Experiments on the evaluation of functional ranges using a random interval arithmetic

Mathematics and Computers in Simulation

Volumn 56, Issue 1, 2001, Pages 17-34

  Alt, R ^a   Lamotte, J L ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

CESTAC method; Directed interval analysis; Functional range evaluation; Interval analysis; Monte Carlo methods; Stochastic methods for error evaluation

Indexed keywords

COMPUTER SOFTWARE; ERROR ANALYSIS; MONTE CARLO METHODS; PROBABILITY; RANDOM PROCESSES;

DIRECTED INTERVAL ANALYSIS; RANDOM INTERVAL ARITHMETIC;

FUNCTION EVALUATION;

EID: 0034915176     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(00)00277-9     Document Type: Article

References (16)

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5. Extended interval arithmetic involving infinite intervals
6. On the presentation of ranges of monotone functions using interval arithmetic
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8. Theory of an interval algebra and its application to numerical analysis
9. New methods for evaluating the validity of the results of mathematical computation
10. Review on stochastic approach to round-off error analysis and its applications
11. A stochastic arithmetic for reliable scientific computation
12. An efficient stochastic method for round-off error analysis