'Initial condition' diaporamas de présentation

First Order Partial Differential Equations

First Order Partial Differential Equations. Method of characteristics. Web Lecture WI2607-2008. H.M. Schuttelaars . Delft Institute of Applied Mathematics. Contents . Linear First Order Partial Differential Equations Derivation of the Characteristic Equation Examples (solved using Maple)

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Time Domain Analysis of Linear Systems Ch2

Time Domain Analysis of Linear Systems Ch2. University of Central Oklahoma Dr. Mohamed Bingabr. Outline. Zero-input Response Impulse Response h(t) Convolution Zero-State Response System Stability. Time Domain Analysis. Zero-State Response. If M = N then

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TOXIC RELEASE & DISPERSION MODELS

TOXIC RELEASE & DISPERSION MODELS. Prepared by Associate Prof. Dr. Mohamad Wijayanuddin Ali Chemical Engineering Department Universiti Teknologi Malaysia. The applicable conditions are - - Constant mass release rate, Q m = constant, - No wind, < u j > = 0,

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The Advection Dispersion Equation

The Advection Dispersion Equation. Contaminant Transport. Modelling Contaminant Transport in Porous Media. Advection. Advection causes translation of the solute field by moving the solute with the flow velocity

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Existence and Uniqueness Theorem (Local Theorem)

Existence and Uniqueness Theorem (Local Theorem). Existence and Uniqueness Theorem Local Theorem. Proof :. Existence and Uniqueness Theorem (proof). Existence and Uniqueness Theorem (proof). Existence and Uniqueness Theorem (proof). Existence and Uniqueness Theorem (Global Theorem).

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Modeling Linguistic Theory on a Computer: From GB to Minimalism

Modeling Linguistic Theory on a Computer: From GB to Minimalism. Sandiway Fong Dept. of Linguistics Dept. of Computer Science. Mature system: PAPPI parser in the principles-and-parameters framework principles are formalized and declaratively stated in Prolog (logic)

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Modeling Linguistic Theory on a Computer: From GB to Minimalism

Modeling Linguistic Theory on a Computer: From GB to Minimalism. Sandiway Fong Dept. of Linguistics Dept. of Computer Science. Mature system: PAPPI parser in the principles-and-parameters framework principles are formalized and declaratively stated in Prolog (logic)

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Lin McMullin

Accumulation & Functions Defined by Integrals. Lin McMullin. Accumulation & Functions Defined by Integrals. Or Thoughts on . My Favorite Equation!.

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ELECTROMAGNETIC CANNON

ELECTROMAGNETIC CANNON. Question. A solenoid can be used to fire a small ball. A capacitor is used to energize the solenoid coil. Build a device with a capacitor charged to a maximum 50V. Investigate the relevant parameters and maximize the speed of the ball. Outline. Experimental setup

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State Space Analysis

State Space Analysis. Hany Ferdinando Dept. of Electrical Engineering Petra Christian University. Overview. State Transition Matrix Time Response Discrete-time evaluation. State Transition Matrix. The solution of . is.

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Lecture ( 25 ): Ordinary Differential Equations ( 1 of 2 )

Lecture ( 25 ): Ordinary Differential Equations ( 1 of 2 ). A differential equation is an algebraic equation that contains some derivatives :. Recall that a derivative indicates a change in a dependent variable with respect to an independent variable .

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Discrete-Time Models

Discrete-Time Models. Lecture 1. When To Use Discrete-Time Models. Discrete models or difference equations are used to describe biological phenomena or events for which it is natural to regard time at fixed (discrete) intervals. The size of an insect population in year i ;

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Flow of Control

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Exponential Growth and Decay

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Connections with Partial Differential Equations

Chapter 6. Connections with Partial Differential Equations. ???. *purpose*. There are two ways to compute a derivative security price (1) Use Monte Carlo simulation and risk- neutral measure (2)Numercially solve a partial differential equation.

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Approximating the derivatives

Approximating the derivatives. Numerical ODE (1D). Initial Value Problem:. Example:. Approximate . Numerical ODE (1D). Example:. Approximate . Forward Euler Method. Forward Euler Method. Example:. Numerical ODE (1D). Example:. function [xi,ti]=feuler(t0,T,n,xi_0) k=(T-t0)/n;

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Ch 2.1: Linear Equations; Method of Integrating Factors

Ch 2.1: Linear Equations; Method of Integrating Factors. A linear first order ODE has the general form where f is linear in y . Examples include equations with constant coefficients, such as those in Chapter 1, or equations with variable coefficients:. Constant Coefficient Case.

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Principles of Patient Assessment in EMS

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Ch 2.4: Differences Between Linear and Nonlinear Equations

Ch 2.4: Differences Between Linear and Nonlinear Equations. Recall that a first order ODE has the form y ' = f ( t , y ), and is linear if f is linear in y, and nonlinear if f is nonlinear in y. Examples: y ' = t y - e t , y ' = t y 2 .

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