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math.NA2026
Distance-Residual Physics-Informed Neural Networks: A Deep Learning Framework for Differential and Partial Differential Inclusions
Maria Filipkovska, Juan José Mar\'ın, Isil Oner +2
We introduce Distance-Residual Physics-Informed Neural Networks (DR-PINNs), a physics-informed learning framework for approximating solutions of ordinary and partial differential i…
math.NA2022
Combined methods for solving time-varying semilinear differential-algebraic equations with the use of spectral projectors and applications
Maria Filipkovska
Two combined methods for computing solutions of time-varying semilinear differential-algebraic equations (descriptor systems) are obtained. When constructing the methods, time-vary…
math.NA2018★ 1 cited
Two combined methods for the global solution of implicit semilinear differential equations with the use of spectral projectors and Taylor expansions
M. S. Filipkovska
Two combined numerical methods for solving semilinear differential-algebraic equations (DAEs) are obtained and their convergence is proved. The comparative analysis of these method…