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Browsing by Author "Muir, Paul"
Now showing items 1-13 of 13
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(Halifax, N.S. : Saint Mary's University, 2014)BVP_SOLVER II [Boisvert, Muir, Spiteri, 2013] is an efficient software package for the numerical solution of systems of boundary value ordinary differential equations. It employs discrete mono-implicit Runge-Kutta (MIRK) ...
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(Halifax, N.S. : Saint Mary's University, 2012)In this thesis, we consider B-spline collocation algorithms for solving two-dimensional in space, time-dependent parabolic partial differential equations (PDEs), defined over a rectangular region. We propose two ways to ...
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(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 ...
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(Halifax, N.S. : Saint Mary's University, 2019)Rapid advances in computing power have given computational analysis and simulation a prominent role in modern scientific exploration. Differential equations are often used to model complex scientific phenomena. In practice, ...
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(Halifax, N.S. : Saint Mary's University, 2017)Differential equations are involved in many felds. Often these cannot be solved exactly, so they must be approximated. To do this, we derive a fourth order finite difference scheme for non-uniform meshes. This is paired ...
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(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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(Halifax, N.S. : Saint Mary's University, 2009)BACOL is an efficient software package for solving systems of second order parabolic PDEs in one space dimension. A significant feature of the package is that it employs adaptive error control in both time and space. A ...
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(Halifax, N.S. : Saint Mary's University, 2016)Fast matrix multiplication algorithms such as the Strassen algorithm allow for the multiplication of matrices with fewer multiplications than would normally be needed, thus making the calculations more efficient. We introduce ...
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(Halifax, N.S. : Saint Mary's University, 2005)Level set methods are powerful numerical techniques for tracking the motion of an interface. Many applications arise in such areas as fluid flow simulations, medical science, and image processing. In fluid flow simulations, ...
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(Halifax, N.S. : Saint Mary's University, 2004)MIRKDC [Enright, Muir, 1996] is a software package for the numerical solution of systems of first order, nonlinear, boundary value ordinary differential equations (ODEs), with separated boundary conditions. It employs ...
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(Halifax, N.S. : Saint Mary's University, 2021)The investigation of many real-world applications involves mathematical models that consist of systems of ordinary differential equations (ODEs). This thesis mainly focuses on the ODEs with the initial values known as ...
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(Halifax, N.S. : Saint Mary's University, 2020)Computational Science is now a central component of all scientific investigation, along with the traditional modes of experimental and theoretical investigation. Computational Science involves the development and solution ...
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(Halifax, N.S. : Saint Mary's University, 2014)Mathematical modelling is an important part of the finance industry. These models can be very complex and one often needs to use numerical methods and numerical software packages to get approximate solutions to these models. ...
Now showing items 1-13 of 13