Shannon wavelets for the solution of integrodifferential equations.
Smoothed projection methods for the moment problem.
Solution of Fredholm integrodifferential equation for an infinite elastic plate
Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat's functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a new transformation. Some applications are investigated and also some special cases are discussed.
Some limit properties of the best determined terms method
Some possibilities in solving operator equations using non stationary iterative method
Some stochastic properties of the best determined terms method
Spectra of partial integral operators with a kernel of three variables
Let Ω= [a, b] × [c, d] and T 1, T 2 be partial integral operators in (Ω): (T 1 f)(x, y) = k 1(x, s, y)f(s, y)ds, (T 2 f)(x, y) = k 2(x, ts, y)f(t, y)dt where k 1 and k 2 are continuous functions on [a, b] × Ω and Ω × [c, d], respectively. In this paper, concepts of determinants and minors of operators E−τT 1, τ ∈ ℂ and E−τT 2, τ ∈ ℂ are introduced as continuous functions on [a, b] and [c, d], respectively. Here E is the identical operator in C(Ω). In addition, Theorems on the spectra of bounded...
Stability rates for linear ill-posed problems with compact and non-compact operators.
Superconvergence of Piecewise Polynomial Galer kin Approximations for Fredholm Integral Equations of the Second Kind.