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 374 for “"PDE"”.
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Nonlinear PDE and Optical Surfaces Design
We introduce two models to design near field reflectors in R^3 that solve an inverse problem in radiometry, taking into account the inverse square law of irradiance. The problem leads to a Monge-Ampere type inequality. The surfaces in the first model are strictly convex and require to be far from …
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Observation and control of PDE with disturbances
… is to consider partial differential equations (PDE) under the effect of external unknown disturbances. We consider generalized forms of two popular parabolic and hyperbolic infinite dimensional dynamics, the heat and wave equations. Sliding-mode control is used to achieve the control goals, …
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Statistical inference and computation in elliptic PDE models
Partial differential equations (PDE) are ubiquitous in describing real-world phenomena. In many statistical models, PDE are used to encode complex relationships between unknown quantities and the observed data. We investigate statistical and computational questions arising in such models, adopting …
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New PDE models for imaging problems and applications
… methods and Partial Differential Equations (PDEs) have been extensively employed for the mathematical formulation of a myriad of problems describing physical phenomena such as heat propagation, thermodynamic transformations and many more. In imaging, PDEs following variational principles are …
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Sparse Learning of Nonlinear PDE Dynamics using Kalman Smoothing
… in SINDy to partial differential equations (PDEs), enabling effective denoising and sparse identification of a range of PDE systems.
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PDE models of front propagation in macroscopic physical systems
Submitted by Jenny Wong-Welch (wongwel2@illinois.edu) on 2011-11-10T23:52:10Z No. of bitstreams: 1 1993_paquette.pdf: 5940635 bytes, checksum: e52b7059425c22fbe1ca5dbc1471e76d (MD5)
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Drift Correcting Mulitphysics Informed Neural Network Coupled PDE Solver
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-05-01
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One-dimensional coupled ODE-PDE models for fungal growth
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms
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One-dimensional coupled ODE-PDE models for fungal growth
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms
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Anisotropic nonlinear PDE models and dynamical systems in biology
… nonlinear partial differential equations (PDEs) and dynamical systems in biology. It is divided into two parts, motivated by the simulation of fingerprint patterns and the modelling of biological transport networks. The first part of this thesis deals with a class of interacting particle …
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A certified reduced basis approach to PDE-constrained optimization
… constrained by partial differential equations (PDEs) appear in many science and engineering applications. The PDE usually describes the underlying system or component behavior, while the parameters identify a particular configurations of the component, such as boundary and initial conditions, …
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Parallel dynamic load-balancing for adaptive distributive memory PDE solvers
… solution of partial differential equations (PDEs). We are interested in parallel solutions based upon either finite element or finite volume schemes on unstructured grids and we assume that geometric parallelism is used, whereby the finite element or finite volume grids are partitioned across …
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Efficient simulation of challenging PDE problems on CPU and GPU clusters
… simulations of partial differential equations (PDEs) can be developed and which aspects have to be considered in order to obtain the best possible performance. For this purpose, the target platforms range from high-performance workstations to small clusters and up to supercomputers. In …
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Incremental proper orthogonal decomposition for PDE simulation data: Algorithms and analysis
… simulation methods for time dependent PDEs. We introduce an incremental SVD algorithm with respect to a weighted inner product to compute the proper orthogonal decomposition (POD). The algorithm is applicable to data generated by many numerical methods for PDEs, including finite element …
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Self-similar singularity formation and wellposedness theory for compressible fluids and dispersive PDE
… wellposedness of fluid equations and dispersive PDE. Regarding singularity formation, we construct radially symmetric smooth selfsimilar profiles for the compressible Euler equations which exhibit an implosion type singularity in finite time. This will be the first part of the thesis. The second …
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Numerical Solutions to PDE Representations of Derivatives with Bilateral Counterparty Risk and Funding Costs
… this paper is to present numerical solutions to PDE representations for derivatives pricing including bilateral credit valuation adjustments and funding costs valuation adjustment as presented in Burgard and Kjaer (2011). In particular, we use Crank-Nicolson finite-difference scheme to solve …
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MODELLING AND NUMERICAL STUDY OF MARBLE SULPHATION IN CULTURALE HERITAGE: A RANDOM PDE-ODE SYSTEM
… partial and ordinary differential equations (PDE-ODE) system, already present in the literature and describing the penetration of sulphur dioxide through the pores of a calcium carbonate-based surface which reacts with a consequent formation of gypsum, a source of randomness has been …
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Modulation of cyclic adenosine monophosphate (cAMP) signalling and its therapeutic potential: pharmacological characterisation of PDE inhibitors
… of cAMP level through phosphodiesterases (PDEs) inhibition, adenylyl cyclase (AC) activation, as well as modulation via β-adrenoceptor (β-AR) and G proteins. A series of compounds were evaluated applying various assaying techniques and pharmacological tools using cAMP accumulation assays, …
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A Coupled PDE Model for the Morphological Instability of a Multi-Component Thin Film During Surface Electromigration
… thesis a model involving two coupled nonlinear PDEs is developed to study instability of a two-component metal film due to horizontal electric field and in a high-temperature environment similar to operational conditions of integrated circuits. The proposed model assumes the anisotropies of the …
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