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math.NA2024
A note on best n-term approximation for generalized Wiener classes
Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk
We determine the best n-term approximation of generalized Wiener model classes in a Hilbert space . This theory is then applied to several special cases.
math.NA2024
Convergence and error control of consistent PINNs for elliptic PDEs
Andrea Bonito, Ronald DeVore, Guergana Petrova +1
We provide an a priori analysis of collocation methods for solving elliptic boundary value problems. They begin with information in the form of point values of the data and utilize…