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This repository contains a complete collection of implementations for various Numerical Methods used in computational mathematics. The project covers a wide range of topics including linear and ...

The program runs each method 100 times to measure average execution time and compares the performance against expected computational complexity. Cramer's Rule computes each variable xᵢ as the ratio ...

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Abstract: Coefficient matrix of linear equations from finite element method (FEM) is sparse and symmetrical. For the sake of saving CPU operational time and reducing storing requirement to computer, ...

Modified Benney-Luke equation (mBL equation) is a three-dimensional temporal-spatial equation with complex structures, that is a high-dimensional partial differential equation (PDE), it is also a new ...

Abstract: Lower-Upper (LU) decomposition is one of the most important algorithms in linear algebra and numerical analysis. For very large scale matrices, the calculation amount of LU decomposition is ...

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