Explore MATLAB source code curated for "数值微分" with clean implementations, documentation, and examples.
A collection of high-quality MATLAB programs for numerical differentiation, numerical integration, nonlinear equation solving, and more, featuring optimized algorithms and implementation techniques.
Applying difference equations and numerical differentiation to solve basic practical problems. Experiment 3: Interpolation and Numerical Integration - Problem formulation and solution approaches for interpolation - Principles, advantages, and limitations of Lagrange interpolation - Fundamentals, strengths, and weaknesses of piecewise linear and cubic spline interpolation - MATLAB implementation techniques for piecewise linear and cubic spline interpolation (using functions like interp1 and spline) - Theory and MATLAB coding for trapezoidal and Simpson's integration rules - Error analysis of numerical integration formulas: convergence order concepts - Gaussian quadrature formulas - Generalized integrals and multiple integrals - Applying interpolation and numerical integration to solve real-world problems. Experiment 4: Numerical Solutions of Ordinary Differential Equations - Euler method principles and Runge-Kutta method approaches - Concepts of local truncation error and precision - Runge-Kutta implementations in MATLAB
MATLAB-based mathematical experiments covering numerical differentiation and integration, including comprehensive course materials, assignments with executable code implementations, and detailed analytical procedures explaining algorithmic approaches and computational methods.
MATLAB Common Algorithm Collection - Numerical Differentiation with Code Implementation Examples
MATLAB Code Implementation for Efficient Slope Calculation with Multiple Numerical Methods