doc. RNDr. Dana Černá, Ph.D.

Výuka pro fakultu přírodovědně-humanitní a pedagogickou

• Numerické metody (NUME)
• Počítačové praktikum (PCP)
• Seminář z numerické matematiky (SN1)
• Seminář z numerické matematiky (SN2)
• Výpočtový software (VSW)
• Wavelety (WAV)
• Základy numerické matematiky (ZNME)

Výuka pro fakultu strojní

• Matematika 3 – Numerická matematika (MA3)

Výuka pro fakultu mechatroniky, informatiky a mezioborových studií

• Matematika 2 (MA2*M)
• Matematika 3 (MA3*M)
• Matematika 4 (MA4*M)

1. HOZMAN, J., HOLČAPEK, M., TICHÝ, T., ČERNÁ, D., KRESTA, A. a VALÁŠEK, R., 2018. Robust Numerical Schemes for Pricing of Selected Options. 1. vyd. Ostrava: VŠB-TU Ostrava. ISBN 978-80-248-4269-1.

1. ČERNÁ, D. a REBOLLO-NEIRA, L., 2021. Construction of wavelet dictionaries for ECG modeling. MethodsX. 2021(8), ISSN 2215-0161.
2. ČERNÁ, D. a FINĚK, V., 2020. Galerkin method with new quadratic spline wavelets for integral and integro-differential equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 363(JAN 2020), 426-443. ISSN 0377-0427.
3. ČERNÁ, D., 2019. Cubic spline wavelets with four vanishing moments on the interval and their applications to option pricing under Kou model. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING. 17(1), ISSN 0219-6913.
4. ČERNÁ, D., 2019. Quadratic Spline Wavelets for Sparse Discretization of Jump-Diffusion Models. Symmetry. 11(8), ISSN 2073-8994.
5. ČERNÁ, D. a REBOLLO-NEIRA, L., 2019. Wavelet based dictionaries for dimensionality reduction of ECG signals. Biomedical Signal Processing and Control. 54(SEP 2019), ISSN 1746-8094.
6. ČERNÁ, D., 2018. Postprocessing Galerkin method using quadratic spline wavelets and its efficiency. Computers & Mathematics with Applications. 75(9), 3186-3200. ISSN 0898-1221.
7. ČERNÁ, D. a FINĚK, V., 2018. Quadratic Spline Wavelets with Short Support Satisfying Homogeneous Boundary Conditions. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. 48(neuvedeno), 15-39. ISSN 1068-9613.
8. FINĚK, V. a ČERNÁ, D., 2017. A diagonal preconditioner for singularly perturbed problems. Boundary Value Problems. 21(1), ISSN 1687-2770.
9. ČERNÁ, D. a FINĚK, V., 2017. Sparse Wavelet Representation of Differential Operators with Piecewise Polynomial Coefficients. Axioms. 6(1), ISSN 2075-1680.
10. FINĚK, V. a ČERNÁ, D., 2016. On a Sparse Representation of an n-Dimensional Laplacian in Wavelet Coordinates. Results in Mathematics. 69(1-2), 225-243. ISSN 1422-6383.
11. ČERNÁ, D. a FINĚK, V., 2015. Wavelet basis of cubic splines on the hypercube satisfying homogeneous boundary conditions. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING. 13(3), ISSN 0219-6913.
12. ČERNÁ, D. a FINĚK, V., 2014. Cubic spline wavelets with short support for fourth-order problems. Applied Mathematics and Computation. 243(September), 44-56. ISSN 0096-3003.
13. ČERNÁ, D. a FINĚK, V., 2014. Quadratic Spline Wavelets with Short Support for Fourth-Order Problems. Results in Mathematics. 66(3-4), 525-540. ISSN 1422-6383.
14. FINĚK, V. a ČERNÁ, D., 2013. Approximate multiplication in adaptive wavelet methods. Central European Journal of Mathematics. 11(5), 972-983. ISSN 1895-1074.
15. ČERNÁ, D. a FINĚK, V., 2012. Cubic spline wavelets with complementary boundary conditions. Applied Mathematics and Computation. 219(4), 1853-1865. ISSN 0096-3003.
16. ČERNÁ, D. a FINĚK, V., 2011. Construction of optimally conditioned cubic spline wavelets on the interval. Advances in Computational mathematics. 34(2), 219-252. ISSN 1019-7168.
17. FINĚK, V., ČERNÁ, D. a NAJZAR, K., 2008. On the exact values of coefficients of coiflets. Central European Journal of Mathematics. 6(1), ISSN 1895-1074.
18. FINĚK, V. a ČERNÁ, D., 2004. On the computation of scaling coefficients of Daubechies‘ wavelets. Central European Journal of Mathematics. 2(3), 399-419. ISSN 1895-1074.

1. HOZMAN, J., ČERNÁ, D., HOLČAPEK, M., TICHÝ, T. a VALÁŠEK, R., 2018. Review of modern numerical methods for a simple vanilla option pricing problem. Ekonomická revue – Central European Review of Economic Issues. 21(1), 21-30. ISSN 1212-3951

1. ČERNÁ, D. a FINĚK, V., 2021. Wavelet-Galerkin Method for Second-Order Integro-Differential Equations on Product Domains. 1. vyd. Switzerland: Springer International Publishing. ISBN 978-3-030-65508-2.

1. ČERNÁ, D., 2022. A Priori Selected Spline-Wavelet Basis for Option Pricing under Black-Scholes and Merton Model. New York: American Institute of Physics Inc.. ISBN 978-073544396-9.
2. ČERNÁ, D., 2022. Wavelet Method for Sensitivity Analysis of European Options under Merton Jump-Diffusion Model. New York: American Institute of Physics Inc.. ISBN 978-073544182-8.
3. ČERNÁ, D., 2021. Wavelet method for option pricing under the two-asset Merton jump-diffusion model. PRAHA: ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS. ISBN 978-80-85823-71-4.
4. HOZMAN, J., TICHÝ, T., ČERNÁ, D. a KRESTA, A., 2019. Review of several numerical approaches to sensitivity measurement of the Black-Scholes option prices. České Budějovice: University of South Bohemia in České Budějovice. ISBN 978-80-7394-760-6.
5. TICHÝ, T., HOZMAN, J., HOLČAPEK, M., ČERNÁ, D. a KRESTA, A., 2018. Comparison of several modern numerical methods for option pricing. MatfyzPress. ISBN 978-80-7378-372-3.
6. ČERNÁ, D. a FINĚK, V., 2018. Valuation of Options under Heston Stochastic Volatility Model Using Wavelets. NEW YORK, USA: IEEE. ISBN 978-1-5386-2820-1.
7. ČERNÁ, D., 2018. Wavelet-Galerkin Method for Option Pricing under a Double Exponential Jump-Diffusion Model. 1. vyd. NEW YORK, USA: IEEE. ISBN 978-1-5386-7500-7.
8. ČERNÁ, D., 2017. Adaptive wavelet method for pricing options under the Stein-Stein stochastic volatility model. 1. vyd. OSTRAVA, CZECH REPUBLIC: VSB-TECH UNIV OSTRAVA.
9. ČERNÁ, D., 2017. Adaptive Wavelet Method for Pricing Two-Asset Asian Options with Floating Strike. Melville: American Institute of Physics. ISBN 978-0-7354-1602-4.
10. ČERNÁ, D., 2017. Wavelet Method for Pricing Options with Stochastic Volatility. Hradec Králové: Univerzita Hradec Králové. ISBN 978-80-7435-678-0.
11. ČERNÁ, D. a FINĚK, V., 2016. Adaptive wavelet method for the Black-Scholes equation of European options. Liberec: TECHNICAL UNIVERSITY LIBEREC, STUDENTSKA 2, LIBEREC, 00000, CZECH REPUBLIC. ISBN 978-80-7494-296-9.
12. ČERNÁ, D., 2016. Numerical Solution of the Black-Scholes Equation Using Cubic Spline Wavelets. Melville: American Institute of Physics. ISBN 978-0-7354-1453-2.
13. ČERNÁ, D., FINĚK, V. a ŠIMŮNKOVÁ, M., 2016. Quantitative Properties of Quadratic Spline Wavelets in Higher Dimensions. Prague: Institute of Mathematics AS CR. ISBN 978-80-85823-64-6.
14. FINĚK, V., ČERNÁ, D. a CVEJNOVÁ, D., 2016. Wavelets based on Hermite cubic splines. MELVILLE, NY 11747-4501 USA: AMER INST PHYSICS. ISBN 978-0-7354-1392-4.

• Krupičková Lenka | diplomová práce | 15.12.2015
  Solving problems in high school math programs
• Kybl Zdeněk | diplomová práce | 15.5.2015
  Applications for the numerical solution of mathematical problems
• Pham Michal | bakalářská práce | 24.4.2014
  Websites for teaching of Differential and integral calculus at high school
• Mádle Pavel | bakalářská práce | 24.4.2014
  Website for teaching of equations and inequalities
• Vraštil Ondřej | bakalářská práce | 20.12.2013
  Websites for teaching of functions at high school
• Krupičková Lenka | bakalářská práce | 26.4.2013
  Websites for teaching of gonimetry and trigonometry