Selected Topics in Partial Differential Equations.

Differential Dynamic Logics: Automated Theorem Proving for Hybrid Systems. PhD Thesis, Department of Computing Science, University of Oldenburg, 2008. ACM Doctoral Dissertation Honorable Mention Award in 2009. Extended version appeared as book Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics, Springer, 2010.

Doctor of Philosophy (PhD) in Mathematics.

Fuzzy differential equations thesis proposal The educational staff the following have indicated their readiness to supervise thesis research. In some instances specific topics are listed, while in some cases an over-all market is indicated.Partial differential equations with random coefficients (random PDEs) is a very developed and popular field. The variety of applications, especially in biology, motivate us to consider the random PDEs on curved moving domains. We introduce and analyse the advection-diffusion equations with random coefficients on moving hypersurfaces.Nonlinear singular partial differential equations arise naturally when studying models from such areas as Riemannian geometry, applied probability, mathematical physics and biology. The purpose of this thesis is to develop analytical methods to investigate a large class of nonlinear elliptic PDEs underlying models from physical and biological.


Surface partial differential equations model several natural phenomena; for example in uid mechanics, cell biology and material science. The domain of the equations can often have complex and changing morphology. This implies analytic techniques are unavailable, hence numerical methods are required. The aim of this thesis is to design and analyse three methods for solving different problems.In this thesis I extend the theory of integrable partial difference equations (PAEs) and reductions of these systems under scaling symmetries. The main approach used is the direct linearization method which was developed previously and forms a powerful tool for dealing with both continuous and discrete equations. This approach is further developed and applied to several important classes of.

Differential Equations Phd Thesis

A mechanical algorithm for constructing an isomorphism image (a Lie algebra with the same structural constants) of the Lie algebra of symmetry of a differential equations without solving maximum symmetry of the equations is given based on differential form Wus.

Differential Equations Phd Thesis

This thesis is devoted to the comprehensive investigation of the application of Lie groups in the study of partial differential equations. The current thesis consists of four separate main chapters.

Differential Equations Phd Thesis

Mathematics MSc dissertations. 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.

Differential Equations Phd Thesis

The material in this thesis is the result of a year's experience in the solution of problems on the Caltech Electric Analog Computer. Although much work has been done elsewhere, the solution of partial differential equations is a relatively new field for the Caltech Computer. It is natural that such an undertaking should initiate points of view and techniques that differ from those of other.

Differential Equations Phd Thesis

Many problems arise from various real life applications may lead to mathematical models which can be expressed as initial value problems (IVPs) and boundary value problems (BVPs) of first and second ordinary differential equations (ODEs).These problems might not have analytical solutions, thus numerical methods are needed inapproximating the solutions.

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Differential Equations Phd Thesis

The work in this thesis considers rational solutions of nonlinear partial differential equations formed from polynomials. The main work will be on the Boussinesq equation and the Kadomtsev-Petviashvili-I (KP-I) equation, the nonlinear Schroedinger equation will also be included for completeness. Rational solutions of the Boussinesq equation model rogue wave behaviour.

Differential Equations Phd Thesis

Mathematics at IST Austria is an open, curious community, active in research that is inspired by both purely mathematical concepts and applications in physics, computer science, and other fields. The groups on campus have strengths in a variety of areas, including discrete and computational topology and geometry (.

Differential Equations Phd Thesis

PhD thesis, USM. Physics: Albert Einstein's Theory of Relativity Simplifying the Metaphysics of Einstein's Special and General Relativity. Ghaderi, Zahed (2014) Tourism Crisis And Disaster Management And Organizational Learning In Malaysia's thesis on partial differential equations Tourism Industry. 3859. 1243.

Differential Equations Phd Thesis

Mathematics thesis and dissertation collection. Browse By. By Issue Date Authors Titles Subjects Publication Type Sponsor.. Nonlinear stochastic partial differential equations (SPDEs) are used to model wide variety of phenomena in physics, engineering, finance and economics. In many such models the equations exhibit super-linear growth.

Differential Equations Phd Thesis

I have served on PhD Admissions committees twice now at a top Economics department, and I can tell you what we look for: 1. You have likely taken the following courses: Calculus with many variables, Linear Algebra, Differential Equations, and Real.

How to Use Mathematical Equations in Your Thesis - Current.

Differential Equations Phd Thesis

The study of nonlinear phenomena has been an important endeavor for scientists. Some nonlinear phenomena can be modeled mathematically as nonlinear partial differential equations (PDEs). There are no analytical solutions for most nonlinear PDEs. Therefore, an appropriate numerical method must be used in order to compute an adequate approximate solution.

Differential Equations Phd Thesis

PhD thesis, Dublin City University. McGuinness, Ed (2012) Role of delay differential equations in modelling low level HIV viral load. PhD thesis, Dublin City University. McCarthy, Michael J. (2011) Explosions and unbounded growth in nonlinear delay differential equations: Numerical and asymptotic analysis. PhD thesis, Dublin City University.

Differential Equations Phd Thesis

Xu, Lina (2019) Simulation methods for stochastic differential equations in finance. PhD thesis, Queensland University of Technology. This thesis resolves a number of econometric problems relating to the use of stochastic differential equations based on computer-intensive simulation methods. Stochastic differential equations play an important.

Differential Equations Phd Thesis

A central objective of current systems biology research is explaining the interactions amongst components in biopathways. A standard approach is to view a biopathway as a network of biochemical reactions, which is modelled as a system of ordinary differential equations (ODEs). Conventional inference methods typically rely on searching the space of parameter values, and at each candidate.

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