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Syllabus

Unit 1

Differentiation: Numerical methods, forward difference and central difference methods, Lagrange’s interpolation method.

Integration: Newton – cotes expression for integral, trapezoidal rule, Simpsons’s rule, Gauss quadrature method.

Unit 2

Solution of differential equations: Taylor series method, Euler method, Runge Kutta method, predictor-corrector method.

Roots of equations: Polynomial equations, graphical methods, bisectional method, Newton-Raphson method, false position method.

Unit 3

Solution of simultaneous equations: Elimination method for solving simultaneous linear equations, Gauss elimination method, pivotal condensation method, Gaussseidal iteration method, Gauss Jordan method, matrix inversion method.

Eigen values and Eigen vectors of matrix: Determinant of a matrix, characteristic equation of a matrix, eigen values and eigen vectors of a matrix, power method.

Text Books

  • Rubin H Landau & Manuel Jose Paez Mejia, “Computational Physics”, John Wiley & Sons

Resources

  • Suresh Chandra, “Computer Applications in Physics”, Narosa Publishing House, New Delhi
  • M Hijroth Jensen, Department of Physics, University of Oslo, 2003 (Available in the Web)

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