Systems of Total Differential Equations Defined Over Simply Connected Domains

1934 ◽  
Vol 35 (4) ◽  
pp. 730 ◽  
Author(s):  
Tracy Yerkes Thomas
Keyword(s):  
Differential Equations ◽  
Total Differential ◽  
Simply Connected ◽  
Simply Connected Domains

scholarly journals NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS IN IRREGULAR PLANE REGIONS USING QUALITY STRUCTURED CONVEX GRIDS

2013 ◽  
Vol 04 (02) ◽  
pp. 1350004
Author(s):  
F. DOMÍNGUEZ-MOTA ◽  
P. FERNÁNDEZ-VALDEZ ◽  
S. MENDOZA-ARMENTA ◽  
G. TINOCO-GUERRERO ◽  
J. G. TINOCO-RUIZ
Keyword(s):  
Finite Difference ◽  
Differential Equations ◽  
Numerical Solution ◽  
Poisson Equation ◽  
Finite Differences ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Structured Grids ◽  
Simply Connected ◽  
Simply Connected Domains

The variational grid generation method is a powerful tool for generating structured convex grids on irregular simply connected domains whose boundary is a polygonal Jordan curve. Several examples that show the accuracy of a finite difference approximation to the solution of a Poisson equation using this kind of structured grids have been recently reported. In this paper, we compare the accuracy of the numerical solution calculated using those structured grids and finite differences against the solution obtained with Delaunay-like triangulations on irregular regions.

Algebraically embeddable systems of total differential equations

2000 ◽  
Vol 36 (8) ◽  
pp. 1253-1255
Author(s):  
P. B. Pavlyuchik
Keyword(s):  
Differential Equations ◽  
Total Differential

scholarly journals Universal Taylor series for non-simply connected domains

2010 ◽  
Vol 348 (9-10) ◽  
pp. 521-524 ◽  
Author(s):  
Stephen J. Gardiner ◽  
Nikolaos Tsirivas
Keyword(s):  
Taylor Series ◽  
Universal Taylor Series ◽  
Simply Connected ◽  
Simply Connected Domains

PATH INTEGRAL QUANTIZATION OF SUPERSTRING

2010 ◽  
Vol 25 (02) ◽  
pp. 135-141
Author(s):  
H. A. ELEGLA ◽  
N. I. FARAHAT
Keyword(s):  
Phase Space ◽  
Differential Equations ◽  
Path Integral ◽  
Equations Of Motion ◽  
Singular System ◽  
Constrained Systems ◽  
Classical Structure ◽  
Path Integral Quantization ◽  
Total Differential

Motivated by the Hamilton–Jacobi approach of constrained systems, we analyze the classical structure of a four-dimensional superstring. The equations of motion for a singular system are obtained as total differential equations in many variables. The path integral quantization based on Hamilton–Jacobi approach is applied to quantize the system, and the integration is taken over the canonical phase space coordinates.

INTEGRABILITY AND ACTION FUNCTION IN MULTI-HAMILTONIAN SYSTEMS

2004 ◽  
Vol 19 (11) ◽  
pp. 863-870 ◽  
Author(s):  
S. I. MUSLIH
Keyword(s):  
Differential Equations ◽  
Hamiltonian Systems ◽  
Equations Of Motion ◽  
Integral Function ◽  
Jacobi Method ◽  
Action Function ◽  
Action Integral ◽  
Method Integration ◽  
Total Differential

Multi-Hamiltonian systems are investigated by using the Hamilton–Jacobi method. Integration of a set of total differential equations which includes the equations of motion and the action integral function is discussed. It is shown that this set is integrable if and only if the total variations of the Hamiltonians vanish. Two examples are studied.

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