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 45 for “"Partial Derivatives"”.
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Compiling Fast Partial Derivatives of Functions Given by Algorithms
… This is a sampling scheme that approximates derivatives by the slope of secants in closely spaced points. Symbolic methods that make full use of the program text of Af should be able to come up with a better way to evaluate the gradient of f. The system "Jake" described in this thesis …
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A transition calculus for Boolean functions
… the dynamic behavior of logic circuits. Boolean partial derivatives are introduced that are more powerful and applicable to a wider class of problems than the Boolean difference. The partial derivatives are used to define a Boolean differential which provides a concise method for describing the …
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Extremal functions related to convexity and martingales
… functions of a suitable quotient of second order partial derivatives of the convex function, where these functions will satisfy certain conditions so that the biconvex function will have the given boundary values. From the quotient of second order partial derivatives of the convex function, we …
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Numerical Methods for Smooth Solutions of Ordinary Differential Equations
… Minimization codes may require that partial derivatives with respect to parameters be evaluated. If the derivatives are obtained by differencing the numerical solution of the differential equations, the smoothness of that solution with respect to parameter changes is crucial to the …
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Boundary data smoothness for solutions of nonlocal boundary value problems.
… we show that under certain conditions partial derivatives and differences exist, with respect to boundary conditions, for solutions of nonlocal boundary value problems and solve the variational equation in the derivative case and a specific linear difference equation in the difference …
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Optimal experimental designs for estimating the slope of a response surface
… functions are chosen to be the first order partial derivatives of the fitted polynomial, the criterion leads to optimal designs for estimating the slope. It is found that the generalized criterion function can be minimized in the situation in which the slope is to be estimated using the …
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Nonlinear State Estimation of the Ionosphere as Perturbed by the 2017 Great American Eclipse
… parameters and various latitude and longitude partial derivatives are defined at a set of latitude/longitude spline grid points. Bi-quintic interpolation between the points defines the parameters' values and the corresponding Chapman profiles at all latitude/longitude points. The Chapman …
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Extracting the Rotational Degrees of Freedom From a Reconstructed Three-Dimensional Velocity Field Along With an Analytical Demonstraton and a Proposed Method for Experimental Verification
… spaced so that the DFT-IDFT technique of taking partial derivatives of the translational velocities is used. A program was written in C along with MATLAB® which performed the theoretical calculations. Two proposed methods of experimentally verifying the angular velocity data is developed using a …
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Quasi-static non-ordinary state-based peridynamics for the modeling of 3D fracture
… have used continuum models built upon partial derivatives with respect to the spatial coordinates in the force and displacement relationship. These methods are inherently incompatible for modeling cracks because the partial derivatives are undefined at crack faces due to the …
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A novel approach to calculating relative scattering parameter sensitivity in computer-aided design programs
… and the adjoint network method for estimating partial derivatives, are also presented.
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Gaussian processes at the Helm(holtz): A more fluid model for ocean currents
… to the original vector field just via mixed partial derivatives, we can still perform inference given the original data with only a small constant multiple of additional computational expense. We illustrate the benefits of our method on synthetic and real ocean data.
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A comparison of slope estimation methods
… field observations. The gradient calculated from partial derivatives of the equations was used to compare results from different methods. The natural surface was used to validate the findings of the study on artificial surfaces. The results were then statistically evaluated using ANOVA and …
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Sliding Mode Observers for Distributed Parameter Systems: Theory and Applications
… in nature and industry can be described by partial differential equations. PDEs employ quantities such as density, temperature, velocity, etc. and their partial derivatives to model these phenomena. However, in the case of distributed parameter systems, it is not always possible to have …
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Inertial measurement unit calibration using Full Information Maximum Likelihood Optimal Filtering
… of the IMU during centrifuge testing. The partial derivatives of the Kalman Filter equations necessary to identify these parameters are developed. Using synthetic measurements, the sensitivity of FIMLOF to initial parameter estimates and filter suboptimality is investigated. The filter …
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Incorporating global information into local nonlinear controllers
… the local performance is determined by the partial derivatives of the control law evaluated at the equilibrium point. For a linear controller, the derivatives are equal to the state-feedback gains and the gains on the external inputs. These gains can be changed to vary the local performance …
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Spectral Properties of the Renormalization Group
… of the third part, and shows that the matrix of partial derivatives of the RG map displays an approximate band property for finite-range and translation-invariant Hamiltonians at high temperature. The last part justifies the differentiability of the RG map in the infinite volume limit at the …
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Making Hybrid Systems Easier to Model, Simulate, and Visualize
… to develop novel hybrid systems. The support for partial derivative, in particular, is limited in present mainstream modeling and simulation languages as well as reachability analysis tools for hybrid systems. Either they do not provide such language construct, requiring the modeler to manually …
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A sieve auxillary function
… due to the prohibitive presence of high-order partial derivatives arising from the Gauss quadrature method used. In this thesis, we develop additional representations of q. Certain of these representations lead to computational methods which are amenable to detailed error analysis. We provide …
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Aerodynamic Modeling Using Computational Fluid Dynamics and Sensitivity Equations
… angular rates). In particular, the stability derivatives are associated with partial derivatives of these functions. These stability derivatives can be computed using finite differences or the sensitivity equation method.
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Morita Equivalence and Generalized Kähler Geometry
… the metric can be expressed in terms of the partial derivatives of a function. This result relies on the fact that the metric of a GK structure corresponds to a Lagrangian brane, which can be represented via the method of generating functions. We then apply this result to give new …
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