Download gragg bulirsch stoer method

In numerical analysis, the Gragg-Bulirsch–Stoer algorithm is a method for the numerical solution of ordinary differential equations. The Gragg-Bulirsch-Stoer method for approximating the solution of the differential equation y'(x) = f(x,y) with initial condition y = c when x = x0 is a variable step method which uses Graggs modified midpoint method for a given step size h to evaluate y(x+h), a rational function or polynomial approximation to the limit as h -> 0, and an algorithm to estimate the error based on successive estimates to y(x+h) and adjust the step size so that the absolute error is within a preassigned tolerance. The Gragg-Bulirsch-Stoer App solves the differential equation y'=f(x,y) with the initial condition y=y0 at x. The value returned is y1 which is the is the value of y evaluated at x + h, h_new is the predicted step size so that the accuracy is maintained. The procedure terminates when the absolute difference of two successive extrapolated scaled estimates of the solution are less than epsilon.For Data Entry the Gragg-Bulirsch-Stoer app utilizes four Sliders for the variable x0, y0, the step size(h) and the number of stepsThree graph choices display the results for the Estimate, Exact and Error Vectors The graphs are touch enabled graph. Upon touching the graph a vertical line appears. Move the vertical line to the left or right to display the data pairs for each vectorThe horizontal x-axis displays x values. The vertical y-axis plots a range of Pr(x) values. Horizontal Max and Min dashed lines display the Maximum and Minimum Pr(x) values

This repository was archived by the owner on Feb 7, 2021. It is now read-only. Latest commitReadMe.txt======================================================================== CONSOLE APPLICATION : DU 8 Gragg–Bulirsch–Stoer Project Overview========================================================================AppWizard has created this DU 8 Gragg–Bulirsch–Stoer application for you.This file contains a summary of what you will find in each of the files thatmake up your DU 8 Gragg–Bulirsch–Stoer application.DU 8 Gragg–Bulirsch–Stoer.vcxproj This is the main project file for VC++ projects generated using an Application Wizard. It contains information about the version of Visual C++ that generated the file, and information about the platforms, configurations, and project features selected with the Application Wizard.DU 8 Gragg–Bulirsch–Stoer.vcxproj.filters This is the filters file for VC++ projects generated using an Application Wizard. It contains information about the association between the files in your project and the filters. This association is used in the IDE to show grouping of files with similar extensions under a specific node (for e.g. ".cpp" files are associated with the "Source Files" filter).DU 8 Gragg–Bulirsch–Stoer.cpp This is the main application source file./////////////////////////////////////////////////////////////////////////////Other standard files:StdAfx.h, StdAfx.cpp These files are used to build a precompiled header (PCH) file named DU 8 Gragg–Bulirsch–Stoer.pch and a precompiled types file named StdAfx.obj./////////////////////////////////////////////////////////////////////////////Other notes:AppWizard uses "TODO:" comments to indicate parts of the source code youshould add to or customize./////////////////////////////////////////////////////////////////////////////

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