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g30613740/README.md

Developer specializing in computational mathematics and scientific computing. Work encompasses numerical integration (composite quadrature rules), differentiation (finite differences), interpolation (global and piecewise Lagrange), and structural finite element analysis (beam bending). Implementations are primarily in C++ and Python, with analytical verification performed in SageMath and quantitative error assessment conducted using L₁, L₂, and L∞ norms.

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  1. cloth_sim cloth_sim Public

    WebGPU cloth simulation using Position Based Dynamics (PBD).

    JavaScript

  2. beam_bending_FEM beam_bending_FEM Public

    Beam bending analysis using analytical (SageMath) and FEM (C++) solutions.

    C++

  3. numerical_differentiation numerical_differentiation Public

    Numerical differentiation using finite differences and Runge–Romberg refinement.

    C++

  4. numerical_integration numerical_integration Public

    Composite quadrature (rectangle, trapezoidal, Simpson's, Newton–Cotes, Gauss–Legendre) with relative error analysis.

    C++

  5. global_lagrange global_lagrange Public

    Global Lagrange interpolation of a function using manually managed C++ and Python visualization.

    C++

  6. local_lagrange local_lagrange Public

    Local Lagrange interpolation using piecewise polynomials with manual memory management in C++.

    C++