Nonlinear Analysis, Function Spaces and Applications. Vol. 7
Opic, Bohumír; Rákosník, Jiří
2003 - English
This volume contains six invited lectures presented at the Spring School "Nonlinear Analysis, Function Spaces and Applications VII" held in July 7-12, 2002,in Prague and organized by the Mathematical Institute of the Academy of Sciences of the Czech Republic in collaboration with the Czech University of Agriculture at Prague.
Keywords:
nonlinear analysis; function spaces
Available at various institutes of the ASCR
Nonlinear Analysis, Function Spaces and Applications. Vol. 7
This volume contains six invited lectures presented at the Spring School "Nonlinear Analysis, Function Spaces and Applications VII" held in July 7-12, 2002,in Prague and organized by the Mathematical ...
Smoothness versus Discreteness
Neuman, František
2003 - English
It is shown conditions on derivatives can be expressed in a discrete manner without any requirements on derivatives.
Keywords:
differential equations; decomposition of functions; discretion
Available at various institutes of the ASCR
Smoothness versus Discreteness
It is shown conditions on derivatives can be expressed in a discrete manner without any requirements on derivatives.
Solid geometry in primary school
Roubíček, Filip
2003 - English
The contribution deals with the activity for the development of pupilsďgeometric competences and some results which were obtained by its use. The activity is based on the transformation of representations of a three-dimensional objectand on the communication between pupils.
Keywords:
mathematics education; geometric competence; transformation of representations
Available on request at various institutes of the ASCR
Solid geometry in primary school
The contribution deals with the activity for the development of pupilsďgeometric competences and some results which were obtained by its use. The activity is based on the transformation of ...
Coupling the Worst Scenario Method with Fuzzy Input Data
Chleboun, Jan
2003 - English
Inputs entering a mathematical model are considered uncertain, i.e., they are not given in a crisp form but only within a set of admissible data. The solution to the model is evaluated through a functional (criterion) reflecting a particular feature of the solution, e.g., local temperature, velocity, stress. The higher value, the "worse" solution. The goal of the worst scenario method...
Keywords:
uncertainty; worst scenario; fuzzy set
Available at various institutes of the ASCR
Coupling the Worst Scenario Method with Fuzzy Input Data
Inputs entering a mathematical model are considered uncertain, i.e., they are not given in a crisp form but only within a set of admissible data. The solution to the model is evaluated through a ...
Discretization of smooth systems
Neuman, František
2003 - English
Algebraic structures generated by smooth systems enable us to derive discrete relations, equivalent to the previous ones, without requirements on differentiability.
Keywords:
discretization of smooth systems; algebraic representations
Available at various institutes of the ASCR
Discretization of smooth systems
Algebraic structures generated by smooth systems enable us to derive discrete relations, equivalent to the previous ones, without requirements on differentiability.
Computer modeling of pulsed laser processing of CdZnTe
Černý, R.; Přikryl, Petr; Gatskevich, E.
2003 - English
Computer model of rapid phase transitions in a semiconducting system induced by pulsed laser irradiation is presented. An example of practical application is given and results discussed.
Keywords:
computer modeling; pulsed laser; phase changes
Available at various institutes of the ASCR
Computer modeling of pulsed laser processing of CdZnTe
Computer model of rapid phase transitions in a semiconducting system induced by pulsed laser irradiation is presented. An example of practical application is given and results discussed.
Applications of the Method of Lines to Flow Problems
Segeth, Karel; Šolín, P.
2003 - English
According to the general framework of the method of lines, we split the numerical solution of the nonstationary compressible Euler equations in 1D, 2D and 3D into the three following steps: First, the system of PDE´s is semidiscretized in space. Second the smoothness and Lipschitz continuity of the right-hand-side (RHS) of the arising system of ordinary equations (ODE´s) is analyzed and its solvability is discussed. Third, classical ODE packages ( we use ODEPACK and DDASPK ) are applied to the system of ODE´s. Podle obecného schématu metody přímek rozložíme numerické řešení nestacionárních stlačitelných Eulerových rovnic v 1D, 2D a 3D na následující tři kroky. Především semidiskretizujeme soustavu parciálních diferenciálních rovnic v prostoru. Za druhé, analyzujeme hladkost a lipschitzovskost pravé strany vzniklé soustavy obyčejných diferenciálních rovnic a diskutujeme její řešitelnost. Nakonec použijeme standardní software pro řešení obyčejných diferenciálních rovnic ( speciálně soubory ODEPACK nebo DDASPK ).
Keywords:
compressible Euler equations; method of lines; semi-discrete problem
Available at various institutes of the ASCR
Applications of the Method of Lines to Flow Problems
According to the general framework of the method of lines, we split the numerical solution of the nonstationary compressible Euler equations in 1D, 2D and 3D into the three following steps: First, the ...
Following the path of discovering fractions
Tichá, Marie
2003 - English
Study on possibilites of utilisation translation between modes of representation as a tool for diagnosing in the course of study of images, level of understanding, misunderstanding and obstacles for understanding of the motion of fraction.
Keywords:
math education; modes of representation; diagnostic
Available on request at various institutes of the ASCR
Following the path of discovering fractions
Study on possibilites of utilisation translation between modes of representation as a tool for diagnosing in the course of study of images, level of understanding, misunderstanding and obstacles for ...
3D stationary anisotropic fibre processes: Estimations of the rose of directions
Hlawiczková, M.; Prokešová, M.; Ponížil, P.; Saxl, Ivan
2003 - English
Selected results of stereological analysis of the anisotropy of 3D fibre processes by means of the EM estimator and by the Bayesian approach are presented.
Keywords:
stereological analysis; anisotropy; fibre processes
Available at various institutes of the ASCR
3D stationary anisotropic fibre processes: Estimations of the rose of directions
Selected results of stereological analysis of the anisotropy of 3D fibre processes by means of the EM estimator and by the Bayesian approach are presented.
Internet database of 3D Voronoi tessellations
Ponížil, P.; Saxl, Ivan
2003 - English
A detailed description of the Internet database of the geometric properties ofVoronoi tessellations covering a wide range of situations starting with lattice tilings and ending with locally highly inhomogeneous case generated by Bernoulli cluster and mixed point fields.
Keywords:
lattice tilings; Voronoi tessellations; Bernoulli cluster
Available at various institutes of the ASCR
Internet database of 3D Voronoi tessellations
A detailed description of the Internet database of the geometric properties ofVoronoi tessellations covering a wide range of situations starting with lattice tilings and ending with locally highly ...
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