The aim this thesis is to analyse the narrative structure of the novel, The Portrait of A Lady, with the aim of revealing how meaning is made and to show how certain elements are transferred to the film version and the consequent changes in meaning and emphasis. The structural analysis of The Portrait will chiefly rely on Shlomith Rimmon- Kenan&rsquo / s scheme she draws in her book Narrative Fiction. The functional analysis to show the consequent changes in meaning and emphasis, on the other hand, will rely on Roland Barthes&rsquo / s theory of functions he discusses in his article &ldquo / Structural Analysis of Narratives&rdquo / . In order to explore the narrative structure of The Portrait of A Lady, this thesis will examine story, characterization, time and focalization and demonstrate the techniques Henry James uses in narration. In the functional analysis of the novel, on the other hand, the functions of the units discussed in the story and the characterization will be compared to the functions of the same units that are transferred to the adaptation of the novel to reveal how the meaning and emphasis of the novel changes.

This report analyzes and compares Barycentric Lagrange interpolation to Cardinal Trigonometric interpolation, with regards to computational cost and accuracy. It also covers some edge case scenarios which may interfere with the accuracy and stability. Later on, these two interpolation methods are applied on parameterized curves and surfaces, to compare and contrast differences with the standard one dimensional scenarios. The report also contains analysis of and comparison with regular Lagrange interpolation. The report concludes that Barycentric Lagrange interpolation is generally speaking more computationally efficient, and that the inherent need for periodicity makes Cardinal Trigonometric interpolation less reliable in comparison. On the other hand, Barycentric Lagrange interpolation is difficult to implement for higher dimensional problems, and also relies heavily on Chebyshev spaced nodes, something which can cause issues in a practical application of interpolation. Given ideal scenarios, Cardinal Trigonometric interpolation is more accurate, and for periodic functions generally speaking better than Barycentric Lagrange interpolation. Regular Lagrange interpolation is found to be unviable due to the comparatively big computational cost.