Factorization of operators. II: A nonlinear Volterra method for numerical solution of linear Fredholm equations

DOI10.1016/S0022-0000(70)80003-4zbMath0212.18103OpenAlexW2051622719MaRDI QIDQ2544523

Alan Schumitzky, Alex McNabb

Publication date: 1970

Published in: Journal of Computer and System Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0000(70)80003-4

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) (Semi-) Fredholm operators; index theories (47A53) Fredholm integral equations (45B05)

Related Items

Factorization and imbedding for general linear boundary value problems, The conversion of Fredholm integral equations to equivalent Cauchy problems, The conversion of Fredholm integral equations to equivalent Cauchy problems. II: Computation of resolvents, Optimal feedback control of infinite dimensional linear system with applications to hereditary problems, Factorization of operators. I: Algebraic theory and examples, Factorization of operators III: initial value methods for linear two- point boundary value problems, Initial value method for linear boundary value problems, Imbedding of nonlinear integral equations

Cites Work

• On the equivalence between matrix Riccati equations and Fredholm resolvents
• Factorization of operators. I: Algebraic theory and examples
• Factorization of operators III: initial value methods for linear two- point boundary value problems
• INVARIANT IMBEDDING AND THE REDUCTION OF TWO-POINT BOUNDARY VALUE PROBLEMS TO INITIAL VALUE PROBLEMS
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• On the factorization of operators in Hilbert space
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