Thesis Mathematical Modeling

Thesis Mathematical Modeling-55
Singh - A comparison of numerical schemes for pricing bond options.

Garvie - A comparison of cell-mapping techniques for basins of attraction.

Gnandi - Alternating direction implicit method applied to stochastic problems in derivative finance. Hudson - Numerical techniques for conservation laws with source terms..

Hawkes - Mesh Movement Algorithms for Non-linear Fisher-type Equations P. Parry - Construction of Symplectic Runge-Kutta Methods and their Potential for Molecular Dynamics Application. Swain - Numerical Investigations of Vorticity Preserving Lax-Wendroff Type Schemes.

Jelfs - Conjugate Gradients with Rational and Floating Point Arithmetic M. Fletcher - Numerical Approximations to Bouyancy Advection in the Eddy Model. Fulcher - The Finite Element Approximation of the Natural Frequencies of a Circular Drum. Green - A Financial Model and Application of the Semi-Lagrangian Time-Stepping Scheme.

Maisey - Vorticity Preserving Lax-Wendroff Type Schemes C. Radcliffe - Positive Schemes for the Linear Advection Equation D. Man - Galerkin Methods for Coupled Integral Equations. Laird - A New Method for Solving the 2-D Advection Equation. Mc Dowall - Finite Differences Applied to Joint Boundary Layer and Eigenvalue Problems. Shahrill - Explicit Schemes for Finding Soliton Solutions of the Korteweg-de Vries Equation. Weston - A Marker and Cell Solution of the Incompressible Navier-Stokes Equations for Free Surface Flow. Ariffin - Grid Equidistribution via Various Algorithmic Approaches.

Brown - Two Data Assimilation Techniques for Linear Multi-input Systems. Christodoulou - Finite Differences Applied to Stochastic Problems in Pricing Derivatives. Freshwater - The Muskingum-Cunge Method for Flood Routing. Training of mathematical modeling shows the students how to apply mathematics in real life, which is also a motivation for learning the subject. Materials of 10 Interregional scientific-practical conf. of teachers of innovative educational institutions and universities. Eurasia Journal of Mathematics, Science & Technology Education, 10(5), 455-469. The purpose of the research is to identify elements of mathematical modeling that can and should be appropriately formed at the secondary school. Intersubject communications and applied orientation of the school course of mathematics in classes of biological profile (Doctorate Dissertation). Sarah Grintzevitch - Heat waves: their climatic and biometeorological nature in two north american reigions Helen Mansley - Dense water overflows and cascades Polly Smith - Application of conservation laws with source terms to the shallow water equations and crowd dynamics Peter Taylor - Application of parameter estimation to meteorology and food processing Kate Alexander - Investigation of a new macroscopic model of traffic flow Luke Bennetts - An application of the re-iterated Galerkin approximation in 2-dimensions Peter Spence - The Position of the free boundary formed between an expanding plasma and an electric field in differing geometries Daniel Vollmer - Adaptive mesh refinement using subdivision of unstructured elements for conservation laws Clare Harris - The Valuation of weather derivatives using partial differential equations Sarah Kew - Development of a 3D fractal cirrus model and its use in investigating the impact of cirrus inhomogeneity on radiation Emma Quaile - Rotation dominated flow over a ridge Jemma Shipton - Gravity waves in multilayer systems Winnie Chung - A Spectral Method for the Black Scholes Equations Penny Marno - Crowded Macroscopic and Microscopic Models for Pedestrian Dynamics Malachy Mc Connell - On the numerical solution of selected integrable non-linear wave equations Stavri Mylona - An Application of Kepler's Problem to Formation Flying using the Störmer-Verlet Method Sarah Brodie - Numerical Modelling of Stratospheric Temperature Changes and their Possible Causes Matt Sayer - Upper Ocean Variability in the Equatorial Pacific on Diurnal to Intra-seasonal Timescales Laura Stanton - Linearising the Kepler problem for 4D-var Data Assimilation R. Brad - An Implementation of the Box Scheme for use on Transcritical Problems D. Garwood - A Comparison of two approaches for the Approximating of 2-D Scattered Data, with Applications to Geological Modelling R. Smith - The Evolution of Travelling Waves in a Simple Model for an Ionic Autocatalytic System P. The Department of Mathematics and Statistics was host until 2014 to the MSc course in the Mathematics of Scientific and Industrial Computation (previously known as Numerical Solution of Differential Equations) and the MSc course in Mathematical and Numerical Modelling of the Atmosphere and Oceans. Smith - Minimising Time-Stepping Errors in Numerical Models of the Atmosphere and Ocean Amandeep Virdi - The Influence of the Agulhas Leakage on the Overturning Circulation from Momentum Balances Charlotta Howarth - Integral Equation Formulations for Scattering Problems David Fairbairn - Comparison of the Ensemble Transform Kalman Filter with the Ensemble Transform Kalman Smoother Mark Payne - Mathematical Modelling of Platelet Signalling Pathways Mesh Generation and its application to Finite Element Methods Mary Pham - Mesh Generation and its application to Finite Element Methods Sarah Cole - Blow-up in a Chemotaxis Model Using a Moving Mesh Method Danila Volpi - Estimation of parameters in traffic flow models using data assimilation Dale Partridge - Analysis and Computation of a Simple Glacier Model using Moving Grids David Mac Leod - Evaluation of precipitation over the Middle East and Mediterranean in high resolution climate models Joanne Pocock - Ensemble Data Assimilation: How Many Members Do We Need? The leading method of the research is the analysis of the structure of the mathematical modeling process and the development of a system of tasks aimed to form training activities that are adequate to the identified elements. The authors offer to use the system of changed tasks contained in school mathematics textbooks. Burton - Re-iterative methods for integral equations. Hobbs - A moving finite element approach to semiconductor process modelling in 1-D..

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