Moore, Ramon E. Methods and applications of interval analysis. (English) Zbl 0417.65022 SIAM Studies in Applied Mathematics. 2. Philadelphia: SIAM - Society for Industrial and Applied Mathematics. XI, 190 p. $ 16.00 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 ReviewsCited in 520 Documents MSC: 65G30 Interval and finite arithmetic 65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis 65C05 Monte Carlo methods 65Kxx Numerical methods for mathematical programming, optimization and variational techniques 65L05 Numerical methods for initial value problems involving ordinary differential equations 65L10 Numerical solution of boundary value problems involving ordinary differential equations 65J10 Numerical solutions to equations with linear operators Keywords:interval analysis; error-bound estimates; starting and stopping criteria; iterative methods; existence and convergence of iterative solutions; rounded interval analysis; interval extension of a real function; metric topology for intervals; linear and nonlinear algebraic systems; Gaussian elimination; interval Newton method; interval searching procedures; linear and nonlinear programming; differential equations; differential inequalities; bibliography Citations:Zbl 0176.133 Software:MPFI; PROFIL/BIAS; C-XSC 2.0 PDF BibTeX XML OpenURL Digital Library of Mathematical Functions: §3.1(ii) Interval Arithmetic ‣ §3.1 Arithmetics and Error Measures ‣ Areas ‣ Chapter 3 Numerical Methods