Solving Finite Difference Approximations to Nonlinear Two-Point Boundary Value Problems by a Homotopy Method

Iterative Solution of Nonlinear Equations in Several Variables

2000 • 6,865 citations

Iterative Solution of Nonlinear Equations in Several Variables

1971 • 4,427 citations

Numerical methods

1974 • 1,767 citations

Computer solution of ordinary differential equations : the initial value problem

1975 • 1,324 citations

NUMERICAL SOLUTION OF BIFURCATION AND NONLINEAR EIGENVALUE PROBLEMS.

1977 • 1,051 citations

Linear least squares solutions by householder transformations

1965 • 494 citations

Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations

1980 • 437 citations

Numerical Solution of Two Point Boundary Value Problems

1986 • 411 citations

Numerical Solution of Two Point Boundary Value Problems

1976 • 392 citations

Finding zeroes of maps: homotopy methods that are constructive with probability one

1978 • 370 citations

Computer Solution of Ordinary Differential Equations

1976 • 345 citations

Solving Nonstiff Ordinary Differential Equations—The State of the Art

1976 • 267 citations

Homotopies for computation of fixed points on unbounded regions

1972 • 214 citations

Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]

1976 • 209 citations

A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results

1976 • 204 citations

A globally convergent algorithm for computing fixed points of C2 maps

1979 • 160 citations

The Squeezing of a Fluid Between Two Plates

1976 • 131 citations

On Solving Nonlinear Equations with a One-Parameter Operator Imbedding

1968 • 123 citations

Solving the Nonlinear Complementarity Problem by a Homotopy Method

1979 • 122 citations

Difference approximations for singular perturbations of systems of ordinary differential equations

1974 • 98 citations

The Solution of Nonlinear Systems of Equations by A-Stable Integration Techniques

1971 • 94 citations

An Algorithm That is Globally Convergent with Probability One for a Class of Nonlinear Two-Point Boundary Value Problems

1979 • 84 citations

Deceleration of a rotating disk in a viscous fluid

1979 • 80 citations

On the Convergence Rate of Algorithms for Solving Equations that are Based on Methods of Complementary Pivoting

1977 • 74 citations

Squeezing of a viscous fluid between elliptic plates

1979 • 70 citations

Algorithm 555: Chow-Yorke Algorithm for Fixed Points or Zeros of C ² Maps [C5]

1980 • 60 citations

Zur L�sung parameterabh�ngiger nichtlinearer Gleichungen mit singul�ren Jacobi-Matrizen

1978 • 60 citations

Zeros of Nonlinear Functions

1961 • 49 citations

Efficient Acceleration Techniques for Fixed Point Algorithms

1978 • 47 citations

Fluid Dynamics of the Elliptic Porous Slider

1978 • 42 citations

Viscous flow between rotating discs with injection on the porous disc

1979 • 37 citations

The Numerical Solution of Singular Perturbations of Boundary Value Problems

1970 • 36 citations

Computational experience with the Chow—Yorke algorithm

1980 • 25 citations

Optimal design by a homotopy method

1980 • 25 citations

Numerical study of porous channel flow in a rotating system by a homotopy method

1981 • 20 citations