Error analysis of the nonlinear multigrid method of the second kind
Error Bounds and Estimates for Eigenvalues of Integral Equations. II.
Error Bounds and Estimates for Eigenvalues of Integral Equations.
Error Bounds for the Approximation of Green's Kernels by Splines.
Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the -space
The Rothe-Galerkin method is used for discretization. The rate of convergence in for the approximate solution of a quasilinear parabolic equation with a Volterra operator on the right-hand side is established.
Error evaluation of approximate solutions for sum-difference equations in two variables.
Estimation of the condition number of a matrix in the direct discretization of the Symm equation on a quasi-uniform grid.
Exact and numerical solutions of Poisson equation for electrostatic potential problems.
Existence and analytic approximation of solutions of Duffing type nonlinear integro-differential equation with integral boundary conditions.
Existence and approximate solutions of nonlinear integral equations.
Existence and uniqueness for non-linear singular integral equations used in fluid mechanics
Non-linear singular integral equations are investigated in connection with some basic applications in two-dimensional fluid mechanics. A general existence and uniqueness analysis is proposed for non-linear singular integral equations defined on a Banach space. Therefore, the non-linear equations are defined over a finite set of contours and the existence of solutions is investigated for two different kinds of equations, the first and the second kind. Moreover, the existence of solutions is further...
Exponential convergence of hp quadrature for integral operators with Gevrey kernels
Galerkin discretizations of integral equations in require the evaluation of integrals where S(1),S(2) are d-simplices and g has a singularity at x = y. We assume that g is Gevrey smooth for xy and satisfies bounds for the derivatives which allow algebraic singularities at x = y. This holds for kernel functions commonly occurring in integral equations. We construct a family of quadrature rules using N function evaluations of g which achieves exponential convergence |I – | ≤C exp(–rNγ) with...
Exponential convergence of hp quadrature for integral operators with Gevrey kernels
Galerkin discretizations of integral equations in require the evaluation of integrals where S(1),S(2) are d-simplices and g has a singularity at x = y. We assume that g is Gevrey smooth for xy and satisfies bounds for the derivatives which allow algebraic singularities at x = y. This holds for kernel functions commonly occurring in integral equations. We construct a family of quadrature rules using N function evaluations of g which achieves exponential convergence |I – | ≤C exp(–rNγ) with...
Extrapolation Method for Fredholm Integral Equations with Non-Smooth Kernels.
Fast methods for the solution of singular integro-differential and differential equations.
Fast multilevel evaluation of smooth radial basis function expansions.
Fast Solution Methods for Fredholm Integral Equations of the Second Kind.
Fast solution of periodic integral equations by GMRES.
Fehlerabschätzung für Eigenwertnäherungen nach der Ersatzkernmethode bei Integralgleichungen.
Finite element investigations for the construction of composite solutions of even-parity transport equation.