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Mathematics

D-Index
37
Citations
5904
World Ranking
2496
National Ranking
1041

Overview

William Rundell is affiliated with Texas A&M University in the United States. The primary focus of their research lies in the fields of mathematics and engineering, with significant engagement in mathematical physics, modeling and simulation, applied mathematics, numerical analysis, and computational theory and mathematics.

Their work contributes to a range of topics including numerical methods in inverse problems, fractional differential equations solutions, advanced mathematical modeling in engineering, differential equations and numerical methods, differential equations and boundary problems, stability and controllability of differential equations, and thermoelastic and magnetoelastic phenomena.

William Rundell has published extensively, with 46 works in mathematics and 12 in engineering. Their research output also includes contributions to key publication venues such as Inverse Problems, arXiv (Cornell University), Applicable Analysis, Journal of Mathematical Analysis and Applications, and SIAM Journal on Mathematical Analysis.

  • Inverse Problems
  • arXiv (Cornell University)
  • Applicable Analysis
  • Journal of Mathematical Analysis and Applications
  • SIAM Journal on Mathematical Analysis

Frequent collaborators include Barbara Kaltenbacher, Masahiro Yamamoto, Zhidong Zhang, Isaac Harris, and Bastian Harrach, with Barbara Kaltenbacher being the most frequent coauthor.

  • Barbara Kaltenbacher
  • Masahiro Yamamoto
  • Zhidong Zhang
  • Isaac Harris
  • Bastian Harrach

Among William Rundell's recent publications are:

  • On the Identification of Source Term in the Heat Equation from Sparse Data, 2020, SIAM Journal on Mathematical Analysis
  • Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions, 2021, Applicable Analysis

Their research interest includes inverse problems for differential equations with fractional derivatives, often investigating uniqueness and damping terms in wave and diffusion equations.

William Rundell has also contributed to academic literature as an author of a book published by the American Mathematical Society titled Inverse Problems for Fractional Partial Differential Equations, published in 2023.

Best Publications

  • A tutorial on inverse problems for anomalous diffusion processes

    Bangti Jin;William Rundell

  • Reconstruction techniques for classical inverse Sturm-Liouville problems

    William Rundell;Paul E. Sacks

  • 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

  • Nonlinear integral equations and the iterative solution for an inverse boundary value problem

    Rainer Kress;William Rundell

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

    William Rundell;D. L. Colton

  • An inverse problem for a one-dimensional time-fractional diffusion problem

    Bangti Jin;William Rundell

  • Variational formulation of problems involving fractional order differential operators

    Bangti Jin;Bangti Jin;Raytcho D. Lazarov;Joseph E. Pasciak;William Rundell

  • The determination of a discontinuity in a conductivity from a single boundary measurement

    Frank Hettlich;William Rundell

  • Iterative methods for the reconstruction of an inverse potential problem

    Frank Hettlich;William Rundell

  • Strong maximum principle for fractional diffusion equations and an application to an inverse source problem

    Yikan Liu;William Rundell;Masahiro Yamamoto

  • Inverse scattering for shape and impedance

    Rainer Kress;William Rundell

  • The reconstruction of Sturm-Liouville operators

    W Rundell;P E Sacks

  • Unicity in an Inverse Problem for an Unknown Reaction Term in a Reaction-Diffusion Equation

    Paul DuChateau;William Rundell

  • A quasi-Newton method in inverse obstacle scattering

    R Kress;W Rundell

  • Inverse Obstacle Scattering with Modulus of the Far Field Pattern as Data

    Rainer Kress;William Rundell

  • An Inverse problem for a nonlinear parabolic equation

    Michael S. Pilant;William Rundell

  • A Second Degree Method for Nonlinear Inverse Problems

    F. Hettlich;W. Rundell

  • Surveys on solution methods for inverse problems

    David Colton;Heinz W. Engl;Alfred K. Louis;Joyce R. McLaughlin

  • Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation

    Yuri Luchko;William Rundell;Masahiro Yamamoto;Lihua Zuo

Frequent Co-Authors

Barbara Kaltenbacher
Barbara Kaltenbacher University of Klagenfurt
Rainer Kress
Rainer Kress University of Göttingen
Bangti Jin
Bangti Jin Chinese University of Hong Kong
Heinz W. Engl
Heinz W. Engl University of Vienna
David Colton
David Colton University of Delaware
Masahiro Yamamoto
Masahiro Yamamoto University of Tokyo
Raytcho Lazarov
Raytcho Lazarov Texas A&M University
Joseph E. Pasciak
Joseph E. Pasciak Texas A&M University
John Rozier Cannon
John Rozier Cannon University of Central Florida
Otmar Scherzer
Otmar Scherzer University of Vienna

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