Absolute Monotonicity of Polynomials Occurring in the Numerical Solution of Initial Value Problems.
Absolute Monotonicity of Rational Functions Occurring in the Numerical Solution of Initial Value Problems.
Accelerated Runge-Kutta methods.
Acceleration of implicit schemes for large systems of nonlinear ODEs.
Acceleration of Runge-Kutta integration schemes.
Accumulation of global error in Lie group methods for linear ordinary differential equations.
Accuracy and Stability of Multistage Multistep Formulas.
Accurate computation of higher Sturm-Liouville eigenvalues.
Accurate WKB Approximation for a 1D Problem with Low Regularity
2000 Mathematics Subject Classification: 34L40, 65L10, 65Z05, 81Q20.This article is concerned with the analysis of the WKB expansion in a classically forbidden region for a one dimensional boundary value Schrodinger equation with a non smooth potential. The assumed regularity of the potential is the one coming from a non linear problem and seems to be the critical one for which a good exponential decay estimate can be proved for the first remainder term. The treatment of the boundary conditions brings...
Adams Methods for Neutral Functional Differential Equations.
Adaptive finite-time generalized outer synchronization between two different dimensional chaotic systems with noise perturbation
This paper is further concerned with the finite-time generalized outer synchronization between two different dimensional chaotic systems with noise perturbation via an adaptive controller. First of all, we introduce the definition of finite-time generalized outer synchronization between two different dimensional chaotic systems. Then, employing the finite-time stability theory, we design an adaptive feedback controller to realize the generalized outer synchronization between two different dimensional...
Affine-invariant monotone iteration methods with application to systems of nonlinear two-point boundary value problems
In this paper we present a new theorem for monotone including iteration methods. The conditions for the operators considered are affine-invariant and no topological properties neither of the linear spaces nor of the operators are used. Furthermore, no inverse-isotony is demanded. As examples we treat some systems of nonlinear ordinary differential equations with two-point boundary conditions.
Algorithm 47. Solution of a first-order non-linear differential equation in Chebyshev series
Algorithm 87. A procedure realizing a fourth order one-step method for solving a system of ordinary differential equations
Algorithm 89. A procedure realizing a fourth order one-step method for solving a system of ordinary differential equations of the form y''=f(x,y,y')
Algorithm 90. A procedure realizing a second order one-step method solving a system of ordinary differential equations
Algorithms 85-86. Two realizations of the trapezoidal method for solving the initial value problem
Algorithms 91-92. Two one-step methods with a given parameter
Algorithms for the inclusion of solutions of ordinary initial value problems
Algunos aspectos numéricos de la ecuación deiferencial de Duffing