{"product_id":"numerical-integration-recent-developments-software-and-applications-9780792315834","title":"Numerical Integration: Recent Developments, Software and Applications","description":"\u003cp\u003e • Author(s): Terje O. Espelid\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Kluwer Academic Publishers\u003cbr\u003e • BISAC: Calculus\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eNumerical 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45284107681943,"sku":"9780792315834","price":5873.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780792315834.webp?v=1769280201","url":"https:\/\/atlanticbooks.com\/products\/numerical-integration-recent-developments-software-and-applications-9780792315834","provider":"Atlantic Books","version":"1.0","type":"link"}