We consider approximations to the solutions of differential Riccati equations in the context of linear quadratic regulator problems, where the state equation is governed by a multiscale operator. Similarly to elliptic and parabolic problems, standard finite element discretizations perform poorly in this setting unless the grid resolves the fine-scale features of the problem. This results in unfeas

We consider operator-valued differential Lyapunov and Riccati equations, where the operators B and C may be relatively unbounded with respect to A (in the standard notation). In this setting, we prove that the singular values of the solutions decay fast under certain conditions. In fact, the decay is exponential in the negative square root if A generates an analytic semigroup and the range of C ha

We consider differential Lyapunov and Riccati equations, and generalized versions thereof. Such equations arise in many different areas and are especially important within the field of optimal control. In order to approximate their solution, one may use several different kinds of numerical methods. Of these, splitting schemes are often a very competitive choice. In this article, we investigate the

Major migration events in Holocene Eurasia have been characterized genetically at broad regional scales1–4. However, insights into the population dynamics in the contact zones are hampered by a lack of ancient genomic data sampled at high spatiotemporal resolution5–7. Here, to address this, we analysed shotgun-sequenced genomes from 100 skeletons spanning 7,300 years of the Mesolithic period, Neol

Forest ecosystems play a crucial role in the production and protection of economic, social, and environmental values. To understand current challenges and trajectories shaping future strategies within the Nordic forest sector, it is important to map and trace past and present policy and governance developments. The core contribution of this short communication is to present an open-access database

Western Eurasia witnessed several large-scale human migrations during the Holocene1–5. Here, to investigate the cross-continental effects of these migrations, we shotgun-sequenced 317 genomes—mainly from the Mesolithic and Neolithic periods—from across northern and western Eurasia. These were imputed alongside published data to obtain diploid genotypes from more than 1,600 ancient humans. Our anal

Med anledning av att två kulturinstitutioner – Världskulturmuseet i Göteborg och Halmstads konsthall – visade utställningar med speltema under sommaren 2023, såg Hedvig Jalhed och Mattias Rylander anledning att reflektera över spelens status i förhållande till konst och kultur av idag. Centralt i deras betraktelse är synen på agens i lek och spel, samt ludik som konstform. Med utgångspunkt i de bä

Armlängds avstånd och konstnärlig frihet är centrala begrepp i svensk kulturpolitik och -förvaltning. I denna artikel resonerar Hedvig Jalhed kring begreppen negativ och positiv frihet i förhållande till konstnärlig verksamhet. Hon problematiserar konstnärers möjlighet till inflytande över varandra och anknyter till Camille Paglias teori om konstnärlig kanon som något som istället för att etablera

Global solar radiation (GSR) prediction capability with a reliable model and high accuracy is crucial for comprehending hydrological and meteorological systems. It is vital for the production of renewable and clean energy. This research aims to evaluate the performance of combined variational mode decomposition (VMD) with a multi-functional recurrent fuzzy neural network (MFRFNN) and quantile regr

With the incorporation of the State Administration for Religious Affairs (SARA) into the Chinese Communist Party’s (CCP) United Front Work Department in 2018, religious affairs have been brought back into the direct control of the Party. While SARA has retained its name, it is no longer an independent state agency. Five further legal measures were introduced from 2019 to 2021. This review essay ex

The main aim of this article is to develop a discussion on folklorization or how identity is commodified and reduced to only some cultural traits. Currently, folklorization is one of the main devices in PRC’s cultural and political policies in Central Asia. Authors analyze folklorization both inter-state with a particular focus on Kazakhstan and Kyrgyzstan, and intra-state, with focus on Xinjiang,

Policies introduced by the Chinese government in the name of fighting terrorism, religious extremism and separatism have significantly reshaped the Xinjiang Uyghur Autonomous Region (XUAR)–even though securitization has not brought the ‘stability’ that the PRC government claims in its continuous defense of its policies. Analysis of Chinese legal documents can provide a clearer picture of the gover

For this study we analyzed more than one thousand Japanese company and brand names. We selected those available in China and analyzed the mode of adaptation into Chinese. We decided to utilize six different categories and seven subcategories to differentiate and evaluate the strategies various Japanese companies use to make their brand name more suitable and understandable for Chinese consumers. T

This work focuses on the development of high temperature polymer electrolyte membranes (HT-PEMs) as key materials for HT-PEM fuel cells (HT-PEMFCs). Recognizing the challenges associated with the phosphoric acid (PA) doped polybenzimidazole (PBI) membranes, including the use of carcinogenic monomers and complex synthesis procedures, this study aims to develop more cost-effective, readily synthesiz

The current situation of Uyghurs in the Xinjiang Uyghur Autonomous Region (XUAR) is considered by many as one of the most pressing human rights violations of the last few decades. The Uyghurs, being an ethnic minority in China, are voiceless under the current political leadership, which suppresses anything deviating from the official course set up by the Party leaders in Beijing. The legal guarant