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|z 9780128172223
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|z (OCoLC)1128824885
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|a 550.1/5118
|2 23
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|a Fletcher, Steven J.
|q (Steven James)
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|a Semi-Lagrangian Advection Methods and Their Applications in Geoscience /
|c Steven J. Fletcher.
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|a Amsterdam :
|b Elsevier,
|c �2020.
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| 300 |
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|a 1 online resource (626 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Print version record.
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|a 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
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| 505 |
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|a 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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|a 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
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|a 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
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|a 3.9 Predictor-corrector methods3.10 Summary; 4 History of semi-Lagrangian methods; 4.1 Fj�rtoft (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
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|a 5.3.2 Quadratic Lagrange interpolation polynomial
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| 650 |
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|a Earth sciences
|x Mathematical models.
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| 650 |
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0 |
|a Lagrange equations.
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| 650 |
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6 |
|a Sciences de la terre
|0 (CaQQLa)201-0002519
|x Mod�eles math�ematiques.
|0 (CaQQLa)201-0379082
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| 650 |
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6 |
|a �Equations de Lagrange.
|0 (CaQQLa)201-0011283
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| 650 |
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7 |
|a Earth sciences
|x Mathematical models
|2 fast
|0 (OCoLC)fst00900752
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| 650 |
|
7 |
|a Lagrange equations
|2 fast
|0 (OCoLC)fst00990773
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| 776 |
0 |
8 |
|i Print version:
|a Fletcher, Steven J.
|t Semi-Lagrangian Advection Methods and Their Applications in Geoscience.
|d San Diego : Elsevier, �2019
|z 9780128172223
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| 856 |
4 |
0 |
|u https://sciencedirect.uam.elogim.com/science/book/9780128172223
|z Texto completo
|
