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Error propagation, conditioning, and stability theory motivate root-finding (bisection, Newton, secant), polynomial and spline interpolation, numerical differentiation, adaptive quadrature, and matrix factorisations (LU, QR, SVD). Advanced topics include multigrid pre-conditioning and GPU-accelerated computation via Numba/JAX, arming the reader with industrial-grade techniques for high-fidelity simulation and data analysis.

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Numerical Methods

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  • 发表日期：

    2026年

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  • Pradeep Singh,
  • Balasubramanian Raman

摘要

Error propagation, conditioning, and stability theory motivate root-finding (bisection, Newton, secant), polynomial and spline interpolation, numerical differentiation, adaptive quadrature, and matrix factorisations (LU, QR, SVD). Advanced topics include multigrid pre-conditioning and GPU-accelerated computation via Numba/JAX, arming the reader with industrial-grade techniques for high-fidelity simulation and data analysis.