On the approximation of highly oscillatory Volterra integral equations of the first kind via Laplace transform

DOI10.1016/j.matcom.2023.06.019OpenAlexW4383372016MaRDI QIDQ6047629

No author found.

Publication date: 12 September 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2023.06.019

zbMATH Keywords

BesselLaplace transformVolterra integral equationhighly oscillatory integral

Mathematics Subject Classification ID

Integral equations (45-XX) Numerical analysis (65-XX)

Cites Work

• Differentiation formulas of some hypergeometric functions with respect to all parameters
• Error bounds for approximation in Chebyshev points
• Performance comparison of numerical inversion methods for Laplace and Hankel integral transforms in engineering problems
• Product integration rules for Volterra integral equations of the first kind
• An extension of Clenshaw-Curtis quadrature
• Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind
• On Van der Corput-type lemmas for Bessel and Airy transforms and applications
• The asymptotic approximations to linear weakly singular Volterra integral equations via Laplace transform
• Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis
• Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel
• On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel
• Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel
• Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
• Spectral Methods for Time-Dependent Problems
• Discontinuous Galerkin approximations for Volterra integral equations of the first kind
• Stability and Convergence of Collocation Schemes for Retarded Potential Integral Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities
• On efficient computation of highly oscillatory retarded potential integral equations
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• Volterra integral and differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item