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Browsing Department of Physical Science by Subject "Fixed point"

Now showing items 1-4 of 4

A Combined Error Control with Forward Euler Method for Dynamical Systems

Vigneswaran, R.; Thilaganathan, S. (World Academy of Science, Engineering and Technology, 2016-05-12)

Variable time-stepping algorithms for solving dynamical systems performed poorly for long time computations which pass close to a fixed point. To overcome this difficulty, several authors considered phase space error ...
Phase space error control with variable time-stepping algorithms applied to the forward Euler method for autonomous dynamical systems

Vigneswaran, R.; Thilaganathan, S. (Advances in mathematical sciences, knowvel, 2019-03-31)

We consider a phase space stability error control for numerical simulation of dynamical systems. Standard adaptive algorithm used to solve the linear systems perform well during the finite time of integration with fixed ...
Phase Space Error Control with Variable Time-Stepping Algorithms applied to the Forward Euler method for Dynamical Systems

Thilaganathan, S.; Vigneswaran, R. (University of Jaffna, 2016-08-12)

We consider a phase space stability error control for numerical simulation of dynamical systems. Tony Humphries and Vigneswaran, R., in “Phase space stability error control with variable time-stepping Runge-Kutta methods ...
Phase space theta error control with general explicit Runge-Kutta methods for dynamical systems

Thilaganathan, S.; Vigneswaran, R.; Samarathunga, D.M. (PGIS, 2019-10-11)

Variable time-stepping algorithms are often used to solve the dynamical systems, defined by autonomous initial value ordinary differential equations =f, y(0)=y0 m, where f : is a Lipschitz continuous function. Standard ...

Browsing Department of Physical Science by Subject "Fixed point"

Browsing Department of Physical Science by Subject "Fixed point"

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