Rosanna Campagna | Università della Campania Luigi Vanvitelli (original) (raw)
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Papers by Rosanna Campagna
Applied Mathematics and Computation, 2015
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We regret to mention that the name of Mariarosaria Rizzardi, Parthenope University, Naples, Italy... more We regret to mention that the name of Mariarosaria Rizzardi, Parthenope University, Naples, Italy was missing amongst the listed authors. The complete authors are indicated here. The paper should be referenced with the full list of authors as L. D’Amore,
R. Campagna, V. Mele, A. Murli, M. Rizzardi.
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ACM Transactions on Mathematical Software, 2014
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Numerical Mathematics and Advanced Applications 2009, 2010
Many applications are tackled using the Laplace Transform (LT) known on a countable number of rea... more Many applications are tackled using the Laplace Transform (LT) known on a countable number of real values [J. Electroanal. Chem. 608, 37–46 (2007), Int. J. solid Struct. 41, 3653–3674 (2004), Imaging 26, 1183–1196 (2008), J. Magn. Reson. 156, 213–221 (2002)]. The usual approach to solve the LT inverse problem relies on a regularization technique combined with information a priori both on the LT function and on its inverse (see for instance [http://s-provencher.com/pages/ contin.shtml]). We propose a fitting model enjoying LT properties: we define a generalized spline that interpolates the LT function values and mimics the asymptotic behavior of LT functions. Then, we prove existence and uniqueness of this model and, through a suitable error analysis, we give a priori approximation error bounds to confirm the reliability of this approach. Numerical results are presented.
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ACM Transactions on Mathematical Software, 2014
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Applied Mathematics and Computation, 2015
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Numerical Algorithms, 2013
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Numerical Algorithms, 2013
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Journal of Computational and Applied Mathematics, 2007
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Inverse Problems, 2012
The scientific and application-oriented interest in the Laplace transform and its inversion is te... more The scientific and application-oriented interest in the Laplace transform and its inversion is testified by more than 1000 publications in the last century. Most of the inversion algorithms available in the literature assume that the Laplace transform function is available everywhere. Unfortunately, such an assumption is not fulfilled in the applications of the Laplace transform. Very often, one only has
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Bookmarks Related papers MentionsView impact
Algorithm 662 of the ACM TOMS library is a software package, based on the Weeks method, which is ... more Algorithm 662 of the ACM TOMS library is a software package, based on the Weeks method, which is used for calculating function values of the inverse Laplace transform. The software requires transform values at arbitrary points in the complex plane. We developed a software package, called ReLIADiff, which is a modification of Algorithm 662 using transform values at arbitrary points on real axis. ReLIADiff, implemented
in C++, relies on TADIFF software package designed for Algorithmic Differentiation. In this article, we present
ReLIADiff focusing on its design principles, performance, and use.
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Applied Mathematics and Computation, 2015
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We regret to mention that the name of Mariarosaria Rizzardi, Parthenope University, Naples, Italy... more We regret to mention that the name of Mariarosaria Rizzardi, Parthenope University, Naples, Italy was missing amongst the listed authors. The complete authors are indicated here. The paper should be referenced with the full list of authors as L. D’Amore,
R. Campagna, V. Mele, A. Murli, M. Rizzardi.
Bookmarks Related papers MentionsView impact
ACM Transactions on Mathematical Software, 2014
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Numerical Mathematics and Advanced Applications 2009, 2010
Many applications are tackled using the Laplace Transform (LT) known on a countable number of rea... more Many applications are tackled using the Laplace Transform (LT) known on a countable number of real values [J. Electroanal. Chem. 608, 37–46 (2007), Int. J. solid Struct. 41, 3653–3674 (2004), Imaging 26, 1183–1196 (2008), J. Magn. Reson. 156, 213–221 (2002)]. The usual approach to solve the LT inverse problem relies on a regularization technique combined with information a priori both on the LT function and on its inverse (see for instance [http://s-provencher.com/pages/ contin.shtml]). We propose a fitting model enjoying LT properties: we define a generalized spline that interpolates the LT function values and mimics the asymptotic behavior of LT functions. Then, we prove existence and uniqueness of this model and, through a suitable error analysis, we give a priori approximation error bounds to confirm the reliability of this approach. Numerical results are presented.
Bookmarks Related papers MentionsView impact
ACM Transactions on Mathematical Software, 2014
Bookmarks Related papers MentionsView impact
Applied Mathematics and Computation, 2015
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Numerical Algorithms, 2013
Bookmarks Related papers MentionsView impact
Numerical Algorithms, 2013
Bookmarks Related papers MentionsView impact
Journal of Computational and Applied Mathematics, 2007
Bookmarks Related papers MentionsView impact
Inverse Problems, 2012
The scientific and application-oriented interest in the Laplace transform and its inversion is te... more The scientific and application-oriented interest in the Laplace transform and its inversion is testified by more than 1000 publications in the last century. Most of the inversion algorithms available in the literature assume that the Laplace transform function is available everywhere. Unfortunately, such an assumption is not fulfilled in the applications of the Laplace transform. Very often, one only has
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Algorithm 662 of the ACM TOMS library is a software package, based on the Weeks method, which is ... more Algorithm 662 of the ACM TOMS library is a software package, based on the Weeks method, which is used for calculating function values of the inverse Laplace transform. The software requires transform values at arbitrary points in the complex plane. We developed a software package, called ReLIADiff, which is a modification of Algorithm 662 using transform values at arbitrary points on real axis. ReLIADiff, implemented
in C++, relies on TADIFF software package designed for Algorithmic Differentiation. In this article, we present
ReLIADiff focusing on its design principles, performance, and use.
Bookmarks Related papers MentionsView impact