Generalized quasilinearization method and rapid convergence for first order initial value problems

DOI10.1006/jmaa.1997.5280zbMath0876.65051OpenAlexW2053628888MaRDI QIDQ678713

Juan-Miguel Gracia

Publication date: 11 November 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5280

zbMATH Keywords

convergencemonotone sequencesinitial value problemhyperconvexitygeneralized quasilinearizationhyperconcavity

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (6)

Global non-monotonicity of solutions to nonlinear second-order differential equations ⋮ An improved quasilinearization method for second order nonlinear boundary value problems ⋮ Rapid convergence for telegraph systems with periodic boundary conditions ⋮ Positive non-monotone solutions of second-order delay differential equations ⋮ Peano's theorem for implicit differential equations ⋮ Non-monotonic behavior of one-signed solutions of quasilinear differential equations

Cites Work

• Extension of the method of quasilinearization and rapid convergence
• Further generalization of generalized quasilinearization method
• Methods of nonlinear analysis. Vol. 1
• FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING. II. NONLINEAR DIFFERENTIAL EQUATIONS
• FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING. V. POSITIVITY AND QUASI-LINEARITY
• Improved generalized quasilinearization (GQL) method
• Further improvement of generalized quasilinearization method
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