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 20 of 21 for “"Euler method"”.
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Applying the Newmark Method to the Discontinuous Deformation Analysis
… analysis (DDA) is a newly developed simulation method for discontinuous systems. It was designed to simulate systems with arbitrary shaped blocks with high efficiency while providing accurate solutions for energy dissipation. But DDA usually exhibits damping effects that are inconsistent with …
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Reliability of copper interconnects in integrated circuits
… by Korhonen et al. By applying an implicit method (Backward Euler method), the calculation time was significantly reduced, and stability increased, compared to previous tools based on explicit methods (Forward Euler method).
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Time intergration schemes for rate dependent elasto-plastic constitutive equations
… of an investigation into the commonly used methods of performing material update calculations within the framework of the Finite Element Method, as well as an investigation into possible new methods of performing the material update procedures within the context of a rate dependent plastic …
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Stochastic Wave Equations With Cubic Nonlinearities in Two Dimensions
… membranes. Finally, I studied numerical methods for the Fourier coecients. I focussed on the linear-implicit Euler method and the linear-implicit mid-point method. Their schemes have explicit representations. Eventually, I investigated their mean consistency and mean square …
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A computer simulation study of a single rigid body dynamic model for biped postural control.
… complexity of the system increases, the Newton-Euler method was chosen to derive system differential equations. Linear state feedback was used for postural control. As part of this research, a previous realistic looking human model is further developed. The major conclusion of this thesis is …
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The role of adaptivity in a numerical method for the Cox-Ingersoll-Ross model
… the effectiveness of an adaptive explicit Euler method for the approximate solution of the Cox-Ingersoll-Ross model. This relies on a class of path-bounded timestepping strategies which work by reducing the stepsize as solutions approach a neighbourhood of zero. The method is hybrid in the …
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Modeling, Control, and Hardware Development of a Thrust-Vector Coaxial UAV
… and controller development. Using the Newton-Euler method, a dynamic model for the UAV is derived to gain in-depth insights into its fundamental flight characteristics. A simple thrust model is formulated and modified by comparing it with data obtained from vehicle testing. The feasibility of …
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Two-dimensional simulation of quantum well lasers including energy transport
… gives a satisfactory convergence for the Newton method is also described. The boundary conditions for the energy flow equation are discussed. For the spectral analysis of quantum-well lasers, we have used the photon rate equation for each Fabry-Perot mode. For the optical intensity pattern, we …
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Familias paramétricas de procesos iterativos de alto orden de convergencia
… with at least cubic convergence: Chebyshev's method, the Super-Halley method, the Halley method or the Euler method, as well as other families of iterations. We gradually relax the hypotheses of semilocal convergence that are usually used and obtain the domains where solutions are located and …
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Novel fitted schemes based on mimetic finite difference method for options pricing
Numerical methods have been increasingly important for finding approximate solutions of partial differential equations (PDEs) describing financial models since only a few of them have analytical solutions. Indeed, in the pricing of derivative securities such as European options, the underlying PDE, …
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Structural dynamics modeling of helicopter blades for computational aeroelasticity
… In the structural model, second-order backward Euler method is used to discretize the nonlinear intrinsic formulation for the dynamics of rotating blades in time. Newton method is used to solve the resulting nonlinear algebraic equations. The solution describes the displacement field, stress and …
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On numerical methods for diffusion of electric fields in type-II superconductors
… The necessity for accurate numerical methods in this research domain is increasing along with the growing number and importance of industrial applications of type-II superconductors. In Chapter 1, the basic information on superconductors is shortly summarized. The mathematical model is …
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Voltage and stability analysis of distribution networks with non-conventional energy sources
… conducted using explicit numerical integration (Euler method) and an integration time step of 0.002 second. Power System Toolbox was used for analysis.The multimachine power system models used in this thesis are generated in MATLAB code. The load flow is performed on the multimachine power system …
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Intelligent control and path planning for unmanned aerial vehicles
… aerial vehicles is refined by using the Newton-Euler method, incorporating vehicle dynamics to lay the foundation for displaying the responses of UAVs in interactions with the flight environment. This is important for the emerging technology of “digital twin” for UAV applications. Leveraging …
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Mathematical modelling of complex dynamics
… have been derived from the B.A.C. van Vlimmeren method and their isotropy measure has been determined optimally better than other exiting 2D 9–point discrete Laplacian operators. Overall, the stencils in 9–point family Laplacians in 2D and the 19–point stencil operators in 3D have been found to …
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A holistic multi-scale mathematical model of the murine extracellular fluid systems and study of the brain interactive dynamics
… solved through a high-order finite volume ADER method and through an implicit Euler method. The computational results are validated against literature values and magnetic resonance flow measurements. Furthermore, the model is validated against {\em in-vivo} intracranial pressure waveforms …
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Modeling process dynamics in membrane-electrolyte-assemblies of chloralkali electrolyzers considering steric and hydration effects
… equilibrium system. The Galerkin finite element method is utilized to discretize the spatial domain, while the time domain is discretized by using the unconditionally stable backward Euler method. The ramp input representing the primary balancing scenario of the demand response is introduced as …
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Structure-preserving machine learning for inverse problems
… to use multiple instances of data to inform a method that can be used on similar data. In this dissertation we investigate ways in which favourable properties of the variational regularisation approach can be combined with a data-driven approach to solving inverse problems. In the first chapter …
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Modelling of liquid droplet dynamics in a high DC magnetic field
… formulation of the pseudo-spectral collocation method discretised in a spherical coordinate system with the implicit Euler method used to advance the solution in time. A coordinate transformation method is used to ensure the direct surface tracking required for modelling the surface shape …
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Speeding up high-order algorithms in computational fluid and kinetic dynamics: based on characteristics tracing and low-rank structures
… challenges. First, classical discretization methods suffer from the curse of dimensionality, that is, the computational cost grows exponentially as the number of dimensions increases. Second, shock formations and sharp gradient structures that develop in certain PDEs of interest are …
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