Chapter 1 Hyperbolic Partial Differential Equations Chapter 2 Analysis of Finite Difference Schemes Chapter 3 Order of Accuracy of Finite Difference Schemes Chapter 4 Stability for Multistep Schemes Chapter 5 Dissipation and dispersion Chapter 6 Parabolic Partial Differential Equations Chapter 7 Systems of Partial Differential Equations in Higher Dimensions Chapter 8 Second-Order Equations