Abstract
In this chapter we describe numerical methods to evalute definite integrals \( \int_a^b {f(x)dx} \) for functions \( f:\mathbb{R} \to \mathbb{R} \) of one variable. This process is often called numerical quadrature. Chapter 16 will treat numerical cubature, i.e., the evaluation of integrals \( ff_B f(x,y)dxdy \) for functions \( f:\mathbb{R}^2 \to \mathbb{R} \) over regions \( B \subseteq \mathbb{R}^2 \).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Bibliography for Section 15.1
[ATKI89], 5; [BRON85],III; [ENGE80]; [ENGE87], 9.1; [MAES84]; [McCR72], 5.7; [NIED87], 11.1; [STOE91], 3; [STUM82], p.70.
Bibliography for Section 15.2
[COLL73] I, 3.2; [CONT80], 5.2; [MEIN79], 6.4; [STIE63], 6.2.
Bibliography for Section 15.3
[CARN69], 2.1-2.6; [CONT80], 5.3; [ISAA66], 7.1; [McCA67], 8.2; [NIED87], 11.4; [STOE91], 3.1; [ZURM65], §13.1-5.
Bibliography for Section 15.4
[ENGE80], 6.1; [HÄMM78], 10; [STUM82], 4.1.2.
Bibliography for Section 15.5
[BRAS77], V.2; [BROS64], §29; [HÄMM78], p.103; [STR074],3.11; [STUM82], 4.2.1.
Bibliography for Section 15.6
[ENGE87], 9.4; [KRYL62], 10.
Bibliography for Section 15.7
[ATKI89], 5.3; [CARN69], 2.10; [COLL73] I, 3.2.3; [CONT80], 4.6; [DAVI82], 2.7; [ENGE80]; [ENGE87], 9.4; [HÄMM78], 12; [ISAA66], 7.3; [NIED87], 11.5; [NOBL65] II, 9.5; [STOE91], 3.5; [STR066]; [STUM82], 4.3; [WERN79], III §6 V; [ZURM65], §13.6.
Bibliography for Section 15.9
[BRAS77]; [CLEN60]; [ENGE80], 7.7.4; [NIED87], 11.6.
Bibliography for Section 15.10
[CARN69], 2.7; [CONT80], 4.4; [DAVI82], 6.3; [ENGE80]; [ENGE87], 9.5; [HÄMM78], 11; [HENR72], 13.7; [McCA67], 8.4; [McCR72], 5.11; [MEIN79], 6.3; [STIE63], 6.2.2; [STOE91], 3.2-4; [STR074], 3.10, 3.11; [STUM82], 4.2.2; [WERN79], III §8.
Bibliography for Section 15.11
[BRAS77], V.1, V.2; [ENGE80], 7.7.4; [NIED87], 11.6, 11.7; [STET76], 8.2, 8.3.
Bibliography for Section 15.12
[KAHA72]; [KAHA83]; [RALS67], 4.11; [STOE91], 3.5.
Bibliography for Section 15.13
[BROS64], §28; [ENGE87], 9.6; [ISAA66], 7.5.2; [WERN79], III §7.
Bibliography for Section 15.14
[BRAS7], 1.3; [NIED87], 11.13; [STR074], p. 311.
Bibliography for Chapter 15
[ATKI89], 5; [BJÖR74], 7.4; [CONT80], 7.; [DAVI82]; [ENGE80]; [HÄMM78]; [HÄMM91], 7.; [HILD78], 8.; [MAES88], 7.; [NIED87], 11.; [QUAD83]; [RALS67], IV.; [SCHM76], 8.; [SHAM73], II. 2; [STOE91], 3.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Engeln-Müllges, G., Uhlig, F. (1996). Numerical Integration. In: Numerical Algorithms with C. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61074-5_15
Download citation
DOI: https://doi.org/10.1007/978-3-642-61074-5_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64682-9
Online ISBN: 978-3-642-61074-5
eBook Packages: Springer Book Archive