Dissertations / Theses on the topic 'PDE'
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Ugail, Hassan. "On the spine of a PDE surface." Springer, 2003. http://hdl.handle.net/10454/2687.
Full textThe spine of an object is an entity that can characterise the object¿s topology and describes the object by a lower dimension. It has an intuitive appeal for supporting geometric modelling operations. The aim of this paper is to show how a spine for a PDE surface can be generated. For the purpose of the work presented here an analytic solution form for the chosen PDE is utilised. It is shown that the spine of the PDE surface is then computed as a by-product of this analytic solution. This paper also discusses how the of a PDE surface can be used to manipulate the shape. The solution technique adopted here caters for periodic surfaces with general boundary conditions allowing the possibility of the spine based shape manipulation for a wide variety of free-form PDE surface shapes.
Öhrnell, Carl. "Lie Groups and PDE." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-420706.
Full textTsui, Ka Cheung. "A networked PDE solving environment /." View Abstract or Full-Text, 2003. http://library.ust.hk/cgi/db/thesis.pl?MATH%202003%20TSUI.
Full textIncludes bibliographical references (leaves 56-58). Also available in electronic version. Access restricted to campus users.
Ugail, Hassan. "Method of trimming PDE surfaces." Elsevier, 2006. http://hdl.handle.net/10454/2648.
Full textBolzonella, Nicolo' <1989>. "MLPG solution of elliptic PDE." Master's Degree Thesis, Università Ca' Foscari Venezia, 2017. http://hdl.handle.net/10579/10509.
Full textUgail, Hassan, and N. Kirmani. "Method of surface reconstruction using partial differential equations." WSEAS, 2006. http://hdl.handle.net/10454/2750.
Full textSeidel, Cathleen. "Integration externer PDE-Löser in Mathcad." Universitätsbibliothek Chemnitz, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-201000672.
Full textDascaliuc, Radu. "Backward time behavior of dissipative PDE." Texas A&M University, 2005. http://hdl.handle.net/1969.1/4940.
Full textBroomé, Sofia, and Jonathan Ridenour. "A PDE PERSPECTIVE ON CLIMATE MODELING." Thesis, KTH, Matematik (Inst.), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-147765.
Full textZhu, Kangping. "Two problems in applications of PDE." Thesis, New York University, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3635320.
Full textThis thesis contains two different parts. For part I, we develop a PDE perspective on a model problem from the machine learning literature. The problem involves ''prediction" via ''regret minimization". Our PDE approach identifies the optimal strategies and the associated outcomes in a scaling limit where the number of time steps tends to 1. While our PDE is very nonlinear, explicit solutions are available in many cases due to a surprising and convenient link to the linear heat equation.
For part II, We consider H–αgradient flow of the Modica-Mortola energy. The evolution law can be viewed as a nonlocal analogue of the Cahn-Hilliard equation for α > 0; the limit as α= 0 is (formally at least) the volume preserving Allen-Cahn flow. When α > ½ , we prove a time-averaged upper bound on the typical length scale, of order t < 1/( 1 +2α) We also argue that for α > ½ the true time scale of the evolution is the original time scale (and that the case α < ½ is different). Finally, we derive the sharp interface limit of the flow using heuristic arguments.
Schönlieb, Carola-Bibiane. "Modern PDE techniques for image inpainting." Thesis, University of Cambridge, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.611552.
Full textAlqarni, Mohammed Zaidi A. "PRECONDITIONERS FOR PDE-CONSTRAINED OPTIMIZATION PROBLEMS." Kent State University / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=kent1573148003180191.
Full textSabra, Ahmad. "Nonlinear PDE and Optical Surfaces Design." Diss., Temple University Libraries, 2015. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/345398.
Full textPh.D.
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 the source to avoid obstruction. In the second model, the reflectors are neither convex nor concave and do not block the rays even if they are close to the source.
Temple University--Theses
Ugail, Hassan. "Spine based shape parameterisation for PDE surfaces." Springer, 2009. http://hdl.handle.net/10454/2649.
Full textUgail, Hassan, M. I. G. Bloor, and M. J. Wilson. "On interactive design using the PDE method." Vanderbilt University Press, 1998. http://hdl.handle.net/10454/2722.
Full textUgail, Hassan, M. I. G. Bloor, and M. J. Wilson. "Manipulation of PDE surfaces using an interactively defined parameterisation." Elsevier, 1999. http://hdl.handle.net/10454/2669.
Full textManipulation of PDE surfaces using a set of interactively defined parameters is considered. The PDE method treats surface design as a boundary-value problem and ensures that surfaces can be defined using an appropriately chosen set of boundary conditions and design parameters. Here we show how the data input to the system, from a user interface such as the mouse of a computer terminal, can be efficiently used to define a set of parameters with which to manipulate the surface interactively in real time.
Nordén, Markus. "Parallel PDE Solvers on cc-NUMA Systems." Licentiate thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-86307.
Full textRees, Tyrone. "Preconditioning iterative methods for PDE constrained optimization." Thesis, University of Oxford, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.543537.
Full textNordén, Markus. "Parallel PDE solvers on cc-NUMA systems /." Uppsala : Univ. : Dept. of Information Technology, Univ, 2004.
Find full textCarton, de Wiart Benjamin Valentin Guillaume. "Wavelet optimised PDE methods for financial derivatives." Thesis, University of Cambridge, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613648.
Full textKováč, Patrik. "Studie využitelnosti PDE toolboxu MATLABu v mechanice." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-443740.
Full textLiu, Pan. "Variational and PDE Methods for Image Processing." Research Showcase @ CMU, 2017. http://repository.cmu.edu/dissertations/945.
Full textHobbs, Graham. "Particles and biomembranes : a variational PDE approach." Thesis, University of Warwick, 2016. http://wrap.warwick.ac.uk/90319/.
Full textSCODINA, STEFANO. "Observation and control of PDE with disturbances." Doctoral thesis, Università degli Studi di Cagliari, 2012. http://hdl.handle.net/11584/266149.
Full textBrasco, Lorenzo. "Geodesics and PDE methods in transport models." Phd thesis, Paris 9, 2010. https://bu.dauphine.psl.eu/fileviewer/index.php?doc=2010PA090033.
Full textThis thesis is devoted to to the study of optimal transport problems, alternative to the so called Monge-Kantorovich one: they naturally arise in some real world applications, like in the design of optimal transportation networks or in urban traffic modeling. More precisely, we consider problems where the transport cost has a nonlinear dependence on the mass: typically in this type of problems, to move a mass m for a distance ℓ costs φ (m) ℓ, where φ is a given function, thus giving rise to a total cost of the type Σ φ (m) ℓ. Two interesting cases are widely addressed in this work: the case where φ is subadditive (branched transport), so that masses have the interest to travel together in order to lower the total cost; the case of φ being superadditive (congested transport), where on the contrary the mass tends to be as widespread as possible. In the case of branched transport, we introduce two new dynamical models: in the first one, the transport is described through the employ of curves of probabilty measures minimizing a length-type functional (with a weight function penalizing non atomic measures). On the other hand, the secon model is much more in the spirit of the celebrated Benamou-Brenier formulation for Wasserstein distances: in particular, the transport is described by means of pairs ``curve of measures--velocity vector field'', satisfying the continuity equation and minimizing a suitable dynamical energy (which is a non convex one, actually). For both models we prove existence of minimal configurations and equivalence with other modelizations existing in literature. Concerning the case of congested transport, we review in great details two already existing models, proving their equivalence: while the first one can be viewed as a Lagrangian approach to the problem and it has some interesting links with traffic equilibrium issues, the second one is a divergence-constrained convex optimization problem. The proof of this equivalence represents the central core of the second part of the work and contains various points of interest: among them, the DiPerna-Lions theory of flows of weakly differentiable vector fields, the Dacorogna-Moser construction for transport maps and, above all, some regularity estimates (that we derive here) for a very degenerate elliptic equation, that seems to be quite unexplored
Questa tesi è dedicata allo studio di problemi di trasporto ottimo, alternativi al cosiddetto problema di Monge-Kantorovich: essi appaiono in modo naturale in alcune applicazioni concrete, come nel disegno di reti ottimali di trasporto o nella modellizzazione di problemi di traffico urbano. In particolare, si considerano problemi in cui il costo di trasporto ha una dipendenza non lineare dalla massa: tipicamente in questo tipo di problemi, muovere una massa m per un tratto di lunghezza ℓ costa φ (m) ℓ, dove φ è una funzione assegnata, dando perciò luogo ad un costo totale del tipo Σ φ (m) ℓ. Due casi significativi vengono ampiamente trattati in questo lavoro: il caso in cui la funzione φ è subadditiva (trasporto ramificato), ragion per cui le masse hanno maggiore interesse a viaggiare insieme, in modo da diminuire il costo totale; il caso in cui φ è superadditiva (trasporto congestionato), dove al contrario la massa tende a diffondersi quanto più possibile. Nel caso del trasporto ramificato, si introducono due nuovi modelli dinamici: nel primo il trasporto è descritto da curve di misure di probabilità che minimizzano un funzionale di tipo geodetico (con un coefficiente penalizzante le misure non atomiche). Il secondo invece è maggiormente nello spirito della formulazione data da Benamou e Brenier per le distanze di Wasserstein: in particolare, il trasporto è descritto per mezzo di coppie ``curva di misure--campo di velocità'', legate dall'equazione di continuità, che minimizzano un'opportuna energia (non convessa). Per entrambi i modelli, si mostra l'esistenza di configurazioni minimali e si prova l'equivalenza con altre formulazioni esistenti in letteratura. Per quanto riguarda il caso del trasporto congestionato, si rivedono in dettaglio due modelli già esistenti, provandone l'equivalenza: mentre il primo di questi modelli può essere visto come un approccio Lagrangiano al problema ed ha interessanti legami con questioni di equilibrio per il traffico urbano, il secondo è un problema di ottimizzazione convessa con vincolo di divergenza. La dimostrazione dell'equivalenza tra i due modelli costituisce il corpo centrale della seconda parte del lavoro e contiene vari elementi di interesse, tra questi: la teoria dei flussi di campi vettoriali poco regolari di DiPerna e Lions, la costruzione di Dacorogna e Moser per mappe di trasporto e soprattutto dei risultati di regolarità (che quivi ricaviamo) per un'equazione ellittica molto degenere, che non sembra essere stata molto studiata
Brasco, Lorenzo. "Geodesics and PDE methods in transport models." Phd thesis, Université Paris Dauphine - Paris IX, 2010. http://tel.archives-ouvertes.fr/tel-00578447.
Full textUgail, Hassan. "Time-dependent shape parameterisation of complex geometry using PDE surfaces." Nashboro Press, 2004. http://hdl.handle.net/10454/2686.
Full textStrzodka, Robert. "Hardware efficient PDE solvers in quantized image processing." [S.l.] : [s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=974954594.
Full textNordén, Markus. "Multithreaded PDE Solvers on Non-Uniform Memory Architectures." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7149.
Full textCalatroni, Luca. "New PDE models for imaging problems and applications." Thesis, University of Cambridge, 2016. https://www.repository.cam.ac.uk/handle/1810/256139.
Full textNordén, Markus. "Multithreaded PDE solvers on non-uniform memory architectures /." Uppsala : Acta Universitatis Upsaliensis, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7149.
Full textJohansson, Henrik. "Performance characterization and evaluation of parallel PDE solvers." Licentiate thesis, Uppsala : Department of Information Technology, Uppsala University, 2006. http://www.it.uu.se/research/publications/lic/2006-010/2006-010.pdf.
Full textSajadini, Sadna. "Essays in Finance Related Problems with PDE Approach." Doctoral thesis, KTH, Matematik (Avd.), 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-134786.
Full textQC 20131129
Brandvik, Tobias. "The implementation of PDE solvers on parallel processors." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609958.
Full textEswaran, Akilesh. "Wavelet based PDE valuation of swaps and swaptions." Thesis, University of Cambridge, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.620182.
Full textPearson, John W. "Fast iterative solvers for PDE-constrained optimization problems." Thesis, University of Oxford, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581405.
Full textLee, Hock Seng. "An ODE/MOL PDE Template For Soil Physics." Thesis, Griffith University, 2003. http://hdl.handle.net/10072/365588.
Full textThesis (PhD Doctorate)
Doctor of Philosophy (PhD)
Australian School of Environmental Studies
Full Text
GOMES, Fabiana Oliveira dos Santos. "Avaliação dos efeitos do inibidor de fosfodiesterase-5 (Sildenafil) em um modelo de prostatite experimental." Universidade Federal de Pernambuco, 2015. https://repositorio.ufpe.br/handle/123456789/17363.
Full textMade available in DSpace on 2016-07-14T12:01:58Z (GMT). No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) Tese_Fabiana corrigida.pdf: 10988390 bytes, checksum: 0f7ed97ccd1c58e803213e43db1e6a2c (MD5) Previous issue date: 2015-07-29
FACEPE
O Sildenafil é um inibidor potente e seletivo da fosfodiesterase-5 (PDE5). Este fármaco foi aprovado para uso terapêutico na disfunção erétil e, atualmente, vem sendo usado também no tratamento da hipertensão pulmonar. Embora mantenha um excelente nível de segurança e perfil de tolerabilidade, poucos estudos avaliaram os possíveis efeitos colaterais do tratamento crônico com Sildenafil sobre o sistema reprodutor masculino, especialmente na próstata visando o relaxamento da uretra e alívio dos Sintomas do Trato Urinário Inferior (STUI). Desta forma, avaliamos o efeito do tratamento, em camundongos C57Bl/6, através de análise morfológica, ultraestrutural e expressão molecular de guanilato ciclase solúvel-sGC, Óxido nítrico sintase endotelial-eNOS, Antígeno prostático específico-PSA e Fator de crescimento transformador beta-TGF- no tecido prostático. Foi-se observado que o tratamento com Sildenafil não induz danos evidentes na próstata. Além disso, tem sido demonstrado que Sildenafil tem eficácia terapêutica em doenças inflamatórias crônicas, podendo apresentar uma eficácia terapêutica potencial em diferentes doenças. Entre elas, uma atenção especial tem sido dada para as patologias relacionadas ao trato urogenital masculino, como a Hiperplasia Prostática Benigna (HPB), Câncer de próstata e Prostatites. A inflamação tem sido considerada como um fator etiológio da HPB e STUI. Assim, foi proposto um modelo de lesão prostática com injeção intrauretral de LPS (1mg/ml), em camundongos machos Swiss e C57Bl/6, desenvolvido durante 3, 7, 10 e 14 dias. A análise dos resultados mostrou que a indução intrauretral com lipopolisacarideo-LPS atua como importante agente da HPB, além de promover o aumento de fatores de crescimento (FGF-7 e FGF- β), α-actina e citocinas pró-inflamatórias (IL-1, IL-6, IL-17), tanto no estroma como no epitélio. Uma vez que o Sildenafil tem potencial anti-inflamatório, este estudo se propôs a analisar a ação do Sildenafil em um modelo de lesão prostática experimental, induzido por injeção intrauretral de LPS em camundongos C57BL/6. O tratamento com Sildenafil (25mg/kg) dos animais com prostatite apresentaram redução significativa de -actina, COX-2, NFK- B, IL-6, IL-17 e FGF-7. Por não induzir danos na próstata , o Sildenafil, por não induzir a longo prazo danos evidentes na próstata pode representar uma estratégia farmacológica para o tratamento de doenças inflamatórias crônicas do trato urogenital.
Sildenafil is a potent and selective inhibitor of phosphodiesterase-5 (PDE5). This drug has been approved for therapeutic use in erectile dysfunction and currently has been also used to treat pulmonary hypertension. While maintaining an excellent level of safety and tolerability profile, few studies have evaluated the possible side effects of chronic treatment with Sildenafil on the male reproductive system, especially in prostate aimed at relaxing the urethra and relief of symptoms of Lower Urinary Tract (LUTS). Therefore, we assessed the treatment effect in C57Bl/6 mice, using morphological analysis, ultrastructural and molecular expression of soluble guanylate cyclase-sGC, endothelial nitric oxide synthase, eNOS, prostate-specific antigen PSA and transforming growth factor beta TGF- in prostate tissue. It is observed that the treatment with sildenafil does not induce apparent damage to the prostate. Furthermore, Sildenafil has been shown to have therapeutic efficacy in chronic inflammatory diseases, which have a potential therapeutic efficacy in various diseases. Among them, special attention has been given to the pathologies related to the male urogenital tract, such as Benign Prostatic Hyperplasia (BPH), prostate cancer and Prostatitis. Inflammation has been considered as a factor etiológio of BPH and LUTS. Thus, it has been proposed a prostatic intraurethral injection injury model of LPS (1mg/ml) in male Swiss mice and C57Bl /6 developed for 3, 7, 10 and 14 days. The results showed that the intraurethral induction with lipopolysaccharide-LPS acts as an important agent of HPB, and to promote the increase of growth factors (FGF-7 and FGF- ), -actin and proinflammatory cytokines (IL- 1, IL-6, IL-17), both in the stroma and the epithelium. Since Sildenafil has potential anti-inflammatory, this study aimed to analyze the action of Sildenafil in an experimental prostate injury model induced by intraurethral injection of LPS in C57Bl/6 mice. Treatment with sildenafil (25 mg/kg) of animals with prostatitis showed a significant reduction of -actin, COX-2 NFK-kB, IL-6, IL-17 and FGF-7. By not induce damage to the prostate, Sildenafil, not to induce long term damage evident in the prostate may represent a pharmacologic strategy for the treatment of chronic inflammatory diseases of the urogenital tract.
Arnarson, Teitur. "PDE methods for free boundary problems in financial mathematics." Doctoral thesis, KTH, Matematik (Inst.), 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4777.
Full textQC 20100630
Löf, Henrik. "Iterative and Adaptive PDE Solvers for Shared Memory Architectures." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7136.
Full textRehurek, Adam. "Stable Numerical Methods for PDE Models of Asian Options." Thesis, Högskolan i Halmstad, Tillämpad matematik och fysik (MPE-lab), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-16367.
Full textLjungberg, Malin. "Handling of curvilinear coordinates in a PDE solver framework." Licentiate thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-86138.
Full textLöf, Henrik. "Iterative and adaptive PDE solvers for shared memory architectures /." Uppsala : Acta Universitatis Upsaliensis, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7136.
Full textBentley, P. W. "Regularity and inverse SDE representations of some stochastic PDE." Thesis, University of Warwick, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.343150.
Full textQian, Elizabeth Yi. "A certified reduced basis approach to PDE-constrained optimization." Thesis, Massachusetts Institute of Technology, 2017. http://hdl.handle.net/1721.1/108932.
Full textCataloged from PDF version of thesis.
Includes bibliographical references (pages 65-67).
Parameter optimization problems 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, material properties, and geometry. Solving these optimization problems may require a prohibitively large number of computationally expensive PDE solves, particularly if the parameter dimension is high. It is therefore advantageous to replace expensive high-dimensional PDE solvers (e.g., finite element) with lower-dimension surrogate models. This work builds on the reduced basis (RB) method, a model reduction method that allows efficient and reliable reduced order approximations for a large class of parametrized PDEs. Traditionally, RB models are generated during a computationally expensive offline phase for a certain admissible parameter space. The optimization problem can then be solved efficiently during the online phase. However, since the RB model is only evaluated along the optimization trajectory, building an RB model for the entire admissible parameter set incurs superfluous offline costs. In this thesis, we break from the traditional RB offline/online decomposition and use a trust region framework to adaptiviely build the RB model along the optimization trajectory only. Novel a posteriori error bounds on the RB cost and cost gradient for quadratic cost functionals (e.g., least squares) are presented, and used to guarantee convergence to the optimum of the high-fidelity model. The proposed certified RB trust region approach uses high-fidelity solves to update the RB model only if the approximation is no longer sufficiently accurate, reducing the number of full-fidelity solves required. We consider problems governed by elliptic and parabolic PDEs and present numerical results for a thermal fin model problem in which we are able to reduce the number of full solves necessary for the optimization by up to 86%.
by Elizabeth Yi Qian.
S.M. in Aerospace Engineering
Banholzer, Stefan [Verfasser]. "ROM-Based Multiobjective Optimization with PDE Constraints / Stefan Banholzer." Konstanz : KOPS Universität Konstanz, 2021. http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1g98y1ic7inp29.
Full textMcDonald, Eleanor. "All-at-once solution of time-dependent PDE problems." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:60f2985b-6071-47ae-97a9-7813db0194ae.
Full textMoldenhauer, Marian [Verfasser]. "Adaptive Algorithms in Optimization under PDE Constraints / Marian Moldenhauer." Berlin : Freie Universität Berlin, 2021. http://d-nb.info/1236573064/34.
Full textFunke, Simon. "The automation of PDE-constrained optimisation and its applications." Thesis, Imperial College London, 2013. http://hdl.handle.net/10044/1/11079.
Full textLyne, O. D. "Probability and analysis for a hyperbolic coupled PDE system." Thesis, University of Bath, 1996. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.319202.
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