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 93 for “"Periodic boundary conditions"”.
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Coupled non-linear diffusion under periodic boundary conditions
… assists in the management of soil in adverse conditions. Equally, the governing equations contain features central to the concerns of contemporary mathematics.<br/><br/>The controlling equations are derived from basic physical principles. The resulting simultaneous, non-linear partial …
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Cooperative Behavior in Driven Lattice Systems with Shifted Periodic Boundary Conditions
… of driven stochastic lattice systems with non-periodic boundary conditions. The systems consist of particle and holes which move by exchanges of nearest neighbor particle-hole pairs. These exchanges are controlled by the energetics associated with an internal Hamiltonian, an external drive and …
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Linear scaling density functional theory with Gaussian orbitals and periodic boundary conditions
… method with Gaussian orbitals for systems with periodic boundary conditions (PBC). When solving iterative self-consistent field (SCF) equations of density functional theory (DFT), the most computationally demanding tasks are Kohn-Sham (or Fock) matrix formation and the density matrix update …
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Implementing a Lattice Formulation of the Schwinger Modelwith Periodic Boundary Conditions Using Tensor Networks
… network formulation of the Schwinger model with periodic boundary conditions. The primary challenge is to enforce the local constraints imposed by Gauss's Law. I do this by combining global conservation of a specially defined quantum number with the local optimization steps used in the density …
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Vague convergence of spectral shift functions for periodic restrictions of one-dimensional Schrodinger operators
… on intervals of the form $(-\ell,\ell)$ with periodic boundary conditions to the full-line spectral shift function in the infinite volume limit $\ell\to \infty$. The approach employed relies on the use of a Krein-type resolvent identity to relate the resolvent of the operator with periodic …
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Development of a two-dimensional model of blood microcirculation flows
… Krogh cylinder model subjected to axially periodic boundary conditions. This model formulation allows for the use of the streamfunction-vorticity formulation of the Navier-Stokes equation, which offers simplification to boundary conditions and also allows for the use of a non-uniform, …
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Computation of electromagnetic fields in assemblages of biological cells using a modified finite difference time domain scheme. Computational electromagnetic methods using quasi-static approximate version of FDTD, modified Berenger absorbing boundary and Floquet periodic boundary conditions to investigate the phenomena in the interaction between EM fields and biological systems.
… is lossy material, a modified Berenger absorbing boundary condition is used to truncate the computation grid. Linear assemblages of cells are investigated and then Floquet periodic boundary conditions are imposed to imitate the effect of periodic replication of the assemblages. Thus, the analysis …
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Theoretical and Simulation Studies of a Driven Diffusive System
… we study a system on a square lattice with periodic boundary conditions (PBC) along both principal lattice axes, while the drive acts along only one of these axes. For such systems, we analyze the full distribution of structure factors. Next, we investigate the effects of imposing other …
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A Multigrid Homotopy Method For Computing Eigenfunctions of Differential Operators With Two-Dimensional Heterogeneity
… with a piecewise constant coefficient and periodic boundary conditions. The piecewise constant coefficient is created by the discontinuity of the diffusivity coefficient across the interfaces between two or more heterogeneous materials. Our method involves the combination of the well-known …
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Topological characterization of nanoporous gold during coarsening
… It was found that an algorithm that accounts for periodic boundary conditions is required for an accurate genus calculation.
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A WENO finite difference scheme for a new class of Hamilton-Jacobi equations in electroelastostatics
… type of Hamilton-Jacobi equations involving non-periodic boundary conditions in the ""space"" variables. Following its derivation, the proposed WENO scheme is tested for several cases involving one and two ""space"" variables for which there are analytical solutions available for arbitrarily …
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Theoretical study of interacting low dimensional electron systems
… many-body Hamiltonian for finite clusters with periodic boundary conditions (PBC's) is solved exactly. We first apply this technique to an extended one-dimensional chain and a two-dimensional square-lattice Hubbard model. We then construct a two-dimensional overlayer/substrate Hubbard model with …
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ERROR BOUNDS OF COMPACT FINITE DIFFERENCE METHODS FOR SOME DISPERSIVE PDEs AND APPLICATIONS
… discretize Laplace’s equation with nonstandard boundary conditions for preparing the periodic initial data in simulations of quantized vortex interactions under the two-dimensional nonlinear Schrödinger equation with periodic boundary conditions.
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Optimization Methods for Dynamic Mode Decomposition of Nonlinear Partial Differential Equations
… (DMD) applied to nonlinear PDEs with periodic boundary conditions. It provides one study of an existing optimization framework for the DMD method known as the Optimized DMD and provides another study of a newly proposed optimization framework for the DMD method called the Split DMD.
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Monte Carlo analysis of non-equilibrium steady states and relaxation kinetics in driven lattice gases
… lattice gases, with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo simulations of larger system sizes than previous studies. In the one-dimensional asymmetric exclusion process on a ring with half the lattice sites occupied, we …
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Hamiltonian bifurcations in Schrodinger trimers
… discrete NLS in the nonlinear regime with periodic boundary conditions is investigated by reducing the degree of freedom from three down to two. The families of standing waves are enumerated and normal forms are used to describe several families of relative periodic orbits whose topologies …
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Studies in the Wigner-Poisson and Schroedinger-Poisson Systems
… of existence of eigenfunctions for (SP) with periodic boundary conditions, and an examination of the stationary Wigner equations with inflow" boundary conditions. Finally, a proposed numerical scheme for the stationary (SP) system with Boltzmann distribution functions is shown along with its …
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Dense granular flow in rotating drums: a computational investigation of constitutive equations
… are investigated. Simulations of a drum, with periodic boundary conditions, rotating at varying speeds are performed. From the resulting data, kinematic and kinetic fields are extracted and used to investigate the validity of constitutive relations proposed in the literature. Two key …
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Finite size effects in the thermodynamics of the free scalar field and the interacting SU(3) plasma
… when the field is subjected to Dirichlet and periodic boundary conditions; we also give a brief review of the thermodynamic properties of the free scalar field on discretized Euclidian space-time lattices. In the second part of the thesis, we discuss briefly the thermodynamic properties of the …
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