Contents
Series Preface
Preface
1 Introduction
1.1 Partial Differential Equations-Some Basics .
1.1.1 First-Order Hyperbolic Equations
1.1 .2 Linear Second-Order Equations
in Two Independent Variables ..
1.2.1 Hyperbolic Equations
.
1.2.2 Filtered Equations . . . . . . . . . .
1.3 Strategies for Numerical Approximation . . .
1.3.1 Approximating Calculus with Algebra
1.3.2 Marehing Schemes
Problems
.
2.3
2.2.1 2.2.1 The The Energy Energy M Method ethod . .
2.2 2.2.2 .2 Von Von Neumann Neumann' 's s Method Method
2.2.3 2.2.3 The The C Co ou ur ra an nt t- -F Fr re ed dr ri ic ch hs s- -L Le ew wy y Co Condition ndition . .
Time-Differencing.. . . .. .. . . . . . . .
2.3.1 The Oscillation Equation: Phase-Speed
and Amplitude Error . . . . . . . . . .
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