Construction of several second- and fourth-order geometric partial differential equations for space curves
β Scribed by Xu, Guoliang; Yang, Xuyang
- Book ID
- 122522701
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 554 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0167-8396
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π SIMILAR VOLUMES
A family of numerical methods which are L-stable, fourth-order accurate in space and time, and do not require the use of complex arithmetic is developed for solving second-order linear parabolic partial differential equations. In these methods, second-order spatial derivatives are approximated by fo
Approximations where the derivatives are corrected so as to satisfy linear completeness on the derivatives are investigated. These techniques are used in particle methods and other mesh-free methods. The basic approximation is a Shepard interpolant which possesses only constant completeness. The der