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Kinematics and Dynamics of
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Advanced Scientific Computing, B673
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Diagonalization of Hermitian Matrices
Pushing Particles
Kinematics and Dynamics of a Material Point
Newton's Second Law
Conservation of Energy and Angular Momentum
Lagrange Equations
Hamilton Equations
Lagrange and Hamilton Equations for Many-Particle Systems
Poisson Brackets
Hamilton-Jacobi Equation
Solving the Hamilton-Jacobi Equation
Euler Method
The Mid-Point Method
The Fourth-Order Runge-Kutta Method
Example Code
Adaptive Stepsize Control
Example Code
Discussion
The Bulirsch-Stoer Method
The Modified Midpoint Method
The Discussion
Richardson Interpolation and Extrapolation
Bulirsch-Stoer Step
Stiff Equations
Zdzislaw Meglicki
2001-02-26
