Displaying similar documents to “Rapid convergence of approximate solutions for first order nonlinear boundary value problems.”

Differential Equations in Abstract Cones

Jankowski, Tadeusz (2000)

Serdica Mathematical Journal

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We extend the method of quasilinearization to differential equations in abstract normal cones. Under some assumptions, corresponding monotone iterations converge to the unique solution of our problem and this convergence is superlinear or semi–superlinear

Extended Real-Valued Double Sequence and Its Convergence

Noboru Endou (2015)

Formalized Mathematics

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In this article we introduce the convergence of extended realvalued double sequences [16], [17]. It is similar to our previous articles [15], [10]. In addition, we also prove Fatou’s lemma and the monotone convergence theorem for double sequences.

On a differential-algebraic problem

Anita Dąbrowicz-Tlałka, Tadeusz Jankowski (2000)

Applications of Mathematics

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The method of quasilinearization is a procedure for obtaining approximate solutions of differential equations. In this paper, this technique is applied to a differential-algebraic problem. Under some natural assumptions, monotone sequences converge quadratically to a unique solution of our problem.

Plurisubharmonic functions on compact sets

Rafał Czyż, Lisa Hed, Håkan Persson (2012)

Annales Polonici Mathematici

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Poletsky has introduced a notion of plurisubharmonicity for functions defined on compact sets in ℂⁿ. We show that these functions can be completely characterized in terms of monotone convergence of plurisubharmonic functions defined on neighborhoods of the compact.