Numerical methods for differential equations and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bucureşti
Ed. Acad. [u.a.]
1984
|
| Edition: | 1. Engl. ed. |
| Series: | Mathematics and its applications / East European series
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | EST: Metode numerice pentru ecuaţii diferenţiale cu aplicaţii <engl.>. - Aus d. Rumän. übers. |
| Physical Description: | XXI, 337 S. |
| ISBN: | 9027715971 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000253647 | ||
| 003 | DE-604 | ||
| 005 | 20021218 | ||
| 007 | t | ||
| 008 | 870612s1984 |||| 00||| eng d | ||
| 020 | |a 9027715971 |9 90-277-1597-1 | ||
| 035 | |a (OCoLC)239893403 | ||
| 035 | |a (DE-599)BVBBV000253647 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-384 |a DE-355 |a DE-824 |a DE-29T |a DE-739 |a DE-703 |a DE-706 |a DE-83 | ||
| 084 | |a SK 910 |0 (DE-625)143270: |2 rvk | ||
| 084 | |a SK 920 |0 (DE-625)143272: |2 rvk | ||
| 084 | |a 65Lxx |2 msc | ||
| 084 | |a MAT 665f |2 stub | ||
| 100 | 1 | |a Ixaru, Liviu G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Numerical methods for differential equations and applications |c Liviu Gr. Ixaru |
| 250 | |a 1. Engl. ed. | ||
| 264 | 1 | |a Bucureşti |b Ed. Acad. [u.a.] |c 1984 | |
| 300 | |a XXI, 337 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications / East European series |v 6 | |
| 500 | |a EST: Metode numerice pentru ecuaţii diferenţiale cu aplicaţii <engl.>. - Aus d. Rumän. übers. | ||
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 0 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 1 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 1 | |5 DE-604 | |
| 810 | 2 | |a East European series |t Mathematics and its applications |v 6 |w (DE-604)BV000006709 |9 6 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000153133&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-000153133 | ||
Record in the Search Index
| _version_ | 1804114719365136384 |
|---|---|
| adam_text | Contents
Editor s Preface ix
Preface xi
Preliminaries xiii
CHAPTER 1. Multistep Methods
1.1 Strategies to Derive Algorithms 1
1.2 Elements of the Theory of Backward Differences .... 2
1.3 The General Algorithm of the Multistep Methods ... 4
1.4 The Open Methods Euler, Adams Bashforth, Nystrom . . 6
1.5 The Closed Methods Adams Moulton, Milne Simpson, and
Milne 8
1.6 Error Analysis: Local Truncation Error and Consistency. . 10
1.7 Error Analysis: Error Propagation and Stability 18
1.8 Practical Issues Concerning Multistep Algorithms 36
1.9 Predictor Corrector Procedure for Closed Multistep
Algorithms 40
1.10 User oriented Investigation of the Accumulated Error for
Multistep Methods 46
1.11 Multistep Methods for Second Order Differential Equations
of Special Form 63
1.12 The de Vogelaere Method 79
1.13 Methods to Solve Linear Second Order Differential
Equations 103
References 112
CHAPTER 2. One Step Methods
2.1 Generalities 115
2.2 The Runge Kutta Method; Various Versions 126
vii
viii CONTENTS
2.3 Step Size Adjustment for Genuine One Step Methods. ... 135
2.4 Other Genuine One Step Methods 145
2.5 Chebyshev Series Method 150
2.6 Special One Step Methods 158
References 167
CHAPTER 3. Piecewise Perturbation Methods
3.1 Difficulties with the Classical Methods 170
3.2 A Constant Perturbation Method for Linear Non homoge¬
neous Second order Equations 177
3.3 General Piecewise Perturbation Approach 182
3.4 Constant Perturbation Methods 195
3.5 Line Perturbation Methods 219
3.6 Piecewise Perturbation Methods for Systems of Differential
Equations 233
3.7 Perturbation Solution of Differential Equations with Singular
Coefficients 245
3.8 A Way to Improve the Accuracy of Classical Algorithms. . 254
References 260
CHAPTER 4. Boundary Value Problems
4.1 Generalities 263
4.2 Shooting Methods 265
4.3 Direct Methods 273
4.4 Eigenvalue Problems 283
4.5 The Schrodinger Equation 289
References 295
CHAPTER 5. Practical Applications
5.1 Formulation of the Test Problem 297
5.2 Organization of the Program 299
5.3 The Program 301
5.4 Discussion of the Results . 324
Subject Index 335
|
| any_adam_object | 1 |
| author | Ixaru, Liviu G. |
| author_facet | Ixaru, Liviu G. |
| author_role | aut |
| author_sort | Ixaru, Liviu G. |
| author_variant | l g i lg lgi |
| building | Verbundindex |
| bvnumber | BV000253647 |
| classification_rvk | SK 910 SK 920 |
| classification_tum | MAT 665f |
| ctrlnum | (OCoLC)239893403 (DE-599)BVBBV000253647 |
| discipline | Mathematik |
| edition | 1. Engl. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02044nam a2200481 cb4500</leader><controlfield tag="001">BV000253647</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20021218 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">870612s1984 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9027715971</subfield><subfield code="9">90-277-1597-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)239893403</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000253647</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 910</subfield><subfield code="0">(DE-625)143270:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 920</subfield><subfield code="0">(DE-625)143272:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65Lxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 665f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ixaru, Liviu G.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Numerical methods for differential equations and applications</subfield><subfield code="c">Liviu Gr. Ixaru</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. Engl. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Bucureşti</subfield><subfield code="b">Ed. Acad. [u.a.]</subfield><subfield code="c">1984</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXI, 337 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathematics and its applications / East European series</subfield><subfield code="v">6</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">EST: Metode numerice pentru ecuaţii diferenţiale cu aplicaţii <engl.>. - Aus d. Rumän. übers.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">East European series</subfield><subfield code="t">Mathematics and its applications</subfield><subfield code="v">6</subfield><subfield code="w">(DE-604)BV000006709</subfield><subfield code="9">6</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000153133&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="n">oe</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000153133</subfield></datafield></record></collection> |
| id | DE-604.BV000253647 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:11:11Z |
| institution | BVB |
| isbn | 9027715971 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000153133 |
| oclc_num | 239893403 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-824 DE-29T DE-739 DE-703 DE-706 DE-83 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-824 DE-29T DE-739 DE-703 DE-706 DE-83 |
| physical | XXI, 337 S. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Ed. Acad. [u.a.] |
| record_format | marc |
| series2 | Mathematics and its applications / East European series |
| spelling | Ixaru, Liviu G. Verfasser aut Numerical methods for differential equations and applications Liviu Gr. Ixaru 1. Engl. ed. Bucureşti Ed. Acad. [u.a.] 1984 XXI, 337 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications / East European series 6 EST: Metode numerice pentru ecuaţii diferenţiale cu aplicaţii <engl.>. - Aus d. Rumän. übers. Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s East European series Mathematics and its applications 6 (DE-604)BV000006709 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000153133&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ixaru, Liviu G. Numerical methods for differential equations and applications Numerisches Verfahren (DE-588)4128130-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4012249-9 (DE-588)4044779-0 |
| title | Numerical methods for differential equations and applications |
| title_auth | Numerical methods for differential equations and applications |
| title_exact_search | Numerical methods for differential equations and applications |
| title_full | Numerical methods for differential equations and applications Liviu Gr. Ixaru |
| title_fullStr | Numerical methods for differential equations and applications Liviu Gr. Ixaru |
| title_full_unstemmed | Numerical methods for differential equations and applications Liviu Gr. Ixaru |
| title_short | Numerical methods for differential equations and applications |
| title_sort | numerical methods for differential equations and applications |
| topic | Numerisches Verfahren (DE-588)4128130-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Numerisches Verfahren Differentialgleichung Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000153133&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000006709 |
| work_keys_str_mv | AT ixaruliviug numericalmethodsfordifferentialequationsandapplications |