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Numerical Methods for Solving Two-Point Boundary Value Problems. Differed Correction Schemes, Interpolation, and Conditioning Methods

Формат:      Страниц 212
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Novriana S.    
Книга по Требованию    
3234 руб
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Firstly, we consider deferred correction schemes based on Mono-Implicit Runge-Kutta (MIRK) and Lobatto formulae. The numerical approximation of solutions of ordinary differential equations played an important role in Numerical Analysis and still continues to be an active field of research. Secondly, we construct high order interpolants to provide the continuous extension of the discrete solution. As is to be expected, the scheme based on Lobatto formulae, which are implicit, is more stable than the scheme based on MIRK formulae which are explicit. The estimation of conditioning numbers is also discussed and used to develop mesh selection algorithms which will be appropriate for solving stiff linear and nonlinear boundary value problems. We will focus on the problem of solving singular perturbation problems since this has for many years been a source of difficulty to applied mathematicians, engineers and numerical analysts alike. In this book we are mainly concerned with the numerical solution of the first-order system of nonlinear two-point boundary value problems. It will consider the construction of both explicit and implicit interpolants.
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Хірургічне лікування дегенеративних уражень шийного відділу хребта, які викликають компресію...
Ці питання заслуговують на пильну увагу та потребують подальшого вивчення. Сучасні досягнення науки і техніки дозволяють удосконалювати лікувально-діагностичну тактику з мінімізацією функціональних розладів хребта, спинного мозку та його корінців. Все вищенаведене зумовлює актуальність теми дисертаційного дослідження, необхідність удосконалення розробки методів діагностики та хірургічного лікування радикулопатії, мієлопатії, радикуломієлопатії внаслідок дегенеративного ураження ШВХ з використанням мікрохірургічної техніки з метою максимального збереження функцій спинного мозку та його корінців, впровадження нових стабілізуючих систем, попередження розвитку післяопераційних ускладнень і покращення якості життя хворих. Зв middle age was 47,4 years. hree cli ical groups of compressive damages of spi al cord a d i s cou erfoils, caused by dege era ive defea of cervical spi e were dis i guished: a myelipa hy was fou d ou i 92 (38,5%) pa ie s, radikulopa hy — i 80 (33,5%), radikulomielopa y — i 67 (28%). A volume a d seque ce (ac io algori hm) of mos effec ive diag os ic researches was grou ded. he value of differe ypes of spo dilography i clarifica io of charac er of dege era ive defea of cervical spi e a d i s i ercommu ica io wi h developme of cli ical forms of dege era ive compressio sy drome was proved. he diag os ic value of myelography, KI a d MRI, euromiography were specified. he pa ie s eurological s a e depe di g o charac er of dege era ive compressio sy drome was es ima ed accordi g o he scale of Japa ese Or hopedic Associa io (JOA), ha allowed o ide ify he o al es ima io of mo or a d se si ive disorders, pelvic orga s dysfu c io af er surgical i erfere ce. he selec ed fea ures of surgical rea me of pa ie s wi h he dege era ive defea s of cervical spi e, which caused he compressio of spi al cord a d i s cou erfoils, were ge eralized. he groups of es imo ies o surgical i erfere ce — co cer i g radikulopa hy a d myelopa hy.

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