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Quasilinearization method: Nonperturbative approach to physical problems
Physics of Atomic Nuclei, 2005The general properties of the quasilinearization method (QLM), particularly its fast quadratic convergence, monotonicity, and numerical stability, are analyzed and illustrated on different physical problems. The method approaches the solution of a nonlinear differential equation by approximating the nonlinear terms by a sequence of linear ones and is ...
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An extension of the method of quasilinearization
Journal of Optimization Theory and Applications, 1994Let \(\alpha_ 0\), \(\beta_ 0 \in C^ 1 [J,R]\) be such that \(\alpha_ 0 (t) \leq \beta_ 0 (t)\) on \(J=[0,T]\). Define the closed set \(\Omega = \{(t,u) : \alpha_ 0 (t) \leq u \leq \beta_ 0(t)\), \(t \in J\}\) and consider the initial value problem (1) \(u' = F(t,u)\), \(u(0) = u_ 0\), where \(F(t,u) = f(t,u) + g(t,u) \in C [\Omega, R_ +]\). The author
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Convergence and Accuracy Properties of the Method of Quasilinearization
SIAM Journal on Numerical Analysis, 1983Summary: The paper deals with the method of quasilinearization as applied to the solution of two-point boundary-value (TPBV) problems associated with a system \(y''=f(t,y)\) of second-order differential equations. It is supposed that the equations, linearized about an approximate solution \(y^{(k)}(t)\), are integrated numerically and that the linear ...
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Quasilinearization Methods for Nonlinear Parabolic Equations with Functional Dependence
gmj, 2002Abstract We consider a Cauchy problem for nonlinear parabolic equations with functional dependence. We prove convergence theorems for a general quasilinearization method in two cases: (i) the Hale functional acting only on the unknown function, (ii) including partial derivatives of the unknown function.
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Quasilinearization method applied to multidimensional quantum tunneling
Physical Review A, 1994, Razavy, , Cote
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Quasilinear analytical methods for ΣΔ modulation
1998 Midwest Symposium on Circuits and Systems (Cat. No. 98CB36268), 2002null Hung-Chuan Pai, S. Bibyk
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Adaptive moving grid methods quasilinear parabolic systems
2020ÖZET KUASI-LÎNEER PARABOLİK SİSTEMLER İÇÎN KAYGAN A? YÖNTEMLERİ A1-KHAWAJAH, Ayman Yüksek Lisans Tezi: Matematik Bölümü Tez Yöneticisi: Doç. Dr. Bülent Karasözen Ocak 1989, 80 sah if e Silindirik ve kartezyen koordinat lardaki, parabolik diferansi yel denklem sistemlerinin sayısal çözümleri için kaygan ağ yöntemleri uygulanmıştır.
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Comparison of Multiplier and Quasilinearization Methods
Industrial & Engineering Chemistry Process Design and Development, 1975Alejandro V. Levy, Antonio Montalvo
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Quasilinearization Methods for Proving Inequalities
1993D. S. Mitrinović +2 more
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