Results 281 to 290 of about 27,823 (314)
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An exponential method of numerical integration of ordinary differential equations
Communications of the ACM, 1963A formula for numerical integration is prepared, which involves an exponential term. This formula is compared to two standard integration methods, and it is shown that for a large class of differential equations, the exponential formula has superior stability properties for large step sizes.
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Numerical Treatment of Algebraic Integral Equations by Variational Methods
SIAM Journal on Numerical Analysis, 1975This paper describes a generalization of the Ritz–Galerkin method for the numerical calculation of the eigenvalues of operator polynomials. Error estimates are derived for the application of spline functions and finite elements.
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Local Linearization Method for Numerical Integration of Delay Differential Equations
SIAM Journal on Numerical Analysis, 2006The article introduces an integration scheme for delay differential equations (DDEs) based on local linearization. The method as introduced is feasible for systems of DDEs with a finite number of fixed delays (even though, it is likely to be extensible to DDEs with variable or distributed delays). It requires knowledge of the Jacobian of the right-hand-
Juan C. Jiménez +3 more
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An efficient numerical method for solving Abel integral equation
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical Integration of Shell Equations Using the Field Method
Journal of Applied Mechanics, 1974The “field method” for the numerical solution of even-order linear boundary-value problems in ordinary differential equations is formulated. This method converts the boundary-value problem into two successive initial-value problems, which may be solved by standard forward integration techniques.
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An Accurate Numerical Method for Systems of Differentio-Integral Equations
2013A very simple and accurate numerical method which is applicable to systems of differentio-integral equations with quite general boundary conditions has been devised. Although the basic idea of this method stems from the Keller Box method, it solves the problem of systems of differential equations involving integral operators not previously considered ...
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Numerical Methods for Linear Integral Equations
2023Abdelwahab Kharab, Ronald B. Guenther
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Stability analysis of fast numerical methods for Volterra integral equations
2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CAPOBIANCO, Giovanni +3 more
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Numerical solution of integral-algebraic equations for multistep methods
Computational Mathematics and Mathematical Physics, 2012M V Bulatov, Bulatov M V
exaly