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65D05 Interpolation (68 articles)

• Valášek, Jan; Sváček, Petr: Interpolation with restrictions -- role of the boundary conditions and individual restrictions. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 281-292
• Segeth, Karel: Spherical basis function approximation with particular trend functions. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 219-228
• Segeth, Karel: Multivariate smooth interpolation that employs polyharmonic functions. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 140-148
• Breuß, Michael; Kemm, Friedemann; Vogel, Oliver: A Numerical study of Newton interpolation with extremely high degrees. (English). Kybernetika, vol. 54 (2018), issue 2, pp. 279-288
• Kobayashi, Kenta; Tsuchiya, Takuya: Extending Babuška-Aziz's theorem to higher-order Lagrange interpolation. (English). Applications of Mathematics, vol. 61 (2016), issue 2, pp. 121-133
• Segeth, Karel: A particular smooth interpolation that generates splines. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 112-119
• Kučera, Václav: Several notes on the circumradius condition. (English). Applications of Mathematics, vol. 61 (2016), issue 3, pp. 287-298
• Segeth, Karel: Od naměřených dat k jejich matematickému popisu pomocí funkce - a zase zpátky. (Czech) [From measured data to their mathematical description by a function - and back again]. Pokroky matematiky, fyziky a astronomie, vol. 60 (2015), issue 2, pp. 133-147
• Dolejší, Vít: Anisotropic $hp$-adaptive method based on interpolation error estimates in the $H^1$-seminorm. (English). Applications of Mathematics, vol. 60 (2015), issue 6, pp. 597-616
• Segeth, Karel: A note on tension spline. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 217-224
• Kobayashi, Kenta: On the interpolation constants over triangular elements. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 110-124
• Kobayashi, Kenta; Tsuchiya, Takuya: A priori error estimates for Lagrange interpolation on triangles. (English). Applications of Mathematics, vol. 60 (2015), issue 5, pp. 485-499
• Sýkorová, Irena: Some remarks on mixed approximation problem. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 236-241
• Krakowski, Krzysztof; Silva Leite, Fátima: An algorithm based on rolling to generate smooth interpolating curves on ellipsoids. (English). Kybernetika, vol. 50 (2014), issue 4, pp. 544-562
• Segeth, Karel: Smooth approximation spaces based on a periodic system. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 194-199
• Révayová, Martina; Török, Csaba: Reference points based recursive approximation. (English). Kybernetika, vol. 49 (2013), issue 1, pp. 60-72
• Török, Csaba: Reference points based transformation and approximation. (English). Kybernetika, vol. 49 (2013), issue 4, pp. 644-662
• Segeth, Karel: Smooth approximation and its application to some 1D problems. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 243-252
• Segeth, Karel: Smooth approximation of data with applications to interpolating and smoothing. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 181-186
• Apel, Thomas; Sirch, Dieter: $L^2$-error estimates for Dirichlet and Neumann problems on anisotropic finite element meshes. (English). Applications of Mathematics, vol. 56 (2011), issue 2, pp. 177-206
• Crainic, Marius; Crainic, Nicolae: Normal bivariate Birkhoff interpolation schemes and Pell equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 2, pp. 265-272
• Dalík, Josef: Optimal-order quadratic interpolation in vertices of unstructured triangulations. (English). Applications of Mathematics, vol. 53 (2008), issue 6, pp. 547-560
• Dalík, Josef: Local interpolation by a quadratic Lagrange finite element in 1D. (English). Archivum Mathematicum, vol. 42 (2006), issue 2, pp. 103-114
• Crainic, Nicolae: UR Birkhoff interpolation with rectangular sets of derivatives. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 4, pp. 583-590
• Kobza, Jiří: Quartic smoothing splines generalized. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 42 (2003), issue 1, pp. 27-41
• Kobza, Jiří: Cubic splines with minimal norm. (English). Applications of Mathematics, vol. 47 (2002), issue 3, pp. 285-295
• Machalová, Jitka: Optimal interpolatory splines using $B$-spline representation. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 41 (2002), issue 1, pp. 105-118
• Kofroň, Josef; Moravcová, Emílie: Interpolation formulas for functions of exponential type. (English). Applications of Mathematics, vol. 46 (2001), issue 6, pp. 401-417
• Kofroň, Josef: Interpolation operators on the space of holomorphic functions on the unit circle. (English). Applications of Mathematics, vol. 46 (2001), issue 3, pp. 161-189
• Kobza, Jiří: Quartic splines with minimal norms. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 40 (2001), issue 1, pp. 103-124
• Kobza, Jiří: Optimal quadratic interpolatory splines on general knotset. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 39 (2000), issue 1, pp. 73-94
• Kobza, Jiří: Interpolace — vývoj formulace problému a jeho řešení. (Czech) [Interpolation – development of formulation of the problem and its solution]. Pokroky matematiky, fyziky a astronomie, vol. 44 (1999), issue 4, pp. 273-294
• Kobza, Jiří: Optimal polygonal interpolation. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 38 (1999), issue 1, pp. 59-71
• Ženčák, Pavel: Some algorithm for testing convexity of histogram. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 38 (1999), issue 1, pp. 149-163
• Dalík, Josef: Stability of quadratic interpolation polynomials in vertices of triangles without obtuse angles. (English). Archivum Mathematicum, vol. 35 (1999), issue 4, pp. 285-297
• Křížek, Michal; Práger, Milan; Vitásek, Emil: Spolehlivost numerických výpočtů. (Czech) [Reliability of numerical calculations]. Pokroky matematiky, fyziky a astronomie, vol. 42 (1997), issue 1, pp. 8-23
• Kobza, Jiří: Local representations of quartic splines. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 36 (1997), issue 1, pp. 63-78
• Kobza, Jiří; Ženčák, Pavel: Some algorithms for quartic smoothing splines. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 36 (1997), issue 1, pp. 79-94
• Kobza, Jiří: Quartic and biquartic interpolatory splines on simple grid. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 35 (1996), issue 1, pp. 61-72
• Kučera, Radek: Interpolating and smoothing biquadratic spline. (English). Applications of Mathematics, vol. 40 (1995), issue 5, pp. 339-356
• Delvos, Franz-J.: Mean square approximation by optimal periodic interpolation. (English). Applications of Mathematics, vol. 40 (1995), issue 4, pp. 267-283
• Kobza, Jiří: Spline recurrences for quartic splines. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 34 (1995), issue 1, pp. 75-89
• Kobza, Jiří; Mlčák, Jan: Biquadratic spline smoothing mean values. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 33 (1994), issue 1, pp. 51-61
• Kobza, Jiří; Mlčák, Jan: Biquadratic splines interpolating mean values. (English). Applications of Mathematics, vol. 39 (1994), issue 5, pp. 339-356
• Kobza, Jiří: Some algorithm for computing local parameters of quartic interpolatory splines. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 33 (1994), issue 1, pp. 63-73
• Kobza, Jiří: $B$-spline representation of interpolating and smoothing quadratic spline. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 32 (1993), issue 1, pp. 69-79
• Kobza, Jiří: Error estimate for quadratic spline interpolating the first derivatives. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 31 (1992), issue 1, pp. 101-108
• Kobza, Jiří: Quadratic splines smoothing the first derivatives. (English). Applications of Mathematics, vol. 37 (1992), issue 2, pp. 149-156
• Kobza, Jiří; Zápalka, Dušan: Natural and smoothing quadratic spline. (An elementary approach). (English). Applications of Mathematics, vol. 36 (1991), issue 3, pp. 187-204
• Matušů, Josef; Dohnal, Gejza; Matušů, Martin: On one method of numerical integration. (English). Applications of Mathematics, vol. 36 (1991), issue 4, pp. 241-263
• Křížek, Michal: On semiregular families of triangulations and linear interpolation. (English). Applications of Mathematics, vol. 36 (1991), issue 3, pp. 223-232
• Křížková, Jitka: Special curved elements and theitr application [Abstract of thesis]. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 1, pp. 193
• Kobza, Jiří: An algorithm for biparabolic spline. (English). Aplikace matematiky, vol. 32 (1987), issue 5, pp. 401-413
• Matušů, Josef; Novák, Josef: Constructions of interpolation curves from given supporting elements. II. (English). Aplikace matematiky, vol. 31 (1986), issue 2, pp. 141-162
• Matušů, Josef; Novák, Josef: Constructions of interpolation curves from given supporting elements. I. (English). Aplikace matematiky, vol. 30 (1985), issue 6, pp. 435-452
• Ioakimidis, Nikolaos I.: Further convergence results for two quadrature rules for Cauchy type principal value integrals. (English). Aplikace matematiky, vol. 27 (1982), issue 6, pp. 457-466
• Matušů, Josef; Novák, Josef: Über eine elementare Fläche. (German) [On an elementary surface]. Aplikace matematiky, vol. 24 (1979), issue 2, pp. 93-104
• Veselý, Vítězslav: An algorithm for the computation of polynomial splines of odd degree. (English). Kybernetika, vol. 13 (1977), issue 4, pp. (282)-289
• Matušů, Josef; Novák, Josef: Die Idee der Lienhardschen Interpolationsmethode bei der Lösung eines Interpolationsproblems. (German) [The idea of Lienhard's interpolation method in solving an interpolation problem]. Aplikace matematiky, vol. 21 (1976), issue 6, pp. 434-443
• Matušů, Josef; Novák, Josef: Über ein Interpolationsproblem. (German) [On an interpolation problem]. Aplikace matematiky, vol. 21 (1976), issue 2, pp. 92-96
• Ženíšek, A.: Tetrahedral finite $C^{(m)}$-elements. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 189-193
• Fiala, Jiří: An algorithm for Hermite-Birkhoff interpolation. (English). Aplikace matematiky, vol. 18 (1973), issue 3, pp. 167-175
• Kofroň, Josef: Die ableitungsfreien Fehlerabschätzungen von Interpolationsformeln. (German) [Derivative-free error bounds for interpolation formulae]. Aplikace matematiky, vol. 17 (1972), issue 2, pp. 137-152
• Zlámal, Miloš: Curved elements in the finite element method. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 269
• Ženíšek, Alexander: Hermite interpolation on simplexes in the finite element method. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 271-277
• Singh, Raj Kishor: Eberlein integral and polynomial interpolation. (English). Czechoslovak Mathematical Journal, vol. 21 (1971), issue 4, pp. 638-643
• Fiala, Jiří: Interpolation with prescribed values of derivatives instead of function values. (English). Aplikace matematiky, vol. 16 (1971), issue 6, pp. 421-430
• Tauber, Alfred: Die Interpolation durch Bernoulli'sche Funktionen. (German) [Interpolation by Bernoulli functions]. Aktuárské vědy, vol. 3 (1932), issue 4, pp. 145-165