- Inverse inequalities for kernel-based approximation on bounded domains and Riemannian manifolds
2025/08/07 by Sun, Zhengjie, Ling, Leevan · 2 citations
#41A17 #65D05 #65D12 #FOS: Mathematics #Numerical Analysis (math.NA)
- Generalized local polynomial reproductions
2024/10/16 by Hangelbroek, Thomas, Rieger, Christian, Wright, Grady B. · 1 citation
#14P05 #32E30 #41A17 #65D05 #65D12 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical Analysis (math.NA)
- L^∞-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition
2024/03/27 by Frederik Köhne, Köhne, Frederik, Friedrich Philipp +7 · 6 citations
Engineering · Physics and Astronomy · #37M99 #41A05 #47B32 #47B33 #65D12 #Dynamical Systems (math.DS) #FOS: Mathematics #Model Reduction and Neural Networks #Nuclear Engineering Thermal-Hydraulics #Nuclear reactor physics and engineering #Numerical Analysis (math.NA)
- Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems
2024/03/06 by Bucelli, Michele, Regazzoni, Francesco, Dede', Luca +1 · 1 citation
#65D05 #65D12 #65M60 #FOS: Mathematics #Numerical Analysis (math.NA)
- A comparison of rational and neural network based approximations
2023/03/08 by Vinesha Peiris, Peiris, Vinesha, R. Díaz Millán +5 · 1 citation
Computer Science · Engineering · #41A20 #41A50 #41A63 #65D10 #65D12 #65D15 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural Networks and Applications #Numerical Methods and Algorithms #Optimization and Control (math.OC) #Reservoir Engineering and Simulation Methods
- Extending error bounds for radial basis function interpolation to measuring the error in higher order Sobolev norms
2023/02/14 by Thomas Hangelbroek, Christian Rieger, Hangelbroek, Thomas +1 · 2 citations
Engineering · #41A17 #41A25 #65D12 #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
- Scaling of Radial Basis Functions
2022/10/11 by Elisabeth Larsson, Larsson, Elisabeth, Robert Schaback +1 · 2 citations
Engineering · Physics and Astronomy · #41A05 #41A30 #41A65 #65D05 47B32 #65D12 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in engineering
- HODLR2D: A new class of Hierarchical matrices
2022/04/12 by Kandappan, V A, Gujjula, Vaishnavi, Ambikasaran, Sivaram · 1 citation
#05C50 #31A10 #65D12 #65F55 #FOS: Mathematics #Numerical Analysis (math.NA)
- Energy-stable global radial basis function methods on summation-by-parts form
2022/04/07 by Jan Glaubitz, Jan Nordström, Glaubitz, Jan +3 · 2 citations
Engineering · #65D12 #65D25 #65N12 #65N35 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering