Add to ORKGThe objective of this paper is to prove the convergence of a linear implicit multi-step numerical method for ordinary differential equations. The algorithm is obtained via Taylor approximations. The convergence is proved following the Dahlquist theory. As an additional topic, the time stability is established too. Comparative tests between some of the most known numerical methods and this method are presented
MULTISTEP RUNGE-KUTTA METHODS FOR SOLVING DAEs. Several methods have been used by some authors to so...
In many applications, large systems of ordinary differential equations (ODEs) have to be solved nume...
Implicit-explicit (IMEX) linear multistep methods are popular techniques for solving partial differe...
A great many physical occurrences give rise to problems that often result in differential equations....
summary:The author considers the convergence of quasilinear nonstationary multistep methods for syst...
This paper studies a general method for the numerical integration of ordinary differential equations...
A new 3-point three step method is developed for solving system of first order ordinary differential...
A new four-point implicit block multistep method is developed for solving systems of first-order ord...
A new 3-point three step method is developed for solving system of first order ordinary differential...
Standard ODE methods such as linear multistep methods encounter difficulties when applied to differe...
AbstractA new four-point implicit block multistep method is developed for solving systems of first-o...
A new four-point implicit block multistep method is developed for solving systems of first-order ord...
A new four-point implicit block multistep method is developed for solving systems of first-order ord...
A new four-point implicit block multistep method is developed for solving systems of first-order ord...
The objectives of this thesis are to design, analyze and numerically investigate easily implementabl...
MULTISTEP RUNGE-KUTTA METHODS FOR SOLVING DAEs. Several methods have been used by some authors to so...
In many applications, large systems of ordinary differential equations (ODEs) have to be solved nume...
Implicit-explicit (IMEX) linear multistep methods are popular techniques for solving partial differe...
A great many physical occurrences give rise to problems that often result in differential equations....
summary:The author considers the convergence of quasilinear nonstationary multistep methods for syst...
This paper studies a general method for the numerical integration of ordinary differential equations...
A new 3-point three step method is developed for solving system of first order ordinary differential...
A new four-point implicit block multistep method is developed for solving systems of first-order ord...
A new 3-point three step method is developed for solving system of first order ordinary differential...
Standard ODE methods such as linear multistep methods encounter difficulties when applied to differe...
AbstractA new four-point implicit block multistep method is developed for solving systems of first-o...
A new four-point implicit block multistep method is developed for solving systems of first-order ord...
A new four-point implicit block multistep method is developed for solving systems of first-order ord...
A new four-point implicit block multistep method is developed for solving systems of first-order ord...
The objectives of this thesis are to design, analyze and numerically investigate easily implementabl...
MULTISTEP RUNGE-KUTTA METHODS FOR SOLVING DAEs. Several methods have been used by some authors to so...
In many applications, large systems of ordinary differential equations (ODEs) have to be solved nume...
Implicit-explicit (IMEX) linear multistep methods are popular techniques for solving partial differe...