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Bézier form of dual bivariate Bernstein polynomials
(with Pawe³ Keller
and Pawe³ Wo¼ny),
Advances in Computational Mathematics 43 (2017), 777-793
[doi]
[arXiv]
[Abstract]
-
Constrained approximation of rational triangular Bézier surfaces by polynomial triangular
Bézier surfaces
(with Pawe³ Keller
and Pawe³ Wo¼ny),
Numerical Algorithms 75 (2017), 93-111
[doi]
[arXiv]
[Abstract]
-
Degree reduction of composite Bézier curves
(with Przemys³aw Gospodarczyk
and Pawe³ Wo¼ny),
Applied Mathematics and Computation 293 (2017), 40-48
[doi]
[arXiv]
[Abstract]
-
G^{k,l}-constrained multi-degree reduction of Bézier curves
(with
Przemys³aw Gospodarczyk
and
Pawe³ Wo¼ny),
Numerical Algorithms 71 (2016), 121-137 [doi]
[arXiv]
[Abstract]
-
Efficient merging of multiple segments of Bézier curves
(with
Pawe³ Wo¼ny
and
Przemys³aw Gospodarczyk),
Applied Mathematics and Computation 268 (2015), 354-363
[doi]
[arXiv]
[Abstract]
-
Weighted polynomial approximation of rational Bézier curves
(with
Pawe³ Wo¼ny
and
Pawe³ Keller),
techn. report, Feb. 2015 [arXiv]
[Abstract]
-
Structure relations for the bivariate big q-Jacobi polynomials
(with
Pawe³ Wo¼ny and
Rafa³ Nowak),
Applied Mathematics and Computation 219 (2013), 8790-8802
[doi]
[Abstract]
-
Polynomial approximation of rational Bézier curves with constraints
(with
Pawe³ Wo¼ny
and Pawe³ Keller),
Numerical Algorithms 59 (2012), 607-622
[doi]
[Abstract]
*
Here
one can find Maple 8.0 implementation of Algorithm 4.2
-
Bézier representation of the constrained dual Bernstein polynomials
(with
Pawe³ Wo¼ny),
Applied Mathematics and Computation 218 (2011), 4580-4586
[doi]
[Abstract]
-
Multi-degree reduction of tensor product Bézier surfaces with general boundary constrains
(with
Pawe³ Wo¼ny),
Applied Mathematics and Computation 217 (2011), 4596-4611
[doi]
[Abstract]
* Maple 8.0 worksheets containing
implementation of Algorithm 4.4
and
the illustrative material of Section 5
-
Two-variable orthogonal polynomials of big q-Jacobi type
(with
Pawe³ Wo¼ny),
Journal of Computational and Applied Mathematics 233 (2010), 1554-1561 [doi]
[Abstract]
-
Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials
(with
Pawe³ Wo¼ny),
Journal of Computational and Applied Mathematics 235 (2010), 785-804 [doi]
[Abstract]
* Maple 8.0 worksheets containing
implementation of Algorithm 4.7
and
the illustrative material of Section 5
-
Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials
(with
Pawe³ Wo¼ny),
Computer Aided Geometric Design 26 (2009), 566-579 [doi]
[Abstract]
-
Multivariate generalized Bernstein polynomials. Identities for orthogonal polynomials
of two variables (with
Pawe³ Wo¼ny, Iván Area and
Eduardo Godoy),
Numerical Algorithms 49 (2008), 199-220 [doi]
[Abstract]
-
Connections between two-variable Bernstein and Jacobi polynomials on the triangle
(with Pawe³ Wo¼ny),
Journal of Computational and Applied Mathematics 197 (2006), 520-533
[doi]
[Abstract]
-
Dual generalized Bernstein basis
(with
Pawe³ Wo¼ny),
Journal of Approximation Theory 138 (2006), 129-150 [doi]
[Abstract]
-
Generalized Bernstein polynomials
(with
Pawe³ Wo¼ny),
BIT Numerical Mathematics 44 (2004), 63-78 [doi]
[Abstract];
corrected and extended version (May 2009)
-
Formulae relating little q-Jacobi,
q-Hahn and q-Bernstein polynomials:
Application to the q-Bézier curve evaluation
(with
Iván Area,
Eduardo Godoy,
Pawe³ Wo¼ny
and André Ronveaux),
Integral Transforms and Special Functions 15 (2004), 375-385
[doi]
[Abstract]
-
Recurrence relations for the coefficients in series expansions
with respect to semi-classical orthogonal polynomials
(with
Pawe³ Wo¼ny),
Numerical Algorithms 35 (2004), 61-79
[doi]
[Abstract]
-
Construction of recurrences for the coefficients
of expansions in q-classical orthogonal polynomials,
Journal of Computational and Applied Mathematics 153 (2003), 295-309
[Abstract]
-
Representations for the first associated q-classical
orthogonal polynomials, Journal of Computational and Applied Mathematics 150 (2003), 311-327
[Abstract]
-
The hypergeometric functions approach to the connection problem
for the classical orthogonal polynomials, techn. report, Inst. of Computer Sci., Univ. of Wroclaw,
Feb. 1998, rev. Aug. 2003
[doi]
[Abstract]
-
Recurrences for the coefficients of series expansions
with respect to classical orthogonal polynomials,
Applicationes Mathematicae 29 (2002), 97-116
[Abstract]
-
Representations for the parameter derivatives
of the classical orthogonal polynomials,
Rend. Circ. Mat. Palermo, Ser. II, Suppl. 68 (2002),
599-613
[Abstract]
-
Algorithms for construction of recurrence relations for the coefficients
of expansions in series of classical orthogonal polynomials
(with Pawe³ Wo¼ny),
techn. report, Inst. of Computer Sci., Univ. of Wroc³aw,
Feb. 2001
[Abstract]
* Maple procedures:
Jacobi,
Hahn,
little
q-Jacobi
-
Recursion formulae for basic hypergeometric functions,
in Numerical Analysis in the 20th Century,
Vol. I: Approximation Theory, eds. Jet Wimp and Luc Wuytack,
Journal of Computational and Applied Mathematics 121 (2000), 297-312
[Abstract]
-
Recurrence relations for the coefficients of the Fourier series
expansions with respect to q-classical
orthogonal polynomials (with
Eduardo Godoy, Iván Area,
André Ronveaux and Alejandro Zarzo),
Numerical Algorithms 23 (2000), 31-50
[Abstract]
-
Recurrence relations for the connection coefficients
of orthogonal polynomials of a discrete variable
on the lattice x(s)=q^(2s),
Journal of Computational and Applied Mathematics 99 (1998), 275-286
[Abstract]
-
On the fourth-order difference equation
for the associated Meixner polynomials,
Journal of Computational and Applied Mathematics 80 (1997), 351-358
[Abstract]
-
Linearization of product of classical orthogonal polynomials
of a discrete variable
(with Said Belmehdi and André Ronveaux), Applicationes Mathematicae 24 (1997), 445-455
[Abstract]
-
Generalized Watson's summation formula for 3F2(1),
Journal of Computational and Applied Mathematics 86 (1997), 375-386
[Abstract]
-
Recurrence relations for the connection
coefficients of the orthogonal polynomials
of a discrete variable,
Journal of Computational and Applied Mathematics 76 (1996), 213-229
[Abstract]
-
Second-order recurrence relation for the linearization
coefficients of classical orthogonal polynomials,
Journal of Computational and Applied Mathematics 69 (1996), 159-170
[Abstract]
-
Results on the associated classical orthogonal
polynomials, Journal of Computational and Applied Mathematics 65 (1995),
215-231
[Abstract]
-
Constructing recurrence relations
for the Jacobi coefficients, using Maple
(with Jerzy Witkowski),
techn. report, Inst. of Computer Sci., Univ. of Wroc³aw,
Feb. 1995
* Maple procedure
recrel
(last modif. in Feb. 2000)
-
An analytic method for convergence
acceleration of certain hypergeometric series
(with Stefan Paszkowski),
Mathematics of Computation 64 (1995), 691-713
[Abstract]
-
A simple approach to the summation of certain
slowly convergent series, Mathematics of Computation
63 (1994), 741-745
[Abstract]
-
A fast algorithm for the construction of recurrence
relations for modified moments, Applicationes Mathematicae
22 (1994), 359-372
-
Results on the associated Jacobi and
Gegenbauer polynomials,
Journal of Computational and Applied Mathematics 49 (1993), 137-144
[Abstract]
-
Error bounds for a near minimax
polynomial approximation, BIT 33 (1993), 151-157
[
Abstract]
-
Quick construction of recurrence relations for
the Jacobi coefficients,
Journal of Computational and Applied Mathematics 42 (1992), 355-372
[Abstract]
-
Evaluation of Bessel function integrals with algebraic singularities,
Journal of Computational and Applied Mathematics 37 (1991), 101-112
[Abstract]
-
A new approach to the problem of constructing
recurrence relations for the Jacobi coefficients,
Applicationes Mathematicae 21 (1991), 303-326
-
Properties of the polynomials associated with the Jacobi
polynomials, Mathematics of Computation 47 (1986),
669-682 [Abstract]
-
Recurrence relations for the coefficients in Jacobi series
solutions of linear differential equations, SIAM Journal of
Mathematical Analysis 17 (1986), 1037-1052
[Abstract]
-
Recurrence relations for modified moments,
Rev. Técn. Fac. Ingr. Univ. Zulia 8 (1985), 49-60
[Abstract]
-
On the differential-difference properties of the extended
Jacobi polynomials, Mathematics of Computation 44 (1985),
435-441 [Abstract]
-
Recurrence relations for hypergeometric functions of unit
argument, Mathematics of Computation 45 (1985), 521-535;
corr. ibid. 48 (1987), 853
[Abstract]
-
Applications of modified moments in the numerical solution of
the Abel integral equation, Applicationes Mathematicae 18
(1984), 311-317
-
Construction of the lowest order recurrence relation for the
Jacobi coefficients, Applicationes Mathematicae 17 (1983),
655-675
-
Some polynomial projections with finite carrier, Journal of
Approximation Theory 34 (1982), 249-263
-
Construction of a recurrence relation for modified moments,
Journal of Computational and Applied Mathematics 5 (1979),
193-206
-
Properties of some polynomial projections, Journal of Approximation
Theory 27 (1979), 313-328
-
Minimalne operatory rzutowe, Roczniki PTM. Seria III: Matematyka
Stosowana 15 (1979), 25-46
-
A projection connected with the Fourier-Chebyshev operator,
Bull. Acad. Polon. Sci., Ser. Sci. Math. Astr. Phys. 26
(1978), 727-732
-
Construction of a recurrence relation of the lowest order for
coefficients of the Gegenbauer series, Applicationes Mathematicae
15 (1976), 345-396
-
Solving boundary value problems for the biharmonic equation by
the method of summary representation. Algorithm 48,
Applicationes Mathematicae 15 (1976), 397-413
-
Solution of a first-order nonlinear differential equation in
Chebyshev series. Algorithm 47, Applicationes Mathematicae 15
(1976), 251-269
-
Solving systems of linear equations by Sokolov's method.
Algorithm 29, Applicationes Mathematicae
14 (1974), 127-135
-
Application of numerical methods for multipole description of
the electrical field of the heart
(with Józef Jagielski and Jan Mozrzymas),
Control and Cybernetics
3 (1974), 37-49
-
A method for determining optical constants of thin films
(with Ewa Dobierzewska-Mozrzymas and Jan Mozrzymas),
Acta Physica Polonica A41 (1972), 251-257
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