A smoothed projection method for singular, nonlinear Volterra equations

DOI10.1016/0021-9045(79)90003-0zbMath0405.45008OpenAlexW2087839688MaRDI QIDQ1257191

Bruce Wood, John M. Bownds

Publication date: 1979

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90003-0

zbMATH Keywords

Error EstimatesGalerkin MethodApproximate the SolutionConvolution TypeIntegral SplinesKernel ApproximationsNonlinear Volterra Integral EquationsPositive Convolution OperatorsSingular Monotone KernelsSmooth Kernels

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Theoretical approximation of solutions to integral equations (45L05) Singular nonlinear integral equations (45G05)

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Cites Work

• Degree of \(L_ p-\)approximation by certain positive convolution operators
• A note on solving Volterra integral equations with convolution kernels
• A modified Galerkin approximation method for Volterra equations with smooth kernels
• The approximation of continuous functions by positive linear operators
• On Polya frequency functions. IV: The fundamental spline functions and their limits
• A note on the degree of approximation to continuous functions
• An identity for spline functions with applications to variation diminishing spline approximation
• On the precision of uniform approximation of continuous functions by certain linear positive operators of convolution type
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