The Parallel Solution of Ordinary Differential Equations and Some Special Functions

1994 ◽  
pp. 67-76
Author(s):  
J. C. Butcher
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Special Functions ◽  
Parallel Solution

Solving Nonlinear Ordinary Differential Equations in .NET Framework Environment with X-MPIR

2014 ◽  
Vol 12 (2) ◽  
pp. 2-8
Author(s):  
Velichko Dzhambov
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
High Precision ◽  
Special Functions ◽  
Nonlinear Ordinary Differential Equations ◽  
Numerical Computing ◽  
Arbitrary Precision ◽  
Net Framework

Abstract This paper concerns high precision numerical computing of nonlinear ordinary differential equations in .NET Framework environment. It describes a part of the research undertaken for the purpose of creating a tool library for arbitrary precision calculations and may be concerned as a continuation of the beginning in this direction, previously described in [10], including special functions computing. Some possible applications are described on the basis of the extensions, added to the library. A brief description is given of the library part, connected with the extensions being added.

Elements of Ordinary Differential Equations and Special Functions

1991 ◽  
Vol 75 (473) ◽  
pp. 390
Author(s):  
Nick Lord ◽  
A. Chakrabarti ◽  
A. F. Nikiforov ◽  
V. B. Uvarov
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Special Functions
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