TY  - GEN
AB  - The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations. The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.
AU  - Junghanns, Peter,
AU  - Mastroianni, G.
AU  - Notarangelo, Incoronata.
CN  - QA431
CY  - Cham, Switzerland :
DA  - 2021.
DO  - 10.1007/978-3-030-77497-4
DO  - doi
ID  - 1438847
KW  - Integral equations
KW  - Approximation theory.
KW  - Équations intégrales
KW  - Théorie de l'approximation.
LK  - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-77497-4
N2  - The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations. The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.
PB  - Birkhäuser,
PP  - Cham, Switzerland :
PY  - 2021.
SN  - 9783030774974
SN  - 303077497X
T1  - Weighted polynomial approximation and numerical methods for integral equations /
TI  - Weighted polynomial approximation and numerical methods for integral equations /
UR  - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-77497-4
ER  -