Kendall E. Atkinson

Kendall E. Atkinson's AcademicInfluence.com Rankings

Kendall E. Atkinson

Mathematics

#6343

World Rank

#8804

Historical Rank

Applied Mathematics

#214

World Rank

#235

Historical Rank

Measure Theory

#1282

World Rank

#1624

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Kendall E. Atkinson's Degrees

PhD Mathematics Stanford University
Masters Mathematics Stanford University

Why Is Kendall E. Atkinson Influential?

(Suggest an Edit or Addition)

(See a Problem?)

Kendall E. Atkinson's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Numerical Solution of Integral Equations of the Second Kind (1997) (1814)
An introduction to numerical analysis (1979) (1492)
A survey of numerical methods for the solution of Fredholm integral equations of the second kind (1977) (603)
Spherical Harmonics and Approximations on the Unit Sphere: An Introduction (2012) (389)
Theoretical Numerical Analysis: A Functional Analysis Framework (2001) (346)
Theoretical Numerical Analysis (2001) (297)
Elementary numerical analysis (1985) (230)
Numerical integration on the sphere (1982) (191)
A Survey of Numerical Methods for Solving Nonlinear Integral Equations (1992) (161)
Numerical Solution of Fredholm Integral Equations of the Second Kind (1967) (151)
Projection and iterated projection methods for nonliear integral equations (1987) (121)
The Numerical Evaluation of Particular Solutions for Poisson's Equation (1985) (119)
Application of Singular Value Decomposition for Analysis of Mechanical System Dynamics (1985) (110)
Piecewise Continuous Collocation for Integral Equations (1983) (107)
The Numerical Solution of Integral Equations of the Second Kind: Index (1997) (91)
Iterative variants of the Nyström method for the numerical solution of integral equations (1974) (83)
The discrete collocation method for nonlinear integral equations (1993) (83)
A Partial Characterization of Poised Hermite–Birkhoff Interpolation Problems (1969) (81)
The numerical solutions of the eigenvalue problem for compact integral operators (1967) (78)
The Numerical Evaluation of Fixed Points for Completely Continuous Operators (1973) (70)
Algorithm 876: Solving Fredholm Integral Equations of the Second Kind in Matlab (2008) (69)
A Survey of Boundary Integral Equation Methods for the Numerical Solution of Laplace’s Equation in Three Dimensions (1990) (66)
The Discrete Galerkin Method for Integral Equations (1987) (65)
THE NUMERICAL SOLUTION OF FIRST-KIND LOGARITHMIC-KERNEL INTEGRAL EQUATIONS ON SMOOTH OPEN ARCS (1991) (63)
Piecewise Polynomial Collocation for Boundary Integral Equations (1995) (62)
Numerical Solution of Ordinary Differential Equations: Atkinson/Numerical (2009) (62)
The Numerical Solution of Laplace’s Equation in Three Dimensions (1982) (52)
The Numerical Solution of Integral Equations on the Half-Line (1969) (52)
Convergence Rates for Approximate Eigenvalues of Compact Integral Operators (1975) (48)
The Collocation Method for Solving the Radiosity Equation for Unoccluded Surfaces (1998) (45)
A DISCRETE GALERKIN METHOD FOR FIRST KIND INTEGRAL EQUATIONS WITH A LOGARITHMIC KERNEL (1988) (44)
An Existence Theorem for Abel Integral Equations (1974) (43)
Numerical Solution of Ordinary Differential Equations (2009) (38)
The Discrete Galerkin method for nonlinear integral equations (1988) (35)
BOUNDARY INTEGRAL EQUATION METHODS FOR SOLVING LAPLACE'S EQUATION WITH NONLINEAR BOUNDARY CONDITIONS: THE SMOOTH BOUNDARY CASE (1990) (34)
The Numerical Solution of an Abel Integral Equation by a Product Trapezoidal Method (1974) (33)
Iterative Solution of Linear Systems Arising from the Boundary Integral Method (1992) (30)
The Numerical Solution of Boundary Integral Equations (1997) (29)
Two-Grid Iteration Methods for Linear Integral Equations of the Second Kind on Piecewise Smooth Surfaces in ℝ3 (1994) (29)
The numerical solution of Fredholm integral equations of the second kind with singular kernels (1972) (28)
On the norm of the hyperinterpolation operator on the unit disc and its use for the solution of the nonlinear Poisson equation (2008) (26)
The solution of non-unique linear integral equations (1967) (25)
A spectral method for elliptic equations: the Neumann problem (2009) (25)
Two‐point boundary value problems (2011) (25)
On the Order of Convergence of Natural Cubic Spline Interpolation (1968) (24)
A spectral method for elliptic equations: the Dirichlet problem (2008) (24)
An Automatic Program for Linear Fredholm Integral Equations of the Second Kind (1976) (23)
QUADRATURE OF SINGULAR INTEGRANDS OVER SURFACES (2004) (23)
Solving Integral Equations on Surfaces in Space (1985) (22)
The Numerical Evaluation of the Cauchy Transform on Simple Closed Curves (1972) (22)
The planar radiosity equation and its numerical solution (2000) (21)
Algorithm 629: An integral equation program for Laplace's equation in three dimensions (1985) (21)
A fast matrix–vector multiplication method for solving the radiosity equation (2000) (21)
The Numerical Solution of a Bifurcation Problem (1977) (20)
Solving the Nonlinear Poisson Equation on the Unit Disk (2005) (20)
Modelling a Road Using Spline Interpolation (2002) (19)
The numerical solution of a non-linear boundary integral equation on smooth surfaces (1994) (17)
USER'S GUIDE TO A BOUNDARY ELEMENT PACKAGE FOR SOLVING INTEGRAL EQUATIONS ON PIECEWISE SMOOTH SURFACES (1993) (16)
The Numerical Solution of Integral Equations of the Second Kind: Solving multivariable integral equations (1997) (16)
A Spectral Method for the Eigenvalue Problem for Elliptic Equations (2009) (16)
Numerical evaluation of line integrals (1993) (16)
NUMERICAL ANALYSIS OF THE RADIOSITY EQUATION USING THE COLLOCATION METHOD (2000) (16)
The Numerical Solution of Laplace’s Equation in Three Dimensions—II (1980) (15)
A discrete Galerkin method for a hypersingular boundary integral equation (1997) (15)
Algorithm 788: automatic boundary integral equation programs for the planar Laplace equation (1998) (13)
On the Discrete Galerkin Method for Fredholm Integral Equations of the Second Kind (1989) (13)
On the Numerical Solution of Some Semilinear Elliptic Problems – II (2005) (12)
Quadrature over the sphere. (2005) (11)
On the Sloan iteration applied to integral equations of the first kind (1993) (8)
CREATING DOMAIN MAPPINGS (2011) (8)
Stiff differential equations (2011) (7)
A study of the fast solution of the occluded radiosity equation. (2006) (6)
A spectral method for parabolic differential equations (2012) (6)
Evaluating polynomials over the unit disk and the unit ball (2013) (5)
Two-dimensional quadrature for functions with a point singularity on a triangular region (1995) (5)
Some integral identities for spherical harmonics in an arbitrary dimension (2012) (4)
Semi-Discrete Galerkin Approximations for the Single-Layer Equation on Lipschitz Curves (1997) (4)
Spectral Methods Using Multivariate Polynomials on the Unit Ball (2019) (4)
A spectral method for nonlinear elliptic equations (2014) (4)
Boundary integral equation methods for solving Laplace's equation with nonlinear boundary conditions (1990) (4)
Algorithm 503: An Automatic Program for Fredholm Integral Equations of the Second Kind [D5] (1976) (3)
A personal perspective on the history of the numerical analysis of Fredholm integral equations of the second kind (2009) (3)
Multivariate quadrature of a singular integrand (2021) (2)
Applications: Spectral Methods (2012) (2)
The backward Euler method and the trapezoidal method (2011) (2)
Euler's method (2011) (2)
Supplement to The Discrete Galerkin Method for Integral Equations (1987) (2)
A spectral method for an elliptic equation with a nonlinear Neumann boundary condition (2018) (2)
Theory of differential equations: An introduction (2011) (1)
Fourier Analysis and Wavelets (2009) (1)
Finite Difference Method (2009) (1)
Pure and Applied Mathematics (2011) (1)
Elliptic Variational Inequalities and Their Numerical Approximations (2001) (1)
Taylor and Runge–Kutta methods (2011) (1)
PIECEWISEPOLYNOMIAL COLLOCATIONFORBOUNDARYINTEGRAL EQUATIONS (1995) (1)
M. Zuhair Nashed: A Biographical Tribute (2008) (1)
The Numerical Solution of Integral Equations of the Second Kind: The Nyström method (1997) (1)
Implicit RK methods for stiff differential equations (2011) (1)
Nonlinear Equations (2019) (0)
Multivariate Polynomials (2019) (0)
Nonlinear Neumann Boundary Value Problems (2019) (0)
Integral Equations (2019) (0)
The Numerical Solution of Integral Equations of the Second Kind: Projection methods (1997) (0)
Computational Linear Algebra (2019) (0)
The Numerical Solution of Integral Equations of the Second Kind: Degenerate kernel methods (1997) (0)
The Biharmonic Equation (2019) (0)
Weak Formulations of Elliptic Boundary Value Problems (2009) (0)
Creating Transformations of Regions (2019) (0)
A Spectral Method for Nonlinear Elliptic Equations (Preliminary Incomplete Version) (2014) (0)
Volterra integral equations (2011) (0)
A Spectral Method for the Biharmonic Equation (2018) (0)
Analytic Evaluation of Collocation Integrals for the Radiosity Equation (2005) (0)
The Numerical Solution of Integral Equations of the Second Kind: Bibliography (1997) (0)
Linear Operators on Normed Spaces (2009) (0)
Differentiation and Integration over the Sphere (2012) (0)
The Numerical Solution of Integral Equations of the Second Kind: Boundary integral equations in three dimensions (1997) (0)
The Numerical Solution of Integral Equations of the Second Kind: Boundary integral equations on a piecewise smooth planar boundary (1997) (0)
Nonlinear Equations and Their Solution by Iteration (2009) (0)
An integral equation program for the planar Laplace equation (2007) (0)
Numerical analysis (2007) (0)
Boundary Integral Equations (2009) (0)
Appendix A: Taylor's Theorem (2011) (0)
An introduction to numerical analysis / Kendal E. Atkinson (1989) (0)
Boundary integral equations on a smooth planar boundary (1997) (0)
The Numerical Solution of Integral Equations of the Second Kind: Iteration methods (1997) (0)
A spectral method for nonlinear elliptic equations (2016) (0)
A spectral method for parabolic differential equations (2012) (0)
Advanced Numerical Analysis (2007) (0)
Variational Formulations of Elliptic Boundary Value Problems (2001) (0)
Systems of differential equations (2011) (0)
Differential algebraic equations (2011) (0)
The Numerical Solution of Integral Equations of the Second Kind: A brief discussion of integral equations (1997) (0)
The Galerkin Method and Its Variants (2009) (0)
Galerkin’s Method for the Dirichlet and Neumann Problems (2019) (0)
The Numerical Solution of Integral Equations of the Second Kind: Appendix: Results from functional analysis (1997) (0)
Multivariable Polynomial Approximations (2009) (0)
An Introduction to Numerical Analysis: Solutions Manual (1978) (0)
Appendix B: Polynomial interpolation (2011) (0)
A spectral method for an elliptic equation with a nonlinear Neumann boundary condition (2018) (0)
General error analysis for multistep methods (2011) (0)
Elementary numerical analysis / Kendall Atkinson (1985) (0)
The Numerical Solution of Integral Equations of the Second Kind: Preface (1997) (0)
Introduction: Dedication to Charles W. Groetsch (2010) (0)

This paper list is powered by the following services:

What Schools Are Affiliated With Kendall E. Atkinson?

Kendall E. Atkinson is affiliated with the following schools:

University of Iowa

Kendall E. Atkinson's Academic­Influence.com Rankings

Kendall E. Atkinson's Degrees

Why Is Kendall E. Atkinson Influential?

Kendall E. Atkinson's Published Works

Published Works

What Schools Are Affiliated With Kendall E. Atkinson?

Kendall E. Atkinson's AcademicInfluence.com Rankings