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 267 for “"PDES"”.
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Geometric Integrators for Hamiltonian PDEs
… of algorithms for a class of time-dependent PDEs with Hamiltonian structure. These systems possess phase space geometry and constants of the motion that need to be preserved by the integration algorithm to reflect the qualitative features of the system.</p> <p>We exploit the structure of …
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Schauder Regularity Theory for Degenerate and Singular PDEs
L'abstract è presente nell'allegato / the abstract is in the attachment
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Anisotropic variational models and PDEs for inverse imaging problems
… regularisers and partial differential equations (PDEs) for solving inverse imaging problems that arise in a variety of real-world applications. Firstly, we introduce a new anisotropic higher-order total directional variation regulariser. We describe both the theoretical and the numerical details …
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Rational matrix differential operators and integrable systems of PDEs
… of integrability for systems of evolution PDEs ut = F(u), where F lies in a differential algebra of functionals V and u = (U1, ... , ul) depends on one space variable x and time t, is to be part of an infinite hierarchy of generalized symmetries. Recall that V carries a Lie algebra bracket …
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Automatic Construction of Scalable Time-Stepping Methods for Stiff PDES
… time-stepping methods for stiff nonlinear PDEs. However, ensuring this scalability requires analytic computation of frequency-dependent quadrature nodes from the coefficients of the spatial differential operator. This thesis describes how this process can be automated for various classes of …
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Discretization and solution of elliptic PDEs--a transform domain approach
Includes bibliographies.
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TWO RESULTS ON THE GLOBAL DYNAMICS OF PDES ON THE CIRCLE.
… we present an overview about the KAM theory for PDEs. Finally, in Section 3, we introduce some known results about the CMNLS equation, recalling the derivation of the equation and well-posedness results; then we present the example of the smoothing properties of the Benjamin-Ono equation, which …
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Large Deviations and Higher Order Fluctuation Expansions for Conservative Stochastic PDEs
Real fluids contain small thermodynamic fluctuations on small scales. These fluctuations, governed by fluctuation-dissipation relations, introduce what is known as fluctuating hydrodynamics. This thesis is dedicated to investigating large deviations and higher order fluctuation expansions for …
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Localized Method of Approximate Particular Solutions for Solving Fourth-Order PDEs
… conditions. In this paper, we solve fourth-order PDEs directly using the LMAPS. The improvement on the accuracy of this method was as a result of the proposed distribution of boundary conditions to alternating boundary points. And, also the use of suitable shape parameter; calculated using …
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NORMAL FORM METHODS FOR SOME NON LINEAR HAMILTONIAN PDES IN HIGHER DIMENSION
… we prove almost global existence for some PDEs of general interest and we provide a suitable algebraic and geometric framework. Proofs are based on normal form methods.
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Intrinsic Lipschitz graphs in Heisenberg groups and non linear sub-elliptic PDEs
In this thesis we study intrinsic Lipschitz functions. In particular we provide a regular approximation result and a Poincarè type inequality for this class of functions. Moreover we study the obstacle problem in the Heisenberg group and we prove a geometric Poincarè inequality for a class of …
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The swept rule for breaking the latency barrier in time-advancing PDEs
… parallel, explicit time integration of unsteady PDEs. The method is motivated by our observation that network latency, not bandwidth or computing power, often limits how fast PDEs can be solved in parallel. The method is called the swept rule of space-time domain decomposition. Compared to …
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A reduced-basis method for input-output uncertainty propagation in stochastic PDEs
… statistics of linear functionals of stochastic PDEs. Our approach is based on constructing a reduced-basis model for the quantity of interest that enables to solve the full problem very efficiently. In particular, we apply a reduced-basis technique to the Hybridizable Discontinuous Galerkin …
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Wavelets and PDEs : the improvement of computational performance using multi-resolution analysis
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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ERROR BOUNDS OF COMPACT FINITE DIFFERENCE METHODS FOR SOME DISPERSIVE PDEs AND APPLICATIONS
… several highly oscillatory dispersive PDEs, including the nonlinear Klein-Gordon equation in the nonrelativistic regime and the Zakharov system in the subsonic regime. Proofs of error estimate based on energy methods and cut-off techniques are presented, and numerical results are …
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High-Order and Wavelet-Adaptive Immersed Methods for PDEs on Complex Domain Geometries
The development of immersed methods brings a promising solution to the numerical simulation of interface-coupled multi-physics problems, such as multi-phase flows and fluidstructure interactions. This renders necessitates the design of novel high-order and efficient solvers based on immersed …
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Localized Method Of Approximate Particular Solutions For Solving Optimal Control Problems Governed By PDES
… governed by partial differential equations(PDEs).</p> <p>This study proceeds in several steps. First, polynomial basis and radial basis functions are used to globally approximate solutions for the PDEs which have been combined into a single matrix system numerically from the optimality …
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Structure-preserving finite element and finite volume methods for nonlinear and time-dependent PDEs
In this thesis, we present significant advancements in the structure-preserving discretization of partial differential equations, developing and analyzing novel numerical schemes with applications ranging from compressible fluid dynamics to magnetohydrodynamics (MHD) in tokamak geometries for …
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Adaptive Finite Elements for Systems of PDEs: Software Concepts, Multi-level Techniques and Parallelization
In the recent past, the field of scientific computing has become of more and more importance for scientific as well as for industrial research, playing a comparable role as experiment and theory do. This success of computational methods in scientific and engineering research is next to the enormous …
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