Диссертация (Линейное уравнение Больцмана приближение, методы численного решения прямых задач и задач оптимизации, обобщение), страница 40
Описание файла
Файл "Диссертация" внутри архива находится в папке "Линейное уравнение Больцмана приближение, методы численного решения прямых задач и задач оптимизации, обобщение". PDF-файл из архива "Линейное уравнение Больцмана приближение, методы численного решения прямых задач и задач оптимизации, обобщение", который расположен в категории "". Всё это находится в предмете "физико-математические науки" из Аспирантура и докторантура, которые можно найти в файловом архиве СПбПУ Петра Великого. Не смотря на прямую связь этого архива с СПбПУ Петра Великого, его также можно найти и в других разделах. , а ещё этот архив представляет собой докторскую диссертацию, поэтому ещё представлен в разделе всех диссертаций на соискание учёной степени доктора физико-математических наук.
Просмотр PDF-файла онлайн
Текст 40 страницы из PDF
A. Rukolaine. Regularization of inverse boundary design radiative heat transferproblems. J. Quant. Spectrosc. Radiat. Transfer, 104:171–195, 2007.[234] S. A. Rukolaine. Derivation of the shape gradient of the least-squares objectivefunctional in optimal shape design radiative heat transfer problems. Вопросы математической физики и прикладной математики, с. 168–182. Физико-техническийинститут им. А. Ф. Иоффе, Санкт-Петербург, 2007.[235] S. A.
Rukolaine. The shape gradient of the least-squares objective functional in optimalshape design problems of radiative heat transfer. J. Quant. Spectrosc. Radiat. Transfer,111:2390–2404, 2010.[236] S. A. Rukolaine. The shape gradient of the least-squares objective functional in optimalshape design problems of radiative heat transfer: the general case of a nonconvexdomain. Вопросы математической физики и прикладной математики, с. 161–192. Физико-технический институт им. А. Ф.
Иоффе, Санкт-Петербург, 2010.228[237] S. A. Rukolaine. Derivation of the shape gradient of the least-squares objectivefunctional in optimal shape design problems of radiative heat transfer: the caseof specular-diffuse boundaries and a convex domain. Вопросы математическойфизики и прикладной математики, с. 96–113. Физико-технический институтим. А. Ф. Иоффе, Санкт-Петербург, 2011.[238] S.
A. Rukolaine, A. M. Samsonov. A model of diffusion, based on the equation of theJeffreys type. Proceedings of the International Conference “Days on Diffraction” 2013,St. Petersburg, Russia, 2013, pp 115–130.[239] S. A. Rukolaine, A. M. Samsonov. Local immobilization of particles in mass transferdescribed by a Jeffreys-type equation.
Phys. Rev. E, 88:062116 [15 pp.], 2013.[240] S. A. Rukolaine. Unphysical effects of the dual-phase-lag model of heat conduction.Int. J. Heat Mass Transfer, 78:58–63, 2014.[241] S. A. Rukolaine. Shape optimization of radiant enclosures with specular-diffuse surfacesby means of a random search and gradient minimization. J.
Quant. Spectrosc. Radiat.Transfer, 151:174–191, 2015.[242] S. A. Rukolaine. Linear Boltzmann-like equation, describing non-classical particletransport, and related asymptotic solutions for small mean free paths. arXiv preprintarXiv:1502.05972, 2015.[243] S. A. Rukolaine. Generalized linear Boltzmann equation, describing non-classicalparticle transport, and related asymptotic solutions for small mean free paths. PhysicaA, 450:205–216, 2016.[244] S. A. Rukolaine, O.
I. Chistiakova. Probing the 1 approximation to the linearBoltzmann equation in 3D. Int. J. Heat Mass Transfer, 95:7–14, 2016.[245] M. Sakami, A. Charette. Application of a modified discrete ordinates method to twodimensional enclosures of irregular geometry. J. Quant. Spectrosc. Radiat. Transfer,64:275–298, 2000.[246] M. Sakami, A. Charette, V. Le Dez. Application of the discrete ordinates methodto combined conductive and radiative heat transfer in a two-dimensional complexgeometry. J.
Quant. Spectrosc. Radiat. Transfer, 56:517–533, 1996.[247] M. Sakami, A. Charette, V. Le Dez. Radiative heat transfer in three-dimensionalenclosures of complex geometry by using the discrete ordinates method. J. Quant.Spectrosc. Radiat. Transfer, 59:117–136, 1998.229[248] M. Schäfer, M. Frank, C. D. Levermore. Diffusive corrections to approximations.Multiscale Model.
Simul., 9:1–28, 2011.[249] A. Schuster. Radiation through a foggy atmosphere. Astrophys. J., 21:1–22, 1905.[250] K. Schwarzschild. Equilibrium of the Sun’s atmosphere. Ges. Wiss. Gottingen Nachr.,Math-Phys. Klasse, 1:41–53, 1906.[251] M. R. Shaebani, Z. Sadjadi, I. M. Sokolov, H. Rieger, L. Santen. Anomalous diffusionof self-propelled particles in directed random environments. Phys. Rev. E, 90:030701,2014.[252] N. G.
Shah. New Method of Computation of Radiation Heat Transfer in CombustionChambers. PhD thesis, Imperial College of Science and Technology, University ofLondon, London, 1979.[253] D. A. Smith, R. M. Simmons. Models of motor-assisted transport of intracellularparticles. Biophys. J., 80:45–68, 2001.[254] J. Sokolowski, J.-P. Zolésio. Introduction to Shape Optimization: Shape SensitivityAnalysis. Springer, Berlin, 1992.[255] J.
C. Spall.Introduction to Stochastic Search and Optimization: Estimation,Simulation, and Control. Wiley, Hoboken, 2003.[256] J. Steinacker, E. Thamm, U. Maier. Efficient integration of intensity functions on theunit sphere. J. Quant. Spectrosc. Radiat. Transfer, 56:97–107, 1996.[257] B.
Straughan. Heat Waves. Springer, New York, 2011.[258] Z. Szymanska, M. Parisot, M. Lachowicz. Mathematical modeling of the intracellularprotein dynamics: The importance of active transport along microtubules. J. Theor.Biol., 363:118–128, 2014.[259] J. Y. Tan, L. H. Liu. Inverse geometry design of radiating enclosure filled withparticipating media using meshless method.
Numer. Heat Transfer A, 56:132–152,2009.[260] J. Y. Tan, J. M. Zhao, L. H. Liu. Geometric optimization of a radiation-conductionheating device using meshless method. Int. J. Thermal Sci., 50:1820–1831, 2011.[261] C. P. Thurgood, A. Pollard, H. A. Becker. The quadrature set for the discreteordinates method. J. Heat Transfer, 117:1068–1070, 1995.230[262] J. S. Truelove. Discrete-ordinate solutions of the radiation transport equation. J. HeatTransfer, 109(4):1048–1051, 1987.[263] J. S. Truelove.
Three-dimensional radiation in absorbing-emitting–scattering mediausing the discrete-ordinates approximation. J. Quant. Spectrosc. Radiat. Transfer, 39(1):27–31, 1988.[264] D. Y. Tzou. Macro- to Microscale Heat Transfer: The Lagging Behavior. Taylor &Francis, Washington, 1997.[265] D.
Y. Tzou, J. Xu. Nonequilibrium transport: The lagging behavior. In L. Wang,editor, Advances in Transport Phenomena: 2010, pages 93–170. Springer, Berlin, 2011.[266] V. V. Uchaikin. Anomalous transport equations and their application to fractalwalking. Physica A, 255:65–92, 1998.[267] P. Ván, T. Fülöp.Universality in heat conduction theory: weakly nonlocalthermodynamics. Ann. Phys.
(Berlin), 524:470–478, 2012.[268] V. V. Vesselinov, D. R. Harp. Adaptive hybrid optimization strategy for calibrationand parameter estimation of physical process models. Computers & Geosciences, 49:10–20, 2012.[269] R. Viskanta, M. P. Mengüç. Radiation heat transfer in combustion systems. Prog.Energy Combust. Sci., 13:97–160, 1987.[270] G. M. Viswanathan, M.
G. E. Da Luz, E. P. Raposo, H. E. Stanley. The Physics ofForaging: An Introduction to Random Searches and Biological Encounters. CambridgeUniversity Press, Cambridge, 2011.[271] M. O. Vlad, J. Ross.Systematic derivation of reaction-diffusion equationswith distributed delays and relations to fractional reaction-diffusion equations andhyperbolic transport equations: Application to the theory of Neolithic transition. Phys.Rev. E, 66:061908, 2002.[272] C.
R. Vogel. Computational methods for Inverse Problems. SIAM, Philadelphia, 2002.[273] N. E. Wakil, J.-F. Sacadura. Some improvements of the discrete ordinates methodfor the solution of the radiative transport equation in multidimensional anisotropicallyscattering media. In Developments in Radiative Heat Transfer, volume 203, pages119–127. ASME HTD, 1992.[274] G. H. Weiss. Some applications of persistent random walks and the telegrapher’sequation. Physica A, 311:381–410, 2002.231[275] C.-Y. Wu, B.-T. Liou.
Radiative transfer in a two-layer slab with Fresnel interfaces.J. Quant. Spectrosc. Radiat. Transfer, 56:573–589, 1997.[276] C.-Y. Wu, B.-T. Liou. Discrete-ordinate solutions for radiative transfer in a cylindricalenclosure with Fresnel boundaries. Int. J. Heat Mass Transfer, 40:2467–2475, 1997.[277] C. Xue, H. G. Othmer. Multiscale models of taxis-driven patterning in bacterialpopulations. SIAM J. Appl. Math., 70:133–167, 2009.[278] G. S. Yang, N. Zabaras. An adjoint method for the inverse design of solidificationprocesses with natural convection.
Int. J. Numer. Methods Engineering, 42:1121–1144,1998.[279] G. S. Yang, N. Zabaras. The adjoint method for an inverse design problem in thedirectional solidification of binary alloys. J. Comp. Phys., 140:432–452, 1998.[280] V. S. Yuferev, M. G. Vasil’ev. New approach to solution of the radiant transportequation.
J. Quant. Spectrosc. Radiat. Transfer, 57:753–766, 1997.[281] V. S. Yuferev, O. N. Budenkova, M. G. Vasilyev, S. A. Rukolaine, V. N. Shlegel, Ya. V.Vasiliev, A. I. Zhmakin. Variations of solid-liquid interface in the BGO low thermalgradient Cz growth for diffuse and specular crystal side surface. J. Crystal Growth,253:383–397, 2003.[282] N. Zabaras, G. Z.
Yang. A functional optimization formulation and implementationof an inverse natural convection problem. Comput. Methods Appl. Mech. Eng., 144:245–274, 1997.[283] Z. B. Zabinsky. Stochastic Adaptive Search for Global Optimization. Springer, NewYork, 2003.[284] Y. Zhang. Generalized dual-phase lag bioheat equations based on nonequilibrium heattransfer in living biological tissues.
Int. J. Heat Mass Transfer, 52:4829–4834, 2009..