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\r\n\r\nTiberiu Colo\u015fi, Mihail Abrudean, Mihaela-Ligia Ungure\u015fan, Vlad Mure\u015fan<\/b>\r\n\r\nNumerical Simulation of Distributed Parameter Processes<\/u><\/b>\r\n\r\nSpringer Verlag 2013, 340 pages<\/b>\r\n\r\nThe monography \u201cNumerical Simulation of Distributed Parameter Processes\u201d defines, interprets and uses the \u201cmatrix of partial derivatives of the state vector (Mpdx)\u201d with applications for the study of some common categories of engineering, of the processes with distributed and concentrated parameters.\r\n\r\nFor such processes we mainly pursued the elaboration of a unified and systematic method for:\r\n\r\n-The analogical modeling through (Mpdx);<\/b>\r\n\r\n-The numerical simulation through (Mpdx) and Taylor Series.<\/b>\r\n\r\nThe book covers broad categories of processes, formed by systems of partial differential equations (PDE), including systems of ordinary differential equations (ODE), analogically modeled and numerically simulated by (Mpdx).\r\n\r\nThe book includes numerous applications specific for the Systems-Theory, based on (Mpdx), such as parallel, serial and with feed-back connections for the processes defined by PDE. For similar more complex processes based on (Mpdx), having PDE and ODE as components, we have developed control schemes with PID effects, for the propagation phenomena, in continuous media (spaces) or discontinuous ones (chemistry, power system, thermoenergetic, metallurgy) or in electro-mechanics (railway \u2013 traction) and so on.\r\n\r\nThe volume is structures on the following parts, respectively chapters:\r\n\r\nIst PART: PROCESSES WITH LUMPED PARAMETERS<\/b>\r\n\r\nChapter 1.\u00a0Linear processes invariant in time<\/b>\r\n\r\nChapter 2.\u00a0Time varying linear processes<\/b>\r\n\r\nChapter 3.\u00a0Non-linear processes with lumped parameters<\/b>\r\n\r\nIInd PART: PROCESSES WITH DISTRIBUTED PARAMETERS<\/b>\r\n\r\nChapter 4.\u00a0Linear processes with distributed parameters<\/b>\r\n\r\nChapter 5.\u00a0Non-linear processes with distributed parameters<\/b>\r\n\r\nChapter 6.\u00a0Truncation errors of the operator matrix (Mpdx)<\/b>\r\n\r\nIIIrd PART: SIMULATION EXAMPLES<\/b>\r\n\r\nChapter 7.\u00a0Modeling and simulation examples of lumped parameters processes<\/b>\r\n\r\nChapter 8.\u00a0Modeling and simulation examples for distributed parameters\u00a0processes<\/b>\r\n\r\nChapter 9.\u00a0Case studies for establishing the (Mpdx) matrix<\/b>\r\n\r\nChapter 10.\u00a0Partial \u00a0derivative \u00a0equations \u00a0in the Cartesian space<\/b>\r\n\r\nChapter 11.\u00a0Parallel, serial and with feed-back connection, for the processes\u00a0modeled through PDE<\/b>\r\n\r\nChapter 12.\u00a0Control system with distributed and lumped parameters in the\u00a0Cartesian space \u2013cases studies<\/b>\r\n\r\nChapter 13.\u00a0Numerical simulation using partial \u00a0differential equations, for\u00a0propagation and control in discontinuous structures processes<\/b>\r\n\r\nAppendix A1:\u00a0Summary for (Mpdx) matrix<\/b>\r\n\r\nAppendix A2:\u00a0Local-Iterative Linearization Method<\/b>\r\n\r\nAppendix A3:\u00a0Regarding to the Convergence of the Local-Iterative Linearization\u00a0Method<\/b>\r\n\r\nThe work has a purely engineering nature and it has, as a target audience, extremely diverse applicative fields (propagation phenomena, diffusion, hydrodynamics, electro-mechanics) – where the use of (PDE) and (ODE) is justified – and for which the approximated solutions can assure a good compromise between the theoretical rigor and the relative errors cumulated in acceptable or negligible percentages.\r\n\r\nThe authors","protected":false},"excerpt":{"rendered":"Tiberiu Colo\u015fi, Mihail Abrudean, Mihaela-Ligia Ungure\u015fan, Vlad Mure\u015fan Numerical Simulation of Distributed Parameter Processes Springer Verlag 2013, 340 pages The monography \u201cNumerical Simulation of Distributed Parameter Processes\u201d defines, interprets and uses the \u201cmatrix of partial derivatives of the state vector (Mpdx)\u201d with applications for the study of some common categories of engineering, of the processes […]<\/p>\n","protected":false},"author":8,"featured_media":1485,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[87],"tags":[],"class_list":{"0":"post-1484","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-carti-publicate-de-catre-membrii-astr"},"yoast_head":"\n