Numerical Renormalization Group Algorithms for Self-Similar Asymptotics of Partial Differential Equations

2020 ◽  
Vol 18 (1) ◽  
pp. 131-162
Author(s):  
Gasta͂o A. Braga ◽  
Frederico Furtado ◽  
Vincenzo Isaia ◽  
Long Lee



2021 ◽  
Vol 9 (1) ◽  
pp. 243-266
Author(s):  
Piotr Jaworski ◽  
Marcin Krzywda

Abstract We characterize the cumulative distribution functions and copulas of two-dimensional self-similar Ito processes, with randomly correlated Wiener margins, as solutions of certain elliptic partial differential equations.



2013 ◽  
Vol 21 (1) ◽  
pp. 101-120
Author(s):  
Saïd Hilmi ◽  
Chérif Ziti

Abstract The dynamic of amoebas in favorable circumstances is modeled by a nonlinear system of Partial Differential Equations arising in chemotaxis. The competition between different parameters of this system plays a major role in the process of aggregation. Throughout this paper, we prove the existence of self-similar solutions that blow up in finite time in a dimensional space and under specific circumstances depending upon the position of those parameters.



2020 ◽  
Author(s):  
A. K. Nandakumaran ◽  
P. S. Datti




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