World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
65
Citations
21926
World Ranking
382
National Ranking
204

Research.com Recognitions

  • 2020 - SIAM Fellow For fundamental contributions to acoustic and electromagnetic scattering theory, and inverse problems in wave phenomena.

Overview

David Colton is affiliated with the University of Delaware in the United States. Their research primarily focuses on areas bridging mathematics and physics, specifically within the domains of mathematical physics and atomic and molecular physics, and optics.

The main fields of study covered in their work include:

  • Mathematics
  • Physics and Astronomy

Within these fields, their subfields of study encompass:

  • Mathematical Physics
  • Atomic and Molecular Physics, and Optics
  • Biomedical Engineering
  • Computational Theory and Mathematics

The primary research topics they have addressed consist of:

  • Numerical methods in inverse problems
  • Electromagnetic Scattering and Analysis
  • Microwave Imaging and Scattering Analysis
  • Advanced Mathematical Modeling in Engineering

David Colton's publication record includes research articles as well as contributions to academic books. Their recent papers include:

  • A duality between scattering poles and transmission eigenvalues in scattering theory (2020), published in Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • Transmission Eigenvalues (2021), published in Notices of the American Mathematical Society

They have also contributed to book publications, including the following title:

  • Inverse Scattering Theory and Transmission Eigenvalues, Second Edition (2022), published by the Society for Industrial and Applied Mathematics

Frequent collaborators in their research have been:

  • Fioralba Cakoni
  • Houssem Haddar

Common venues where their work has been published include:

  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • Notices of the American Mathematical Society

David Colton received recognition as an SIAM Fellow in 2020 for contributions to acoustic and electromagnetic scattering theory and inverse problems in wave phenomena.

Best Publications

  • Inverse Acoustic and Electromagnetic Scattering Theory

    David L. Colton;Rainer Kress

  • Integral equation methods in scattering theory

    David L. Colton;Rainer Kress

  • A simple method for solving inverse scattering problems in the resonance region

    David L. Colton

  • Qualitative methods in inverse scattering theory : an introduction

    Fioralba Cakoni;David L. Colton

  • Recent Developments in Inverse Acoustic Scattering Theory

    David Colton;Joe Coyle;Peter Monk

  • The linear sampling method in inverse electromagnetic scattering theory

    David Colton;Houssem Haddar;Michele Piana

  • qualitative-methods-in-inverse-scattering-theory

    David L. Colton

  • A simple method using Morozov's discrepancy principle for solving inverse scattering problems

    David Colton;Michele Piana;Roland Potthast

  • A Qualitative Approach to Inverse Scattering Theory

    Fioralba Cakoni;David Colton

  • The Linear Sampling Method in Inverse Electromagnetic Scattering

    Fioralba Cakoni;David Colton;Peter Monk

  • Pseudoparabolic equations in one space variable

    David Colton;David Colton

  • THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM

    David Colton;Peter Monk

  • An Introduction to Inverse Scattering and Inverse Spectral Problems

    Khosrow Chadan;David Colton;Lassi Päivärinta;William Rundell

  • Inverse problems in partial differential equations

    David L. Colton;Richard E. Ewing;William Rundell

  • The interior transmission problem

    David Colton;Lassi Päivärinta;John Sylvester

  • A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region II

    David Colton;Peter Monk

  • Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data

    William Rundell;D. L. Colton

  • Uniqueness Theorems for the Inverse Problem of Acoustic Scattering

    David Colton;B. D. Sleeman

  • Inverse scattering theory and transmission eigenvalues

    Fioralba Cakoni;David Colton;Houssem Haddar

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

    Fioralba Cakoni;David Colton;Houssem Haddar

Frequent Co-Authors

Fioralba Cakoni
Fioralba Cakoni Rutgers, The State University of New Jersey
Peter Monk
Peter Monk University of Delaware
Rainer Kress
Rainer Kress University of Göttingen
Houssem Haddar
Houssem Haddar École Polytechnique
Andreas Kirsch
Andreas Kirsch Karlsruhe Institute of Technology
William Rundell
William Rundell Texas A&M University
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Richard E. Ewing
Richard E. Ewing Texas A&M University
Heinz W. Engl
Heinz W. Engl University of Vienna

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