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Bisection Method: Solving Non-linear Equations
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Related lectures (48)
Method of Undetermined Coefficients
Explores the method of undetermined coefficients for solving non-homogeneous linear differential equations with constant coefficients.
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Focuses on using the bisection method to approximate function roots with precision.
Nonlinear Equations: Methods and Applications
Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.
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Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.
Bisection Method: Proposition and Demonstration
MOOC: Analysis I
MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function
Covers the bisection method proposition and its demonstration for finding roots.
Nonlinear Equations: Bisection Method
Introduces root finding using the bisection method for nonlinear equations, illustrated with a three-tanks system example.
Newton's Method: Convergence and Criteria
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Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.
Non-linear Equations: Dichotomy Method
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Explores non-linear equations using the dichotomy method for finding zeros with tolerance.
Fixed Point Methods: Non-linear Equations
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Covers fixed point methods for finding zeros of non-linear equations.
Numerical Analysis: Nonlinear Equations
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Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Root Finding Methods: Bisection and Secant Techniques
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Covers root-finding methods, focusing on the bisection and secant techniques, their implementations, and comparisons of their convergence rates.
Root Finding Methods: Secant, Newton, and Fixed Point Iteration
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Covers numerical methods for finding roots, including secant, Newton, and fixed point iteration techniques.
Non-linear Equations: Bisection Method
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Explores solving non-linear equations using the bisection method iteratively.
Numerical Analysis: Newton's Method
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Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.
Taylor Series and Secant Method: Numerical Analysis Techniques
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Discusses the Taylor series and secant method, focusing on their applications in numerical analysis and root-finding techniques.
Runge Kutta and Multistep Methods
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Explores Runge Kutta and multistep methods for solving ODEs, including Backward Euler and Crank-Nicolson.
Bisection Method, Newton Method
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Covers the Bisection Method and Newton Method for solving nonlinear equations using interval splitting and tangent lines.
Numerical Analysis: Nonlinear Equations
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Covers algorithms for solving mathematical problems approximately using a computer, including nonlinear equations and numerical approximation methods.
Numerical Methods: Bisection and Multidimensional Arrays
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Discusses the bisection method for solving nonlinear equations and its implementation using Python with NumPy and Matplotlib.
Bisection Method: Iterative Search for Zeros
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Covers the bisection method for finding zeros of continuous functions through iterative narrowing of intervals.
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