Add to ORKGCertain practical difficulties associated with the implementation of a class of implicit Runge-Kutta procedures are considered. In particular the problems concerning the estimation of the local truncation error, the derivation of algorithms which exploit any sparseness properties inherent in the Jacobian matrix and the development of simple predictors for use in conjunction with the quasi-Newton iteration procedures used to generate a solution of the algebraic equations occurring at each step point are examined. 1
textabstractWe shall consider iteration processes for solving the implicit relations associated with...
Implicit Runge-Kutta methods are used for solving stiff ODEs such as those arising in mechanical or ...
AbstractIn the implementation of an implicit Runge-Kutta formula, we need to solve systems of nonlin...
Implicit Runge–Kutta methods have a special role in the numerical solution of stiff problems, such...
Implicit Runge–Kutta methods have a special role in the numerical solution of stiff problems, such...
Implicit Runge–Kutta methods have a special role in the numerical solution of stiff problems, such...
Implicit Runge–Kutta methods have a special role in the numerical solution of stiff problems, such...
We consider possibly sti# and implicit systems of ordinary di#erential equations (ODEs). The major d...
AbstractThe nonlinear equations, arising in the implementation of implicit Runge-Kutta methods, may ...
AbstractFor implicit Runge-Kutta methods intended for stiff ODEs or DAEs, it is often difficult to e...
AbstractIn this paper we consider a class of iterative schemes for implicit Runge-Kutta methods. Sub...
We propose a new iteration for solving implicit Runge–Kutta equations, using the Jacobian of the vec...
AbstractA number of questions and results concerning Runge-Kutta and general linear methods are surv...
A major problem in obtaining an e#cient implementation of fully implicit RungeKutta (IRK) methods ap...
AbstractThis paper is concerned with implicit Runge-Kutta methods for the numerical solution of init...
textabstractWe shall consider iteration processes for solving the implicit relations associated with...
Implicit Runge-Kutta methods are used for solving stiff ODEs such as those arising in mechanical or ...
AbstractIn the implementation of an implicit Runge-Kutta formula, we need to solve systems of nonlin...
Implicit Runge–Kutta methods have a special role in the numerical solution of stiff problems, such...
Implicit Runge–Kutta methods have a special role in the numerical solution of stiff problems, such...
Implicit Runge–Kutta methods have a special role in the numerical solution of stiff problems, such...
Implicit Runge–Kutta methods have a special role in the numerical solution of stiff problems, such...
We consider possibly sti# and implicit systems of ordinary di#erential equations (ODEs). The major d...
AbstractThe nonlinear equations, arising in the implementation of implicit Runge-Kutta methods, may ...
AbstractFor implicit Runge-Kutta methods intended for stiff ODEs or DAEs, it is often difficult to e...
AbstractIn this paper we consider a class of iterative schemes for implicit Runge-Kutta methods. Sub...
We propose a new iteration for solving implicit Runge–Kutta equations, using the Jacobian of the vec...
AbstractA number of questions and results concerning Runge-Kutta and general linear methods are surv...
A major problem in obtaining an e#cient implementation of fully implicit RungeKutta (IRK) methods ap...
AbstractThis paper is concerned with implicit Runge-Kutta methods for the numerical solution of init...
textabstractWe shall consider iteration processes for solving the implicit relations associated with...
Implicit Runge-Kutta methods are used for solving stiff ODEs such as those arising in mechanical or ...
AbstractIn the implementation of an implicit Runge-Kutta formula, we need to solve systems of nonlin...