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# Numerical Inversion of Laplace Transforms in Matlab

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Inversion of Laplace transforms is a very important procedure used in solution of complex linear systems.
The function f(t)=INVLAP(F(s)) offers a simple, effective and reasonably accurate way to achieve the result. It is based on the paper:
J. Valsa and L. Brancik: Approximate Formulae for Numerical Inversion of Laplace Transforms, Int. Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Vol. 11, (1998), pp. 153-166
The transform F(s) may be any reasonable function of complex variable s^d?T-, where d?T- is an integer or non-integer real exponent. Thus, the function INVLAP can solve even fractional problems and invert functions F(s) containing rational, irrational or transcendental expressions.
The function does not require to compute poles nor zeroes of F(s). It is based on values of F(s) for selected complex values of the independent variable s. The resultant computational error can be held arbitrarily low at the cost of CPU time. With the today's computers and their speed this does not present any serious limitation (see Examples).

Free download from Shareware Connection - Inversion of Laplace transforms is a very important procedure used in solution of complex linear systems

Version: 1.0 | Size: 20 KB | Platform: Matlab, Scripts
Released Date: 24-06-2013 | Rating: 0 | Title: Numerical Inversion of Laplace Transforms in Matlab

Author Url: http://www.mathworks.com
Program Info Url: http://www.mathworks.com

Numerical Inversion of Laplace Transforms in Matlab keywords:

Numerical Inversion of Laplace Transforms - The inversion of Laplace transforms is performed using two methods: (1) the Zakian method and (2) the Fourier series approximation

Maxima - Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vect

Weeks' Method for Numerical Laplace transform inversion with GPU acceleration - The numerical inversion of the Laplace transform is a long standing problem due its implicit ill-posedness

Matlab files of the book: Mathematical Modelling for Earth Sciences - Matlab files include Gaussian numerical quadrature, Newton's method for finding roots, finite element method for 1D wave equation, and pattern formation (KPP and a system of two coupled PDEs).

mgui - MGUI starts a GUI and supplies MATLAB programs/functions for their easy application to data which are in the MATLAB workspace

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