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- Miljenko Marusic, Mladen Rogina
- Adv. Comput. Math.
- 1996

An error bound for the collocation method by spline in tension is developed for a nonlinear boundary value problem ay" + by' + cy = f( . ,y) , y(0) = yo, y(1) = yj. Sharp error bounds tbr theâ€¦ (More)

- Tina Bosner, Mladen Rogina
- 2006

We propose a knot insertion algorithm for splines that are piecewisely in L{1, x, sin x, cos x}. Since an ECCâ€“system on [0, 2Ï€] in this case does not exist, we construct a CCCâ€“system by choosing theâ€¦ (More)

- Tina Bosner, Mladen Rogina
- Numerical Algorithms
- 2007

We describe explicitly each stage of a numerically stable algorithm for calculating with exponential tension B-splines with non-uniform choice of tension parameters. These splines are piecewisely inâ€¦ (More)

- Tina Bosner, Mladen Rogina
- Adv. Comput. Math.
- 2013

Variable degree polynomial (VDP) splines have recently proved themselves as a valuable tool in obtaining shape preserving approximations. However, some usual properties which one would expect of aâ€¦ (More)

We show that it is possible to construct stable, explicit finite difference approximations for the classical solution of the initial value problem for the parabolic systems of the form âˆ‚tu = A(t,x)uâ€¦ (More)

The object of present analysis are numerical solutions of the elliptic boundary value problems in terms of monotone schemes. We assume that the elliptic differential operator has the divergence form,â€¦ (More)

For a second order differential operator A(x) = âˆ’âˆ‡a(x)âˆ‡+b(x)âˆ‡+âˆ‡ ( b(x) Â· ) on a bounded domain D with the Dirichlet boundary conditions on âˆ‚D there exists the inverse T (Î»,A) = (Î»I + A) in L1(D). Ifâ€¦ (More)

- Ned Zad Limi, Mladen Rogina

A class of numerical methods for ODE which are explicit, absolutely stable, and of any order of convergence, is constructed. Methods can be eeciently applied to those initial value problems for the 2â€¦ (More)

- Mladen Rogina
- 2006

It is an important fact that general families of Chebyshev and L-splines can be locally represented, i.e. there exists a basis of B-splines which spans the entire space. We develop a specialâ€¦ (More)

We develop a technique to calculate with Chebyshev Splines of orders 3 and 4, based on the known derivative formula for Chebyshev splines and an Oslo type algorithm. We assume that splines in theâ€¦ (More)