Mathematical modeling of earth's dynamical systems: a primer
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton [u.a.]
Princeton Univ. Press
2011
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XII, 231 S. Ill., graph. Darst., Kt. |
| ISBN: | 9780691145143 9780691145136 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV039131299 | ||
| 003 | DE-604 | ||
| 005 | 20140722 | ||
| 007 | t | ||
| 008 | 110711s2011 xxuabd| |||| 00||| eng d | ||
| 010 | |a 2010041656 | ||
| 020 | |a 9780691145143 |c pbk. : alk. paper |9 978-0-691-14514-3 | ||
| 020 | |a 9780691145136 |c hardcover |9 978-0-691-14513-6 | ||
| 035 | |a (OCoLC)712230801 | ||
| 035 | |a (DE-599)BVBBV039131299 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-703 |a DE-11 |a DE-188 |a DE-91G |a DE-29 | ||
| 050 | 0 | |a QH331 | |
| 082 | 0 | |a 550.1/5118 | |
| 084 | |a RB 10103 |0 (DE-625)142220:12616 |2 rvk | ||
| 084 | |a SK 920 |0 (DE-625)143272: |2 rvk | ||
| 084 | |a MAT 022f |2 stub | ||
| 084 | |a GEO 001f |2 stub | ||
| 100 | 1 | |a Slingerland, Rudy |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical modeling of earth's dynamical systems |b a primer |c Rudy Slingerland and Lee Kump |
| 264 | 1 | |a Princeton [u.a.] |b Princeton Univ. Press |c 2011 | |
| 300 | |a XII, 231 S. |b Ill., graph. Darst., Kt. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Gaia hypothesis |x Mathematical models | |
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Geowissenschaften |0 (DE-588)4020288-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Geowissenschaften |0 (DE-588)4020288-4 |D s |
| 689 | 0 | 1 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Kump, Lee R. |e Sonstige |4 oth | |
| 856 | 4 | 2 | |m SWB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024149630&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-024149630 | ||
Datensatz im Suchindex
| _version_ | 1804147966669225984 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
PREFACE XI
MODELING AND MATHEMATICAL CONCEPTS 1 PROS AND CONS OF DYNAMICAL MODELS 2
AN IMPORTANT MODELING ASSUMPTION 4 SOME EXAMPLES 4
EXAMPLE I: SIMULATION OF CHICXULUB IMPACT AND ITS CONSEQUENCES 5 EXAMPLE
II: STORM SURGE OF HURRICANE IVAN IN ESCAMBIA BAY 7 STEPS IN MODEL
BUILDING 8
BASIC DEFINITIONS AND CONCEPTS 11 NONDIMENSIONALIZATION 13 A BRIEF
MATHEMATICAL REVIEW 14 SUMMARY 22
BASICS OF NUMERICAL SOLUTIONS BY FINITE DIFFERENCE 23 FIRST SOME MATRIX
ALGEBRA 23 SOLUTION OF LINEAR SYSTEMS OF ALGEBRAIC EQUATIONS 25
GENERAL FINITE DIFFERENCE APPROACH 26 DISCRETIZATION 27 OBTAINING
DIFFERENCE OPERATORS BY TAYLOR SERIES 28
IMAGE 2
VI * CONTENTS
EXPLICIT SCHEMES 29 IMPLICIT SCHEMES 30 HOW GOOD IS MY FINITE DIFFERENCE
SCHEME? 33 STABILITY IS NOT ACCURACY 35
SUMMARY 37 MODELING EXERCISES 38
BOX MODELING: UNSTEADY, UNIFORM CONSERVATION OF MASS 39 TRANSLATIONS 40
EXAMPLE I: RADIOCARBON CONTENT OF THE
BIOSPHERE AS A ONE-BOX MODEL 40 EXAMPLE II: THE CARBON CYCLE AS A
MULTIBOX MODEL 48 EXAMPLE III: ONE-DIMENSIONAL ENERGY
BALANCE CLIMATE MODEL 53 FINITE DIFFERENCE SOLUTIONS OF BOX MODELS 57
THE FORWARD EULER METHOD 57 PREDICTOR-CORRECTOR METHODS 59
STIFF SYSTEMS 60 EXAMPLE IV: ROTHMAN OCEAN 61 BACKWARD EULER METHOD 65
MODEL ENHANCEMENTS 69 SUMMARY 71 MODELING EXERCISES 71
ONE-DIMENSIONAL DIFFUSION PROBLEMS 74 TRANSLATIONS 75 EXAMPLE I:
DISSOLVED SPECIES IN A HOMOGENEOUS AQUIFER 75
EXAMPLE II: EVOLUTION OF A SANDY COASTLINE 80 EXAMPLE III: DIFFUSION OF
MOMENTUM 83 FINITE DIFFERENCE SOLUTIONS TO 1-D DIFFUSION PROBLEMS 86
SUMMARY 86 MODELING EXERCISES 87
IMAGE 3
CONTENTS * VII
MULTIDIMENSIONAL DIFFUSION PROBLEMS 89 TRANSLATIONS 90 EXAMPLE I:
LANDSCAPE EVOLUTION AS A 2-D DIFFUSION PROBLEM 90
EXAMPLE II: POLLUTANT TRANSPORT IN A CONFINED AQUIFER 96 EXAMPLE HI:
THERMAL CONSIDERATIONS IN RADIOACTIVE WASTE DISPOSAL 99 FINITE
DIFFERENCE SOLUTIONS TO PARABOLIC
PDES AND ELLIPTIC BOUNDARY VALUE PROBLEMS 101 AN EXPLICIT SCHEME 102
IMPLICIT SCHEMES 103 CASE OF VARIABLE COEFFICIENTS 107 SUMMARY 108
MODELING EXERCISES 109
ADVECTION-DOMINATED PROBLEMS 111 TRANSLATIONS 112 EXAMPLE I: A DISSOLVED
SPECIES IN A RIVER 112 EXAMPLE II: LAHARS FLOWING ALONG SIMPLE
CHANNELS 116
FINITE DIFFERENCE SOLUTION SCHEMES TO THE LINEAR ADVECTION EQUATION 122
SUMMARY 126 MODELING EXERCISES 128
ADVECTION AND DIFFUSION (TRANSPORT) PROBLEMS 130 TRANSLATIONS 131
EXAMPLE I: A GENERIC 1-D CASE 131 EXAMPLE II: TRANSPORT OF SUSPENDED
SEDIMENT IN A STREAM 134 EXAMPLE III: SEDIMENTARY DIAGENESIS: INFLUENCE
OF BURROWS 138
IMAGE 4
VIII * CONTENTS
FINITE DIFFERENCE SOLUTIONS TO THE TRANSPORT EQUATION 143 QUICK SCHEME
144 QUICKEST SCHEME 146 SUMMARY 147 MODELING EXERCISES 147
8
TRANSPORT PROBLEMS WITH A TWIST: THE TRANSPORT OF MOMENTUM 151
TRANSLATIONS 152 EXAMPLE I: ONE-DIMENSIONAL TRANSPORT
OF MOMENTUM IN A NEWTONIAN FLUID (BURGERS EQUATION) 152 AN ANALYTIC
SOLUTION TO BURGERS EQUATION 157 FINITE DIFFERENCE SCHEME FOR BURGERS
EQUATION 158 SOLUTION SCHEME ACCURACY 160 DIFFUSIVE MOMENTUM TRANSPORT
IN TURBULENT FLOWS 163 ADDING SOURCES AND SINKS OF MOMENTUM:
THE GENERAL LAW OF MOTION 165 SUMMARY 166 MODELING EXERCISES 167
9
SYSTEMS OF ONE-DIMENSIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS 169
TRANSLATIONS 169 EXAMPLE I: GRADUALLY VARIED FLOW IN AN
OPEN CHANNEL 169 FINITE DIFFERENCE SOLUTION SCHEMES FOR EQUATION SETS
175 EXPLICIT FTCS SCHEME ON A STAGGERED MESH 175
FOUR-POINT IMPLICIT SCHEME 177 THE DAM-BREAK PROBLEM: AN EXAMPLE 180
SUMMARY 183 MODELING EXERCISES 185
IMAGE 5
CONTENTS * IX
10
TWO-DIMENSIONAL NONLINEAR HYPERBOLIC SYSTEMS 187 TRANSLATIONS 188
EXAMPLE I: THE CIRCULATION OF LAKES, ESTUARIES, AND THE COASTAL OCEAN
188
AN EXPLICIT SOLUTION SCHEME FOR 2-D VERTICALLY INTEGRATED GEOPHYSICAL
FLOWS 197 LAKE ONTARIO WIND-DRIVEN CIRCULATION: AN EXAMPLE 202 SUMMARY
203 MODELING EXERCISES 206
CLOSING REMARKS 209
REFERENCES 211
INDEX 217
|
| any_adam_object | 1 |
| author | Slingerland, Rudy |
| author_facet | Slingerland, Rudy |
| author_role | aut |
| author_sort | Slingerland, Rudy |
| author_variant | r s rs |
| building | Verbundindex |
| bvnumber | BV039131299 |
| callnumber-first | Q - Science |
| callnumber-label | QH331 |
| callnumber-raw | QH331 |
| callnumber-search | QH331 |
| callnumber-sort | QH 3331 |
| callnumber-subject | QH - Natural History and Biology |
| classification_rvk | RB 10103 SK 920 |
| classification_tum | MAT 022f GEO 001f |
| ctrlnum | (OCoLC)712230801 (DE-599)BVBBV039131299 |
| dewey-full | 550.1/5118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 550 - Earth sciences |
| dewey-raw | 550.1/5118 |
| dewey-search | 550.1/5118 |
| dewey-sort | 3550.1 45118 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geowissenschaften Geologie / Paläontologie Mathematik Geographie |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01870nam a2200481zc 4500</leader><controlfield tag="001">BV039131299</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140722 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">110711s2011 xxuabd| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2010041656</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691145143</subfield><subfield code="c">pbk. : alk. paper</subfield><subfield code="9">978-0-691-14514-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691145136</subfield><subfield code="c">hardcover</subfield><subfield code="9">978-0-691-14513-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)712230801</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV039131299</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QH331</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">550.1/5118</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">RB 10103</subfield><subfield code="0">(DE-625)142220:12616</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">MAT 022f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">GEO 001f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Slingerland, Rudy</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical modeling of earth's dynamical systems</subfield><subfield code="b">a primer</subfield><subfield code="c">Rudy Slingerland and Lee Kump</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton [u.a.]</subfield><subfield code="b">Princeton Univ. Press</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 231 S.</subfield><subfield code="b">Ill., graph. Darst., Kt.</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="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematisches Modell</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Gaia hypothesis</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Geowissenschaften</subfield><subfield code="0">(DE-588)4020288-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Geowissenschaften</subfield><subfield code="0">(DE-588)4020288-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kump, Lee R.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">SWB 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=024149630&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024149630</subfield></datafield></record></collection> |
| id | DE-604.BV039131299 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T23:59:38Z |
| institution | BVB |
| isbn | 9780691145143 9780691145136 |
| language | English |
| lccn | 2010041656 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024149630 |
| oclc_num | 712230801 |
| open_access_boolean | |
| owner | DE-703 DE-11 DE-188 DE-91G DE-BY-TUM DE-29 |
| owner_facet | DE-703 DE-11 DE-188 DE-91G DE-BY-TUM DE-29 |
| physical | XII, 231 S. Ill., graph. Darst., Kt. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| spelling | Slingerland, Rudy Verfasser aut Mathematical modeling of earth's dynamical systems a primer Rudy Slingerland and Lee Kump Princeton [u.a.] Princeton Univ. Press 2011 XII, 231 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Mathematisches Modell Gaia hypothesis Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Geowissenschaften (DE-588)4020288-4 gnd rswk-swf Geowissenschaften (DE-588)4020288-4 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Kump, Lee R. Sonstige oth SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024149630&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Slingerland, Rudy Mathematical modeling of earth's dynamical systems a primer Mathematisches Modell Gaia hypothesis Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Geowissenschaften (DE-588)4020288-4 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4020288-4 |
| title | Mathematical modeling of earth's dynamical systems a primer |
| title_auth | Mathematical modeling of earth's dynamical systems a primer |
| title_exact_search | Mathematical modeling of earth's dynamical systems a primer |
| title_full | Mathematical modeling of earth's dynamical systems a primer Rudy Slingerland and Lee Kump |
| title_fullStr | Mathematical modeling of earth's dynamical systems a primer Rudy Slingerland and Lee Kump |
| title_full_unstemmed | Mathematical modeling of earth's dynamical systems a primer Rudy Slingerland and Lee Kump |
| title_short | Mathematical modeling of earth's dynamical systems |
| title_sort | mathematical modeling of earth s dynamical systems a primer |
| title_sub | a primer |
| topic | Mathematisches Modell Gaia hypothesis Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Geowissenschaften (DE-588)4020288-4 gnd |
| topic_facet | Mathematisches Modell Gaia hypothesis Mathematical models Geowissenschaften |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024149630&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT slingerlandrudy mathematicalmodelingofearthsdynamicalsystemsaprimer AT kumpleer mathematicalmodelingofearthsdynamicalsystemsaprimer |