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Category Archives: Maths
Numerical Integration; Tanh-Sinh Quadrature v. 4.2
The latest version (4.2) of the numerical integration spreadsheet by Graeme Dennes is now available for download from Tanh_Sinh Quadrature. For more details of the background see: Faster Integration with the Tanh-Sinh Method and subsequent posts on this subject. In addition to … Continue reading
Posted in Excel, Maths, Newton, Numerical integration, UDFs, VBA
Tagged Double Exponential, Excel, Gauss-Kronrod, numerical integration, Romberg, Tanh-Sinh method, Tanh-Sinh Quadrature, UDF, VBA
2 Comments
Solving polynomials – update
The polynomial spreadsheet (details here) provides functions to solve polynomial equations of any order; using an “exact” method for up to quartic, and an iterative procedure for higher orders. The input for the functions requires the equation coefficients to be … Continue reading
Posted in Arrays, Excel, Maths, UDFs, VBA
Tagged Excel, high order simultaneous equations, Polynomial equations, solve simultaneous equations, UDF, VBA
1 Comment
Alglib/Python spline functions update
The Excel Spline-Matrix spreadsheet has now been updated with several new spline interpolation functions. See Alglib/Python linear and non-linear fitting functions for links to download and install the necessary Excel-Python and Alglib files. Also required is Python version 2.7 or 2.6. The … Continue reading
Posted in AlgLib, Arrays, Excel, Link to Python, Maths, Newton, UDFs, VBA
Tagged 3D Spline function, AlgLib, Excel, Excel-Python, Parametric Splines, Python, Radial Basis Functions, Rational Interpolation, Spline functions, UDF, VBA
2 Comments
Alglib/Python spline functions
Continuing from the previous post, the new xl_Spline-Matrix.zip spreadsheet includes functions for 1D and 2D linear and cubic splines. The basic 1D spline allows for output of linear splines, or 5 different types of cubic spline, as listed above. Output may … Continue reading
Posted in AlgLib, Excel, Link to Python, Maths, Newton, Numerical integration, UDFs, VBA
Tagged 1D splines, 2D splines, AlgLib, Cubic splines, Excel, Excel-Python, Python, spline curve fitting, spline differentiation, Spline Integration, UDF, VBA
1 Comment
Evaluating text and Integration with Python and ALGLIB
Following the previous post on evaluating mathematical functions entered as text on the spreadsheet, I have now written a spreadsheet with similar functionality using Python functions, and the Excel-Python add-in. Also included are integration functions using the SciPy Python library, … Continue reading
Posted in AlgLib, Arrays, Excel, Link to Python, Maths, Newton, Numerical integration, NumPy and SciPy, UDFs, VBA
Tagged AlgLib, evaluation of text strings, Excel, Integration, Python, SciPy, VBA
1 Comment