Add to ORKGIn this paper, a computational method of formal linearization, using a piecewise cubic Hermite interpolation is proposed. A nonlinear system represented by nonlinear ordinary differential equations is converted into an approximated linear system. Numerical computations are easily carried out with the aid of computers. Error analysis of the linearization is also discussed, and it is verified through some numerical examples
The paper deals with a linearization technique in non-linear oscillations for systems which are gove...
This paper presents a bilinear approach to nonlinear differential equations system approximation pro...
The objective of this paper is to assess both the applicability and the accuracy of lineariza-tion m...
. We show that the geometric Hermite interpolant can be easily calculated without solving a system o...
Generation of Multivariate Hermite Interpolating Polynomials advances the study of approximate solut...
summary:An algorithm for the Hermite-Birkhoff interpolation is presented, which reduces the problem ...
This paper is concerned with constructing polynomial solutions to ordinary boundary value problems. ...
A new Algorithm - based on cubic interpolation have been developed for solving non-linear algebraic ...
AbstractThis paper discusses various aspects of Hermite–Birkhoff interpolation that involve prescrib...
The polynomial eigenvalue problem for Hermite interpolation matrix polynomials is discussed. The sta...
In this book, we study theoretical and practical aspects of computing methods for mathematical model...
This paper is concerned with constructing polynomial solutions to ordinary boundary value problems. ...
The analysis of complex nonlinear systems is often carried out using simpler piecewise linear repres...
In this paper we use some well known theorems of algebraic geometry in reducing polynomial Hermite i...
We present several Hermite-type interpolation methods for rational cubics. In case the input data co...
The paper deals with a linearization technique in non-linear oscillations for systems which are gove...
This paper presents a bilinear approach to nonlinear differential equations system approximation pro...
The objective of this paper is to assess both the applicability and the accuracy of lineariza-tion m...
. We show that the geometric Hermite interpolant can be easily calculated without solving a system o...
Generation of Multivariate Hermite Interpolating Polynomials advances the study of approximate solut...
summary:An algorithm for the Hermite-Birkhoff interpolation is presented, which reduces the problem ...
This paper is concerned with constructing polynomial solutions to ordinary boundary value problems. ...
A new Algorithm - based on cubic interpolation have been developed for solving non-linear algebraic ...
AbstractThis paper discusses various aspects of Hermite–Birkhoff interpolation that involve prescrib...
The polynomial eigenvalue problem for Hermite interpolation matrix polynomials is discussed. The sta...
In this book, we study theoretical and practical aspects of computing methods for mathematical model...
This paper is concerned with constructing polynomial solutions to ordinary boundary value problems. ...
The analysis of complex nonlinear systems is often carried out using simpler piecewise linear repres...
In this paper we use some well known theorems of algebraic geometry in reducing polynomial Hermite i...
We present several Hermite-type interpolation methods for rational cubics. In case the input data co...
The paper deals with a linearization technique in non-linear oscillations for systems which are gove...
This paper presents a bilinear approach to nonlinear differential equations system approximation pro...
The objective of this paper is to assess both the applicability and the accuracy of lineariza-tion m...