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Lab 1: Nonlinear Root Finding

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Diode Q-Point by Nonlinear Root Finding

  • Problem

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Bisection Method

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Newton-Raphson Method

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Secant Method

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Result Comparison

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Lab 2: Numerical Integration

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Signal Power Estimation

  • Numerical integration is widely used in engineering when an integral cannot be evaluated easily by hand, or when only sampled data are available.

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  • In this lab, we compute the mean-square value of a periodic signal using two classical numerical integration methods:
    • Trapezoidal Rule
    • Simpson's Rule

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Signal Power Estimation

  • Signal
  • Mean-square and RMS

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Trapezoidal Rule

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Simpson’s Rules

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Result Comparison

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Lab 3: ODE Numerical Solution

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Lab 1: 1-DOF Harmonic Forced Vibration

  • Problem
  • From 2nd-order ODE to State-space form

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Explicit Euler Method

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Stability Comparison

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Result Comparison

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Lab 4: 1D Wave Equation

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1D Wave Equation

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Discretization

  • Both derivatives in the equation are second derivatives

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  • The value at the new time level

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