29 episodes

This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization.

Mathematical Methods for Engineers II MIT

    • Podcasts

This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization.

    Lecture 01: Difference Methods for Ordinary Differential Equations

    Lecture 01: Difference Methods for Ordinary Differential Equations

    • 44 min
    Lecture 02: Finite Differences, Accuracy, Stability, Convergence

    Lecture 02: Finite Differences, Accuracy, Stability, Convergence

    • 56 min
    Lecture 03: The One-way Wave Equation and CFL / von Neumann Stability

    Lecture 03: The One-way Wave Equation and CFL / von Neumann Stability

    • 55 min
    Lecture 04: Comparison of Methods for the Wave Equation

    Lecture 04: Comparison of Methods for the Wave Equation

    • 52 min
    Lecture 05: Second-order Wave Equation (including leapfrog)

    Lecture 05: Second-order Wave Equation (including leapfrog)

    • 55 min
    Lecture 06: Wave Profiles, Heat Equation / point source

    Lecture 06: Wave Profiles, Heat Equation / point source

    • 52 min

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