Natural Continuous Extensions of Runge-Kutta Methods for Volterra Integrodifferential Equations.
Near-best approximations to the solution of Fredholm integral equation of the second kind
New convergence criteria for the Newton-Kantorovich method and some applications to nonlinear integral equations
Nonlinear unsteady flow problems by multidimensional singular integral representation analysis.
Nonlinear Volterra integral equation of the second kind and biorthogonal systems.
Nouveaux algorithmes performants en théorie du transport
Numerical analysis of the radiosity equation using the collocation method.
Numerical analysis of the two-dimensional thermo-diffusive model for flame propagation
Numerical Analysis of the Weighted Particle Method Applied to the Semiconductor Boltzmann Equation.
Numerical approximation for integral equations.
Numerical approximation of the Preisach model for hysteresis
Numerical Bounds for Inverses of Linear Operators
Numerical computation of a nonlocal double obstacle problem.
Numerical Evaluation of Integrals of Periodic Functions with Cauchy and Poisson Type Kernels.
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 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....