Efficiency in solving differential equations is improved by increasing the order of a Taylor series approximation. Computing time can be reduced up to a factor of 40 and an amount of memory storage can be saved, up to a factor of 70. The truncation error can be estimated not only by order but also by magnitude
In this paper, we introduce various numerical methods for the solutions of ordinary differential equ...
This paper is one of a series underpinning the authors’ DAETS code for solving DAE initial value pro...
It is the major purpose of this thesis to propose finite difference techniques of improved accuracy ...
Efficiency in solving differential equations is improved by increasing the order of a Taylor series ...
The Taylor series method is one of the earliest analytic-numeric algorithms for approximate solution...
Nearly 20 years ago we produced a treatise (of about the same length as this book) entitled Computin...
peer reviewedWe provide a primer to numerical methods based on Taylor series expansions such as gene...
System modeling can help designers make and verify design decisions early in the design process if t...
The importance of ordinary differential equation and also systems of these equations in scientific w...
We propose a renovated approach around the use of Taylor expansions to provide polynomial approximat...
AbstractProblem-dependent upper and lower bounds are given for the stepsize taken by long Taylor ser...
A programming implementation of the Taylor series method is presented for solving ordinary different...
AbstractThe Taylor series method is one of the earliest analytic-numeric algorithms for approximate ...
This thesis is concerned with the numerical solutions of initial value problems with ordinary differ...
Computational techniques for the numerical solution of ordinary differential equation
In this paper, we introduce various numerical methods for the solutions of ordinary differential equ...
This paper is one of a series underpinning the authors’ DAETS code for solving DAE initial value pro...
It is the major purpose of this thesis to propose finite difference techniques of improved accuracy ...
Efficiency in solving differential equations is improved by increasing the order of a Taylor series ...
The Taylor series method is one of the earliest analytic-numeric algorithms for approximate solution...
Nearly 20 years ago we produced a treatise (of about the same length as this book) entitled Computin...
peer reviewedWe provide a primer to numerical methods based on Taylor series expansions such as gene...
System modeling can help designers make and verify design decisions early in the design process if t...
The importance of ordinary differential equation and also systems of these equations in scientific w...
We propose a renovated approach around the use of Taylor expansions to provide polynomial approximat...
AbstractProblem-dependent upper and lower bounds are given for the stepsize taken by long Taylor ser...
A programming implementation of the Taylor series method is presented for solving ordinary different...
AbstractThe Taylor series method is one of the earliest analytic-numeric algorithms for approximate ...
This thesis is concerned with the numerical solutions of initial value problems with ordinary differ...
Computational techniques for the numerical solution of ordinary differential equation
In this paper, we introduce various numerical methods for the solutions of ordinary differential equ...
This paper is one of a series underpinning the authors’ DAETS code for solving DAE initial value pro...
It is the major purpose of this thesis to propose finite difference techniques of improved accuracy ...
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