**11**

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**Cosmology on Small Scales 2022: Dark Energy and the Local Hubble Expansion Problem**

Křížek, Michal; Dumin, Y. V.

2022 - English
One hundred years ago, Russian mathematician and physicist Alexander A. Friedmann applied the system of Einstein equations to the three-dimensional sphere with a time varying radius. In this way, he obtained a nonlinear ordinary differential equation which is called the Friedmann equation after him and serves now as a cornerstone of the standard cosmological model. Unfortunately, it is well known that this model exhibits a number of paradoxes. Thus, the main goal of the CSS 2022 Conference Proceedings is to discuss whether and how the Friedmann equation can be applied at the various spatial scales, from our local cosmic neighborhood up to the whole Universe, and if the existence of dark matter and dark energy are merely artifacts of the excessive extrapolations.
Keywords:
*Friedmann equation; dark matter; dark energy; local Hubble expansion*
Fulltext is available at external website.
Cosmology on Small Scales 2022: Dark Energy and the Local Hubble Expansion Problem

One hundred years ago, Russian mathematician and physicist Alexander A. Friedmann applied the system of Einstein equations to the three-dimensional sphere with a time varying radius. In this way, he ...

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**Programs and Algorithms of Numerical Mathematics 20 : Hejnice, June 21-26, 2019 : proceedings of seminar**

Chleboun, J.; Kůs, Pavel; Přikryl, Petr; Rozložník, Miroslav; Segeth, Karel; Šístek, Jakub

2021 - English
This book comprises papers that originated from the invited lectures, survey lectures, short communications, and posters presented at the 20th seminar Programs and Algorithms of Numerical Mathematics (PANM) held in Hejnice, Czech Republic, June 21-26, 2020. All the papers have been peer-reviewed. The seminar was organized by the Institute of Mathematics of the Czech Academy of Sciences under the auspices of EU-MATHS-IN.cz, Czech Network for Mathematics in Industry. The objective of this series of seminars is to provide a forum for presenting and discussing advanced theoretical as well as practical topics in numerical analysis, computer implementation of algorithms, new approaches to mathematical modeling, and single- or multi-processor applications of computational methods.
Keywords:
*numerical mathematics*
Available in digital repository of the ASCR
Programs and Algorithms of Numerical Mathematics 20 : Hejnice, June 21-26, 2019 : proceedings of seminar

This book comprises papers that originated from the invited lectures, survey lectures, short communications, and posters presented at the 20th seminar Programs and Algorithms of Numerical Mathematics ...

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**Cosmology on Small Scales 2020: Excessive extrapolations and selected controversies in cosmology**

Křížek, Michal; Dumin, Y. V.

2020 - English
According to the modern cosmological paradigm, about 2/3 of the energy of the Universe is in dark form and about 5/6 of the matter is invisible. However, numerous recent independent attempts to detect dark-matter particles failed, and a number of other problems with the existence of dark energy and dark matter (such as the anomalous friction in the dark-matter halos of galaxies) become now more and more obvious. All these problems raise the question if the 'dark' substance is merely a result of the use of erroneous assumptions or incorrect models based e.g. on excessive extrapolations. Consequently, it is timely to gather specialists from various branches of astronomy and astrophysics to discuss these questions.
Keywords:
*cosmology*
Fulltext is available at external website.
Cosmology on Small Scales 2020: Excessive extrapolations and selected controversies in cosmology

According to the modern cosmological paradigm, about 2/3 of the energy of the Universe is in dark form and about 5/6 of the matter is invisible. However, numerous recent independent attempts to detect ...

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**Programs and Algorithms of Numerical Mathematics 19 : Hejnice, June 24-29, 2018 : proceedings of seminar**

Chleboun, J.; Kůs, Pavel; Přikryl, Petr; Rozložník, Miroslav; Segeth, Karel; Šístek, Jakub; Vejchodský, Tomáš

2019 - English
These proceedings contain peer-reviewed papers that are based on the invited lectures, survey lectures, short communications, and posters presented at the 19th seminar Programs and Algorithms of Numerical Mathematics (PANM) held in the International Center for Spiritual Rehabilitation, Hejnice, Czech Republic, June 24-29, 2018. The seminar was organized by the Institute of Mathematics of the Czech Academy of Sciences under the auspices of EU-MATHS-IN.cz, Czech Network for Mathematics in Industry, and with the financial support provided by the RSJ Foundation. It continued the previous seminars on mathematical software and numerical methods held (biennially, with only one exception) in Alšovice, Bratříkov, Janov nad Nisou, Kořenov, Lázně Libverda, Dolní Maxov, and Prague in the period 1983-2016. The objective of this series of seminars is to provide a forum for presenting and discussing advanced topics in numerical analysis, computer implementation of numerical algorithms, new approaches to mathematical modeling, and single- or multi-processor applications of computational methods.
Keywords:
*numerical mathematics*
Available in digital repository of the ASCR
Programs and Algorithms of Numerical Mathematics 19 : Hejnice, June 24-29, 2018 : proceedings of seminar

These proceedings contain peer-reviewed papers that are based on the invited lectures, survey lectures, short communications, and posters presented at the 19th seminar Programs and Algorithms of ...

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**Cosmology on Small Scales 2018: Dark Matter Problem and Selected Controversies in Cosmology**

Křížek, Michal; Dumin, Y. V.

2018 - English
According to the standard cosmological model, our Universe needs a significant amount of dark matter, about six times more than that of the usual baryonic matter, besides an even larger amount of dark energy. But to date, both dark matter and dark energy have remained conceptually elusive, without concrete evidence based on direct physical measurements. Yet another subtle issue is that the Friedmann equation – the cornerstone of modern cosmology – was derived from the system of ten Einstein’s equations applied to a perfectly symmetric universe, which is homogeneous\nand isotropic for every fixed time instant. So, the question is whether one can perform such excessive extrapolations and, in particular, at which scale the effect of Hubble expansion is manifested.
Keywords:
*cosmology*
Fulltext is available at external website.
Cosmology on Small Scales 2018: Dark Matter Problem and Selected Controversies in Cosmology

According to the standard cosmological model, our Universe needs a significant amount of dark matter, about six times more than that of the usual baryonic matter, besides an even larger amount of dark ...

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**Programs and Algorithms of Numerical Mathematics 18 : Janov nad Nisou, June 19-24, 2016 : proceedings of seminar**

Chleboun, J.; Kůs, Pavel; Přikryl, Petr; Segeth, Karel; Šístek, Jakub; Vejchodský, Tomáš

2017 - English
This book comprises papers that originated from the invited lectures, survey lectures, short communications, and posters presented at the 18th seminar Programs and Algorithms of Numerical Mathematics (PANM) held in Janov nad Nisou, Czech Republic, June 19-24, 2016. All the papers have been peer-reviewed. The seminar was organized by the Institute of Mathematics of the Czech Academy of Sciences under the auspices of EU-MATHS-IN.cz, Czech Network for Mathematics in Industry. It continued the previous seminars on mathematical software and numerical methods held (biennially, with only one exception) in Al šovice, Bratří kov, Janov nad Nisou, Ko řenov, L ázně Libverda, Dolní Maxov, and Prague in the period 1983-2014. The objective of this series of seminars is to provide a forum for presenting and discussing advanced theoretical as well as practical topics in numerical analysis, computer implementation of algorithms, new approaches to mathematical modeling, and single- or multi-processor applications of computational methods.
Keywords:
*numerical mathematics*
Available in digital repository of the ASCR
Programs and Algorithms of Numerical Mathematics 18 : Janov nad Nisou, June 19-24, 2016 : proceedings of seminar

This book comprises papers that originated from the invited lectures, survey lectures, short communications, and posters presented at the 18th seminar Programs and Algorithms of Numerical Mathematics ...

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**Cosmology on Small Scales 2016: Local Hubble Expansion and Selected Controversies in Cosmology**

Křížek, Michal; Dumin, Y. V.

2016 - English
The problem of cosmological expansion on small scales (e.g., inside planetary systems) has a long history, dating back to the papers (McVittie, 1932, 1933), and quite many researchers dealt with this topic in the subsequent few decades. Although most of them concluded that the Hubble expansion should be strongly suppressed at small distances, there is no commonly-established criterion for such suppression at present. Moreover, some of the widely-used theoretical arguments against the local Hubble expansion contradict each other.
Keywords:
*cosmology*
Fulltext is available at external website.
Cosmology on Small Scales 2016: Local Hubble Expansion and Selected Controversies in Cosmology

The problem of cosmological expansion on small scales (e.g., inside planetary systems) has a long history, dating back to the papers (McVittie, 1932, 1933), and quite many researchers dealt with this ...

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**Programs and Algorithms of Numerical Mathematics 17 : Dolní Maxov, June 8-13, 2014 : Proceedings of Seminar**

Chleboun, J.; Přikryl, Petr; Segeth, Karel; Šístek, Jakub; Vejchodský, Tomáš

2015 - English
This volume comprises peer-reviewed papers that are based on invited lectures, survey lectures, short communications, and posters presented at the 17th seminar Programs and Algorithms of Numerical Mathematics (PANM) held in Dolní Maxov, Czech Republic, June 8–13, 2014. The seminar was organized by the Institute of Mathematics of the Academy of Sciences of the Czech Republic. It continued the previous seminars on mathematical software and numerical methods held (with only one exception) biannually in\nAlšovice, Bratříkov, Janov nad Nisou, Kořenov, Lázně Libverda, Dolní Maxov, and Prague in the period 1983–2012. The objective of this series of seminars is to provide a forum for presenting and discussing advanced topics in numerical analysis, singleor multi-processor applications of computational methods, and new approaches to mathematical modeling.
Keywords:
*numerical mathematics*
Available in digital repository of the ASCR
Programs and Algorithms of Numerical Mathematics 17 : Dolní Maxov, June 8-13, 2014 : Proceedings of Seminar

This volume comprises peer-reviewed papers that are based on invited lectures, survey lectures, short communications, and posters presented at the 17th seminar Programs and Algorithms of Numerical ...

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**Proceedings of the International Conference Applications of Mathematics 2015 : Prague, November 18-21, 2015**

Brandts, J.; Korotov, S.; Křížek, Michal; Segeth, Karel; Šístek, Jakub; Vejchodský, Tomáš

2015 - English
Professors Ivo Babuška, Milan Práger, and Emil Vitásek are renowned experts in numerical analysis and computational methods. Their fruitful scientific careers started in Prague, at the Institute of Mathematics of the Czechoslovak Academy of Sciences (now Czech Academy of Sciences). They collaborated there on various projects including the computational analysis of the construction technology for Orlík Dam. In 1966 they published their joint book entitled Numerical Processes in Differential Equations. It is an honor for the Institute of Mathematics to host a conference on the occasion of their birthdays.
Keywords:
*applications of mathematics*
Available in digital repository of the ASCR
Proceedings of the International Conference Applications of Mathematics 2015 : Prague, November 18-21, 2015

Professors Ivo Babuška, Milan Práger, and Emil Vitásek are renowned experts in numerical analysis and computational methods. Their fruitful scientific careers started in Prague, at the Institute of ...

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**Programs and Algorithms of Numerical Mathematics 15**

Vejchodský, Tomáš; Chleboun, J.; Přikryl, Petr; Segeth, Karel; Šístek, Jakub

2010 - English
The book contains papers presented at the international seminar Programs and algorithms of numerical Mathematics 15 (PANM 15), held in Dolni Maxov, Czech Republic, June 6-11, 2010. It is the fifteen volume in the series of the PANM proceedings. The topics of contributions include numerical methods for fluid flow modelling, the finite element method, a posteriori error estimates, topics from numerical linear atgebra, etc.
Keywords:
*algorithms; numerical mathematics*
Available in digital repository of the ASCR
Programs and Algorithms of Numerical Mathematics 15

The book contains papers presented at the international seminar Programs and algorithms of numerical Mathematics 15 (PANM 15), held in Dolni Maxov, Czech Republic, June 6-11, 2010. It is the fifteen ...

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