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Home | About | Resources | Reqmts | Search | Faqs | Site Index | Contact | KEYWORD | 1st Time Visitor |
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Intro | Differentiation | Nonlinear Eqns | Simul Linear Eqns | Interpolation | Regression | Integration | ODE |
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LANGUAGE Matlab |
NONLINEAR EQUATIONS |
Major General |
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BACKGROUND |
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Get acquainted with solving quadratic equations [PDF] [DOC] On solving a cubic equation exactly [PDF] [DOC] Test your knowledge on background of nonlinear equations [HTML] [PDF] [DOC]
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PHYSICAL PROBLEM |
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The float in a commode submerges to a certain depth in water. Using Newton's third law of motion and Archimedes principle, this problem of finding the depth to which the float submerges results in a nonlinear equation. [PDF] [DOC]
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NUMERICAL METHOD |
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How does bisection method work? [PDF] [DOC]
A Power point presentation on bisection method [PDF] [PPT] Worksheet of bisection method [PDF] [MFILE] Convergence worksheet of bisection method [PDF] [MFILE] Pitfall: Slow convergence of bisection method worksheet [PDF] [MFILE] Test your knowledge of bisection method [HTML] [PDF] [DOC]
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How does Newton-Raphson method work? [PDF] [DOC] Derivation of Newton-Raphson Method [YOUTUBE 8:24] Example for Newton-Raphson Method [YOUTUBE 10:06] Advantages & Drawbacks for Newton-Raphson Method: Part 1 of 2 [YOUTUBE 7:09] Advantages & Drawbacks for Newton-Raphson Method: Part 2 of 2 [YOUTUBE 4:43] Derivation from Taylor Series of Newton-Raphson Method [YOUTUBE 7:56] Supercomputers have No Divide Unit - A Newton-Raphson Method Approach [YOUTUBE 10:14] Supercomputers have No Divide Unit - Example [YOUTUBE 5:23] Finding Square Root of a Number - A Newton-Raphson Method Approach [YOUTUBE 6:34] Finding Square Root of a Number - Example [YOUTUBE 7:03] A Power point presentation on Newton-Raphson method [PDF] [PPT] Worksheet of Newton-Raphson method [PDF] [MFILE] Convergence worksheet of Newton-Raphson method [PDF] [MFILE] Pitfall: Division by zero in Newton-Raphson method worksheet [PDF] [MFILE] Pitfall: Slow Convergence at Inflection Points in Newton-Raphson method worksheet [PDF] [MFILE] Pitfall: Root jumps over several roots in Newton-Raphson method worksheet [PDF] [MFILE] Pitfall: Roots oscillates around local maxima and minima in Newton-Raphson method worksheet [PDF] [MFILE] Test your knowledge of Newton-Raphson method [HTML] [PDF] [DOC]
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How does secant method work? [PDF] [DOC] Derivation of Secant Method: Approach 1 of 2 [YOUTUBE 5:58] Derivation of Secant Method: Approach 2 of 2 [YOUTUBE 6:59] Algorithm of Secant Method [YOUTUBE 5:16] Example of Secant Method [YOUTUBE 8:16] A Power point presentation on secant method [PDF] [PPT] Worksheet of secant method [PDF] [MFILE] Convergence worksheet of secant method [PDF] [MFILE] Pitfall: Division by zero in secant method worksheet [PDF] [MFILE] Pitfall: Root jumps over several roots in secant method worksheet [PDF] [MFILE] Test your knowledge of secant method [HTML] [PDF] [DOC]
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ANECDOTES |
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