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Mathematics

D-Index
36
Citations
12830
World Ranking
2571
National Ranking
103

Overview

Robert M. Corless is affiliated with the University of Western Ontario in Canada. Their research primarily spans the fields of Computer Science and Mathematics, where they have contributed to numerous publications focused on computational theory, numerical analysis, and mathematical topics.

The main fields of study associated with Robert M. Corless include:

  • Computer Science
  • Mathematics

The subfields of study encompass:

  • Computational Theory and Mathematics
  • Numerical Analysis
  • Computational Mechanics
  • Geometry and Topology
  • Mathematical Physics

Their work covers a range of topics:

  • Polynomial and algebraic computation
  • Numerical methods for differential equations
  • Advanced Numerical Analysis Techniques
  • Numerical Methods and Algorithms
  • Matrix Theory and Algorithms
  • Computability, Logic, AI Algorithms
  • Graph theory and applications

Frequent collaborators of Robert M. Corless include Eunice Y. S. Chan, Neil J. Calkin, David J. Jeffrey, Leili Rafiee Sevyeri, and Juana Sendra.

The main venues for their publications are:

  • Maple Transactions
  • arXiv (Cornell University)
  • SIAM Review
  • AIMS Mathematics
  • Numerical Algorithms

Recent papers authored or coauthored by Robert M. Corless include:

  • "Blends have decent numerical properties," 2023, Maple Transactions
  • "Chaos Game Representation," 2023, SIAM Review
  • "Computation and Applications of Mathieu Functions: A Historical Perspective," 2021, SIAM Review
  • "Some Facts and Conjectures about Mandelbrot Polynomials," 2021, Maple Transactions
  • "Proceedings of the Maple Conference 2021," 2022, Maple Transactions

Robert M. Corless has contributed to book publications available through Springer Science+Business Media and the Society for Industrial and Applied Mathematics. Titles include:

  • "Maple in Mathematics Education and Research," 2021
  • "Computational Discovery on Jupyter," 2023

Best Publications

  • On the Lambert W function

    Robert M. Corless;Gaston H. Gonnet;D. E. G. Hare;David J. Jeffrey

  • Some applications of the Lambert W function to physics

    Sree R. Valluri;David J. Jeffrey;Robert M. Corless

  • The singular value decomposition for polynomial systems

    Robert M. Corless;Patrizia M. Gianni;Barry M. Trager;Stephen M. Watt

  • A sequence of series for the Lambert W function

    Robert M. Corless;David J. Jeffrey;Donald E. Knuth

  • A Graduate Introduction to Numerical Methods

    Robert M. Corless;Nicolas Fillion

  • Compact finite difference method for integro-differential equations

    Jichao Zhao;Robert M. Corless

  • QR factoring to compute the GCD of univariate approximate polynomials

    R.M. Corless;S.M. Watt;Lihong Zhi

  • Approximate and real trajectories for generic dynamical systems

    R.M. Corless;S.Y. Pilyugin

  • Linearization of matrix polynomials expressed in polynomial bases

    A. Amiraslani;R. M. Corless;P. Lancaster

  • A model of the combined effects of vortex-induced oscillation and galloping

    R.M. Corless;G.V. Parkinson

  • A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots

    Robert M. Corless;Patrizia M. Gianni;Barry M. Trager

  • Compact finite difference method for American option pricing

    Jichao Zhao;Matt Davison;Robert M. Corless

  • Initial value problems for ODEs in problem solving environments

    L. F. Shampine;Robert M. Corless

  • Continued fractions and chaos

    R. M. Corless

  • Emerging Tools for Experimental Mathematics

    Jonathan M. Borwein;Robert M. Corless

  • Numerical Implicitization of Parametric Hypersurfaces with Linear Algebra

    Robert M. Corless;Mark Giesbrecht;Ilias S. Kotsireas;Stephen M. Watt

  • Towards factoring bivariate approximate polynomials

    Robert M. Corless;Mark W. Giesbrecht;Mark van Hoeij;Ilias S. Kotsireas

  • Numerical methods can suppress chaos

    R.M. Corless;C. Essex;M.A.H. Nerenberg

  • Optimization strategies for the approximate GCD problem

    Paulina Chin;Robert M. Corless;George F. Corliss

  • On Lambert's W Function

    Robert M. Corless;Gaston Gonnet;D. E. G. Hare;David J. Jeffrey

  • Advances in Computational Mathematics

    Robert M. Corless;Gaston Gonnet;D. E. G. Hare;David J. Jeffrey

  • In Computer Algebra Handbook

    Robert M. Corless;Erich Kaltofen;Stephen M. Watt

Frequent Co-Authors

Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Donald E. Knuth
Donald E. Knuth Stanford University
Peter Borwein
Peter Borwein Simon Fraser University
Pei Yu
Pei Yu University of Western Ontario
John C. Butcher
John C. Butcher University of Auckland
Lawrence F. Shampine
Lawrence F. Shampine Southern Methodist University
Erich Kaltofen
Erich Kaltofen North Carolina State University
Nicholas J. Higham
Nicholas J. Higham University of Manchester
Peter Lancaster
Peter Lancaster University of Calgary

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