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Showing 1 to 20 of 24 for “"Adjoints"”.
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Discrete Adjoints: Theoretical Analysis, Efficient Computation, and Applications
… provides directional derivatives and discrete adjoints with working accuracy. A complete complexity analysis of the basic modes of automatic differentiation is available. Therefore, the research activities are focused now on different aspects of the derivative calculation, as for example the …
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Kernels of adjoints of composition operators on Hilbert spaces of analytic functions
… in the study of composition operators and their adjoints. Chapter 2 provides the background for results obtained by Cowen and Gallardo-Gutiérrez, and Hammond, Moorhouse, and Robbins in the Hardy space. The results by Goshabulaghi and Vaezi for the Bergman and Dirichlet spaces are also given. …
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Large-Scale Simulations Using First and Second Order Adjoints with Applications in Data Assimilation
… In this research we employ first order adjoints in air quality simulations. Moreover, we explore theoretically the computation of second order adjoints for chemical transport models, and illustrate their feasibility in several aspects. We apply first order adjoints to sensitivity …
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Algebraic exponentiation and internal homology in general categories
… monoidal closed abelian category. (ii) Right adjoints for the pullback functors between D. Bourns categories of points. We introduce and study them in the situations where the ordinary pullback functors between bundles do not admit right adjoints in particular for semi-abelian, protomodular, …
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Attitudes des directions d'écoles francophones du Nouveau-Brunswick vis-à-vis de la participation des parents au système éducatif
… les attitudes des directeurs et des directeurs adjoints des écoles francophones vis-à-vis de la participation des parents au système éducatif. La recension des écrits présentée au chapitre II a permis de comprendre le concept «attitude» ainsi que la gestion participative. Plusieurs travaux de …
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Unbounded linear operators in seminormed spaces
… theory of unbounded linear operators, their adjoints and the relationship between operators and their adjoints is covered in Chapter III. Chapter IV concentrates on characterising unbounded strictly singular operators while in Chapter V operators with closed range are studied. Finally, in …
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Fuel-optimal space-flight transfer solutions through a redundant adjoint variable transformation
… a new necessary condition in Schumacher adjoints is derived in this dissertation, and this together with classical necessary conditions for fuel-optimal transfer (existing in the position and velocity space) leads to a numerical algorithm which seems to be quite robust in finding …
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State diagrams for bounded and unbounded linear operators
… ϒ(T) > 0 and ϒ(T΄) > 0 are derived. Second adjoints are important in Tauberian Theory (see Cross [Cl]). Chapters I and IV are the main chapters. In Chapter I of this thesis the author modifies many of the proofs appearing in Goldberg [Gl), to take account of the new definition of the adjoint.
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Categories with New Foundations
… be proven more generally for a class of relative adjoints, (pseudo)monads, etc. Thus, where it seems appropriate to do so, this thesis seeks to contribute to the broader study of relative algebra.
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Computational Tools for Chemical Data Assimilation with CMAQ
… impact of the continuous and discrete advection adjoints on data assimilation, various four dimensional variational (4D-Var) data assimilation experiments are carried out with the 1D advection PDE, and with CMAQ advection using synthetic and real observation data. The results show that …
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Adjoint-based space-time adaptive solution algorithms for sensitivity analysis and inverse problems
… error analysis and estimation, and discrete adjoints for sensitivity analysis of flux–limited numerical algorithms.
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Weighted estimates for dyadic operators with complexity
… with complexity $(0,0)$). Paraproducts and their adjoints are examples of Haar shift multipliers of type 2 and 3. We adapt the Nazarov and Volberg method to show that for certain Haar shift multipliers of type 4 and complexity $(m,n)$ the same type of bounds in $L^2(w)$ hold. Also we prove that …
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Set Operators
… and set erosion operators; they are dual and adjoints of each other. The pairs of closing operators and opening operators, union preserving operatorsand their inverses, the intersection preserving operators and their inverses, all give rise to a Galois connection. All these high-level …
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A DOCTRINAL VIEW OF LOGIC
… varieties, and such functors all have left adjoints. Given a morphism of elementary doctrines, we prove the existence of a left adjoint of the functor induced by precomposition in the doctrine of subobjects of a Grothendieck topos. It is then shown how the existence of free functors in …
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Advanced Time Integration Methods with Applications to Simulation, Inverse Problems, and Uncertainty Quantification
… a posteriori error framework. Discrete adjoints of GARK methods are derived from their forward formulation [Sandu and Guenther, SINUM 2015]. Based on these, we build a posteriori estimators for both spatial and temporal discretization errors. We validate the estimators on a number of …
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Safety implications of a sensitivity analysis of the reactor kinetics parameters for fast breeder reactors
… derivatives. This method is based on the use of adjoints so that it is not necessary to repeatedly solve the governing (kinetics) equations to obtain the sensitivity derivatives. This is of particular importance when large systems of equations are used. A two-energy multigroup and two precursor …
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Derivative-Free Methods for High-Dimensional Optimization with Application to Centrifugal Pump Design
… Although automatic differentiation and adjoints have become increasingly popular, acquiring derivative information from many of these simulation codes is often infeasible or intractable. For such problems, derivative-free optimization (DFO) methods offer a means of optimizing using only …
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Adjoint based solution and uncertainty quantification techniques for variational inverse problems
… algorithm makes use of first and second order adjoints and provides an a-posteriori error estimate for a quantity of interest defined on the inverse solution (i.e., an aspect of the inverse solution). We illustrate the estimation algorithm on a shallow water model and on the Weather Research …
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Dynamics and optimal control of information transmission in complex systems
… constraints. Using a predefined library of adjoints of common integro-differential boundary-value problem operators, this platform automates the construction of the necessary conditions for stationary points and extrema, also in the presence of inequality constraints. Examples from the …
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An adjoint-based formalism for optimal design of time-delay systems and uncertainty quantification in stochastic systems
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms
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