Contains a wealth of topics to allow instructors flexibility in the choice of topics and depth of coverage: Examines projective motion with and without realistic air resistance. Discusses planetary motion and the three-body problem. Explores chaotic motion of the pendulum and waves on a string. Includes topics relating to fractal growth and stochastic systems. Offers examples on statistical physics and quantum mechanics. Contains ample explanations of the necessary algorithms students need to help them write original programs, and provides many example programs and calculations for reference.
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ORDINARY DIFFERENTIAL EQUATIONS
REALISTIC PROJECTILE MOTION
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algorithm amino acids amplitude angular approach approximately array assume asteroids atoms average axis ball behavior boundary conditions calculate chaotic Chapter cluster conﬁguration consider corresponding curve described differential equations difﬁcult dimensionality discussion displacement distribution end sub energy Euler method example exercises ﬁeld ﬁnal ﬁnd ﬁnite ﬁrst ﬁxed ﬂipping ﬂuctuations force Fourier components fractal frequency friction grid Gutenberg-Richter law harmonic inﬁnite initial conditions input prompt interaction Ising model Jupiter large number lattice Lennard-Jones potential loop Lorenz model magnetic mat redim molecular dynamics molecules Monte Carlo Monte Carlo method motion neuron obtained orbit oscillator parameters particles pattem pendulum planet plot potential problem protein random numbers random walk reﬂected shown in Figure signal simulation solution spatial speciﬁc spin square step string subroutine temperature trajectory transition True Basic tums variables velocity Verlet method wave function wave packet zero