Holistic Numerical Methods

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language Maple ORDINARY DIFFERENTIAL EQUATION (Change major or language) Major General BACKGROUND Pre-Requisites for Ordinary Differential Equations [PDF] [DOC] Objectives of Ordinary Differential Equations [PDF] [DOC] What are Ordinary Differential Equations? [PDF] [DOC] A Primer on Ordinary Differential Equations [PDF] [DOC] Exact Solution of 1st order ODE [YOUTUBE 6:48] Exact Solution of 1st order ODE: Another Example [YOUTUBE 7:37] Exact Solution of 2nd order ODE: Distinct Roots of Characteristic Equation [YOUTUBE  8:50]  Exact Solution of 2nd order ODE: Repeated Roots of Characteristic Equation [YOUTUBE  8:41]  Exact Solution of 2nd order ODE: Complex Roots of Characteristic Equation [YOUTUBE  9:34] Test Your Knowledge of Background of Ordinary Differential Equation [HTML] [FLASH] [PDF] [DOC] PHYSICAL PROBLEM How much time will it take the ball to cool down? [PDF] [DOC]   NUMERICAL METHOD EULER'S METHOD Pre-Requisites for Euler's Method [PDF] [DOC] Objectives of Euler's Method [PDF] [DOC] How does Euler's method Work? [PDF] [DOC] Euler's Method of Solving ODEs: Derivation  [YOUTUBE 9:53] Euler's Method of Solving ODEs: Example [YOUTUBE 10:57]  Euler's Method of Estimating Integrals: Theory [YOUTUBE  7:11]  Euler's Method of Estimating Integrals: Example [YOUTUBE  8:58] A Power Point Presentation on Euler's Method [PDF] [PPT] Worksheet of Euler's Method [MWS] Convergence Worksheet of Euler's Method [MWS] Test Your Knowledge of Euler's method [HTML] [FLASH] [PDF] [DOC] RUNGE-KUTTA 2nd ORDER METHOD Pre-Requisites for Runge-Kutta 2nd Order Method [PDF] [DOC] Objectives of Runge-Kutta 2nd Order Method [PDF] [DOC] How does Runge-Kutta 2nd Order Method Work? [PDF] [DOC] Runge-Kutta 2nd Order Method: Background [YOUTUBE 9:46] Runge-Kutta 2nd Order Method: Formulas [YOUTUBE  10:57]  Runge-Kutta 2nd Order Method: Heun's Method  [YOUTUBE  9:27] Runge-Kutta 2nd Order Method: Midpoint Method  [YOUTUBE  10:45] Runge-Kutta 2nd Order Method: Ralston's Method Part 1 of 2 [ YOUTUBE 7:09] Runge-Kutta 2nd Order Method: Ralston's Method Part 2 of 2 [ YOUTUBE 5:00] Runge-Kutta 2nd Order Method: Derivation Part 1 of 2 [ YOUTUBE 7:08]| Runge-Kutta 2nd Order Method: Derivation Part 2 of 2 [ YOUTUBE 5:31] A Power Point Presentation on Runge-Kutta 2nd Order Method [PDF] [PPT] Worksheet of Runge-Kutta 2nd Order Method [MWS] Convergence Worksheet of Runge-Kutta 2nd Order Method [MWS] Test Your Knowledge of Runge-Kutta 2nd Order Method [HTML] [FLASH] [PDF] [DOC] RUNGE-KUTTA 4th ORDER METHOD Pre-Requisites for Runge-Kutta 4th Order Method [PDF] [DOC] Objectives of Runge-Kutta 4th Order Method [PDF] [DOC] How does Runge-Kutta 4th Order Method Work? [PDF] [DOC] Runge Kutta 4th Order Method: Formulas [YOUTUBE 9:54] Runge Kutta 4th Order Method: Example: Part 1 of 2 [YOUTUBE 9:29] Runge Kutta 4th Order Method: Example: Part 2 of 2 [YOUTUBE 8:48] A Power Point Presentation on Runge-Kutta 4th Order Method [PDF] [PPT] Worksheet of Runge-Kutta 4th Order Method [MWS] Convergence Worksheet of Runge-Kutta 4th Order Method [MWS] Test Your Knowledge of Runge-Kutta 4th Order Method [HTML] [FLASH] [PDF] [DOC] SHOOTING METHOD Pre-Requisites for Shooting Method [PDF] [DOC] Objectives of Shooting Method [PDF] [DOC] How Does Shooting Method Work? [PDF] [DOC] Power Point Presentation on Shooting Method [PDF] [PPT] Worksheet of Shooting Method [MWS] Test Your Knowledge of Shooting Method [HTML] [FLASH] [PDF] [DOC] FINITE DIFFERENCE METHOD Pre-Requisites for Finite Difference Method [PDF] [DOC] Objectives of Finite Difference Method [PDF] [DOC] How does Finite Difference Method Work? [PDF] [DOC] Finite Difference Method of Solving Ordinary Differential Equations: Background Part 1 of 2 [YOUTUBE 3:46] Finite Difference Method of Solving Ordinary Differential Equations: Background Part 2 of 2 [YOUTUBE 8:40] Finite Difference Method: Example Beam: Part 1 of 2  [YOUTUBE 6:13] Finite Difference Method: Example Beam: Part 2 of 2  [YOUTUBE 6:21] Finite Difference Method: Example Pressure Vessel: Part 1 of 2  [YOUTUBE 9:55] Finite Difference Method: Example Pressure Vessel: Part 2 of 2  [YOUTUBE 9:50] A Power Point Presentation on Finite Difference Method [PDF] [PPT] Worksheet of Finite Difference Method [MWS] Test Your Knowledge of Finite Difference Method [HTML] [FLASH] [PDF] [DOC] ANECDOTES On Solving Higher Order and Coupled Ordinary Differential Equations [PDF] [DOC] [MWS] Euler [HTML] [PDF] [DOC] Runge [HTML] [PDF] [DOC] Kutta [HTML] [PDF] [DOC]

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