 ,  5
 31
 31
 32
Accuracy, exact order of 70 110 143
Accuracy, order of 63 65 70
Besov space, definition 31
Besov space, norm 31 32 39
Carlson — Beurling lemma 18
Characteristic function of finite difference operator 60
Consistency 55 60
Crank — Nicholson scheme 62
Dissipation, exact order of 136
Dissipation, order of 103
Embedding results 33 34 37
Explicit finite difference scheme 59
Fourier multiplier 7
Fourier transform 5
Heat equation 53 68
Implicit finite difference scheme 59
| Interpolation of Besov spaces 47 48
Inverse Fourier transform 5
Inverse results 76ff 111 142ff
Lax — Wendroff scheme 101 114
Multiplier 7
Pade approximation 62
Parabolic semi-discrete problem 70
Parseval's formula 5
Periodic multiplier 19ff
Riesz — Thorin interpolation theorem 11
Schroedinger equation 53 132
Semi-linear hyperbolic equation 113ff
Smoothing operator 85
Sobolev space 17
Stability 60
Symbol 7
Symmetric hyperbolic system 91
van der Corput's lemma 2k
Well posed initial value problem 52
Well posed semi-discrete initial value problem 57
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