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Mathematics

D-Index
31
Citations
3971
World Ranking
3345
National Ranking
40

Overview

Rob Stevenson is affiliated with the University of Amsterdam in the Netherlands. Their research primarily focuses on engineering, with a specialized concentration in computational mechanics and mathematical physics. The scientist's work spans several related subfields including computational theory and mathematics, mechanics of materials, and surgery.

The research topics covered by Rob Stevenson include:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in inverse problems
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in engineering
  • Probabilistic and Robust Engineering Design
  • Electromagnetic Simulation and Numerical Methods
  • Model Reduction and Neural Networks

Frequent co-authors collaborating with Rob Stevenson are:

  • Gregor Gantner
  • Harald Monsuur
  • Johannes Storn
  • Jan Westerdiep
  • Thom E. Snijders

Publications by Rob Stevenson have appeared multiple times in several academic venues, which include:

  • arXiv (Cornell University)
  • Computers & Mathematics with Applications
  • Clinical Orthopaedics and Related Research
  • Mathematics of Computation
  • IMA Journal of Numerical Analysis

Recent notable papers authored or co-authored by Rob Stevenson are:

  • Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations, 2020, IMA Journal of Numerical Analysis
  • Further results on a space-time FOSLS formulation of parabolic PDEs, 2020, ESAIM Mathematical Modelling and Numerical Analysis
  • A weighted POD-reduction approach for parametrized PDE-constrained Optimal Control Problems with random inputs and applications to environmental sciences, 2021, arXiv (Cornell University)
  • The Effect of Postural Pelvic Dynamics on the Three-dimensional Orientation of the Acetabular Cup in THA Is Patient Specific, 2020, Clinical Orthopaedics and Related Research
  • The Effect of Functional Pelvic Tilt on the Three-Dimensional Acetabular Cup Orientation in Total Hip Arthroplasty Dislocations, 2021, The Journal of Arthroplasty

Best Publications

  • Optimality of a Standard Adaptive Finite Element Method

    Rob Stevenson

  • THE COMPLETION OF LOCALLY REFINED SIMPLICIAL PARTITIONS CREATED BY BISECTION

    Rob P. Stevenson;Rob P. Stevenson

  • Space-time adaptive wavelet methods for parabolic evolution problems

    Christoph Schwab;Rob P. Stevenson

  • Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions

    Wolfgang Dahmen;Rob Stevenson

  • Adaptive Solution of Operator Equations Using Wavelet Frames

    Rob Stevenson

  • An optimal adaptive wavelet method without coarsening of the iterands

    Tsogtgerel Gantumur;Helmut Harbrecht;Rob P. Stevenson

  • An Adaptive Wavelet Method for Solving High-Dimensional Elliptic PDEs

    Tammo Jan Dijkema;Christoph Schwab;Rob Stevenson

  • A Goal-Oriented Adaptive Finite Element Method with Convergence Rates

    Mario S. Mommer;Rob Stevenson

  • Adaptive Frame Methods for Elliptic Operator Equations: The Steepest Descent Approach

    Stephan Dahlke;Thorsten Raasch;Manuel Werner;Massimo Fornasier

  • ON THE COMPRESSIBILITY OF OPERATORS IN WAVELET COORDINATES

    Rob P Stevenson

  • A robust Petrov-Galerkin discretisation of convection-diffusion equations

    Dirk Broersen;Rob Stevenson

  • An Optimal Adaptive Finite Element Method

    Rob Stevenson

  • Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results

    Nabi Chegini;Rob Stevenson

  • Adaptive wavelet methods for solving operator equations: An overview

    Rob Stevenson

  • Higher Order Mortar Finite Element Methods in 3D with Dual Lagrange Multiplier Bases

    B. P. Lamichhane;R. P. Stevenson;B. I. Wohlmuth

  • Locally Supported, Piecewise Polynomial Biorthogonal Wavelets on Nonuniform Meshes

    Rob Stevenson

  • Adaptive wavelet algorithms for elliptic PDE's on product domains

    Christoph Schwab;Rob P. Stevenson

  • A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form

    Dirk Broersen;Rob P. Stevenson

  • Stable three-point wavelet bases on general meshes

    Rob Stevenson

  • Computation of differential operators in wavelet coordinates

    Tsogtgerel Gantumur;Rob P. Stevenson

  • Computation of Singular Integral Operators in Wavelet Coordinates

    T. Gantumur;R. P. Stevenson

Frequent Co-Authors

Ricardo H. Nochetto
Ricardo H. Nochetto University of Maryland, College Park
Stephan Dahlke
Stephan Dahlke Philipp University of Marburg
Wolfgang Dahmen
Wolfgang Dahmen University of South Carolina
Helmut Harbrecht
Helmut Harbrecht University of Basel
Gitta Kutyniok
Gitta Kutyniok Ludwig-Maximilians-Universität München
Endre Süli
Endre Süli University of Oxford
Barbara Wohlmuth
Barbara Wohlmuth Technical University of Munich
Massimo Fornasier
Massimo Fornasier Technical University of Munich
Lars Diening
Lars Diening Bielefeld University

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