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2017
1 Dechevski / Dechevsky, Lubomir Todorov; Payne, Kevin R; Popivanov, Nedyu.
Nonexistence of Nontrivial Generalized Solutions for 2-D and 3-D BVPs with Nonlinear Mixed Type Equations. I: Proceedings of the 43rd International Conference Applications of mathematics in Engineering and Economics (AMEE'17), Sozopol, Bulgaria, 8.-13.6, 2017. American Institute of Physics (AIP) 2017 ISBN 978-0-7354-1602-4. s. -
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2016
2 Dechevski / Dechevsky, Lubomir Todorov; Sziebig, Gabor; Korondi, Peter.
Optimizing the automation of an iron ore production line - a case study. Part I: optimal automated logistics. I: 2016 IEEE International Power Electronics and Motion Control Conference (PEMC): proceedings. IEEE conference proceedings 2016 ISBN 978-1-5090-1797-3. s. 735-744
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3 Dechevski / Dechevsky, Lubomir Todorov; Sziebig, Gabor; Korondi, Peter.
Optimizing the automation of an iron ore production line - a case study. Part II: optimal automated quality control. I: 2016 IEEE International Power Electronics and Motion Control Conference (PEMC): proceedings. IEEE conference proceedings 2016 ISBN 978-1-5090-1797-3. s. 746-754
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2014
4 Zanaty, Peter Balint.
Application of Generalized Expo-Rational B-splines in Computer Aided Design and Analysis. : Universitetet i Oslo 2014 Series of dissertations submitted to the Faculty of Mathematics and Natural Sciences, University of Oslo.(1493)
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2013
5 Dechevski, Lubomir T.; Zanaty, Peter Balint.
Beta-function B-spline Smoothing on Triangulations. Proceedings of SPIE, the International Society for Optical Engineering 2013 ;Volum 8650. s. -
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6 Dechevski, Lubomir T.; Zanaty, Peter Balint.
Smooth GERBS, orthogonal systems and energy minimization. I: 39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS AMEE13. American Institute of Physics (AIP) 2013 ISBN 978-07354-1198-2. s. 135-162
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7 Zanaty, Peter Balint; Dechevski, Lubomir T..
On the numerical performance of FEM based on piecewise rational smooth resolutions of unity on triangulations. I: 39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS AMEE13. American Institute of Physics (AIP) 2013 ISBN 978-07354-1198-2. s. 191-203
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2012
8 Bang, Børre; Dechevski, Lubomir T.; Lakså, Arne; Zanaty, Peter Balint.
Blending Functions for Hermite Interpolation by Beta-Function B-Splines on Triangulations. I: Large-Scale Scientific Computing - 8th International Conference, LSSC 2011. Springer 2012 ISBN 978-3-642-29842-4. s. 393-401
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9 Dechevski, Lubomir T..
Interpolation of Wiener Amalgam Spaces and Associated Approximation Theory. I: In Memory of Borislav Bojanov : Proceedings of International Conference of Constructive Theory of Functions, Sozopol, 2010. Marin Drinov Academic Publishing House 2012 ISBN 978-954-322-490-6. s. 403-406
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10 Dechevski, Lubomir T..
Smooth Convex Resolution of Unity on General Partitions of Multidimensional Domains and Multivariate Hermite Interpolation on Scattered Point Sets Using Radial Generalized Expo-Rational B-splines. I: In Memory of Borislav Bojanov : Proceedings of International Conference of Constructive Theory of Functions, Sozopol, 2010. Marin Drinov Academic Publishing House 2012 ISBN 978-954-322-490-6. s. 53-68
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11 Dechevski, Lubomir T.; Bratlie, Jostein; Gundersen, Joakim.
Index Mapping between Tensor-Product Wavelet Bases of Different Number of Variables, and Computing Multivariate Orthogonal Discrete Wavelet Transforms on Graphics Processing Units. I: Large-Scale Scientific Computing - 8th International Conference, LSSC 2011. Springer 2012 ISBN 978-3-642-29842-4. s. 402-410
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12 Dechevski, Lubomir T.; Georgiev, Georgi H..
Interpolation of Curvature and Torsion Using Expo-Rational B-Splines. I: Large-Scale Scientific Computing - 8th International Conference, LSSC 2011. Springer 2012 ISBN 978-3-642-29842-4. s. 411-419
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13 Dechevski, Lubomir T.; Popivanov, Nedyu; Popov, Todor.
Exact Asymptotic Expansion of Singular Solutions for the (2+1)-D Protter Problem. Abstract and Applied Analysis 2012 s. -
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14 Dechevski, Lubomir T.; Uluchev, Rumen.
Hermite Interpolation Using ERBS with Trigonometric Polynomial Local Functions. I: Large-Scale Scientific Computing - 8th International Conference, LSSC 2011. Springer 2012 ISBN 978-3-642-29842-4. s. 420-428
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15 Dechevski, Lubomir T.; Zanaty, Peter Balint.
Triangular Beta-Function B-Spline Finite Elements: Evaluation and Graphical Comparisons. I: Large-Scale Scientific Computing - 8th International Conference, LSSC 2011. Springer 2012 ISBN 978-3-642-29842-4. s. 429-436
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16 Dechevski, Lubomir T.; Zanaty, Peter Balint; Bang, Børre; Lakså, Arne.
Smooth partition of unity with Hermite interpolation: applications to image processing. Proceedings of SPIE, the International Society for Optical Engineering 2012 ;Volum 8295. s. -
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17 Zanaty, Peter Balint; Dechevski, Lubomir T..
Smooth convex partition of unity on uniform triangulations with Hermite interpolation using radial ERBS. I: APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12): Proceedings of the 38th International Conference Applications of Mathematics in Engineering and Economics. American Institute of Physics (AIP) 2012 ISBN 978-0-7354-1111-1. s. 190-198
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2011
18 Dechevski, Lubomir T..
A new Type of Finite Elements over General Partitions of Multidimensional Domains [abstract]. I: The Sixth International Conference on Multiphysics , 15-16 December 2011, Barcelona, Spain [book of abstracts]. : The International Society of Multiphysics 2011 s. 18-18
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19 Dechevski, Lubomir T..
Generalized Expo-Rational B-Splines and Iso-Geometric Analysis [abstract]. I: 8th International Conference on Large-Scale Scientific Computations, LSSC 2011 [book of abstracts]. : Bulgarian Academy of Sciences 2011 s. 33-34
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20 Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Bratlie, Jostein.
Solving Closest-Point Multidimensional Computational Geometric Problems on Graphics Proccesing Units [abstract]. I: 8th International Conference on Large-Scale Scientific Computations, LSSC 2011 [book of abstracts]. : Bulgarian Academy of Sciences 2011 s. -
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21 Dechevski, Lubomir T.; Bang, Børre Egil Johan; Lakså, Arne; Zanaty, Peter Balint.
Multivariate Hermite interpolation on scattered point sets using tensor-product expo-rational B-splines. AIP Conference Proceedings 2011 ;Volum 1410.(1) s. 62-75
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22 Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre Egil Johan; Lakså, Arne; Gundersen, Joakim.
Wavelet-Based Lossless One-and Two-Dimensional Representation of Multidimensional Geometric Data. AIP Conference Proceedings 2011 ;Volum 1410. s. 83-97
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23 Dechevski, Lubomir T.; Bratlie, Jostein; Gundersen, Joakim.
Index Mapping between Tensor-Product Wavelet Bases of Different Number of Variables, and Computing Multivariate Orthogonal Discrete Wavelet Transforms on Graphics [abstract]. I: 8th International Conference on Large-Scale Scientific Computations, LSSC 2011 [book of abstracts]. : Bulgarian Academy of Sciences 2011 s. -
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24 Dechevski, Lubomir T.; Bratlie, Jostein; Gundersen, Joakim.
Mapping Tensor-product Wavelet Bases and GPGPU-computing of DWTs [abstract]. International Conference on Applied Harmonic Analysis and Multiscale Computing; 2011-07-25 - 2011-07-28
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25 Dechevski, Lubomir T.; Georgiev, G.
Hermite Interpolation of Curvature and Torsion using Expo-Rational B-Splines [abstract}. I: 8th International Conference on Large-Scale Scientific Computations, LSSC 2011 [book of abstracts]. : Bulgarian Academy of Sciences 2011 s. -
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26 Dechevski, Lubomir T.; Uluchev, R.
Hermite Interpolation using ERBS with Trigonometric Polynomial Local Functions [abstract]. I: 8th International Conference on Large-Scale Scientific Computations, LSSC 2011 [book of abstracts]. : Bulgarian Academy of Sciences 2011 s. -
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27 Dechevski, Lubomir T.; Zanaty, Peter Balint.
First Instances of Univariate and Tensor‐product Multivariate Generalized Expo‐Rational Finite Elements. AIP Conference Proceedings 2011 ;Volum 1410.(1) s. 128-138
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28 Dechevski, Lubomir T.; Zanaty, Peter Balint.
Triangular Beta-Function B-Spline Finite Elements : Evaluation and Graphical Comparisons [abstract]. I: 8th International Conference on Large-Scale Scientific Computations, LSSC 2011 [book of abstracts]. : Bulgarian Academy of Sciences 2011 s. -
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29 Dechevski, Lubomir T.; Zanaty, Peter Balint; Lakså, Arne; Bang, Børre Egil Johan.
First Instances of Generalized Expo‐Rational Finite Elements on Triangulations. AIP Conference Proceedings 2011 ;Volum 1410.(1) s. 49-61
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30 Kristoffersen, Arnt Roald; Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre Egil Johan.
Comparison between Polynomial, Euler Beta-Function and Expo-Rational B-Spline Bases. AIP Conference Proceedings 2011 s. 98-110
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2010
31 Dechevski, Lubomir; Lakså, Arne; Gundersen, Joakim; Bang, Børre; Kristoffersen, Arnt Roald; Zanaty, Peter Balint.
Vertex-based "marching" algorithms for finding multidimensional geometric intersections. Proceedings of SPIE, the International Society for Optical Engineering 2010 ;Volum 7798. s. -
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32 Dechevski, Lubomir T..
Beta-function B-splines : definition and basic properties. International journal of pure and applied mathematics 2010 ;Volum 65.(3) s. 279-295
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33 Dechevski, Lubomir T..
ERROR ESTIMATES BASED ON FULL DISCRETIZATION OF SEMI-DISCRETE FINITE DIFFERENCE SCHEMES. Comptes Rendus de l'Academie Bulgare des Sciences / Proceedings of the Bulgarian Academy of Sciences 2010 ;Volum 63.(6) s. 849-858
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34 Dechevski, Lubomir T..
Evaluation of Beta-function B-splines . I: Local monomial bases. International journal of pure and applied mathematics 2010 ;Volum 65.(3) s. 297-310
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35 Dechevski, Lubomir T..
Evaluation of Beta-function B-splines . II: Local Bernstein bases. International journal of pure and applied mathematics 2010 ;Volum 65.(3) s. 311-322
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36 Dechevski, Lubomir T..
Evaluation of Beta-function B-splines . III: Global monomial bases. International journal of pure and applied mathematics 2010 ;Volum 65.(3) s. 323-338
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37 Dechevski, Lubomir T..
Matrix-valued polynomial hermite interpolation and the Cauchy-Riesz-Dunford operator integral in the finite-dimensional case. I: Second international conference on application of mathematics in technical and natural sciences, 21-26 June, Sozopol, Bulgaria : book of abstracts. Sozopol, Bulgaria: Euro-American consortium for promoting the application of mathematics in technical and natural sciences 2010 s. 20-20
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38 Dechevski, Lubomir T..
On error estimation for approximation methods involving domain discretization XII: Comparison between estimates in continual and discrete metrics. I: FDM'10: Fifth international conference on finite difference methods : theory and applications : June 28-July 2, 2010, Lozenetz. Rousse, Bulgaria: University of Rousse 2010 s. 5-5
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39 Dechevski, Lubomir T..
Smooth convex resolution of unity and/or scattered-point hermite interpolation by generalized expo-rational B-splines. I: General simply connected covers and partitions. International journal of pure and applied mathematics 2010 ;Volum 65.(4) s. 391-412
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40 Dechevski, Lubomir T..
Smooth convex resolution of unity and/or scattered-point hermite interpolation by generalized expo-rational B-splines. II: Star-shaped covers. International journal of pure and applied mathematics 2010 ;Volum 65.(4) s. 413-460
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41 Dechevski, Lubomir T..
Smooth convex resolution of unity on general partitions of multidimensional domains using generalized expo-rational B-splines, and application to multivariate approximation and Hermite interpolation on scattered point sets. I: Constructive theory of functions : international conference : June 3-10, Sozopol, Bulgaria : Conference programme and abstracts of the talks. Sozopol, Bulgaria: Sofia university, Bulgarian academy of sciences 2010 s. 17-17
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42 Dechevski, Lubomir T.; Bang, Børre Egil Johan; Gundersen, Joakim; Lakså, Arne; Kristoffersen, Arnt Roald.
Solving non-linear systems of equations on graphics processing units. Lecture Notes in Computer Science 2010 (5910) s. 719-729
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43 Dechevski, Lubomir T.; Bang, Børre; Lakså, Arne; Kristoffersen, Arnt R..
Multivariate hermite interpolation in scattered point sets using tensor-product expo-rational B-splines. I: Curves and surfaces : seventh international conference : Avignon, France, June 24-30, 2010 : résumés. Avignon: SMAI-AFA (Association francaise d'appoximation) 2010 s. 5-6
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44 Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre; Gundersen, Joakim.
First instances of a lossless one- and two-dimensional representations of multidimensional geometric data, with applications to GPU-programming. I: 36th international conference : Applications of mathematics in engineering and economics : AMEE '10, June 5-15, Sozopol, Bulgaria : scientific program. Sozopol, Bulgaria: Technical university of Sofia 2010 s. 1-
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45 Dechevski, Lubomir T.; Bratlie, Jostein; Bang, Børre; Lakså, Arne; Gundersen, Joakim.
Wavelet-based lossless one- and two-dimensional representation of multidimensional geometric data. I: Curves and surfaces : seventh international conference : Avignon, France, June 24-30, 2010 : résumés. Avignon: SMAI-AFA (Association francaise d'appoximation) 2010 s. 13-14
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46 Dechevski, Lubomir T.; Gundersen, Joakim; Bang, Børre Egil Johan.
Computing n-variate orthogonal discrete wavelet transforms on graphics processing units. Lecture Notes in Computer Science 2010 (5910) s. 730-737
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47 Dechevski, Lubomir T.; Gundersen, Joakim; Grip, Niklas.
Wavelet compression, data fitting and approximation based on adaptive composition of Lorentz-type thresholding and Besov-type non-threshold shrinkage. Lecture Notes in Computer Science 2010 (5910) s. 738-746
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48 Dechevski, Lubomir T.; Kachkovskiy, Ilya.
Sharp Estimates of the Constants of Equivalence Between Integral Moduli of Smoothness and K-functionals in the Multivariate Case. Constructive approximation 2010 ;Volum 32.(1) s. 77-90
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49 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre Egil Johan; Gundersen, Joakim; Kristoffersen, Arnt Roald; Zanaty, Peter Balint.
Vertex-based "marching" algorithms for finding multidimensional geometric intersections. Proceedings of SPIE, the International Society for Optical Engineering 2010 ;Volum 7798. s. -
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50 Dechevski, Lubomir T.; Lakså, Arne; Bang, Børre; Kristoffersen, Arnt R..
First instances of generalized expo-rational B-splines on triangulations. I: Curves and surfaces : seventh international conference : Avignon, France, June 24-30, 2010 : résumés. Avignon: SMAI-AFA (Association francaise d'appoximation) 2010 s. 45-45
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