D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 34 Citations 5,172 143 World Ranking 2038 National Ranking 875

Research.com Recognitions

Awards & Achievements

2019 - Fellow of the American Mathematical Society For contributions to analysis of partial differential equations especially in inverse scattering theory.

Overview

What is she best known for?

The fields of study she is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Geometry

Fioralba Cakoni mostly deals with Inverse scattering problem, Mathematical analysis, Eigenvalues and eigenvectors, Scattering theory and Transmission. Her research on Inverse scattering problem concerns the broader Scattering. Fioralba Cakoni is interested in Inverse problem, which is a branch of Mathematical analysis.

Her Inverse problem research integrates issues from Electromagnetic radiation, Plane wave, Field, Matrix and Refractive index. Her work carried out in the field of Eigenvalues and eigenvectors brings together such families of science as Wave function and Near and far field. While the research belongs to areas of Scattering theory, she spends her time largely on the problem of Boundary value problem, intersecting her research to questions surrounding Inverse, Sobolev space and Orthotropic material.

Her most cited work include:

  • The Existence of an Infinite Discrete Set of Transmission Eigenvalues (199 citations)
  • Qualitative methods in inverse scattering theory : an introduction (152 citations)
  • The Linear Sampling Method in Inverse Electromagnetic Scattering (128 citations)

What are the main themes of her work throughout her whole career to date?

Fioralba Cakoni spends much of her time researching Mathematical analysis, Inverse scattering problem, Scattering, Eigenvalues and eigenvectors and Transmission. Her study in Mathematical analysis is interdisciplinary in nature, drawing from both Anisotropy, Boundary and Near and far field. Fioralba Cakoni studied Near and far field and Electromagnetic radiation that intersect with Cylinder.

Fioralba Cakoni works mostly in the field of Inverse scattering problem, limiting it down to topics relating to Reciprocity and, in certain cases, Magnetic field, as a part of the same area of interest. Her Scattering study which covers Helmholtz equation that intersects with Bounded function. The various areas that she examines in her Eigenvalues and eigenvectors study include Refractive index, Asymptotic expansion, Dirichlet distribution and Maxwell's equations.

She most often published in these fields:

  • Mathematical analysis (67.76%)
  • Inverse scattering problem (55.92%)
  • Scattering (39.47%)

What were the highlights of her more recent work (between 2015-2021)?

  • Mathematical analysis (67.76%)
  • Inverse scattering problem (55.92%)
  • Eigenvalues and eigenvectors (34.87%)

In recent papers she was focusing on the following fields of study:

Her primary areas of investigation include Mathematical analysis, Inverse scattering problem, Eigenvalues and eigenvectors, Scattering and Transmission. Her Mathematical analysis research is multidisciplinary, incorporating perspectives in Anisotropy and Near and far field. Her biological study spans a wide range of topics, including Geometry, Inverse, Wave equation and Classical mechanics.

The Eigenvalues and eigenvectors study combines topics in areas such as Mathematical physics, Boundary value problem, Refractive index, Boundary and Maxwell's equations. Fioralba Cakoni has researched Boundary value problem in several fields, including Ball and Plane wave. Fioralba Cakoni works in the field of Scattering, focusing on Scattering theory in particular.

Between 2015 and 2021, her most popular works were:

  • Inverse scattering theory and transmission eigenvalues (82 citations)
  • Stekloff Eigenvalues in Inverse Scattering (40 citations)
  • New sets of eigenvalues in inverse scattering for inhomogeneous media and their determination from scattering data (21 citations)

In her most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Geometry

Her scientific interests lie mostly in Mathematical analysis, Inverse scattering problem, Scattering, Scattering theory and Eigenvalues and eigenvectors. Her study connects Anisotropy and Mathematical analysis. Her Anisotropy study incorporates themes from Factorization, Isotropy and Topological derivative.

Fioralba Cakoni combines subjects such as Wave equation, Dirichlet distribution and Near and far field with her study of Inverse scattering problem. The concepts of her Scattering study are interwoven with issues in Characterization, Term and Helmholtz equation. Fioralba Cakoni brings together Eigenvalues and eigenvectors and Transmission to produce work in her papers.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Qualitative methods in inverse scattering theory : an introduction

Fioralba Cakoni;David L. Colton.
(2006)

668 Citations

The Existence of an Infinite Discrete Set of Transmission Eigenvalues

Fioralba Cakoni;Drossos Gintides;Houssem Haddar.
Siam Journal on Mathematical Analysis (2010)

279 Citations

The Linear Sampling Method in Inverse Electromagnetic Scattering

Fioralba Cakoni;David Colton;Peter Monk.
(2010)

232 Citations

A Qualitative Approach to Inverse Scattering Theory

Fioralba Cakoni;David Colton.
(2013)

219 Citations

On the determination of Dirichlet or transmission eigenvalues from far field data

Fioralba Cakoni;David Colton;Houssem Haddar.
Comptes Rendus Mathematique (2010)

165 Citations

The linear sampling method for cracks

Fioralba Cakoni;David Colton.
Inverse Problems (2003)

162 Citations

Transmission Eigenvalues in Inverse Scattering Theory

Fioralba Cakoni;Houssem Haddar.
(2012)

150 Citations

The interior transmission eigenvalue problem

Fioralba Cakoni;David Colton;Drossos Gintides.
Siam Journal on Mathematical Analysis (2010)

145 Citations

Inverse scattering theory and transmission eigenvalues

Fioralba Cakoni;David Colton;Houssem Haddar.
NSF/CBMS Regional Conference on Inverse Scattering Theory and Transmission Eigenvalues (2016)

144 Citations

On the interior transmission eigenvalue problem

Fioralba Cakoni;Andreas Kirsch.
International Journal of Computing (2010)

141 Citations

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