From 6149839224755c21225d2decddeae12207c2cbab Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Patrik=20M=C3=BCller?= Date: Tue, 31 May 2022 16:31:25 +0200 Subject: Add rule of thumb, analyse integrand, correct mistake in integration SLP<->LP --- buch/papers/laguerre/references.bib | 9 +++++++++ 1 file changed, 9 insertions(+) (limited to 'buch/papers/laguerre/references.bib') diff --git a/buch/papers/laguerre/references.bib b/buch/papers/laguerre/references.bib index 6956ade..e12e218 100644 --- a/buch/papers/laguerre/references.bib +++ b/buch/papers/laguerre/references.bib @@ -19,4 +19,13 @@ timestamp = {2008-06-25T06:25:58.000+0200}, title = {Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables}, year = 1972 +} + +@article{Cassity1965AbcissasCA, + title={Abcissas, coefficients, and error term for the generalized Gauss-Laguerre quadrature formula using the zero ordinate}, + author={C. Ronald Cassity}, + journal={Mathematics of Computation}, + year={1965}, + volume={19}, + pages={287-296} } \ No newline at end of file -- cgit v1.2.1 From 3cb2fa354f814fa98474610dac744281285dafc6 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Patrik=20M=C3=BCller?= Date: Fri, 15 Jul 2022 11:40:55 +0200 Subject: First version of section 'Gauss Quadratur', fix to gamma_approx.py when z=0 --- buch/papers/laguerre/references.bib | 11 +++++++++++ 1 file changed, 11 insertions(+) (limited to 'buch/papers/laguerre/references.bib') diff --git a/buch/papers/laguerre/references.bib b/buch/papers/laguerre/references.bib index e12e218..2371922 100644 --- a/buch/papers/laguerre/references.bib +++ b/buch/papers/laguerre/references.bib @@ -4,6 +4,17 @@ % (c) 2020 Autor, Hochschule Rapperswil % +@book{hildebrand2013introduction, + title={Introduction to Numerical Analysis: Second Edition}, + author={Hildebrand, F.B.}, + isbn={9780486318554}, + series={Dover Books on Mathematics}, + url={https://books.google.ch/books?id=ic2jAQAAQBAJ}, + year={2013}, + publisher={Dover Publications}, + pages = {389} +} + @book{abramowitz+stegun, added-at = {2008-06-25T06:25:58.000+0200}, address = {New York}, -- cgit v1.2.1 From e1f5d6267540ea8dc758696fb08cb7540362cf8f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Patrik=20M=C3=BCller?= Date: Mon, 18 Jul 2022 17:34:37 +0200 Subject: First complete draft of Laguerre chapter --- buch/papers/laguerre/references.bib | 18 +++++++++++++----- 1 file changed, 13 insertions(+), 5 deletions(-) (limited to 'buch/papers/laguerre/references.bib') diff --git a/buch/papers/laguerre/references.bib b/buch/papers/laguerre/references.bib index 2371922..d21009b 100644 --- a/buch/papers/laguerre/references.bib +++ b/buch/papers/laguerre/references.bib @@ -3,19 +3,17 @@ % % (c) 2020 Autor, Hochschule Rapperswil % - -@book{hildebrand2013introduction, +@book{laguerre:hildebrand2013introduction, title={Introduction to Numerical Analysis: Second Edition}, author={Hildebrand, F.B.}, isbn={9780486318554}, series={Dover Books on Mathematics}, - url={https://books.google.ch/books?id=ic2jAQAAQBAJ}, year={2013}, publisher={Dover Publications}, pages = {389} } -@book{abramowitz+stegun, +@book{laguerre:abramowitz+stegun, added-at = {2008-06-25T06:25:58.000+0200}, address = {New York}, author = {Abramowitz, Milton and Stegun, Irene A.}, @@ -32,11 +30,21 @@ year = 1972 } -@article{Cassity1965AbcissasCA, +@article{laguerre:Cassity1965AbcissasCA, title={Abcissas, coefficients, and error term for the generalized Gauss-Laguerre quadrature formula using the zero ordinate}, author={C. Ronald Cassity}, journal={Mathematics of Computation}, year={1965}, volume={19}, pages={287-296} +} + +@online{laguerre:lanczos, + title = {Lanczos Approximation}, + author={Eric W. Weisstein}, + url = {https://mathworld.wolfram.com/LanczosApproximation.html}, + date = {2022-07-18}, + year = {2022}, + month = {7}, + day = {18} } \ No newline at end of file -- cgit v1.2.1 From 5da2fa5a5e6a2fa2b8a23745b8c300d15a06669d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Patrik=20M=C3=BCller?= Date: Sat, 23 Jul 2022 15:19:20 +0200 Subject: Restruct paper, correct typos, add positive conclusion, add more citations and references, small changes to plots --- buch/papers/laguerre/references.bib | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) (limited to 'buch/papers/laguerre/references.bib') diff --git a/buch/papers/laguerre/references.bib b/buch/papers/laguerre/references.bib index d21009b..1a4a903 100644 --- a/buch/papers/laguerre/references.bib +++ b/buch/papers/laguerre/references.bib @@ -10,15 +10,13 @@ series={Dover Books on Mathematics}, year={2013}, publisher={Dover Publications}, - pages = {389} + pages = {389-392} } @book{laguerre:abramowitz+stegun, added-at = {2008-06-25T06:25:58.000+0200}, address = {New York}, author = {Abramowitz, Milton and Stegun, Irene A.}, - biburl = {https://www.bibsonomy.org/bibtex/223ec744709b3a776a1af0a3fd65cd09f/a_olympia}, - description = {BibTeX - Wikipedia, the free encyclopedia}, edition = {ninth Dover printing, tenth GPO printing}, interhash = {d4914a420f489f7c5129ed01ec3cf80c}, intrahash = {23ec744709b3a776a1af0a3fd65cd09f}, -- cgit v1.2.1