Numerical inversion of two-dimensional Laplace transforms -- Fourier series representation
The Laplace transform provides a powerful method for analyzing linear systems. It is heavily used in solving differential and integral equations. In a wide variety of applied problems, the solution requires the inversion of Laplace transforms involving numerous functions. Unfortunately, many problems of physical interest lead to Laplace transforms whose inverses are not readily expressed in terms of tabulated functions. Therefore, it is highly desirable to have methods for numerical inversion. In this paper an algorithm to numerically invert two-dimensional Laplace transforms is presented. This two-dimensional inverse Laplace transforms technique is an extension of the one-dimensional methods based on the representation of the inverse function in terms of Fourier series.
two-dimensional inverse Laplace transforms
scientific article; zbMATH DE number 770318
scientific article