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Presentation Slides for Chapter 6 of Fundamentals of Atmospheric Modeling 2 nd Edition

Presentation Slides for Chapter 6 of Fundamentals of Atmospheric Modeling 2 nd Edition

Presentation Slides for Chapter 6 of Fundamentals of Atmospheric Modeling 2 nd Edition. Mark Z. Jacobson Department of Civil & Environmental Engineering Stanford University Stanford, CA 94305-4020 jacobson@stanford.edu March 10, 2005. ODEs and PDEs. Ordinary differential equation (ODE)

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800 views • 65 slides
Numerical Differentiation

Numerical Differentiation

Numerical Differentiation. Let us compute dy /dx or df/dx at node i Denote the difference operators:. Numerical Differentiation: Finite Difference. Approximate the function between as: Forward Difference: Approximate the function between as: Backward Difference:.

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476 views • 31 slides
SE301: Numerical Methods Topic 6 Numerical Differentiation Lecture 23

SE301: Numerical Methods Topic 6 Numerical Differentiation Lecture 23

SE301: Numerical Methods Topic 6 Numerical Differentiation Lecture 23. KFUPM Read Chapter 23, Sections 1-2. L ecture 23 Numerical Differentiation. First order derivatives High order derivatives Richardson Extrapolation Examples. Motivation.

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458 views • 25 slides
Finite Difference Methods (FDM)

Finite Difference Methods (FDM)

Finite Difference Methods (FDM). FDM. FDM involves three steps: Meshing Approximating PDE & Boundary conditions Computational molecule. Most commonly used grid patterns:. FDM. Forward-difference : Backward-difference: Central-difference: Second derivative:

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1.32k views • 24 slides
NUMERICAL DIFFERENTIATION or DIFFERENCE APPROXIMATION

NUMERICAL DIFFERENTIATION or DIFFERENCE APPROXIMATION

NUMERICAL DIFFERENTIATION or DIFFERENCE APPROXIMATION. Used to evaluate derivatives of a function using the functional values at grid points. They are important in the numerical solution of both ordinary and partial differential equations. Methods of Approximation. Forward Difference

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262 views • 23 slides
MATHEMATICAL METHODS

MATHEMATICAL METHODS

MATHEMATICAL METHODS. CONTENTS. Matrices and Linear systems of equations Eigen values and eigen vectors Real and complex matrices and Quadratic forms Algebraic equations transcendental equations and Interpolation Curve Fitting, numerical differentiation & integration

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463 views • 22 slides
Numerical Differentiation

Numerical Differentiation

Numerical Differentiation. Numerical Differentiation. First order derivatives High order derivatives Examples. Motivation. How do you evaluate the derivative of a tabulated function. How do we determine the velocity and acceleration from tabulated measurements. Recall.

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Engineering Analysis ENG 3420 Fall 2009

Engineering Analysis ENG 3420 Fall 2009

Engineering Analysis ENG 3420 Fall 2009. Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00. Lecture 27. Schedule The last homework HW5 and the last project are due on Tuesday November 24!!

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114 views • 11 slides
Deret Taylor

Deret Taylor

Deret Taylor. Kesalahan yang dihasilkan dari penggunaan suatu aproksimasi pengganti prosedur matematika yang eksak Contoh: approksimasi dengan deret Taylor. Kesalahan:. Kesalahan pemotongan. Aproksimasi orde ke nol (zero-order appr.). Aproksimasi orde ke satu (first-order appr.).

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1.35k views • 8 slides
Deret Taylor

Deret Taylor

Deret Taylor. Kesalahan yang dihasilkan dari penggunaan suatu aproksimasi pengganti prosedur matematika yang eksak Contoh: approksimasi dengan deret Taylor. Kesalahan:. Kesalahan pemotongan. Aproksimasi orde ke nol (zero-order appr.). Aproksimasi orde ke satu (first-order appr.).

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86 views • 8 slides

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