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Garbey M., Kaper H.G. — Asymptotic Analysis and the Numerical Solution of Partial Differential Equations, Vol. 130
Garbey M., Kaper H.G. — Asymptotic Analysis and the Numerical Solution of Partial Differential Equations, Vol. 130



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Название: Asymptotic Analysis and the Numerical Solution of Partial Differential Equations, Vol. 130

Авторы: Garbey M., Kaper H.G.

Аннотация:

Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 286

Добавлена в каталог: 10.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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