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Garbey M., Kaper H.G. — Asymptotic Analysis and the Numerical Solution of Partial Differential Equations, Vol. 130 |
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Предметный указатель |
Quantum Liouville equation, one-dimensional case 187
Quantum Liouville equation, reduced equation 190
Quantum Liouville equation, scaled form 186
Quantum Liouville equation, unsealed form 185
Quasi geostrophy 142
Quasi-periodic waves 262
Radiation boundary conditions 99
Rankine and Hugoniot condition 79
Reaction-diffusion equations and MAPLE 254
Reaction-diffusion equations with Preuss's method 44
Reaction-diffusion equations, traveling wave solutions 107 108
Recurrence equations 47
Reduce 241
Reduced equation 5 60
Reduced-basis method 114
Runaway, thermal 165
SCRATCHPAD II 241
Semiconductors 186
Separatrix, homoclinic orbit 17
Separatrix, solution as sequence of solitary pulses 27
Separatrix, transition across 17
Series solutions generated with MAPLE 247
Shock in "wrong" place 227
Shock layer 11
Shock with detonation 171
Shock, curved detonation 172
Shock, evolution equation 175
Shock, interaction of singularities 85
Shock, location of 83
Shock, nonstable 228 232
Shock, numerical treatment of 83
Shock, position of 225
Shock, profile 227
Shock, rarefaction combined with 94
Shock, simple 93
Shock, stable 225
Shock, triple point 173
Shock, weakly curved 174
Shooting method 247 251
Singular-perturbation problems for reaction zone 176
Singular-perturbation problems, asymptotic analysis with 33
Singular-perturbation problems, classification 59
Singular-perturbation problems, convection-diffusion equation 47
Slow variation theory, breakdown of 18
Slow variation theory, energy dissipation predicted by 22 23
Slow variation theory, failure near separatrix 22
Sobolev exponent 247 249
Solitary pulses, analysis of 27
Solitary pulses, kinds 26
Sonic flow, axisymmetric bodies 155
Sonic flow, illustration of 145
| Sonic locus 177
Spectral domain decomposition 37
Spin combustion 255
Spinning waves 259
Stability, acoustic 177
Stability, exchange of 262
Stability, neutral 258
standing waves 259
Steepest descent method 101 106
Stieltjes procedure 47 49 50
Sturm comparison theorem 250 251
Symbolic manipulation software 241 242
Taylor series, trial functions with 114
Thermal runaway 165
Thermicity locus 177
Thermo-diffusive model 100 111
Transfer of stability 262
Transition layers 75
Transition region, characteristics of 23
Transition region, illustration of 24
Transition region, matching to 27
Transonic aerodynamics, asymptotics useful with 145
Transonic aerodynamics, coordinates 146
Transonic aerodynamics, small disturbance theory 146—148
Transonic flow, choked 155
Transonic flow, illustration of 148
Transonic flow, two dimensional 155
Traveling waves and bifurcation analysis 259
Traveling waves in cylindrical domains 100
Traveling waves, burnt boundary 109
Traveling waves, numerical methods 110
Traveling waves, planar 107
Traveling waves, wave propagation theory 99
Turning points 5 6 8 9 11
Two-point problems 6 11 13 14
Uniformly propagating plane front 259
Upwinding 5
Velocity, group 101
Verification of conditions, with MAPLE 253
Verification of detonation theory 178
Vertical bifurcations 261
Viscosity, minimum 86 91
Wave equations, nonlinear 217 221
Waves, accelerating 162
Waves, pulsating 259
Waves, quasi-periodic 262
Waves, spinning 259
Waves, standing 259
Waves, traveling 259
Wigner functions 185
Wind tunnel 155
ZND model 173
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