Category Archives: Maths

Numerical Integration; Tanh-Sinh Quadrature v. 4.4

Posted on November 23, 2018 by

Update 27 Nov 2018: Version 4.41 now available from the link below, with minor modifications for compatibility with Excel 2007. I recently received a new version (4.4) of the numerical integration spreadsheet by Graeme Dennes which is now available for … Continue reading →

Posted in Charts, Excel, Maths, Newton, Numerical integration, UDFs, VBA | Tagged , , , , , , , , | 8 Comments

More iterative solvers

Posted on October 28, 2018 by

Following the recent post on using Brent’s Method solvers on an array (Iterative solvers and arrays), here is another example with an engineering related problem.  The example is included in the xlScipy3 spreadsheet, which can be downloaded from: xlScipy3.zip The depth … Continue reading →

Posted in Arrays, Beam Bending, Concrete, Excel, Link to Python, Maths, Newton, NumPy and SciPy, UDFs, VBA, xlwings | Tagged , , , , , , , , | Leave a comment

Iterative solvers and arrays

Posted on October 21, 2018 by

A recent thread at Eng-Tips was looking for a solution to the problem described  below: The solutions to this problem described below can be downloaded from: ItSolve.zip and xlScipy3.zip The ItSolve.xlsb spreadsheet contains a user defined function (UDF) to solve iterative … Continue reading →

Posted in Arrays, Charts, Excel, Link to Python, Maths, Newton, NumPy and SciPy, UDFs, VBA, xlwings | Tagged , , , , , , , | 1 Comment

Arc-spline update

Posted on September 9, 2018 by

The input for the first version of the Arcspline function required the coordinates of the centre of each arc, as well as the angle of the tangents at each end of the arc.  I have now added a new version with … Continue reading →

Posted in Coordinate Geometry, Excel, Maths, Newton, UDFs, VBA | Tagged , , , , | 7 Comments

Using VBA Evaluate as an Array Function

Posted on August 24, 2018 by

I recently discovered from a thread at  Chandoo’s Excel Forum that the VBA Evaluate function can be used as an array function.  As a simple example: Range(“A11:A16”).Value = Evaluate(“= B11:B16 + C11:C16”) will add the values in columns B and C, … Continue reading →

Posted in Arrays, Coordinate Geometry, Excel, Maths, UDFs, VBA | Tagged , , , , | 2 Comments

Arcs and arc-splines

Posted on August 17, 2018 by

I have added two user defined functions (UDFs) to the IP2 spreadsheet to generate coordinates for a single  arc, or a series of arcs connected (if necessary) by straight lines.  The new version may be downloaded from: IP2.zip As an example … Continue reading →

Posted in Animation, Charts, Charts, Coordinate Geometry, Drawing, Excel, Maths, UDFs, VBA | Tagged , , , , , , | 1 Comment

Units and solvers with Pint and Sympy

Posted on July 29, 2018 by

Following the previous post I have adapted the units code to use the Pint package, and added a function using the Sympy equation solver, with Pint units.  I have applied the functions to finding the depth of neutral axis of a … Continue reading →

Posted in Beam Bending, Concrete, Excel, Link to Python, Maths, Newton, UDFs, VBA, xlwings | Tagged , , , , , , , , , , , | Leave a comment