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| Miranker W.L. — Numerical Methods for Stiff Equations and Singular Perturbation Problems |
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| Предметный указатель |
Regression analysis 13 173
Regular interval 176
Regular point 176
Regular point, discretization at 184
Relatively prime 17
Relaxed equation 103
Remainder, estimate of 116 119
Representer 152
Reproducing kernel 152
Reproducing kernel, space 151
Residual 40
Resolution of identity 59 60 66
Resonance 142 187
Rho polynomial 17 22
Riemann sphere 23
Riesz — Herglotz theorem 26
Robbins — Monro algorithm 173
Root 13
Root of unity 24
Root, condition 17 156 157—159
Rosenbrock method 52—54
Runge — Kutta method 48—53 100
Runge — Kutta process 48—50 52
Runge — Kutta process, elementary differentials for 49
Runge — Kutta process, explicit 50
Runge — Kutta process, implicit 50
Runge — Kutta process, semi-implicit 50 52
Runge — Kutta process, semi-implicit, linearized 53
Scaling 40
Scaling, problem 40
Scheme, best possible 76 87
Scheme, difference 68 79 81
Scheme, most accurate 76 83
Scheme, perturbation 137
Second difference method 137 139
Shift operator 14 62 74
Sigma polynomial 17 22
Simpson’s formula 16
Simpson’s formula, rule 124
Singular perturbation 88—196
Singular perturbation, method 142
Singular perturbation, problem 6 8
Singular perturbation, recurrence relation 164
Singular perturbation, system 6
Singular perturbation, type 6
Slow, changing part 164 168
Slow, wave 149
Solution operator 75
Space 125
Space, Hilbert 152
Space, null 128 133 136
Space, Sobolev 151
Space, sub- 126 128
Space, sub-, cyclic 127
Space, sub-, invariant 36
Spectral representation theorem 3
Spectrum 36 57 61 66 68 139
Spectrum, dichotomous characterization of 36 40
Spline, cardinal 82
Stability 3
Stability,  29—31
Stability, A(0)- 30 31
Stability, A(0)-, explicit method for 31
Stability, A- 19—29 46 52 54 59 60 103
Stability, A-, examples of 24
Stability, A-, sufficient condition for 28
| Stability, absolute 20 70
Stability, absolute, diminished 29—33
Stability, analysis 59 155
Stability, regions 32
Stable 3 156
Stable, functional 149
Stable, half plane 113
Stable, matrix 113 169
Stage, permanent 20
Stage, transitory 20
Starting procedure 15 150
Starting procedure, bounded 15 17
Starting procedure, compatible 16 18
Starting values 15 35
Starting, self 92 96 122
Step number 14
Stiff 4 5 161
Stiff, behavior 9
Stiff, differential equation 1 6
Stiff, mode 100
Stiff, problem 6
Stiff, single equation 20
Stiff, stability 31—33 103
Stiff, system 4 6
Stiff, system, highly oscillatory 73
Stiff, system, linear 20
Stiffness 4—5
Stiffness, matrix 130
Temperature 11
Test equation 21 33 54 57
Thermal decomposition of ozone 10
Time, fast 110 112 168
Time, scale 110 168
Time, slow 110 111 168
Tolerance 42 96 138 141
Tolerance, test 99 100
Training algorithm 12 165—168
Training set 166
Trajectory, limiting 8
Transfer function 69
Transient, behavior 11
Transient, state 34
transistor 10
Transistor, equivalent circuit of 10
Translation number 139 140 141 1
Trapezoidal formula 16 24 26 28 29 31 57
Trapezoidal rule 100
Truncation operator 2 57 74
Tunnel diode 7
Tunnel diode, characteristic 7
Turning point 175 176 188
Turning point, problem 175—193
Two-time expansion 112
Two-time formalism for recurrences 168
Two-time method 112 121
Two-time technique 109
Unstable 34
Unstable functional 149
Vandermonde matrix 130 154
Varying parts, fast 165
Varying parts, slow 165
Vector, cyclic 127
Wave, carrier 179
Wave, equation 80
Wave, slow 149
Weight function 75 79 82
WKB theory 175
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