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D-Index & Metrics

Mathematics

D-Index
40
Citations
5344
World Ranking
2091
National Ranking
140

Overview

Ivan G. Graham is affiliated with the University of Bath in the United Kingdom. Their research primarily focuses on engineering, with a specialization in computational mechanics among other related subfields.

The main fields of study embraced in their work include:

  • Engineering

Key subfields of study covered by their publications are:

  • Computational Mechanics
  • Electrical and Electronic Engineering
  • Mechanics of Materials
  • Computational Theory and Mathematics
  • Atomic and Molecular Physics, and Optics

The scientific topics they investigate involve:

  • Advanced Numerical Methods in Computational Mathematics
  • Electromagnetic Simulation and Numerical Methods
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Electromagnetic Scattering and Analysis
  • Probabilistic and Robust Engineering Design
  • Numerical methods in inverse problems

Their recent papers span between 2020 and 2022 and have been published in various peer-reviewed journals. These papers include:

  • "Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption", 2020, SIAM Journal on Numerical Analysis
  • "Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation", 2020, IMA Journal of Numerical Analysis
  • "Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation", 2022, Numerische Mathematik
  • "Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems", 2022, Mathematics of Computation
  • "Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems", 2022, IMA Journal of Numerical Analysis

Their work has accrued citations reflecting engagement within the academic community, with the most cited paper reaching 37 citations.

Frequent co-authors collaborating with them include:

  • Euan A. Spence
  • Robert Scheichl
  • Shihua Gong
  • Victorita Dolean
  • Martin J. Gander

Publication venues where their work often appears include:

  • arXiv (Cornell University)
  • IMA Journal of Numerical Analysis
  • SIAM Journal on Numerical Analysis
  • Mathematics of Computation
  • Numerische Mathematik

Best Publications

  • Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth

    M.A.J. Chaplain;M. Ganesh;I.G. Graham

  • Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering ∗

    Simon N. Chandler-Wilde;Ivan G. Graham;Stephen Langdon;Euan A. Spence

  • A new multiscale finite element method for high-contrast elliptic interface problems

    C.-C. Chu;C.-C. Chu;Ivan G. Graham;T.-Y. Hou

  • Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications

    I. G. Graham;F. Y. Kuo;D. Nuyens;R. Scheichl

  • Domain decomposition for multiscale PDEs

    I. G. Graham;P. O. Lechner;R. Scheichl

  • Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients

    I. G. Graham;F. Y. Kuo;J. A. Nichols;R. Scheichl

  • A high-order algorithm for obstacle scattering in three dimensions

    M. Ganesh;I. G. Graham

  • Piecewise Continuous Collocation for Integral Equations

    K. Atkinson;I. Graham;I. Sloan

  • Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed?

    M. J. Gander;I. G. Graham;E. A. Spence

  • A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering

    V. Domínguez;I. G. Graham;V. P. Smyshlyaev

  • Stability and error estimates for Filon–Clenshaw–Curtis rules for highly oscillatory integrals

    Victor Dominguez;Ivan Graham;Valery Smyshlyaev

  • Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in ${\mathbb R}^3$

    Ivan G. Graham;Ian H. Sloan

  • Inexact inverse iteration for symmetric matrices

    Jörg Berns-Müller;Ivan G. Graham;Alastair Spence

  • Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method

    Wolfgang Dahmen;Birgit Faermann;Ivan G. Graham;Wolfgang Hackbusch

  • Finite elements on degenerate meshes: inverse-type inequalities and applications

    Ivan G. Graham;Wolfgang Hackbusch;Stefan A. Sauter

  • Product integration-collocation methods for noncompact integral operator equations

    G. A. Chandler;I. G. Graham

  • High-order methods for linear functionals of solutions of second kind integral equations

    I. G. Graham;G. A. Chandler

  • Unstructured Additive Schwarz--Conjugate Gradient Method for Elliptic Problems with Highly Discontinuous Coefficients

    I. G. Graham;M. J. Hagger

  • Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation

    Timo Betcke;Simon Neil Chandler-Wilde;I. G. Graham;Stephen Langdon

  • A Convergent Adaptive Method for Elliptic Eigenvalue Problems

    S. Giani;I. G. Graham

  • Numerical Analysis of Multiscale Problems

    Ivan G. Graham;Thomas Y. Hou;Omar Lakkis;Robert Scheichl

Frequent Co-Authors

Robert Scheichl
Robert Scheichl Heidelberg University
Ian H. Sloan
Ian H. Sloan University of New South Wales
Frances Y. Kuo
Frances Y. Kuo University of New South Wales
Stefan A. Sauter
Stefan A. Sauter University of Zurich
Simon N. Chandler-Wilde
Simon N. Chandler-Wilde University of Reading
Wolfgang Hackbusch
Wolfgang Hackbusch Max Planck Institute for Mathematics in the Sciences
Kendall Atkinson
Kendall Atkinson University of Iowa
Thomas Y. Hou
Thomas Y. Hou California Institute of Technology

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