Titlebook: Constructive Methods for the Practical Treatment of Integral Equations; Proceedings of the C G. H?mmerlin,K.-H. Hoffmann Conference proceed

Cervical-Spine

Infect

Inclusion of Regular and Singular Solutions of Certain Types of Integral Equations,composible” in the sense of J. Schroder. We suppose, one has calculated, for instance with an iteration procedure an interval J = [v.,w.]which contains under certain conditions at least one solution u Schauders fixed point theorem. This is in many cases the only easily calculable possibility of an i

ineffectual

excursion

Beyond Superconvergence of Collocation Methods for Volterra Integral Equations of the First Kind,re used, then convergence of order p + 2 is best possible. We show here that one may perform some postprocessing on the collocation solution to obtain convergence of order p + 3. This possibility arises because of the oscillating error in the collocation solution. The relevance of superconvergence t

叫喊

Optimal Discrepancy Principles for the Tikh0n0v Regularization of Integral Equations of the First Kon” of(1.1) Tx = y,i.e., the unique element that has minimal norm among all minimizers of the residual |Tx-y|. The best-approximate solution is actually given by T?y where T is the Moore-Penrose generalized inverse of T (see e.g. [15], [7]).

意外

burnish

Integral Treatment of O.D.E with Splines,SCALZO and TALBOT, G. MICULA, [7] presented a spline method for approximating the solution of y’=f(x,y) with y’ abscent. Recently, TH. FAWZY.[1]–[4] introduced several local spline methods, using g splines and non-polynomial splines, for approximating the solution of some initial value problems.

disciplined

高歌

The Design of Acoustic Torpedos,its axis of symmetry. In the case of an acoustic torpedo (one which is guided by the noise emitted by the target) this is especially important since low pressures tend to cause cavitation thus producing noise which may interfere with the homing mechanism. An acoustic torpedo has a flat nose to accom

未開化

On the Condition Number of Boundary Integral Equations in Acoustic Scattering using Combined Doubleme-harmonic acoustic scattering, can be resolved by seeking the solutions in the form of a combined double- and single-layer potential. We present an outline of an analysis of the appropriate choice of the coupling parameter in order to minimize the condition number of the integral equations.