@article{65631,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>
                    Mathematics textbooks used to be the key resource for students’ self-regulated learning of mathematics. Primarily due to the digitalization of society, students have potentially greater access to a wider range of resources such as internet search engines, learning platforms, educational videos, and Generative AI. This study investigates the role of the mathematics textbook in comparison to other resources within students’ self-regulated learning practices. Data were collected via a survey of 1101 German secondary students, representing three school types (
                    <jats:italic>Gymnasium</jats:italic>
                    ,
                    <jats:italic>Gesamtschule</jats:italic>
                    ,
                    <jats:italic>Realschule</jats:italic>
                    ) and three grade levels (6, 9, and upper secondary). The questionnaire assessed the frequency of resource use in and outside class, reasons and purposes of use, and resource-based strategies when facing learning challenges outside class. Results show that the printed mathematics textbook is the most frequently used resource both in class and outside class. The textbook remains the most relevant resource for key purposes, such as an aid for doing homework and preparing for tests and exams. However, its dominance diminishes with age: in upper secondary school, students increasingly rely on self-created notes, and online resources. Correlation analyses reveal moderate to strong links between in-class and out-of-class use, suggesting an association between resource use and classroom culture. The findings underscore the textbook’s enduring centrality as a foundational, trusted resource within a dynamic and increasingly diverse learning environment. This study calls for pedagogical approaches that integrate textbooks more intentionally within broader resource systems, supporting students’ agency and strategic resource selection in an era of digital abundance.
                  </jats:p>}},
  author       = {{Stallmeister, Lea and Rezat, Sebastian}},
  issn         = {{0013-1954}},
  journal      = {{Educational Studies in Mathematics}},
  keywords     = {{mathematics, textbooks, userstudy, resources, digital resources, students, secondary eduction}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{The role of the mathematics textbook in times of resource diversity}}},
  doi          = {{10.1007/s10649-026-10511-7}},
  year         = {{2026}},
}

@article{65242,
  abstract     = {{With the growing demand for lightweight solutions to reduce emissions, especially in the transportation, automotive and aerospace sectors, recyclable, continuous fiber-reinforced plastic composite laminates with a thermoplastic matrix are of rising interest. To achieve their maximum mechanical properties, the fiber-matrix adhesion (FMA) is critical. In this work, continuous fiber-reinforced thermoplastic laminates (CFRTPL) with a polypropylene (PP) matrix and twill woven glass fiber fabrics are produced by film stacking. The films used contain different amounts of maleic-anhydride-grafted PP (MA-g-PP) as a coupling agent to produce CFRTPL of different mechanical strengths. To analyze the FMA, the CFRTPL are subjected to Charpy-impact and tensile tests. Additionally, single fiber pull-out tests (SFPT) are conducted to further investigate the effect of MA-g-PP on the FMA. The results of the SFPT show an improvement in apparent interfacial shear strength (AIFSS) when the MA-g-PP content is increased, which can be attributed to an increase in FMA. However, the research shows that MA-g-PP has a low impact on the mechanical properties if the force is applied parallel to the warp and weft threads during tensile testing and the results of the Charpy-impact testing suffer from embrittlement of the matrix material. Subsequently, the results of this study are compared to three-point flexural tests conducted in a previous study. It can be concluded that tensile and impact tests are not suited to investigate FMA on a macroscopic scale, while SFPT and flexural tests provide a better alternative.}},
  author       = {{Moritzer, Elmar and Brandes, Philipp and Wittler, Maurice and Claes, Leander and Wippermann, Mareen and Haag, Markus and Gries, Thomas and Henning, Bernd}},
  issn         = {{0930-777X}},
  journal      = {{International Polymer Processing}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Fiber-matrix adhesion in glass fiber reinforced thermoplastic composite laminates and its effect on mechanical properties}}},
  doi          = {{10.1515/ipp-2025-0077}},
  year         = {{2026}},
}

@article{65630,
  abstract     = {{Mathematics textbooks used to be the key resource for students’ self-regulated learning of mathematics. Primarily due to the digitalization of society, students have potentially greater access to a wider range of resources such as internet search engines, learning platforms, educational videos, and Generative AI. This study investigates the role of the mathematics textbook in comparison to other resources within students’ self-regulated learning practices. Data were collected via a survey of 1101 German secondary students, representing three school types (Gymnasium, Gesamtschule, Realschule) and three grade levels (6, 9, and upper secondary). The questionnaire assessed the frequency of resource use in and outside class, reasons and purposes of use, and resource-based strategies when facing learning challenges outside class. Results show that the printed mathematics textbook is the most frequently used resource both in class and outside class. The textbook remains the most relevant resource for key purposes, such as an aid for doing homework and preparing for tests and exams. However, its dominance diminishes with age: in upper secondary school, students increasingly rely on self-created notes, and online resources. Correlation analyses reveal moderate to strong links between in-class and out-of-class use, suggesting an association between resource use and classroom culture. The findings underscore the textbook’s enduring centrality as a foundational, trusted resource within a dynamic and increasingly diverse learning environment. This study calls for pedagogical approaches that integrate textbooks more intentionally within broader resource systems, supporting students’ agency and strategic resource selection in an era of digital abundance.}},
  author       = {{Stallmeister, Lea and Rezat, Sebastian}},
  journal      = {{Educational Studies in Mathematics}},
  publisher    = {{Springer}},
  title        = {{{The role of the mathematics textbook in times of resource diversity}}},
  doi          = {{10.1007/s10649-026-10511-7}},
  year         = {{2026}},
}

@article{65659,
  abstract     = {{Over the past decades, nanoparticulate drug carrier systems have emerged as promising tools in medicine. A persistent challenge in current pharmacotherapy is the limited selectivity of active pharmaceutical ingredients, resulting in undesirable side effects. Smart drug delivery systems, which release encapsulated active pharmaceutical ingredients in response to specific stimuli, offer a potential solution by enabling controlled drug release. This approach can be particularly relevant for exploiting biochemical differences between extracellular and intracellular environments. In this study, self-immolative polydisulfide based polymers manufactured from dithiothreitol were processed into nanoparticle formulations to respond preferentially to elevated glutathione levels, which are characteristic of intracellular environments and are often increased in tumor cells. The influence of polymer chain length on the physicochemical properties of the resulting nanoparticles was investigated. Lumogen® Red was incorporated as a model substance to determine the loading capacity of the carrier system. Degradation was characterized using dynamic light scattering and asymmetric flow field-flow fractionation, as well as by imaging techniques such as atomic force microscopy. Selective release of the embedded substance was demonstrated at elevated glutathione concentrations, while no significant release was observed at extracellularly relevant levels (10 µM glutathione), where the behavior was comparable to the buffer control. Increased release was observed under intracellularly relevant conditions (2 – 10 mM glutathione). These findings support a redox-responsive behavior under intracellular-like conditions. The latter was proven for primary fibroblasts and the cancer cell lines BT-474, MCF-7 and SK-BR-3 by quantification of intracellular low molecular weight thiols. The nanoparticle uptake was confirmed in the investigated cell lines by visualization via confocal laser scanning microscopy. Via lysosomal staining it was shown that nanoparticles accumulate in lysosomes. Furthermore, the carrier system itself showed no cytotoxic properties in cell culture studies against the four different cell types. The developed system is a suitable and very promising smart drug delivery system in the context of controlled drug release.}},
  author       = {{Kramer, Maurice and Horky, Corinna and Völlmecke, Katharina and Mulac-Hahnen, Dennis and Herrmann, Fabian and Kuckling, Dirk and Langer, Klaus}},
  issn         = {{2949-8295}},
  journal      = {{Next Nanotechnology}},
  keywords     = {{Nanoparticles, Smart drug delivery, Controlled release, Self-immolative polymers, Tumor targeting}},
  publisher    = {{Elsevier BV}},
  title        = {{{Smart drug delivery systems for potential targeted cancer therapy: Exploiting increased glutathione levels in tumor microenvironments}}},
  doi          = {{10.1016/j.nxnano.2026.100510}},
  volume       = {{9}},
  year         = {{2026}},
}

@article{65665,
  author       = {{Ahmadi, Mehdi and Schlosser, Florian and Divkovic, Denis and Meschede, Henning}},
  issn         = {{2590-1745}},
  journal      = {{Energy Conversion and Management: X}},
  publisher    = {{Elsevier BV}},
  title        = {{{Cost-effective and low-carbon cooling strategies for data centers integrated into wind turbine towers}}},
  doi          = {{10.1016/j.ecmx.2026.101930}},
  volume       = {{31}},
  year         = {{2026}},
}

@inbook{65670,
  abstract     = {{Ensuring the veracity of assertions is {vital for building reliable and consistent knowledge graphs}. 
A variety of automatic fact-checking approaches have been proposed over the past decade. Among these, path-based fact-checking approaches are particularly attractive due to their independence of supplementary external knowledge and their faster runtimes compared to methods reliant on external corpora or embeddings.  
However, the effectiveness of these approaches is fundamentally limited by the incompleteness of existing knowledge graphs, which often lack the paths necessary to support or refute assertions. 
To address this limitation, we propose \system{}, a framework that supplements the knowledge graph with shallow knowledge---automatically extracted RDF assertions from external unstructured sources---even if this additional knowledge may not always fit a well-defined ontology nor be fully verified. By appending such shallow knowledge, we enhance the graph’s coverage and increase the chances of finding relevant evidence for fact checking. Comprehensive experiments on three widely used benchmark datasets demonstrate that integrating \system{} consistently and significantly enhances the performance of {state-of-the-art path-based fact-checking approaches}, yielding improvements of up to 0.24 in Area Under the Receiver Operating Characteristic Curve (AUROC). These results establish \system{} as a broadly applicable auxiliary component for improving the reliability and coverage of automatic fact checking in knowledge graphs. Our code is open-source and can be found at \url{https://github.com/dice-group/ShallKnow}.}},
  author       = {{Qudus, Umair and Pokharel, Neha and Röder, Michael and Ngonga Ngomo, Axel-Cyrille}},
  booktitle    = {{Lecture Notes in Computer Science}},
  isbn         = {{9783032251558}},
  issn         = {{0302-9743}},
  keywords     = {{fact checking}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{No Need to Be a Know-It-All: Fact Checking with Shallow Knowledge}}},
  doi          = {{10.1007/978-3-032-25156-5_23}},
  year         = {{2026}},
}

@article{65674,
  author       = {{Quast, Julia}},
  issn         = {{2191-995X}},
  journal      = {{Indes}},
  number       = {{4}},
  pages        = {{53--61}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Achtung – Panzer!}}},
  doi          = {{10.13109/inde.2025.13.4.53}},
  volume       = {{13}},
  year         = {{2026}},
}

@article{65682,
  author       = {{Vernholz, Mats and Sims, Craig and Treagust, David}},
  journal      = {{Education Sciences}},
  number       = {{5}},
  pages        = {{782}},
  title        = {{{From Time-Saving to Skill-Building: Reframing Generative AI for Lesson-Planning—A Conceptual Design Paper}}},
  doi          = {{https://doi.org/10.3390/educsci16050782}},
  volume       = {{16}},
  year         = {{2026}},
}

@book{65699,
  author       = {{Uhde, André and Paul, Stephan and Horsch, Andreas and Kaltofen, Daniel and Weiß, Gregor}},
  isbn         = {{978-3-7910-6577-9}},
  title        = {{{Unternehmerische Finanzierungspolitik - Eine wertorientierte Einführung}}},
  year         = {{2026}},
}

@inbook{63810,
  author       = {{Bürgel, Christoph and Siepmann, Dirk}},
  booktitle    = {{Pedagogical Linguistics, Selected Papers from Constructionist Approaches to Language Pedagogy 4, 7:1, 17–3.}},
  editor       = {{Piske, Thorsten  and Herbst, Thomas }},
  pages        = {{7:1, 17–3}},
  publisher    = {{Piske, Thorsten & Herbst, }},
  title        = {{{A Comprehensive Grammar of Spoken and Written French as the First Fully Corpus-informed Grammar of French}}},
  year         = {{2026}},
}

@article{65733,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>
                    In this paper, we study the computation of shortest paths within the
                    <jats:italic>geometric amoebot model</jats:italic>
                    , a commonly used model for programmable matter. Shortest paths are essential for various tasks and therefore have been heavily investigated in many different contexts. We consider the
                    <jats:italic>reconfigurable circuit extension</jats:italic>
                    of the model where the amoebot structure is able to interconnect amoebots by so-called circuits. These circuits permit the instantaneous transmission of simple signals between connected amoebots. We propose distributed algorithms for the
                    <jats:italic>shortest path forest problem</jats:italic>
                    where, given a set of
                    <jats:italic>k</jats:italic>
                    sources and a set of
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$\ell $$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mi>ℓ</mml:mi>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    destinations, the amoebot structure has to compute a forest that connects each destination to its closest source on a shortest path. Our main results are two algorithms for hole-free structures. The first algorithm constructs a shortest path tree for a single source within
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$O(\log \ell )$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>O</mml:mi>
                            <mml:mo>(</mml:mo>
                            <mml:mo>log</mml:mo>
                            <mml:mi>ℓ</mml:mi>
                            <mml:mo>)</mml:mo>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    rounds, and the second algorithm a shortest path forest for an arbitrary number of sources within
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$O(\log n \log ^2 k)$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>O</mml:mi>
                            <mml:mo>(</mml:mo>
                            <mml:mo>log</mml:mo>
                            <mml:mi>n</mml:mi>
                            <mml:msup>
                              <mml:mo>log</mml:mo>
                              <mml:mn>2</mml:mn>
                            </mml:msup>
                            <mml:mi>k</mml:mi>
                            <mml:mo>)</mml:mo>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    rounds. The former algorithm also provides an
                    <jats:italic>O</jats:italic>
                    (1) rounds solution for the
                    <jats:italic>single pair shortest path problem</jats:italic>
                    (SPSP) and an
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$O(\log n)$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>O</mml:mi>
                            <mml:mo>(</mml:mo>
                            <mml:mo>log</mml:mo>
                            <mml:mi>n</mml:mi>
                            <mml:mo>)</mml:mo>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    rounds solution for the
                    <jats:italic>single source shortest path problem</jats:italic>
                    (SSSP) since these problems are special cases of the considered problem. Then, we adapt the latter algorithm to an offset version of the problem. This allows us to solve the problem for amoebot structures with holes within
                    <jats:inline-formula>
                      <jats:alternatives>
                        <jats:tex-math>$$O(h \log ^3 n)$$</jats:tex-math>
                        <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                          <mml:mrow>
                            <mml:mi>O</mml:mi>
                            <mml:mo>(</mml:mo>
                            <mml:mi>h</mml:mi>
                            <mml:msup>
                              <mml:mo>log</mml:mo>
                              <mml:mn>3</mml:mn>
                            </mml:msup>
                            <mml:mi>n</mml:mi>
                            <mml:mo>)</mml:mo>
                          </mml:mrow>
                        </mml:math>
                      </jats:alternatives>
                    </jats:inline-formula>
                    rounds w.h.p. where
                    <jats:italic>h</jats:italic>
                    denotes the number of holes.
                  </jats:p>}},
  author       = {{Padalkin, Andreas and Scheideler, Christian}},
  issn         = {{0178-2770}},
  journal      = {{Distributed Computing}},
  number       = {{2}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Polylogarithmic time algorithms for shortest path forests in programmable matter}}},
  doi          = {{10.1007/s00446-026-00505-2}},
  volume       = {{39}},
  year         = {{2026}},
}

@article{65739,
  author       = {{Garske, Volker}},
  journal      = {{Handbuch der Religionen}},
  number       = {{88}},
  publisher    = {{Westarp Science}},
  title        = {{{Schattenprinzip und Klimawandel - Entwicklungschancen für Lehrende und Lernende im Kontext des Ökologischen Lernens, erarbeitet am Beispiel der Massentierhaltung }}},
  year         = {{2026}},
}

@inbook{65736,
  author       = {{Kamdem Teyou, Louis Mozart and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}},
  booktitle    = {{Lecture Notes in Computer Science}},
  isbn         = {{9783032251558}},
  issn         = {{0302-9743}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Semantics-Aware Caching for Concept Learning}}},
  doi          = {{10.1007/978-3-032-25156-5_26}},
  year         = {{2026}},
}

@article{65741,
  abstract     = {{<jats:p>
                    This work investigates the temperature dependence of the lattice constant
                    <jats:italic>a</jats:italic>
                    <jats:sub>exp</jats:sub>
                    of cubic GaN/3C‐SiC/Si (001) epilayers grown at 740°C by plasma‐assisted molecular beam epitaxy is investigated. High resolution X‐ray diffraction is performed to determine the lattice constant, using an Anton–Paar DHS1100 stage to vary the sample temperature from 25°C to 900°C, calibrated against the underlying single‐crystalline silicon substrate. A linear increase in
                    <jats:italic>a</jats:italic>
                    <jats:sub>exp</jats:sub>
                    with rising temperature is observed. The thermal expansion behaviour is modelled using Debye´s phonon dispersion. The fitted lattice parameters are used to calculate the thermal expansion coefficient (TEC). At room temperature the TEC is determined to be
                    <jats:italic>α</jats:italic>
                    <jats:sub>Debye </jats:sub>
                    ≈ 5.25 × 10
                    <jats:sup>−6</jats:sup>
                     K
                    <jats:sup>−1</jats:sup>
                    . We further compare the TEC of the cubic GaN epilayer to that of free‐standing hexagonal GaN using the crystallographic relationship of , demonstrating good agreement between both phases. Using literature values for the elastic constants of cubic GaN, the corresponding elastic moduli and Debye temperature Θ
                    <jats:sub>D</jats:sub>
                    are calculated. An average value of Θ
                    <jats:sub>D</jats:sub>
                    of ≈905 ± 25 K is obtained, which is very close to our experimental results. Moreover, tensile strain is found to be present in our sample at room temperature, leading to an increase in the TEC. The impact of strain on the thermal properties of cubic GaN is discussed.
                  </jats:p>}},
  author       = {{As, Donat Josef and Meier, Falco and Mahler, Pascal and Meier, Cedrik}},
  issn         = {{0370-1972}},
  journal      = {{physica status solidi (b)}},
  number       = {{2}},
  publisher    = {{Wiley}},
  title        = {{{X‐Ray Investigation of the Thermal Expansion Coefficient of Cubic Gallium Nitride on 3C‐SiC (001)/Si (001) Substrates}}},
  doi          = {{10.1002/pssb.202500477}},
  volume       = {{263}},
  year         = {{2026}},
}

@inbook{65740,
  author       = {{Brinkmann, FRank Thomas and Jacke, Christoph}},
  booktitle    = {{beRÜHRUNGen. Leibliches, seelisches und existentielles Geschehen in der Popkultur}},
  editor       = {{Polke, Christian and Seipel, Maria-Louise and Stahl, Mirjam}},
  isbn         = {{9783658497958}},
  issn         = {{2569-880X}},
  pages        = {{45--77}},
  publisher    = {{Springer Fachmedien Wiesbaden}},
  title        = {{{Don’t touch me there/Touch my body. Zur Vielstimmigkeit und Unstimmigkeit besungener (Be-)Rührungswünsche}}},
  doi          = {{10.1007/978-3-658-49796-5}},
  year         = {{2026}},
}

@inbook{65749,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>Phase noise is one of the most important properties of oscillators that limit the capacity of high-frequency communication systems. In heterodyne conversion schemes, the phase noise of the local oscillator will be multiplied and up-converted to the transmission channel. Therefore, accurate characterization of the oscillators is highly important for the design of THz communication systems. Especially when it comes to the characterization of high-quality oscillators with extremely low phase noise, traceable measurement methods are not available.</jats:p>
                  <jats:p>In this chapter, the mathematical model and definition of the amplitude noise (AM noise) and phase noise (PM noise) are given. Different phase noise definition standards such as single sideband (SSB) and double sideband will also be provided. Phase noise measurement techniques such as frequency discrimination and phase-locked loop (PLL) technique will be discussed. The standard two-channel cross correlation for statistical analysis of phase noise at levels below the detection limit of the phase noise receiver will be explained with mathematical formalism.</jats:p>}},
  author       = {{Bahmanian, Meysam and Scheytt, J. Christoph and Meyne, Nora and Kleine-Ostmann, Thomas}},
  booktitle    = {{Springer Series in Optical Sciences}},
  isbn         = {{9783032019851}},
  issn         = {{0342-4111}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Phase Noise Metrology}}},
  doi          = {{10.1007/978-3-032-01986-8_4}},
  year         = {{2026}},
}

@inbook{65748,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>In this chapter, the precision of optical clocks based on mode-locked laser (MLL) is compared with more conventional types of clock sources. It is shown that the phase noise of the optical pulse train from the MLL can be better than other types of clock sources by orders of magnitude. Then, an abstract representation of frequency synthesizer is demonstrated. Different techniques for RF generation using MLL are shown, and their pros and cons are discussed. Finally, a comparison of all these techniques is made with respect to their phase noise and capability to generate RF signal with different frequencies for different applications.</jats:p>}},
  author       = {{Bahmanian, Meysam and Scheytt, J. Christoph}},
  booktitle    = {{Springer Series in Optical Sciences}},
  isbn         = {{9783032019851}},
  issn         = {{0342-4111}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Frequency Synthesis Based on MLLs}}},
  doi          = {{10.1007/978-3-032-01986-8_28}},
  year         = {{2026}},
}

@inbook{65755,
  author       = {{Twardzik, Jan Luca and Humpert, Lynn and Cichon, Gerrit and Dumitrescu, Roman}},
  booktitle    = {{Lecture Notes in Mechanical Engineering}},
  isbn         = {{9783032211569}},
  issn         = {{2195-4356}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Knowledge Gaps in Circular Product Development: A Systematic Literature Review of the Manufacturing Industry}}},
  doi          = {{10.1007/978-3-032-21157-6_39}},
  year         = {{2026}},
}

@inbook{63615,
  author       = {{Meyer-Hamme, Johannes and Hartung, Olaf}},
  booktitle    = {{Handbuch Praxis des Geschichtsunterrichts}},
  editor       = {{Barricelli, Michele and Lücke, Martin}},
  isbn         = {{978-3-7344-1775-7}},
  issn         = {{1435-7658}},
  publisher    = {{Wochenschau Verlag}},
  title        = {{{Historisches Lernen}}},
  year         = {{2026}},
}

@article{65757,
  abstract     = {{Electrifying the heating sector is essential for achieving global climate targets like the Paris Agreement’s 1.5 °C goal. In Germany, where 80  % of household energy goes to space heating and hot water, shifting to low-carbon solutions is crucial. Fossil-fuelled district heating networks can incorporate renewable energy via heat pumps, improving efficiency. Although heat pump design typically favours minimal temperature lifts, higher lifts can be economically viable with low electricity prices and abundant renewables. Adding thermal energy storage boosts operational flexibility. This study explores a flexible heat pump operation incorporating part load behaviour with a thermal energy storage in a German city’s district heating system to minimise costs and carbon dioxide emissions. Using a mixed-integer linear programming model, it examines the impact of temperature adjustments and storage on system efficiency. The results show that the integration of a heat pump in a district heating system reduces operating costs. Compared to a supply without a heat pump, with levelised cost of heating of 9.98 cent/kWhth and a fixed operating mode with costs between 9.96 cent/kWhth and 11.49 cent/kWhth, the flexible use results in lowest costs of 9.85 cent/kWhth, while also reducing overall CO2 emissions. Using a full factorial sensitivity analysis, the levelised cost of heating ranged between 9.15 cent/kWhth in the best case and 10.37 cent/kWhth in the worst case for the selected configuration.}},
  author       = {{Rahlf, Henning Christoph and Divkovic, Denis and Knorr, Lukas and Schlosser, Florian and Meschede, Henning}},
  issn         = {{0196-8904}},
  journal      = {{Energy Conversion and Management}},
  keywords     = {{Heat transition, Optimisation, Temperature flexibility, Decarbonisation, Multi energy}},
  publisher    = {{Elsevier BV}},
  title        = {{{Flexible operation strategies for heat pumps in district heating systems using dynamic electricity prices}}},
  doi          = {{10.1016/j.enconman.2026.121714}},
  volume       = {{364}},
  year         = {{2026}},
}

