عنوان
پدید آورنده
موضوع
رده
QE33.2.M3
QE33
.
2
.
M3
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0128172231
(Number (ISBN
9780128172230
Erroneous ISBN
0128172223
Erroneous ISBN
9780128172223
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Semi-Lagrangian Advection Methods and Their Applications in Geoscience /
General Material Designation
[Book]
First Statement of Responsibility
Steven J. Fletcher.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Amsterdam :
Name of Publisher, Distributor, etc.
Elsevier,
Date of Publication, Distribution, etc.
©2020.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (626 pages)
GENERAL NOTES
Text of Note
5.3.2 Quadratic Lagrange interpolation polynomial
CONTENTS NOTE
Text of Note
Front Cover; Semi-Lagrangian Advection Methods and Their Applications in Geoscience; Copyright; Contents; 1 Introduction; 2 Eulerian modeling of advection problems; 2.1 Continuous form of the advection equation; 2.1.1 Derivation of the one-dimensional Eulerian advection equation; Mass conservation derivation of the advection equation; Taylor series expansion derivation of the one-dimensional advection equation; 2.1.2 Methods of characteristics; 2.2 Finite difference approximations to the Eulerian formulation of the advection equation; 2.2.1 Upwind forward Euler
Text of Note
2.3.6 Implicit Runge-Kutta methodsImplicit midpoint derivation; Implicit trapezoidal derivation; Collocated implicit Runge-Kutta schemes; 2.3.7 Diagonally implicit Runge-Kutta schemes (DIRK); 2.4 Predictor-corrector methods; 2.4.1 Adams-Bashforth-Adams-Moulton predictor-corrector; 2.5 Summary; 3 Stability, consistency, and convergence of Eulerian advection based numerical methods; 3.1 Truncation error; 3.1.1 Consistency; 3.1.2 Truncation errors and consistency analysis of the linear multistep methods; 3.2 Dispersion and dissipation errors; 3.3 Amplitude and phase errors; 3.4 Stability
Text of Note
3.4.1 Courant-Friedrichs-Lewy condition3.4.2 Von Neumann stability analysis; 3.4.3 Multistep method stability; 3.5 Quantifying the properties of the explicit nite difference schemes; 3.5.1 Upwind forward Euler scheme; 3.5.2 Forward-time-centered-space scheme; 3.5.3 Lax-Friedrichs scheme; 3.5.4 Lax-Wendroff scheme; 3.5.5 Leap-frog, centered-time-centered-space scheme; 3.6 Linear multistep methods; 3.6.1 Stability of Adams-Bashforth 2 scheme; 3.7 Consistency and stability of explicit Runge-Kutta methods; 3.8 Implicit schemes; 3.8.1 Backward Euler scheme; 3.8.2 Crank-Nicolson scheme
Text of Note
3.9 Predictor-corrector methods3.10 Summary; 4 History of semi-Lagrangian methods; 4.1 Fjørtoft (1952) paper; 4.1.1 Barotropic problem; 4.1.2 The problem with time integration; 4.2 Welander (1955) paper; 4.3 Wiin-Nielsen (1959) paper; 4.4 Robert's (1981) paper; 4.5 Summary; 5 Semi-Lagrangian methods for linear advection problems; 5.1 Derivation of the Lagrangian form for advection; 5.2 Derivation of the semi-Lagrangian approach; 5.3 Semi-Lagrangian advection of the bell curve; 5.3.1 Semi-Lagrangian advection using linear Lagrange interpolation
Text of Note
Upwind forward Euler with the bell curveUpwind forward Euler with the step function; 2.2.2 Forward-time, centered-space, FTCS; 2.2.3 Lax-Friedrichs scheme; 2.2.4 Lax-Wendroff scheme; 2.2.5 Leap-frog, centered-time-centered-space (CTCS); 2.2.6 Linear multistep methods: Adams-Bashforth schemes; 2.2.7 Explicit Runge-Kutta methods; Derivation of the general explicit fourth-order Runge-Kutta method; 2.3 Implicit schemes; 2.3.1 Implicit, or backward Euler, scheme; 2.3.2 Crank-Nicolson scheme; 2.3.3 Box scheme; 2.3.4 Adams-Moulton methods; 2.3.5 Backward differentiation formula
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OTHER EDITION IN ANOTHER MEDIUM
Title
Semi-Lagrangian Advection Methods and Their Applications in Geoscience.
International Standard Book Number
9780128172223
TOPICAL NAME USED AS SUBJECT
Earth sciences-- Mathematical models.
Lagrange equations.
Earth sciences-- Mathematical models.
Lagrange equations.
DEWEY DECIMAL CLASSIFICATION
Number
550
.
1/5118
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QE33
.
2
.
M3
PERSONAL NAME - PRIMARY RESPONSIBILITY
Fletcher, Steven J., (Steven James)
ORIGINATING SOURCE
Date of Transaction
20200822085252.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
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