NASA Scientific and Technical Aerospace Reports

of V and V and UQ at specified Confidence levels in evaluating system certification status. Only with quantitative validation
statements can rational tradeoffs of various scenarios be made.
NTIS
Computerized Simulation; Proving; Analysis (Mathematics); Confidence Limits
20040111169 California Univ., Lawrence Berkeley National Lab., Berkeley, CA, USA
Comparison of Three High-Precision Quadrature Schemes
Bailey, D. H.; Li, X. S.; 2004; 20 pp.; In English
Report No.(s): DE2004-822964; No Copyright; Avail: Department of Energy Information Bridge
The authors have implemented three numerical quadrature schemes, using the new Arbitrary Precision (ARPREC)
software package, with the objective of seeking a completely ‘automatic’ arbitrary precision quadrature facility, namely one
that does not rely on a priori information of the function to be integrated. Such a facility is required, for example, to permit
the experimental identification of definite integrals based on their numerical values. The performance and accuracy of these
three quadrature schemes are compared using a suite of 15 integrals, ranging from continuous, well-behaved functions on finite
intervals to functions with vertical derivatives and integrable singularities at endpoints, as well as several integrals on an
infinite interval.
NTIS
Applications Programs (Computers); Numerical Analysis; Quadratures
20040111179 Lawrence Livermore National Lab., Livermore, CA
Enabling Interoperation of High Performance Scientific Computing Applications: Modeling Scientific Data with the
Sets and Fields (SAF) Modeling System
Miller, M. C.; Reus, J. F.; Matzke, R. P.; Arrighi, W. J.; Schoof, L. A.; Feb. 07, 2001; In English
Report No.(s): DE2003-15005662; UCRL-JC-143025; No Copyright; Avail: National Technical Information Service (NTIS)
This paper describes the Sets and Fields (SAF) scientific data modeling system. It is a revolutionary approach to
interoperation of high performance, scientific computing applications based upon rigorous, math-oriented data modeling
principles. Previous technologies have required all applications to use the same data structures and/or meshes to represent
scientific data or lead to an ever expanding set of incrementally different data structures and/or meshes. SAF addresses this
problem by providing a small set of mathematical building blockssets, relations and fieldsout of which a wide variety of
scientific data can be characterized. Applications literally model their data by assembling these building blocks. A short
historical perspective, a conceptual model and an overview of SAF along with preliminary results from its use in a few ASCI
codes are discussed.
NTIS
Mathematical Models; Data Structures; Computerized Simulation
20040111440 National Taiwan Univ. of Science and Technology, Taipei, Taiwan, Province of China
Journal of The Chinese Institute of Engineers. Special Issue: Meshless Methods, Volume 27, No. 4
Chen, Shuh, Editor; Tsai, Hsien-Lung, Editor; Shiou, Fang-Jung, Editor; Lee, Liang-Sun, Editor; Young, Der-Liang, Editor;
Pan, Ching-Tsai, Editor; Chen, Jean-Lien, Editor; Chung, Chung-Ping, Editor; Chao, Ching-Kong, Editor; Chang, Kai, Editor,
et al.; July 2004; ISSN 0253-3839; 151 pp.; In English; Copyright; Avail: Other Sources
The articles in this special issue on Meshless methods are: Modelling of Radionuclide Migration through the Geosphere
with Radial Basis Function Method and Geostatistics, An Accurate Solution to the Meshless Local Petrov-Galerkin
Formulation in Elastodynamics, Moving Element Free Petrov-Galerkin Viscous Method, A Meshless Singular Hybrid
Boundary Node Method for 2-D Elastostatics, Static and Dynamic Analysis of 2-D Functionally Graded Elasticity by Using
Meshless Local Petrov-Galerkin Method, Pseudo Elastic Analysis of Material Non-Linear Problems Using Element Free
Galerkin Method, A Meshless Local Boundary Integral Equation Method for Heat Conduction Analysis in Nonhomogeneous
Solids, A Boundary Method of the Trefftz Type for Hydrodynamic Application, Mathematical Analysis and Treatment for the
True and Spurious Eigenequations of Circular Plates by the Meshless Method Using Radial Basis Function Using Meshfree
Approximation for Multi-Asset American Options, Analysis of Microelectromechanical Systems (MEMS) by Meshless Local
Kriging (LoKriging) Method, Element Free Formulation Used for Connecting Domain Boundaries, Direct Approach to Solve
Nonhomogeneous Diffusion Problems Using Fundamental Solutions and Dual Reciprocity Methods, Numerical Solution of
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