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# Tag Archives: Numerical methods

## Brent’s Method and a daft engineer’s blog

Browsing links on Brent’s Method I found: Daft Engineer – Numerical Methods and Excel* which is well worth a look (plenty of stuff on statistics and Python, with the odd dash of Excel). The link has VBA code for a … Continue reading

## XNumbers and Tropical Events

My on-line friend Al Vachris recently sent me a link to the Tropical Events site, which features a detailed analysis of the orbital motion of the Earth and the other bodies of the solar system, all done in Excel, and … Continue reading

Posted in Excel, Maths, Newton, Numerical integration
Tagged Astronomy, Numerical methods, orbital mechanics, XNumbers
16 Comments

## Evaluating higher order polynomials …

… and a better solution for quadratics. Having written a better solver for high order polynomials, that raises a few other issues. The error in the roots found by the RPolyJT was checked by simply substituting each root as the … Continue reading

Posted in Excel, Maths, Newton, UDFs, VBA
Tagged complex numbers, Excel, Jenkins-Traub, Numerical methods, Polynomial, UDF, VBA
4 Comments

## Solving higher order polynomials

The Quartic spreadsheet presented here previously (most recently here) uses algebraic techniques to provide an “exact” solution to polynomial equations of up to fouth order. For polynomials of higher order there is no general algebraic solution, and numerical methods are … Continue reading

Posted in Excel, Maths, Newton, UDFs, VBA
Tagged complex numbers, Excel, Jenkins-Traub, Numerical methods, Polynomial, UDF, VBA
12 Comments

## Numerical solutions with CSpline

The CSpline function presented in a previous post fits a series of cubic polynomial curves to a specified series of points, returning the Y values for listed intermediate X values. I was recently asked if this could be reversed to … Continue reading

Posted in Excel, Maths, Newton, UDFs, VBA
Tagged Cubic spline, Excel, Numerical methods, solve equation, VBA
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## Gaussian Quadrature

The previous post on integration provided an Excel User Defined Function (UDF) to perform numerical integration using Simpson’s Rule or the Trapezoidal Rule. A third method is Gaussian Quadrature which is often much more accurate and/or quicker than Simpson’s Rule. The UDF GaussInt() … Continue reading

Posted in Excel, Maths, Newton, UDFs, VBA
Tagged Eval.xls, Excel, Gaussian Quadrature, Integration, Numerical methods, UDF, VBA
27 Comments