Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 18 of 18 for “"Equations differential"”.
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El método de Newton en espacios de Banach
… wide range of problems, such as real or complex equations, nonlinear systems of equations, differential or integral equations. Firstly we study Newton's method in terms of the linear operator LFx=F' x-1F ''x F 'x1 Fx. In this sense, new convergence results are given in terms of this operator. …
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Elimination for Systems of Algebraic Differential Equations
… develop new upper bounds for several effective differential elimination techniques for systems of algebraic ordinary and partial differential equations. Differential elimination, also known as decoupling, is the process of eliminating a fixed subset of unknown functions from a system of …
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Estudio de la dinámica del método de Newton amortiguado
… systems and the numerical solution of nonlinear equations by iterative processes. Specifically, we studied the iterative method known as damped Newton method, which is a modification of the classical Newton method. This method generates a sequence depending on a damping parameter, which in …
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Development and applications of new peridynamic models
… based on continuum mechanics which utilizes differential equations. Differential equations, however, become troublesome when damage takes place. Instead of differential equations, this study presents a theory, so-called peridynamics, based on integral equations. Similar to molecular dynamics, …
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Biological Circuit Design via BioCAD Tools
… the gene protein reaction mappings, ordinary differential equations, differential algebraic equations and partial differential equations. In this thesis will be reported several experiments applied on Synthetic Biology, such as the design of the novel 1,4-butanediol synthetic pathway.
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Aplicaciones de los espacios hilbert-banach
… (1862-1943) on the equivalence of integral equations and infinite systems of algebraic equations with infinitely many unknowns. This work, motivated by the works of I. Fredholm, appeared in the book: Grundzuge einerallgemeinen Theorie der linear en Integral gleichungen in 1912. The purpose …
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Chemically driven soft bioinspired systems and the variational formulation of physics-informed neural networks
… framework based on neural networks to solve differential equations. Differential equations are essential in developing a mathematical description of the bioinspired systems that we have studied in this work. In the conventional formulation, physics-informed neural networks (PINN) solve …
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The computation and semi-analytic theory of standing deep water waves
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2027-05-01
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Nonlinear fluid dynamics in complex geometries
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-09-01 without embargo terms
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Local Regularity of the Complex Monge-Ampere Equation
In this thesis, we present a self-contained account of the current development in the local regularity theory of the complex Monge-Ampere equation through the modern fully-nonlinear PDE point of view. We have apply the modern elliptic techniques to establish new local regularity results. These …
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Einstein constraints gluing and toroidal cusps
… initial data sets to the vacuum Einstein Field Equations, obtaining new initial data on the joined manifold. The new data set is arbitrarily close to the original data set outside of the gluing region, controlled by the length of the neck joining the manifolds. This approach is here summarized …
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Applications and numerical investigation of differential-algebraic equations
Differential-algebraic equations (DAEs) result in many areas of science and engineer- ing. In this thesis, numerical methods for solving DAEs are compared for two prob- lems, energy-economic models and traffic flow models. An energy-economic model is presented based on the Hubbert model of oil …
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Výpočet algebraických rovnic
Práce se zabývá řešením soustav lineárních algebraických rovnic metodou převodu na soustavu rovnic diferenciálních, ukáže ale i jiné známější metody. V teoretické části popisuje matematické operace s maticemi. V práci jsou pomocí programů Matlab a TKSL vyřešeny příklady a porovnány jejich hodnoty …
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Population models
… of biological situations through the study of differential equations. It will first explore the interactions of the lynx and hare populations in Canada based on data retrieved by the Hudson Bay Company. The purpose of this study is to find a suitable mathematical model, namely that of a …
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Positivity preserving solutions of partial integro-differential equations
Differential equations are one of the primary tools for modeling phenomena in chemical engineering. While solution methods for many of these types of problems are well-established, there is growing class of problems that lack standard solution methods: partial integro-differential equations. The …
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Spacetime meshing of stratified spaces for spacetime discontinuous Galerkin methods in arbitrary spatial dimensions
We introduce the spacetime discontinuous Galerkin method and motivate the need for supporting spacetime meshing on meshes comprised of multiple manifolds. We first discuss preliminary concepts behind simplices, simplicial complexes, and the generalization to oriented simplicies. Using these ideas, …
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The Fokker-Planck and Related Equations in Theoretical Population Dynamics
… growth of a single species is modeled by a differential equation with initial condition(s) so that the number of organisms in the population is derived using some mechanism of growth, i.e. a growth rate function. However, such deterministic models are often highly unrealistic in population …