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Mathematics

D-Index
45
Citations
8874
World Ranking
1463
National Ranking
642

Research.com Recognitions

  • 2009 - SIAM Fellow For contributions to iterative methods for linear systems and numerical methods for partial differential equations.

Overview

Thomas A. Manteuffel is affiliated with the University of Colorado Boulder in the United States and has a research focus spanning engineering and mathematics, with particular emphasis on computational mechanics and numerical analysis. Their work covers several specialized subfields including computational theory and mathematics as well as statistical and nonlinear physics.

Their key research topics include advanced numerical methods in computational mathematics, numerical methods for differential equations, computational fluid dynamics and aerodynamics, model reduction and neural networks, matrix theory and algorithms, polynomial and algebraic computation, and advanced numerical analysis techniques.

Among their recent publications are:

  • On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid, 2024, SIAM Journal on Matrix Analysis and Applications
  • On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid, 2023, arXiv (Cornell University)
  • Multigrid reduction in time with Richardson extrapolation, 2021, ETNA - Electronic Transactions on Numerical Analysis
  • A least-squares finite element method based on the Helmholtz decomposition for hyperbolic balance laws, 2020, Numerical Methods for Partial Differential Equations

Frequent collaborators include Ben S. Southworth, Robert D. Falgout, B. O'Neill, Jacob B. Schroder, and Delyan Z. Kalchev.

The primary venues for their published work include:

  • ETNA - Electronic Transactions on Numerical Analysis
  • Numerical Methods for Partial Differential Equations
  • SIAM Journal on Matrix Analysis and Applications
  • arXiv (Cornell University)

Manteuffel has received recognition from the Society for Industrial and Applied Mathematics (SIAM) as a Fellow in 2009 for contributions to iterative methods for linear systems and numerical methods for partial differential equations.

Best Publications

  • An incomplete factorization technique for positive definite linear systems

    T. A. Manteuffel

  • The Tchebychev iteration for nonsymmetric linear systems

    Thomas A. Manteuffel

  • Necessary and Sufficient Conditions for the Existence of a Conjugate Gradient Method

    Vance Faber;Thomas Manteuffel

  • First-order system least squares for second-order partial differential equations: part I

    Z. Cai;R. Lazarov;T. A. Manteuffel;S. F. McCormick

  • A taxonomy for conjugate gradient methods

    Steven F. Ashby;Thomas A. Manteuffel;Paul E. Saylor

  • Algebraic Multigrid Based on Element Interpolation (AMGe)

    M. Brezina;A. J. Cleary;R. D. Falgout;V. E. Henson

  • A Technique for Accelerating the Convergence of Restarted GMRES

    A. H. Baker;E. R. Jessup;T. Manteuffel

  • Robustness and Scalability of Algebraic Multigrid

    Andrew J. Cleary;Robert D. Falgout;Van Emden Henson;Jim E. Jones

  • The numerical solution of second-order boundary value problems on nonuniform meshes

    Thomas A Manteuffel;Andrew B White

  • First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity

    Z. Cai;T. A. Manteuffel;S. F. McCormick

  • Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration

    Thomas A. Manteuffel

  • Adaptive multigrid algorithm for the lattice Wilson-Dirac operator.

    R. Babich;J. Brannick;R. C. Brower;M. A. Clark

  • Adaptive Algebraic Multigrid

    M. Brezina;R. Falgout;S. MacLachlanT. Manteuffel;S. McCormick

  • Supra-convergent schemes on irregular grids

    H O Kreiss;T A Manteuffel;B Swartz;B Wendroff

  • Adaptive Smoothed Aggregation ($lpha$SA) Multigrid

    M. Brezina;R. Falgout;S. MacLachlan;T. Manteuffel

  • Spectral AMGe ($ ho$AMGe)

    T. Chartier;R. D. Falgout;V. E. Henson;J. Jones

  • Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I

    P. Bochev;Z. Cai;T. A. Manteuffel;S. F. McCormick

  • Preconditioning and boundary conditions

    Thomas A. Manteuffel;Seymour V. Parter

  • Adaptive Smoothed Aggregation ($lpha$SA)

    M. Brezina;R. Falgout;S. MacLachlan;T. Manteuffel

  • An Upper Bound on the Diameter of a Graph from Eigenvalues Associated with its Laplacian

    F. R. K. Chung;V. Faber;Thomas A. Manteuffel

Frequent Co-Authors

Stephen F. McCormick
Stephen F. McCormick University of Colorado Boulder
Robert D. Falgout
Robert D. Falgout Lawrence Livermore National Laboratory
Zhiqiang Cai
Zhiqiang Cai Purdue University West Lafayette
Panayot S. Vassilevski
Panayot S. Vassilevski Lawrence Livermore National Laboratory
David E. Keyes
David E. Keyes King Abdullah University of Science and Technology
Pavel B. Bochev
Pavel B. Bochev Sandia National Laboratories
Harihar Rajaram
Harihar Rajaram Johns Hopkins University
Raytcho Lazarov
Raytcho Lazarov Texas A&M University
Michele Benzi
Michele Benzi Scuola Normale Superiore di Pisa
Howard C. Elman
Howard C. Elman University of Maryland, College Park

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