Iterative Processes and Integral Equations of the Second Kind

DOI10.1007/16618_2023_59OpenAlexW4378697615MaRDI QIDQ6197980

Sanda Micula, Gradimir V. Milovanović

Publication date: 19 February 2024

Published in: Matrix and Operator Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/16618_2023_59

zbMATH Keywords

Volterra integral equationsiterative techniquesVolterra-Fredholm integral equationsmixed Volterra-Fredholm integral equations

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Discrete version of topics in analysis (39A12) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Fredholm integral equations (45B05) Volterra integral equations (45D05) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• Solving nonlinear integral equations of Fredholm type with high order iterative methods
• An iterative numerical method for Fredholm-Volterra integral equations of the second kind
• A method for numerical integration on an automatic computer
• Iterative approximation of fixed points
• On some iterative numerical methods for a Volterra functional integral equation of the second kind
• An iterative numerical method for fractional integral equations of the second kind
• Generalized weighted Birkhoff-Young quadratures with the maximal degree of exactness
• On Newton-Kantorovich method for solving the nonlinear operator equation
• Newton-Kantorovich method and its global convergence
• Numerical Methods in Scientific Computing, Volume I
• Interpolation Processes
• The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
• Iterative Solution of Nonlinear Equations in Several Variables
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• Numerical Quadrature of Analytic and Harmonic Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item