Browsing by Author "Dr. Yousaf Habib, Assistant Profesor [Supervisor]"

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    G-Symplectic Partitioned General Linear Methods
    (Library Information Services, COMSATS University, Lahore Campus, 2018) Muhammad Sarfraz Khan; , FA16-RMT-022; Dr. Yousaf Habib, Assistant Profesor [Supervisor]; LHR TP 5189
    The main aim of this thesis is to construct structure preserving numerical methods for Hamiltonian systems. General linear methods are a generalization of RK method and LMSM. G symplectic GLM are suitable for numerical integration of Hamiltonian systems in a similar fashion as that of symplectic RK methods. Order 2 G-symplectic general linear methods were constructed by Butcher for numerically preserving Hamiltonian systems having invariants. After that, Order 4 G symplectic general linear methods were constructed. We have constructed order 6 G-symplectic general linear methods that not only preserve energy of Hamiltonian systems but also show zero parasitism.