scholarly journals Adaptive numerical method algorithms for nonlinear viscous and bilinear oil damper models subjected to dynamic loading

2018 ◽  
Vol 113 ◽  
pp. 488-502 ◽  
Author(s):  
Sarven Akcelyan ◽  
Dimitrios G. Lignos ◽  
Tsuyoshi Hikino
Keyword(s):  
Numerical Method ◽  
Dynamic Loading ◽  
Adaptive Numerical Method

scholarly journals An adaptive numerical method for free surface flows passing rigidly mounted obstacles

2017 ◽  
Vol 148 ◽  
pp. 56-68 ◽  
Author(s):  
Kirill D. Nikitin ◽  
Maxim A. Olshanskii ◽  
Kirill M. Terekhov ◽  
Yuri V. Vassilevski ◽  
Ruslan M. Yanbarisov
Keyword(s):  
Free Surface ◽  
Numerical Method ◽  
Free Surface Flows ◽  
Surface Flows ◽  
Adaptive Numerical Method

scholarly journals On the Computation of Blow-up Solutions for Semilinear ODEs and Parabolic PDEs

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
P. G. Dlamini ◽  
M. Khumalo
Keyword(s):  
Numerical Method ◽  
Blow Up ◽  
Reaction Diffusion ◽  
Euler Method ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Parabolic Pdes ◽  
Implicit Euler Method ◽  
Midpoint Method ◽  
Adaptive Numerical Method

We introduce an adaptive numerical method for computing blow-up solutions for ODEs and well-known reaction-diffusion equations. The method is based on the implicit midpoint method and the implicit Euler method. We demonstrate that the method produces superior results to the adaptive PECE-implicit method and the MATLAB solver of comparable order.

An adaptive numerical method to handle blow-up in a parabolic system

2005 ◽  
Vol 102 (1) ◽  
pp. 39-59 ◽  
Author(s):  
Cristina Brändle ◽  
Fernando Quirós ◽  
Julio D. Rossi
Keyword(s):  
Numerical Method ◽  
Parabolic System ◽  
Blow Up ◽  
Adaptive Numerical Method

An Automatic Adaptive Numerical Method for Lifting Surface Theories

AIAA Journal ◽  
1984 ◽  
Vol 22 (10) ◽  
pp. 1380-1385 ◽  
Author(s):  
Shigenori Ando ◽  
Dong-Hwan Lee
Keyword(s):  
Numerical Method ◽  
Lifting Surface ◽  
Adaptive Numerical Method
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