Numerical integration and synchronization for the 3-dimensional metriplectic Volterra system.
Numerical Inversion of the Radon Transform.
Numerical Iterative Filters Applied to First Kind Fredholm Integral Equations.
Numerical linear algebra for nonlinear microwave imaging.
Numerical simulation of a point-source initiated flame ball with heat losses
This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
Numerical simulation of a point-source initiated flame ball with heat losses
This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
Numerical solution of a parabolic equation with a weakly singular positive-type memory term.
Numerical solution of a three-dimensional integral equation
Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule
The Lobatto-Jacobi numerical integration rule can be extended so as to apply to the numerical evaluation of Cauchy type principal value integrals and the numerical solution of singular intergral equations with Cauchy type kernels by reduction to systems of linear equations. To this end, the integrals in such a singular integral equation are replaced by sums, as if they were regular integrals, after the singular integral equation is applied at appropriately selected points of the integration interval....
Numerical solution of generalized Abel integral equations by spline functions
Numerical Solution of Integral Equations, Fast Algorithms and Krein-Sobolev Equation.
Numerical solution of integral equations with finite part integrals.
Numerical solution of the second kind singular Volterra integral equations by modified Navot-Simpson's quadrature.
Numerical Solution of Volterra Integral Equation.
Numerical solutions for second-kind Volterra integral equations by Galerkin methods
In this paper, we study the global convergence for the numerical solutions of nonlinear Volterra integral equations of the second kind by means of Galerkin finite element methods. Global superconvergence properties are discussed by iterated finite element methods and interpolated finite element methods. Local superconvergence and iterative correction schemes are also considered by iterated finite element methods. We improve the corresponding results obtained by collocation methods in the recent...
Numerical Solutions of Integral Equations on the Half Line. I. The Compact Case.
Numerical solutions of the nonlinear integro-differential equations.
Numerical solutions of third kind integral-algebraic equations
Numerical solutions to integral equations equivalent to differential equations with fractional time
This paper presents an approximate method of solving the fractional (in the time variable) equation which describes the processes lying between heat and wave behavior. The approximation consists in the application of a finite subspace of an infinite basis in the time variable (Galerkin method) and discretization in space variables. In the final step, a large-scale system of linear equations with a non-symmetric matrix is solved with the use of the iterative GMRES method.
Numerical solvability of a class of Volterra-Hammerstein integral equations with noncompact kernels.