scholarly journals High-order methods for parabolic problems

1975 ◽  
Vol 1 (1) ◽  
pp. 5-16 ◽  
Author(s):  
O. Axelsson
Author(s):  
André Ribeiro de Barros Aguiar ◽  
Carlos Breviglieri ◽  
Fábio Mallaco Moreira ◽  
Eduardo Jourdan ◽  
João Luiz F. Azevedo

2008 ◽  
Author(s):  
Miguel R. Visbal ◽  
Scott E. Sherer ◽  
Michael D. White

Cryogenics ◽  
2006 ◽  
Vol 46 (7-8) ◽  
pp. 589-596
Author(s):  
Shaolin Mao ◽  
Cesar A. Luongo ◽  
David A. Kopriva

2013 ◽  
Vol 57 (7-8) ◽  
pp. 1795-1799 ◽  
Author(s):  
Francisco Chicharro ◽  
Alicia Cordero ◽  
Juan R. Torregrosa

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Isaac Fried

The asymptotic form of the Taylor-Lagrange remainder is used to derive some new, efficient, high-order methods to iteratively locate the root, simple or multiple, of a nonlinear function. Also derived are superquadratic methods that converge contrarily and superlinear and supercubic methods that converge alternatingly, enabling us not only to approach, but also to bracket the root.


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