Conditional Symmetries for 1st Order Systems of PDES in the Context of the Clairin Method

1995 ◽  
pp. 167-178 ◽  
Author(s):  
Alfred M. Grundland ◽  
Guy Rideau
Keyword(s):  
Systems Of Pdes

scholarly journals Final Report on Subcontract B591217: Multigrid Methods for Systems of PDEs

2011 ◽  
Author(s):  
J Xu ◽  
J Brannick ◽  
L Zikatanov
Keyword(s):  
Multigrid Methods ◽  
Final Report ◽  
Systems Of Pdes

The Level Set Method for Systems of PDEs

2007 ◽  
Vol 32 (7) ◽  
pp. 1043-1064 ◽  
Author(s):  
G. Bellettini ◽  
H. Chermisi ◽  
M. Novaga
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Systems Of Pdes

scholarly journals Solving large classes of nonlinear systems of PDEs

2007 ◽  
Vol 53 (3-4) ◽  
pp. 491-507 ◽  
Author(s):  
Roumen Anguelov ◽  
Elemér E. Rosinger
Keyword(s):  
Nonlinear Systems ◽  
Large Classes ◽  
Systems Of Pdes

scholarly journals Surfaces with parallel normalized mean curvature vector field in Euclidean or Minkowski 4-space

Filomat ◽  
2019 ◽  
Vol 33 (4) ◽  
pp. 1135-1145
Author(s):  
Georgi Ganchev ◽  
Velichka Milousheva
Keyword(s):  
Vector Field ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Minkowski Space ◽  
Mean Curvature ◽  
Curvature Vector ◽  
Mean Curvature Vector ◽  
Partial Differential ◽  
Invariant Functions ◽  
Systems Of Pdes

We study surfaces with parallel normalized mean curvature vector field in Euclidean or Minkowski 4-space. On any such surface we introduce special isothermal parameters (canonical parameters) and describe these surfaces in terms of three invariant functions. We prove that any surface with parallel normalized mean curvature vector field parametrized by canonical parameters is determined uniquely up to a motion in Euclidean (or Minkowski) space by the three invariant functions satisfying a system of three partial differential equations. We find examples of surfaces with parallel normalized mean curvature vector field and solutions to the corresponding systems of PDEs in Euclidean or Minkowski space in the class of the meridian surfaces.

scholarly journals On coupled systems of PDEs with unbounded coefficients

2020 ◽  
Vol 17 (2) ◽  
pp. 129-163
Author(s):  
Luciana Angiuli ◽  
Luca Lorenzi
Keyword(s):  
Coupled Systems ◽  
Unbounded Coefficients ◽  
Systems Of Pdes

scholarly journals Estimates in the Taylor series method for polynomial total systems of PDEs

2021 ◽  
Vol 17 (1) ◽  
pp. 27-39
Author(s):  
Levon K. Babadzanjanz ◽  
◽  
Irina Yu. Pototskaya ◽  
Yulia Yu. Pupysheva ◽  
◽  
...  
Keyword(s):  
Cauchy Problem ◽  
Taylor Series ◽  
Series Method ◽  
Initial Value ◽  
Taylor Coefficients ◽  
Recurrence Formulas ◽  
The Cauchy Problem ◽  
Taylor Series Method ◽  
Systems Of Pdes ◽  
Ode Systems

Many of total systems of PDEs can be reduced to the polynomial form. As was shown by various authors, one of the best methods for the numerical solution of the initial value problem for ODE systems is the Taylor Series Method (TSM). In the article, the authors consider the Cauchy problem for the total polynomial PDE system, obtain the recurrence formulas for Taylor coefficients, and then formulate and prove a theorem on the accuracy of its solutions by TSM.

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