +1 more source
Physics-Informed Machine Learning in Biomedical Science and Engineering. [PDF]
Annu Rev Biomed EngAhmadi N +3 more
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Implementing physics-informed neural networks with deep learning for differential equations. [PDF]
Front Artif IntellEmmert-Streib F +3 more
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Parameter identification for PDEs using sparse interior data and a recurrent neural network. [PDF]
Sci RepLong J, Khaliq A, Furati KM.
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On rate optimality for ill-posed inverse problems in econometrics [PDF]
In this paper, we clarify the relations between the existing sets of regularity conditions for convergence rates of nonparametric indirect regression (NPIR) and nonparametric instrumental variables (NPIV) regression models.
Xiaohong Chen, Markus Reiss
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