Browsing Theses & Dissertations by Subject "Differential equations -- Numerical solutions"

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Efficient continuous Runge-Kutta methods for asymptotically correct defect control

Drfoun, Hanan (Halifax, N.S. : Saint Mary's University, 2017)

Mono-Implicit Runge-Kutta (MIRK) methods and continuous MIRK (CMIRK) methods, are used in the numerical solution of boundary value ordinary differential equations (ODEs). One way of assessing the quality of the numerical ...
Generalized mono-implicit Runge-Kutta methods for stiff ordinary differential equations

Dow, Fatima (Halifax, N.S. : Saint Mary's University, 2017)

Ordinary differential equations (ODEs) arise in many applications. Typically these ODEs are sufficiently complicated that they must be solved using numerical methods. One of the well-known classes of numerical methods for ...

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