Numerical Integration [E-Book] : Recent Developments, Software and Applications / edited by Terje O. Espelid, Alan Genz.
This volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Develop ments, Software and Applications', held at the University of Bergen, Bergen, Norway, June 17-21,1991. The Workshop was att...
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Full text |
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Personal Name(s): | Espelid, Terje O., editor |
Genz, Alan, editor | |
Imprint: |
Dordrecht :
Springer,
1992
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Physical Description: |
XII, 367 p. online resource. |
Note: |
englisch |
ISBN: |
9789401126465 |
DOI: |
10.1007/978-94-011-2646-5 |
Series Title: |
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NATO ASI Series, Series C: Mathematical and Physical Sciences ;
357 |
Subject (LOC): |
- Numerical Integration Rules
- A Survey of Methods for Constructing Cubature Formulae
- Linear Representations of Finite Groups and the Ideal Theoretical Construction of G-Invariant Cubature Formulas
- On the Number of Nodes of Odd Degree Cubature Formulae for Integrals with Jacobi Weights on a Simplex
- On Quadrature Formulae near Gaussian Quadrature
- Numerical Integration in High Dimensions — the Lattice Rule Approach
- Existence Theorems for Efficient Lattice Rules
- SINC Quadratures for Cauchy Principal Value Integrals
- Interpolatory Product Integration in the Presence of Singularities: Lp Theory
- The Numerical Evaluation of Definite Integrals Affected by Singularities Near the Interval of Integration
- Application of Computer Algebra Software to the Derivation of Numerical Integration Rules for Singular and Hypersingular Integrals
- Numerical Integration Error Analysis
- Remainder Estimates for Analytic Functions
- Error Bounds Based on Approximation Theory
- One Sided L1-Approximation and Bounds for Peano Kernels
- An Algebraic Study of the Levin Transformation in Numerical Integration
- Numerical Integration Applications
- Developments in Solving Integral Equations Numerically
- Numerical Integration of Singular and Hypersingular Integrals in Boundary Element Methods
- On Handling Singularities in Finite Elements
- A Robust Numerical Integration Method for 3-D Boundary Element Analysis and its Error Analysis using Complex Function Theory
- On the Numerical Calculation of Multidimensional Integrals Appearing in the Theory of Underwater Acoustics
- Statistics Applications of Subregion Adaptive Multiple Numerical Integration
- The Sinc Indefinite Integration and Initial Value Problems
- Numerical Integration Algorithms and Software
- Software for Integration over Triangles and General Simplices
- An Algorithm for Automatic Integration of Certain Singular Functions over a Triangle
- CUBPACK: Progress Report
- Parallel Cubature on Loosely Coupled Systems
- Transformation of Integrands for Lattice Rules
- DQAINT: An Algorithm for Adaptive Quadrature over a Collection of Finite Intervals
- A Note on Variable Knot, Variable Order Composite Quadrature for Integrands with Power Singularities
- Computation of Oscillatory Infinite Integrals by Extrapolation Methods
- Appendix: Final Program
- List of Participants
- List of Contributors.