Results 231 to 240 of about 22,099 (267)

Numerical stability analysis of numerical methods for volterra integral equations with delay argument

Applied Mathematics and Mechanics, 1995
The stability of \((\rho, \sigma)\)-reducible quadrature methods, applied to the test equation \(y(t)= y_0+ \int^t_0 (py(s)+ qy(s- \tau))ds\), is studied. The results are closely related to stability investigations of linear multistep methods for the delay equation \(y'(t)= py(t)+ qy(t- \tau)\).
Tian, Hongjiong, Kuang, Jiaoxun
openaire   +1 more source

Explicit methods of numerical integration for parabolic equations

Mathematical Models and Computer Simulations, 2011
The principles are considered for the construction of numerical time integration schemes of parabolic equations. An approach is presented based on explicit iterations with Chebyshev parameters, which can be used to construct the schemes of the first and second orders of accuracy.
openaire   +1 more source

A Survey of Numerical Methods for Integral Equations

1979
A brief survey of the existing literature on numerical methods for integral equations is given. Emphasis is placed on equations in one unknown, although it is noted that many methods can be carried over to multidimensional equations as well. Some discussion is presented on the relation of numerical analysis to applications, and areas are delineated for
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Stability analysis of fast numerical methods for Volterra integral equations

2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CAPOBIANCO, Giovanni, D. CONTE, I. DEL PRETE, E. RUSSO   +3 more
openaire   +4 more sources

Numerical Evaluation Methods for Nonlinear Singular Integral Equations

2000
Non-linear singular integral equations are widely used and connected with applications in several field of engineering mechanics like structural analysis, fluid mechanics and aerodynamics. This leads to the necessity to derive solutions for the non-linear singular integral equations arising in applications, by using some approximate and constructive ...
openaire   +1 more source

Numerical Methods for Linear Integral Equations

2023
Abdelwahab Kharab, Ronald B. Guenther
openaire   +1 more source

A Method of Numerical Integration for Trajectories with Variational Equations

AIAA Journal, 1972
A method of numerical integration is described which was developed for the computation of ballistic missile trajectories. But the technique is generally applicable to the initial-value problem for systems of ordinary differential equations. The associated variational equations are integrated simultaneously to provide the sensitivity coefficients of the
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A Collection Method for the Numerical Solution of Integral Equations

SIAM Journal on Numerical Analysis, 1973
Collocation methods for the solution of equations $(I + K)u = z$ in the space $X = C[a,b]$ when K is a compact linear operator in $[X]$ are studied as projections onto subspaces of spline functions...
openaire   +3 more sources

Numerical method for solving fuzzy abel integral equations

2019
In this paper we study the existence and exact solution of fuzzy Abel integral equation of first kind for the fuzzy continuous function. Otherwise solving this equation always isn't simple, we use fuzzy approximation for finding the approximation of the solution. © IDOSI Publications, 2011.
Khorasany M., Khezerloo S., Yildirim A.
openaire   +1 more source

Molecular imaging in oncology: Current impact and future directions

Ca-A Cancer Journal for Clinicians, 2022
Steven P Rowe, Martin G Pomper
exaly