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Digital Approximations for Pseudo-Differential Equations and Error Estimates
2019We consider a discrete version of pseudo-differential operators and equations in appropriate discrete functional spaces. Using a special factorization for an elliptic symbol we obtain certain results on a solvability for such discrete equations and give a comparison between discrete and continuous solutions.
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Solving integral equations in free space with inverse-designed ultrathin optical metagratings
Nature Nanotechnology, 2023Andrea Cordaro, Andrea Alu
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Pseudo-Differential Equations on Manifolds with Non-smooth Boundaries
2013We discuss the different variants of multidimensional Riemann boundary problem and suggest to use wave factorization to obtain solvability conditions for pseudo-differential equations in model non-smooth domains.
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DeepXDE: A Deep Learning Library for Solving Differential Equations
SIAM Review, 2021Lu Lu, George E Karniadakis
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On solvability of some pseudo-differential equations
Proceeding of the International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin, 2018Georgii Nikolaevich Aver'yanov +1 more
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race
New England Journal of Medicine, 2021Lesley A Inker +2 more
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Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations
Living Reviews in Relativity, 2012Olivier Sarbach, Manuel Tiglio
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Revised Equations for Estimated GFR From Serum Creatinine in Japan
American Journal of Kidney Diseases, 2009Kosaku Nitta +2 more
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