Category Archives: Maths

Tanh-Sinh Quadrature Update 2

I have copied the latest version of Graeme Dennes’ Tanh-Sinh Quadrature spreadsheet to my download site:  Click here to download Tanh-Sinh.zip As before, the download includes full open-source code, and detailed notes by Graeme. In the new version the Gauss-Kronrod function … Continue reading

Posted in Excel, Maths, Newton, Numerical integration, UDFs, VBA | Tagged , , , , , , , | 4 Comments

Revision to CSpline2.xls

It was recently reported to me that the cubic spline spreadsheet CSpline2.xls (posted here) was crashing on loading in Excel 2003.  It seems that the problem was with the ChartSpline function, and that there are no problems if this function is … Continue reading

Posted in Drawing, Excel, Maths, UDFs, VBA | Tagged , , | 6 Comments

Tanh-Sinh Quadrature update

Graeme Dennes has been continuing work on his Tanh-Sinh Quadrature function, and recently sent me a revised version, which can be downloaded from: Tanh-Sinh.zip The main change is a new automatic tolerance adjustment feature which automatically increases the tolerance for … Continue reading

Posted in Excel, Maths, Newton, Numerical integration, UDFs, VBA | Tagged , , , , , , , | 9 Comments

Faster Integration with the Tanh-Sinh Method

In my previous post about numerical integration I mentioned that I would be writing about another lesser known method providing better speed and/or accuracy in many cases.  The method is known as Tanh-Sinh quadrature, and has been implemented in Excel by a reader … Continue reading

Posted in Excel, Maths, Numerical integration, UDFs, VBA | Tagged , , , , , , , | 3 Comments

Faster Ferns

I have modified the fern input parameters in the spreadsheet presented in the previous post to match the layout used by Barnsley and others, so that examples such as those given at the Wikipedia article can be entered directly.  The … Continue reading

Posted in Arrays, Charts, Charts, Drawing, Excel, Maths, Newton, VBA | Tagged , , , | 4 Comments