Adaptive Composite Simpson's Rule Integration
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This program implements the adaptive composite Simpson's rule integration, a numerical method for solving definite integrals. The implementation consists of three MATLAB files, with mainnaadaptsimpson serving as the primary entry point that coordinates the integration process. The adaptive algorithm dynamically refines the integration mesh by recursively subdividing intervals where higher precision is required, ensuring accurate results for complex integral problems. The main file calls upon two additional M-files containing specialized functions for error estimation and recursive subdivision calculations. This practical implementation provides an efficient approach for computing challenging integrals with controlled accuracy, utilizing Simpson's 1/3 rule with automatic error control through interval adaptation.
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