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# Tag Archives: Brents method

## More iterative solvers

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 Brents method, depth of neutral axis, Excel, Python, Reinforced Concrete, SciPy, UDFs, VBA, xlwings
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## Iterative solvers and arrays

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 Brents method, Excel, Python, SciPy, UDFs, VBA, xlwings, xlwSciPy3
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## Brent’s Method; Update and Examples

Brent’s Method is a refinement of Newton’s Method for the numerical solution of any equation with one variable. The User Defined Function (UDF) QuadBrent was described in: The Inverse Quadratic Method 3 – Brent’s Method Following a recent question, I have … Continue reading

Posted in Arrays, Excel, Maths, Newton, UDFs, VBA
Tagged Brents method, Excel, inverse quadratic, iterative solution, Maths, UDF, VBA
1 Comment

## 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

## Solving non-linear equations with two or more unknowns – 1

Newton’s Method is a well known iterative solution for non-linear equations with one unknown. That is, if some value Y depends on a variable X, then we can use Newton’s Method to find X for any given value of Y. … Continue reading

Posted in Beam Bending, Excel, Maths, Newton, UDFs, VBA
Tagged Brents method, Excel, moment curvature, Newton's Method, non-linear equations, two or more unknowns, UDF, VBA
2 Comments

## Faster Biaxial Bending

The spreadsheet to calculate ultimate moment capacity of a reinforced or prestressed concrete section under combined axial load and biaxial bending, last presented here, has been updated to use the QuadBrent solver, rather than the Excel Goal Seek function, for … Continue reading

Posted in Beam Bending, Concrete, Excel, Newton, UDFs, VBA
Tagged biaxial bending, Brents method, Combined bending and axial load, Excel, Prestressed concrete, Reinforced Concrete, UDF, ultimate moment capacity, VBA
1 Comment

## Daily Download 21: Assorted Solvers

Today’s download starts with some simple linear interpolation methods used to solve polynomial equations, leading on to more sophisticated methods using quadratic or inverse quadratic interpolation. Also included is a solver for differential equations using the Cash-Karp Method, which is … Continue reading