Self-validating integration and approximation of piecewise analytic functions

Journal of Computational and Applied Mathematics

Volumn 145, Issue 2, 2002, Pages 345-359

  Petras, Knut ^a  

^a TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

Complex interval arithmetic; Verified approximation; Verified integration

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SOFTWARE; FUNCTIONS; NUMERICAL METHODS;

SELF-VALIDATING INTEGRATIONS;

INTEGRATION;

MATHEMATICAL ANALYSIS;

EID: 0037102619     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00586-6     Document Type: Article

References (13)

1. Optimal rate of integration and ε-entropy of a class of analytic functions
2. Computing narrow inclusions for definite integrals
3. Adaptive, self-validating numerical quadrature
4. Interpolation and approximation
5. Automatic, guaranteed integration of analytic functions
6. On the complexity of self-validating numerical integration and approximation of functions with singularities
7. Quadpack: A subroutine package for automatic integration
8. Automatic differentiation - techniques and applications