scholarly journals Building a MATLAB Graphical User Interface to Solve Ordinary Differential Equations as a Final Project for an Interdisciplinary Elective Course on Numerical Computing

2018 ◽  
Vol 9 (1) ◽  
pp. 19-28
Author(s):  
Steve M. Ruggiero ◽  
Jianan Zhao ◽  
Ashlee N. Ford Versypt
Keyword(s):  
User Interface ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Graphical User Interface ◽  
Final Project ◽  
Elective Course ◽  
Numerical Computing

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.

scholarly journals Object-Oriented Implementation of Software for Solving Ordinary Differential Equations

1993 ◽  
Vol 2 (4) ◽  
pp. 217-225 ◽  
Author(s):  
Kjell Gustafsson
Keyword(s):  
User Interface ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Numerical Integration ◽  
Integration Method ◽  
Object Oriented ◽  
Software Components ◽  
Integration Methods ◽  
Numerical Integration Methods

We describe an object-oriented implementation of numerical integration methods for solving ordinary differential equations. Software components that are common to many different integration methods have been identified and implemented in such a way that they can be reused. This facilitates the design of a uniform user interface and makes the task of implementing a new integration method fairly modest. The sharing of code in this type of implementation also allows for less subjective comparisons of the result from different integration methods.

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