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Category Archives: Numerical integration
Numerical Integration; Tanh-Sinh Quadrature v. 4.42
Back to Newton and Excel. I recently received a new update to the Tanh-Sinh Quadrature spreadsheet from Graeme Dennes, which may be downloaded from: Tanh_Sinh Quadrature. From the Readme: The Tanh-Sinh quadrature workbook has been enhanced as follows: The Tanh-Sinh … Continue reading
Posted in Charts, Excel, Maths, Newton, Numerical integration, UDFs, VBA
Tagged Double Exponential, Excel, Gauss-Kronrod, numerical integration, Romberg, Tanh-Sinh method, Tanh-Sinh Quadrature, UDF, VBA
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Multiple Integration with Scipy
Scipy has 3 functions for multiple numerical integration in the scipy.integrate module: dblquad: Compute a double integral. tplquad: Compute a triple integral’ nquad: Integration over multiple variables. I have written six functions to call these functions from Excel, via Pyxll: Each … Continue reading
Posted in Excel, Link to Python, Maths, Newton, Numerical integration, NumPy and SciPy, PyXLL, UDFs
Tagged Excel, multiple integration, Python, PyXLL, SciPy, UDFs
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Numerical Integration; Tanh-Sinh Quadrature v. 4.4
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 Double Exponential, Excel, Gauss-Kronrod, numerical integration, Romberg, Tanh-Sinh method, Tanh-Sinh Quadrature, UDF, VBA
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Using Section Properties- Group
Following a recent comment I have updated the documentation for finding the section properties of groups of shapes in the Section-Properties-Group spreadsheet. The revised file can be downloaded from: Section Properties07-Group.zip The screenshots below illustrate use of the Group function to … Continue reading
xlwSciPy update for Python 3
The xlwSciPy spreadsheet allows a wide variety of the science and maths functions in the Python Numpy and Scipy libraries to be called directly from Excel. The spreadsheet has now been updated for use with Python 3. The spreadsheet and … Continue reading
Posted in Coordinate Geometry, Differential Equations, Excel, Link to Python, Maths, Newton, Numerical integration, NumPy and SciPy, Python Pandas, UDFs, VBA, xlwings
Tagged Excel, Numpy, Python, SciPy, UDF, VBA, xlwings
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Section Properties with MeshPY, including torsion and warping
I recently discovered robbie van leeuwen’s structural engineering blog, which has an open-source set of Python routines for calculation of section properties, including torsion and warping constants. The program uses the MeshPY Library for generating the finite element meshes required … Continue reading
Posted in Beam Bending, Concrete, Excel, Finite Element Analysis, Frame Analysis, Link to Python, Maths, Newton, Numerical integration, NumPy and SciPy, Strand7, UDFs, VBA, xlwings
Tagged Excel, MatPlotlib, MeshPY, Python, section properties, Torsion, UDF, VBA, Warping
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Excel to Alglib via xlwings
The Alglib library provides many valuable numerical analysis routines, but the VBA version is no longer actively maintained. The latest versions are available in C++, C#, and Python, of which the Python version (in conjunction with xlwings) provides the easiest interface … Continue reading
Posted in AlgLib, Curve fitting, Excel, Link to Python, Maths, Newton, Numerical integration, UDFs, VBA, xlwings
Tagged AlgLib, Cubic Spline functions, curve fitting, Excel, Higher order polynomials, Matrix Functions, Python, UDF, VBA, xlwings
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