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Since Taylor series can be constructed for smooth functions, for the solution of an ordinary differential equation, and for an inverse function, we can approximate certain integrals in various ways by means of such series, in quite an effective manner.

Since Taylor series can be constructed for smooth functions, for the solution of an ordinary differential equation, and for an inverse function, we can approximate certain integrals in various ways by means of such series, in quite an effective manner.

We have proposed an efficient iterative domain decomposition method that solves general convection-diffusion singular perturbation problems. Our specific application involves a piecewise constant diffusion coefficient. We have established sufficient conditions for the convergence of the method, identified suitable values of the relaxation parameter , and started investigations into the rate of convergence. The method was implemented to (2) to solve test problems.

Full details of the proofs of these assertions will appear in a future publication.

Requirements for the safety and nutritional adequacy of infant formula are set by legislation and aim for the best possible substitute for human milk with regard to growth, development and biological effects. This is, however, a continuous process and has to be supported by science-driven innovative activities of manufacturers and be confirmed by adequate clinical studies performed according to agreed standards.

Since Taylor series can be constructed for smooth functions, for the solution of an ordinary differential equation, and for an inverse function, we can approximate certain integrals in various ways by means of such series, in quite an effective manner.

Since Taylor series can be constructed for smooth functions, for the solution of an ordinary differential equation, and for an inverse function, we can approximate certain integrals in various ways by means of such series, in quite an effective manner.

We have proposed an efficient iterative domain decomposition method that solves general convection-diffusion singular perturbation problems. Our specific application involves a piecewise constant diffusion coefficient. We have established sufficient conditions for the convergence of the method, identified suitable values of the relaxation parameter , and started investigations into the rate of convergence. The method was implemented to (2) to solve test problems.

Full details of the proofs of these assertions will appear in a future publication.