Coverart for item
The Resource Mathematical modeling of Earth's dynamical systems : a primer, Rudy Slingerland and Lee Kump

Mathematical modeling of Earth's dynamical systems : a primer, Rudy Slingerland and Lee Kump

Label
Mathematical modeling of Earth's dynamical systems : a primer
Title
Mathematical modeling of Earth's dynamical systems
Title remainder
a primer
Statement of responsibility
Rudy Slingerland and Lee Kump
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of d
Cataloging source
N$T
http://library.link/vocab/creatorName
Slingerland, Rudy
Illustrations
  • illustrations
  • maps
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Kump, Lee R.
http://library.link/vocab/subjectName
  • Gaia hypothesis
  • SCIENCE
  • SCIENCE
  • MATHEMATICS
  • Geowissenschaften
  • Mathematisches Modell
  • Geostatistik
Label
Mathematical modeling of Earth's dynamical systems : a primer, Rudy Slingerland and Lee Kump
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 Modeling and Mathematical Concepts -- Pros and Cons of Dynamical Models -- An Important Modeling Assumption -- Some Examples -- Example I: Simulation of Chicxulub Impact and Its Consequences -- Example II: Storm Surge of Hurricane Ivan in Escambia Bay -- Steps in Model Building -- Basic Definitions and Concepts -- Nondimensionalization -- A Brief Mathematical Review 2 Basics of Numerical Solutions by Finite Difference -- First Some Matrix Algebra -- Solution of Linear Systems of Algebraic Equations -- General Finite Difference Approach -- Discretization -- Obtaining Difference Operators by Taylor Series -- Explicit Schemes -- Implicit Schemes -- How Good Is My Finite Difference Scheme? -- Stability Is Not Accuracy 3 Box Modeling: Unsteady, Uniform Conservation of Mass -- Translations -- Example I: Radiocarbon Content of the Biosphere as a One-Box Model -- Example II: The Carbon Cycle as a Multibox Model -- Example III: One-Dimensional Energy Balance Climate Model -- Finite Difference Solutions of Box Models -- The Forward Euler Method -- Predictor-Corrector Methods -- Stiff Systems -- Example IV: Rothman Ocean -- Backward Euler Method -- Model Enhancements 4 One-Dimensional Diffusion Problems -- Translations -- Example I: Dissolved Species in a Homogeneous Aquifer -- Example II: Evolution of a Sandy Coastline -- Example III: Diffusion of Momentum -- Finite Difference Solutions to 1-D Diffusion Problems 5 Multidimensional Diffusion Problems -- Translations -- Example I: Landscape Evolution as a 2-D Diffusion Problem -- Example II: Pollutant Transport in a Confined Aquifer -- Example III: Thermal Considerations in Radioactive Waste Disposal -- Finite Difference Solutions to Parabolic PDEs and Elliptic Boundary Value Problems -- An Explicit Scheme -- Implicit Schemes -- Case of Variable Coefficients 6 Advection-Dominated Problems -- Translations -- Example I: A Dissolved Species in a River -- Example II: Lahars Flowing along Simple Channels -- Finite Difference Solution Schemes to the Linear Advection Equation 7 Advection and Diffusion (Transport) Problems -- Translations -- Example I: A Generic 1-DCase -- Example II: Transport of Suspended Sediment in a Stream -- Example III: Sedimentary Diagenesis -- Finite Difference Solutions to the Transport Equation -- QUICK Scheme -- QUICKEST Scheme 8 Transport Problems with a Twist: The Transport of Momentum -- Translations -- Example I: One-Dimensional Transport of Momentum in a Newtonian Fluid (Burgers' Equation) -- An Analytic Solution to Burgers' Equation -- Finite Difference Scheme for Burgers' Equation -- Solution Scheme Accuracy -- Diffusive Momentum Transport in turbulent Flows -- Adding Sources and Sinks of Momentum:The General Law of Motion 9 Systems of One-Dimensional Non linear Partial Differential Equations -- Translations -- Example I: Gradually Varied Flow in an Open Channel -- Finite Difference Solution Schemes for Equation Sets -- Explicit FTCS Scheme on a Staggered Mesh -- Four-Point Implicit Scheme -- The Dam-Break Problem: An Example 10. Two-Dimensional Nonlinear Hyperbolic Systems -- Translations -- Example I The Circulation of Lakes, Estuaries, and the Coastal Ocean -- An Explicit Solution Scheme for 2-D Vertically Integrated Geophysical Flows -- Lake Ontario Wind-Driven Circulation: An Example
Control code
ocn719383459
Dimensions
unknown
Extent
1 online resource (xii, 231 pages)
File format
unknown
Form of item
online
Isbn
9781400839117
Lccn
2010041656
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
Other control number
3574376
Other physical details
illustrations, maps
http://library.link/vocab/ext/overdrive/overdriveId
  • cl0500000122
  • 22573/ctt107qk
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)719383459
Label
Mathematical modeling of Earth's dynamical systems : a primer, Rudy Slingerland and Lee Kump
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 Modeling and Mathematical Concepts -- Pros and Cons of Dynamical Models -- An Important Modeling Assumption -- Some Examples -- Example I: Simulation of Chicxulub Impact and Its Consequences -- Example II: Storm Surge of Hurricane Ivan in Escambia Bay -- Steps in Model Building -- Basic Definitions and Concepts -- Nondimensionalization -- A Brief Mathematical Review 2 Basics of Numerical Solutions by Finite Difference -- First Some Matrix Algebra -- Solution of Linear Systems of Algebraic Equations -- General Finite Difference Approach -- Discretization -- Obtaining Difference Operators by Taylor Series -- Explicit Schemes -- Implicit Schemes -- How Good Is My Finite Difference Scheme? -- Stability Is Not Accuracy 3 Box Modeling: Unsteady, Uniform Conservation of Mass -- Translations -- Example I: Radiocarbon Content of the Biosphere as a One-Box Model -- Example II: The Carbon Cycle as a Multibox Model -- Example III: One-Dimensional Energy Balance Climate Model -- Finite Difference Solutions of Box Models -- The Forward Euler Method -- Predictor-Corrector Methods -- Stiff Systems -- Example IV: Rothman Ocean -- Backward Euler Method -- Model Enhancements 4 One-Dimensional Diffusion Problems -- Translations -- Example I: Dissolved Species in a Homogeneous Aquifer -- Example II: Evolution of a Sandy Coastline -- Example III: Diffusion of Momentum -- Finite Difference Solutions to 1-D Diffusion Problems 5 Multidimensional Diffusion Problems -- Translations -- Example I: Landscape Evolution as a 2-D Diffusion Problem -- Example II: Pollutant Transport in a Confined Aquifer -- Example III: Thermal Considerations in Radioactive Waste Disposal -- Finite Difference Solutions to Parabolic PDEs and Elliptic Boundary Value Problems -- An Explicit Scheme -- Implicit Schemes -- Case of Variable Coefficients 6 Advection-Dominated Problems -- Translations -- Example I: A Dissolved Species in a River -- Example II: Lahars Flowing along Simple Channels -- Finite Difference Solution Schemes to the Linear Advection Equation 7 Advection and Diffusion (Transport) Problems -- Translations -- Example I: A Generic 1-DCase -- Example II: Transport of Suspended Sediment in a Stream -- Example III: Sedimentary Diagenesis -- Finite Difference Solutions to the Transport Equation -- QUICK Scheme -- QUICKEST Scheme 8 Transport Problems with a Twist: The Transport of Momentum -- Translations -- Example I: One-Dimensional Transport of Momentum in a Newtonian Fluid (Burgers' Equation) -- An Analytic Solution to Burgers' Equation -- Finite Difference Scheme for Burgers' Equation -- Solution Scheme Accuracy -- Diffusive Momentum Transport in turbulent Flows -- Adding Sources and Sinks of Momentum:The General Law of Motion 9 Systems of One-Dimensional Non linear Partial Differential Equations -- Translations -- Example I: Gradually Varied Flow in an Open Channel -- Finite Difference Solution Schemes for Equation Sets -- Explicit FTCS Scheme on a Staggered Mesh -- Four-Point Implicit Scheme -- The Dam-Break Problem: An Example 10. Two-Dimensional Nonlinear Hyperbolic Systems -- Translations -- Example I The Circulation of Lakes, Estuaries, and the Coastal Ocean -- An Explicit Solution Scheme for 2-D Vertically Integrated Geophysical Flows -- Lake Ontario Wind-Driven Circulation: An Example
Control code
ocn719383459
Dimensions
unknown
Extent
1 online resource (xii, 231 pages)
File format
unknown
Form of item
online
Isbn
9781400839117
Lccn
2010041656
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
Other control number
3574376
Other physical details
illustrations, maps
http://library.link/vocab/ext/overdrive/overdriveId
  • cl0500000122
  • 22573/ctt107qk
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)719383459

Library Locations

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      5998 Alcalá Park, San Diego, CA, 92110-2492, US
      32.771354 -117.193327
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