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  1. Blendstrings: an environment for computing with smooth functions

    Article • July 2023, ACM (Association for Computing Machinery)

    Robert Corless

  2. Bohemian Matrix Geometry

    Article • July 2022, ACM (Association for Computing Machinery)

    Robert Corless

  3. Finding patterns experimentally can help find proofs

    Article • July 2021, ACM (Association for Computing Machinery)

    Robert Corless

  4. Stirling’s Original Asymptotic Series from a Formula Like One of Binet’s and its Evaluation by Sequence Acceleration

    Article • Experimental Mathematics, April 2019, Taylor & Francis

    Robert Corless

  5. Gamma and Factorial in the Monthly

    Article • American Mathematical Monthly, April 2018, Taylor & Francis

    Robert Corless

  6. Linearization of a specific family of Bézout matrices

    Article • ACM Communications in Computer Algebra, May 2017, ACM (Association for Computing Machinery)

    Robert Corless

  7. Fibonacci-mandelbrot polynomials and matrices

    Article • ACM Communications in Computer Algebra, February 2017, ACM (Association for Computing Machinery)

    Robert Corless

  8. The bohemian eigenvalue project

    Article • ACM Communications in Computer Algebra, February 2017, ACM (Association for Computing Machinery)

    Robert Corless

  9. A new kind of companion matrix

    Article • Electronic Journal of Linear Algebra, February 2017, University of Wyoming Libraries

    Robert Corless

  10. Jordan Canonical Form with Parameters from Frobenius Form with Parameters

    Article • January 2017, Springer Science + Business Media

    Robert Corless

  11. Rapidly Convergent Integrals and Function Evaluation

    Article • January 2017, Springer Science + Business Media

    Robert Corless

  12. Variations on a Theme of Euler

    Article • SIAM Review, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Robert Corless

  13. Computation of Stirling Numbers and Generalizations

    Article • September 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Robert Corless

  14. Unwinding paths on the Riemann sphere for continuous integrals of rational functions

    Article • ACM Communications in Computer Algebra, June 2015, ACM (Association for Computing Machinery)

    Robert Corless

  15. The Bézout matrix for Hermite interpolants

    Article • Linear Algebra and its Applications, June 2015, Elsevier

    Robert Corless

  16. The kinetics of regeneration of rhodopsin under enzyme-limited availability of 11-cis retinoid

    Article • Vision Research, May 2015, Elsevier

    Robert Corless

  17. Backward Error of Polynomial Eigenvalue Problems Solved by Linearization of Lagrange Interpolants

    Article • SIAM Journal on Matrix Analysis and Applications, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Robert Corless

  18. Some definite integrals containing the Tree T function

    Article • ACM Communications in Computer Algebra, July 2014, ACM (Association for Computing Machinery)

    Robert Corless

  19. A Package for Parametric Matrix Computations

    Article • January 2014, Springer Science + Business Media

    Robert Corless

  20. High-Accuracy Series Solution for Two-Dimensional Convection in a Horizontal Concentric Cylinder

    Article • SIAM Journal on Applied Mathematics, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Robert Corless

  21. The asymptotic analysis of some interpolated nonlinear recurrence relations

    Article • January 2014, ACM (Association for Computing Machinery)

    Robert Corless

  22. Computing the topology of a real algebraic plane curve whose defining equations are available only “by values”

    Article • Computer Aided Geometric Design, October 2013, Elsevier

    Robert Corless

  23. Stability of rootfinding for barycentric Lagrange interpolants

    Article • Numerical Algorithms, September 2013, Springer Science + Business Media

    Robert Corless

  24. On the epistemological analysis of modeling and computational error in the mathematical sciences

    Article • Synthese, September 2013, Springer Science + Business Media

    Robert Corless

  25. AN APPLICATION OF REGULAR CHAIN THEORY TO THE STUDY OF LIMIT CYCLES

    Article • International Journal of Bifurcation and Chaos, September 2013, World Scientific Pub Co Pte Lt

    Robert Corless

  26. Pseudospectra of exponential matrix polynomials

    Article • Theoretical Computer Science, April 2013, Elsevier

    Robert Corless

  27. A Graduate Introduction to Numerical Methods

    Article • January 2013, Springer Science + Business Media

    Robert Corless

  28. The Largest Roots of the Mandelbrot Polynomials

    Article • January 2013, Springer Science + Business Media

    Robert Corless

  29. Stieltjes and other integral representations for functions of LambertW

    Article • Integral Transforms and Special Functions, August 2012, Taylor & Francis

    Robert Corless

  30. Algorithm 917

    Article • ACM Transactions on Mathematical Software, April 2012, ACM (Association for Computing Machinery)

    Robert Corless

  31. Bernstein, Pick, Poisson and related integral expressions for LambertW

    Article • Integral Transforms and Special Functions, December 2011, Taylor & Francis

    Robert Corless

  32. Rounding coefficients and artificially underflowing terms in non-numeric expressions

    Article • ACM Communications in Computer Algebra, July 2011, ACM (Association for Computing Machinery)

    Robert Corless

  33. GCD of multivariate approximate polynomials using beautification with the subtractive algorithm

    Article • January 2011, ACM (Association for Computing Machinery)

    Robert Corless

  34. Numerical stability of barycentric Hermite root-finding

    Article • January 2011, ACM (Association for Computing Machinery)

    Robert Corless

  35. Using weighted norms to find nearest polynomials satisfying linear constraints

    Article • January 2011, ACM (Association for Computing Machinery)

    Robert Corless

  36. Polynomial algebra for Birkhoff interpolants

    Article • Numerical Algorithms, April 2010, Springer Science + Business Media

    Robert Corless

  37. Symbolic computation of limit cycles associated with Hilbert’s 16th problem

    Article • Communications in Nonlinear Science and Numerical Simulation, December 2009, Elsevier

    Robert Corless

  38. Preface

    Article • Journal of Symbolic Computation, November 2009, Elsevier

    Prof. Dr. Reiner Lauterbach, Robert Corless

  39. Using symmetries in the eigenvalue method for polynomial systems

    Article • Journal of Symbolic Computation, November 2009, Elsevier

    Robert Corless

  40. Pseudospectra for exponential polynomial matrices

    Article • January 2009, ACM (Association for Computing Machinery)

    Robert Corless

  41. Algebraic properties of the LambertWfunction from a result of Rosenlicht and of Liouville

    Article • Integral Transforms and Special Functions, October 2008, Taylor & Francis

    Robert Corless

  42. Adaptivity and computational complexity in the numerical solution of ODEs

    Article • Journal of Complexity, June 2008, Elsevier

    Robert Corless

  43. The Computational Complexity of Extrapolation Methods

    Article • Mathematics in Computer Science, May 2008, Springer Science + Business Media

    Robert Corless

  44. Linearization of matrix polynomials expressed in polynomial bases

    Article • IMA Journal of Numerical Analysis, February 2008, Oxford University Press (OUP)

    Robert Corless

  45. Polynomial cost for solving IVP for high-index DAE

    Article • BIT Numerical Mathematics, February 2008, Springer Science + Business Media

    Robert Corless

  46. Broken symmetry and long-term forecasting

    Article • Journal of Geophysical Research Atmospheres, December 2007, American Geophysical Union (AGU)

    Robert Corless

  47. Pseudospectra of Matrix Polynomials that Are Expressed in Alternative Bases

    Article • Mathematics in Computer Science, October 2007, Springer Science + Business Media

    Robert Corless

  48. Compact finite difference method for American option pricing

    Article • Journal of Computational and Applied Mathematics, September 2007, Elsevier

    Robert Corless

  49. Block

    Article • Theoretical Computer Science, August 2007, Elsevier

    Robert Corless

  50. Jeffery-hamel flow with maple

    Article • January 2007, ACM (Association for Computing Machinery)

    Robert Corless

  51. The solution of s exp(s) = a is not always the lambert w function of a

    Article • January 2007, ACM (Association for Computing Machinery)

    Robert Corless

  52. Convergence of the compact finite difference method for second-order elliptic equations

    Article • Applied Mathematics and Computation, November 2006, Elsevier

    Robert Corless

  53. Compact finite difference method for integro-differential equations

    Article • Applied Mathematics and Computation, June 2006, Elsevier

    Robert Corless

  54. Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time

    Article • Numerical Algorithms, December 2005, Springer Science + Business Media

    Robert Corless

  55. The nearest polynomial with a given zero, revisited

    Article • ACM SIGSAM Bulletin, September 2005, ACM (Association for Computing Machinery)

    Robert Corless

  56. <tex>$QR$</tex>Factoring to Compute the GCD of Univariate Approximate Polynomials

    Article • IEEE Transactions on Signal Processing, December 2004, Institute of Electrical & Electronics Engineers (IEEE)

    Robert Corless

  57. Numerical parameterization of affine varieties using

    Article • January 2004, ACM (Association for Computing Machinery)

    Robert Corless

  58. Approximate computation of pseudovarieties

    Article • ACM SIGSAM Bulletin, September 2003, ACM (Association for Computing Machinery)

    Robert Corless

  59. The n th derivative

    Article • ACM SIGSAM Bulletin, March 2002, ACM (Association for Computing Machinery)

    Robert Corless

  60. Artificial Intelligence, Automated Reasoning, and Symbolic Computation

    Article • January 2002, Springer Science + Business Media

    Thomas Sturm, Robert Corless

  61. Article • Numerical Algorithms, January 2002, Springer Science + Business Media

    Robert Corless

  62. Article • Annals of Mathematics and Artificial Intelligence, January 2002, Springer Science + Business Media

    Robert Corless

  63. The Wright ω Function

    Article • January 2002, Springer Science + Business Media

    Robert Corless

  64. Symbolic-Numeric Algorithms for Polynomials: some recent results

    Article • January 2001, Springer Science + Business Media

    Robert Corless

  65. An elementary solution of a minimax problem arising in algorithms for automatic mesh selection

    Article • ACM SIGSAM Bulletin, December 2000, ACM (Association for Computing Machinery)

    Robert Corless

  66. Initial value problems for ODEs in problem solving environments

    Article • Journal of Computational and Applied Mathematics, December 2000, Elsevier

    Robert Corless

  67. “According to Abramowitz and Stegun” or arccoth needn't be uncouth

    Article • ACM SIGSAM Bulletin, June 2000, ACM (Association for Computing Machinery)

    Robert Corless

  68. Emerging Tools for Experimental Mathematics

    Article • American Mathematical Monthly, December 1999, Taylor & Francis

    Robert Corless

  69. Approximate polynomial decomposition

    Article • January 1999, ACM (Association for Computing Machinery)

    Robert Corless

  70. Quadratic Nonlinear Predictive Control

    Article • Industrial & Engineering Chemistry Research, June 1998, American Chemical Society (ACS)

    Robert Corless

  71. Graphing elementary Riemann surfaces

    Article • ACM SIGSAM Bulletin, March 1998, ACM (Association for Computing Machinery)

    Robert Corless

  72. Variations on a Theme of Newton

    Article • Mathematics Magazine, February 1998, Taylor & Francis

    Robert Corless

  73. Variations on a Theme of Newton

    Article • Mathematics Magazine, February 1998, Taylor & Francis

    Robert Corless

  74. Scientific Computing: One Part of the Revolution

    Article • Journal of Symbolic Computation, May 1997, Elsevier

    Robert Corless

  75. Two Perturbation Calculations in Fluid Mechanics using Large-expression Management

    Article • Journal of Symbolic Computation, April 1997, Elsevier

    Robert Corless

  76. A sequence of series for the Lambert W function

    Article • January 1997, ACM (Association for Computing Machinery)

    Robert Corless

  77. Gröbner bases and matrix eigenproblems

    Article • ACM SIGSAM Bulletin, December 1996, ACM (Association for Computing Machinery)

    Robert Corless

  78. The unwinding number

    Article • ACM SIGSAM Bulletin, June 1996, ACM (Association for Computing Machinery)

    Robert Corless

  79. Cofactor iteration

    Article • ACM SIGSAM Bulletin, March 1996, ACM (Association for Computing Machinery)

    Robert Corless

  80. Bifurcation in a flow-induced vibration model

    Article • August 1995, American Mathematical Society (AMS)

    Robert Corless

  81. Symbolic computation in nonlinear dynamics

    Article • Open Systems & Information Dynamics, April 1995, Springer Science + Business Media

    Robert Corless

  82. Approximate and Real Trajectories for Generic Dynamical Systems

    Article • Journal of Mathematical Analysis and Applications, January 1995, Elsevier

    Robert Corless

  83. Essential Maple

    Article • January 1995, Springer Science + Business Media

    Robert Corless

  84. Evaluation of Upper Lyapunov Exponents on Hyperbolic Sets

    Article • Journal of Mathematical Analysis and Applications, January 1995, Elsevier

    Robert Corless

  85. What good are numerical simulations of chaotic dynamical systems?

    Article • Computers & Mathematics with Applications, November 1994, Elsevier

    Robert Corless

  86. Error backward

    Article • January 1994, American Mathematical Society (AMS)

    Robert Corless

  87. Solution of Banded Linear Systems of Equations in Maple Using LU Factorization

    Article • January 1994, Springer Science + Business Media

    Robert Corless

  88. Sufficiency analysis for the calculus of variations

    Article • January 1994, ACM (Association for Computing Machinery)

    Robert Corless

  89. What is a solution of an ODE?

    Article • ACM SIGSAM Bulletin, December 1993, ACM (Association for Computing Machinery)

    Robert Corless

  90. Mathematical Modelling of the Combined Effects of Vortex-Induced Vibration and Galloping. Part II

    Article • Journal of Fluids and Structures, November 1993, Elsevier

    Robert Corless

  91. Defect-controlled numerical methods and shadowing for chaotic differential equations

    Article • Physica D Nonlinear Phenomena, November 1992, Elsevier

    Robert Corless

  92. Well … it isn't quite that simple

    Article • ACM SIGSAM Bulletin, August 1992, ACM (Association for Computing Machinery)

    Robert Corless

  93. Numerical evaluation of airy functions with complex arguments

    Article • Journal of Computational Physics, March 1992, Elsevier

    Robert Corless

  94. Solving linear integral equations in Maple

    Article • January 1992, ACM (Association for Computing Machinery)

    Robert Corless

  95. Numerical methods can suppress chaos

    Article • Physics Letters A, July 1991, Elsevier

    Robert Corless

  96. Chaos and continued fractions

    Article • Physica D Nonlinear Phenomena, November 1990, Elsevier

    Robert Corless

  97. Solution of a hydrodynamic lubrication problem with Maple

    Article • Journal of Symbolic Computation, April 1990, Elsevier

    Robert Corless

  98. Stress moments of nearly touching spheres in low Reynolds number flow

    Article • Zeitschrift für angewandte Mathematik und Physik, November 1988, Springer Science + Business Media

    Robert Corless

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

    Article • Journal of Fluids and Structures, May 1988, Elsevier

    Robert Corless

  100. Financial Applications of Symbolically Generated Compact Finite Difference Formulae

    Article • Springer Science + Business Media

    Robert Corless

  101. On a Generalized Companion Matrix Pencil for Matrix Polynomials Expressed in the Lagrange Basis

    Article • Springer Science + Business Media

    Robert Corless