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Showing 1 to 20 of 204 for “"numerical integration"”.
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Geometric numerical integration for optimisation
In this thesis, we study geometric numerical integration for the optimisation of various classes of functionals. Numerical integration and the study of systems of differential equations have received increased attention within the optimisation community in the last decade, as a means for devising …
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Stability criteria for numerical integration methods.
Thesis: Elec. E., Massachusetts Institute of Technology, Department of Electrical Engineering, 1971
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Adaptive Geometric Numerical Integration of Mechanical Systems
This thesis is about structure preserving numerical integration of initial value problems, i.e., so called geometric numerical integrators. In particular, we are interested in how time-step adaptivity can be achieved in conjunction with structure preserving properties without destroying the good …
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Numerical Integration for One-Dimensional Stress Waves
Made available in DSpace on 2015-05-12T17:06:24Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 5900581.PDF: 4805311 bytes, checksum: f4ef605f6437c9e91705a172d2fc79be (MD5) Previous issue date: 1958
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Fibonacci Sets In Discrepancy Theory and Numerical Integration
… their quantity with respect to discrepancy and numerical integration. We give a Fourier analytic proof of the fact that symmetrized Fibonacci Set has asymptotically minimal L2 discrepancy. This approach also yields an exact formula for this quantity, allowing us to evaluate the constant in the …
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The structure and average discrepancies of lattice rules for numerical integration
… In the case of non-periodic integrands there is numerical evidence that the average L₂ discrepancy for these rules is smaller than the expected value for Monte-Carlo rules when the dimension s is less than 18. For non-periodic integrands, a vertex-modified version of the number-theoretic rule has …
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Indirect numerical integration, difference approximation, and circuit simulation of transmission lines
… transient analysis of linear systems: indirect numerical integration, difference approximation, and circuit simulation of transmission lines.
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A comparison of spherical grids for numerical integration of atmospheric models,
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Meteorology, 1969.
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Numerical Integration of Differential Equations Occurring in Two-Point Boundary Value Problems
Made available in DSpace on 2014-12-13T19:31:51Z (GMT). No. of bitstreams: 1 7915367.pdf: 3574704 bytes, checksum: e30da14f2beda132dd62637e1f7c200b (MD5) Previous issue date: 1979
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Strongly Stable and Accurate Numerical Integration Schemes for Nonlinear Systems in Atmospheric Models
… parameterizations is a well-known concern in numerical weather prediction (NWP) models. Nonlinear diffusion equations, furthermore, are a class of equations which are extensively applicable in different fields of science and engineering. Numerical stability and accuracy is a common concern in …
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A Field Method for the Numerical Integration of Two-Point Boundary-Value Problems
Made available in DSpace on 2014-12-12T00:25:52Z (GMT). No. of bitstreams: 1 7317278.pdf: 1377138 bytes, checksum: f9fc88fd8b9d6136c84e27c609d82c6c (MD5) Previous issue date: 1972
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One-Center Hartree-Fock Calculations for Diatomic Molecules by Numerical Integration of Differential Equations
Made available in DSpace on 2014-12-09T17:35:08Z (GMT). No. of bitstreams: 1 6503679.pdf: 3674237 bytes, checksum: ef7d02a760a970c136a1cd82e8e8a01a (MD5) Previous issue date: 1964
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Numerical Solutions to PDE Representations of Derivatives with Bilateral Counterparty Risk and Funding Costs
The purpose of 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 …
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Second-Order Relative Motion Equations
… of the linear case to show improvement, and with numerical integration of the quadratic differential equation to understand the error incurred by the approximation. In all cases, the comparison is made by computing the difference of the approximate state (analytical or numerical) from numerical …
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Allowable bending strength enhancement of 2 by 4 lumber by tension and compression proofloading
… advanced first order second moment (AFOSM) and numerical integration analysis methods were used to evaluate increases in allowable bending strength from proofloading in tension and compression. Proofloading in tension or in compression both produced significant increases in allowable bending …
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Numerical Analysis and Theory of Oblique Alfvenic Solitons Observed in the Interplanetary Magnetic Field
… used in the inverse scattering transform in a numerical context and numerical integration of nonlinear partial dierential equations. One event, which was observed by the Ulysses spacecraft on February 21st, 2001, is extensively scrutinized through comparison with soliton solutions that emerge …
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On the development of an efficient truly meshless discretization procedure in computational mechanics
… the approximation spaces are generated and the numerical integration is performed without a mesh. While the theory behind meshless techniques is rather straightforward, the generation of a computationally efficient scheme is quite difficult. Computational efficiency may be achieved by proper …
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Approximation and Integration on Compact Subsets of Euclidean Space
… valued functions. It considers interpolation and numerical integration of functions. It also looks at error and precision, the Weierstrass Theorem and Taylors Theorem. In addition, spherical harmonics, the Laplacian, Hilbert spaces and linear projections are considered with respect to the unit …
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