New enclosure algorithms for the verified solutions of nonlinear Volterra integral equations

DOI10.1016/j.apm.2010.11.071zbMath1219.65047OpenAlexW2065296034MaRDI QIDQ636538

Juan-Miguel Gracia

Publication date: 28 August 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.11.071

zbMATH Keywords

interval analysisnonlinear integral equationnumerical treatmentsenclosure methodsverified solution

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Algorithms with automatic result verification (65G20)

Cites Work

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• Introductory remarks on reliable engineering computing
• Interval finite elements as a basis for generalized models of uncertainty in engineering mechanics
• Implicitly linear collocation methods for nonlinear Volterra equations
• Efficient control of the dependency problem based on Taylor model methods
• A method for estimating the solution of integral equations encountered in potential theory
• Interval analysis: Theory and applications
• Interval arithmetic on multimedia architectures
• Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations
• Bounds of high quality for first kind Volterra integral equations
• Numerical verification of solutions of periodic integral equations with a singular kernel
• Numerical verification of solutions of Nekrasov's integral equation
• New interval methods for constrained global optimization
• A reliable computational approach for approximate solution of Hammerstein integral equations of mixed type
• Computing narrow inclusions for the solution of integral equations
• Introduction to Interval Analysis
• Verification methods for fredholm integral equations
• On Taylor Model Based Integration of ODEs
• Almost-periodic behavior of solutions of a nonlinear Volterra system.
• Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations

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