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ZWMath›Numerical analysis

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Numerical analysis

23 concepts in 5 topics and 1 course. Explore freely or follow a guided course.

23concepts
5topics
1courses

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Courses

Numerical methods

Root finding 5 · Interpolation and splines 5 · Numerical linear algebra 4 · Numerical integration and differentiation 5 · Numerical ODEs 4

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Topics

Root finding 5 concepts

Bisection method · Fixed-point iteration · Secant method · Intermediate value theorem · Convergent sequence

Interpolation and splines 5 concepts

Newton divided differences · Interpolation error · Runge phenomenon · Cubic splines · Rolle's theorem

Numerical linear algebra 4 concepts

Cholesky factorization · Jacobi and Gauss-Seidel methods · Transpose matrix · System of linear equations

Numerical integration and differentiation 5 concepts

Trapezoidal rule · Simpson's rule · Gaussian quadrature · Finite differences for derivatives · Riemann integral

Numerical ODEs 4 concepts

Euler's method · Local and global error · Runge-Kutta methods · Initial value problem

Practice

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