On number theoretical methods for multidimensional numerical integration
โ Scribed by C. Foglia
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 413 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0010-4655
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โฆ Synopsis
This paper gives an expository survey of number-theoretical methods for the numerical evaluation of multiple integrals, including quasi Monte Carlo methods and methods based essentially on the ideas of Diophantine approximation.
๐ SIMILAR VOLUMES
After an introductory section in which some general results are quoted, there follows a section on one-dimensional rules, dealing with integration over finite intervals, error estimates, singularities, infinite integrals, oscillatory integrals and indefinite integrals. The final section, on multidim
Chemical kinetics conserves mass and renders nonnegative solutions; a good numerical simulation would ideally produce mass-balanced, positive concentration vectors. Many time-stepping methods are mass conservative; however, unconditional positivity restricts the order of a traditional method to one.