Numerical integration of the Davidenko equation
Data up to Jan 2025
Total Citations Per Year
Abstract
References (45)
Functional analysis
1973 • 14,327 citations
Generalized Inverses: Theory and Applications
1976 • 4,620 citations
Topological Methods in the Theory of Nonlinear Integral Equations.
1968 • 1,978 citations
Bifurcation from simple eigenvalues
1971 • 1,902 citations
Some global results for nonlinear eigenvalue problems
1971 • 1,826 citations
Topology from the Differentiable Viewpoint.
1967 • 1,474 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
Transversal mappings and flows
2008 • 840 citations
The measure of the critical values of differentiable maps
1942 • 528 citations
The Gradient Projection Method for Nonlinear Programming. Part II. Nonlinear Constraints
1961 • 505 citations
Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
1980 • 437 citations
A convergent process of price adjustment and global newton methods
1976 • 420 citations
Widely Convergent Method for Finding Multiple Solutions of Simultaneous Nonlinear Equations
1972 • 377 citations
Methods for solving systems of nonlinear equations
1987 • 240 citations
Least Change Secant Updates for Quasi-Newton Methods
1979 • 204 citations
A globally convergent algorithm for computing fixed points of C2 maps
1979 • 160 citations
Numerische Lösung nichtlinearer Gleichungen
1978 • 156 citations
Solution Fields of Nonlinear Equations and Continuation Methods
1980 • 154 citations
A New Method of Solving Nonlinear Simultaneous Equations
1969 • 143 citations
Generalized Inverses (Theory And Applications) (Adi Ben-Israel and Thomas N. E. Greville)
1976 • 138 citations
On sparse and symmetric matrix updating subject to a linear equation
1977 • 130 citations
Global Homotopies and Newton Methods
1978 • 127 citations
Global analysis and economics VI
1976 • 106 citations
A global bifurcation theorem with applications to functional differential equations
1975 • 102 citations
Numerical Methods for a Class of Finite Dimensional Bifurcation Problems
1978 • 99 citations
A stepsize control for continuation methods and its special application to multiple shooting techniques
1979 • 95 citations
An Algorithm That is Globally Convergent with Probability One for a Class of Nonlinear Two-Point Boundary Value Problems
1979 • 84 citations
A geometric method in nonlinear programming
1980 • 79 citations
The Solution of Non-Linear Equations and of Differential Equations with Two-Point Boundary Conditions
1961 • 78 citations
Some numerical results using a sparse matrix updating formula in unconstrained optimization
1978 • 71 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
On Tracing an Implicitly Defined Curve by Quasi-Newton Steps and Calculating Bifurcation by Local Perturbations
1981 • 59 citations
Fluid Dynamics of the Elliptic Porous Slider
1978 • 42 citations
A modified newton-raphson method for the solution of systems of equations
1965 • 38 citations
Continuous Newton-Raphson method for solving and underdetermined system of nonlinear equations
1979 • 37 citations
The Leray-Schauder continuation method is a constructive element in the numerical study of nonlinear eigenvalue and bifurcation problems
1979 • 36 citations
On the Superlinear Convergence of an Algorithm for Solving a Sparse Minimization Problem
1979 • 36 citations
A theorem on the amplitudes of periodic solutions of differential delay equations with applications to bifurcation
1978 • 34 citations
Topological Perturbations in the Numerical Study of Nonlinear Eigenvalue and Bifurcation Problems
1980 • 30 citations
Constructive methods for bifurcation and nonlinear eigenvalue problems
1979 • 29 citations
QUASI-NEWTON, OR MODIFICATION METHODS**This work has done while the author was Visiting Research Professor, Department of Computer Science, Cornell University, and was supported by NSF Grant #GJ-27528.
1973 • 14 citations
A derivative-free arc continuation method and a bifurcation technique
1981 • 12 citations
Global branching and multiplicity results for periodic solutions of functional differential equations
1979 • 4 citations