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The proposed PCCU schemes are constructed via the first ever application of flux globalization strategies for this model family, which is made possible by the analytical form of the steady states. The scheme is adapted to the nonconservative form via a path-conservative finite-volume method and well-balanced (WB) in the sense that it is capable of exactly preserving physically relevant steady states, including moving-water. We validate the proposed scheme on several benchmarks, including smooth solutions, small perturbation of steady states, and dam-break scenarios. These results demonstrate that our flux globalization based WB PCCU schemes provide a reliable framework for computing solutions of shallow water moment models with nonlinear and nonconservative features.", "issn" : "0045-7930", "doi" : "https://doi.org/10.1016/j.compfluid.2026.107036", "bibtexKey": "CAO2026107036" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2013e783a1c594679d75ed6dd8a8dd0be/sylviazur", "tags" : [ "am","ians" ], "intraHash" : "013e783a1c594679d75ed6dd8a8dd0be", "interHash" : "757e38ecfa7279b9a4f96b7a131d55fa", "label" : "Entropy stable high-order discontinuous Galerkin \r\nspectral-element methods on curvilinear, hybrid meshes", "user" : "sylviazur", "description" : "", "date" : "2026-03-12 11:53:30", "changeDate" : "2026-03-12 11:53:30", "count" : 2, "pub-type": "article", "journal": "J. Comput. Phys.", "year": "2026", "url": "https://www.sciencedirect.com/science/article/pii/S0021999126001798", "author": [ "Jens Keim","Anna Schwarz","Patrick Kopper","Marcel Blind","Christian Rohde","Andrea Beck" ], "authors": [ {"first" : "Jens", "last" : "Keim"}, {"first" : "Anna", "last" : "Schwarz"}, {"first" : "Patrick", "last" : "Kopper"}, {"first" : "Marcel", "last" : "Blind"}, {"first" : "Christian", "last" : "Rohde"}, {"first" : "Andrea", "last" : "Beck"} ], "pages": "114829", "issn" : "0021-9991", "doi" : "https://doi.org/10.1016/j.jcp.2026.114829", "bibtexKey": "KEIM2026114829" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2b7455e2a54540736f3f4b1bafb912173/sylviazur", "tags" : [ "am","ians" ], "intraHash" : "b7455e2a54540736f3f4b1bafb912173", "interHash" : "48574e70ed969df94e1c98f941b78730", "label" : "Existence and stability of the Riemann solutions for a\r\n non-symmetric Keyfitz--Kranzer type model", "user" : "sylviazur", "description" : "", "date" : "2026-03-12 11:52:54", "changeDate" : "2026-03-12 11:52:54", "count" : 2, "pub-type": "article", "journal": "Nonlinearity", "year": "2026", "url": "https://doi.org/10.1088/1361-6544/ae4afc", "author": [ "Rahul Barthwal","Christian Rohde","Anupam Sen" ], "authors": [ {"first" : "Rahul", "last" : "Barthwal"}, {"first" : "Christian", "last" : "Rohde"}, {"first" : "Anupam", "last" : "Sen"} ], "volume": "39","number": "3","pages": "Paper No. 035006", "fjournal" : "Nonlinearity", "doi" : "10.1088/1361-6544/ae4afc", "bibtexKey": "MR5041808" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2f3bccc18bc69a9c9b3afa413f22834d0/sylviazur", "tags" : [ "am","ians" ], "intraHash" : "f3bccc18bc69a9c9b3afa413f22834d0", "interHash" : "fabb5643f60f648acde956ebb35cdb82", "label" : "Thermodynamically consistent phase-field modeling and numerical simulation for two-phase fluid-solid dynamics", "user" : "sylviazur", "description" : "", "date" : "2026-02-23 11:04:10", "changeDate" : "2026-02-23 11:04:10", "count" : 2, "pub-type": "misc", "year": "2026", "url": "https://arxiv.org/abs/2601.09383", "author": [ "Cedric Riethmüller","Lars von Wolff","Dominik Göddeke","Christian Rohde" ], "authors": [ {"first" : "Cedric", "last" : "Riethmüller"}, {"first" : "Lars", "last" : "von Wolff"}, {"first" : "Dominik", "last" : "Göddeke"}, {"first" : "Christian", "last" : "Rohde"} ], "eprint" : "2601.09383", "archiveprefix" : "arXiv", "primaryclass" : "math.NA", "bibtexKey": "riethmüller2026thermodynamicallyconsistentphasefieldmodeling" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/249ebd576b2a336e93d4601afa17301a5/sylviazur", "tags" : [ "am","ians" ], "intraHash" : "49ebd576b2a336e93d4601afa17301a5", "interHash" : "d68ab082639c8d34b815a0ed76240890", "label" : "Justification of a Relaxation Approximation for the Navier-Stokes-Cahn-Hilliard System", "user" : "sylviazur", "description" : "", "date" : "2026-02-23 11:03:45", "changeDate" : "2026-02-23 11:03:45", "count" : 2, "pub-type": "misc", "year": "2026", "url": "https://arxiv.org/abs/2601.18463", "author": [ "Jan Giesselmann","Jens Keim","Fabio Leotta","Christian Rohde" ], "authors": [ {"first" : "Jan", "last" : "Giesselmann"}, {"first" : "Jens", "last" : "Keim"}, {"first" : "Fabio", "last" : "Leotta"}, {"first" : "Christian", "last" : "Rohde"} ], "eprint" : "2601.18463", "archiveprefix" : "arXiv", "primaryclass" : "math.NA", "bibtexKey": "giesselmann2026justificationrelaxationapproximationnavierstokescahnhilliard" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/22255561c902f197386ac853cfafee50f/sylviazur", "tags" : [ "am","ians" ], "intraHash" : "2255561c902f197386ac853cfafee50f", "interHash" : "5e67bc211d269a183cd53c1371d10011", "label" : "Multiscale Hyperbolic-Parabolic Models for Nonlinear Reactive Transport in Heterogeneously Fractured Porous Media", "user" : "sylviazur", "description" : "", "date" : "2026-02-23 11:00:43", "changeDate" : "2026-02-23 11:00:43", "count" : 2, "pub-type": "misc", "year": "2026", "url": "https://arxiv.org/abs/2602.16439", "author": [ "Taras Mel'nyk","Sorin Pop","Christian Rohde" ], "authors": [ {"first" : "Taras", "last" : "Mel'nyk"}, {"first" : "Sorin", "last" : "Pop"}, {"first" : "Christian", "last" : "Rohde"} ], "eprint" : "2602.16439", "archiveprefix" : "arXiv", "primaryclass" : "math.AP", "bibtexKey": "melnyk2026multiscalehyperbolicparabolicmodelsnonlinear" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/28dbb10289cb7015b0b4715f814ba11d6/sylviazur", "tags" : [ "SPP2410","am","ians" ], "intraHash" : "8dbb10289cb7015b0b4715f814ba11d6", "interHash" : "82ffba44dcc732b47b9761270f411f2a", "label" : "Convergence of a two-parameter hyperbolic relaxation system toward the incompressible Navier-Stokes equations", "user" : "sylviazur", "description" : "", "date" : "2026-01-28 12:47:02", "changeDate" : "2026-01-28 12:47:02", "count" : 2, "pub-type": "misc", "year": "2026", "url": "https://arxiv.org/abs/2601.19846", "author": [ "Qian Huang","Christian Rohde","Ruixi Zhang" ], "authors": [ {"first" : "Qian", "last" : "Huang"}, {"first" : "Christian", "last" : "Rohde"}, {"first" : "Ruixi", "last" : "Zhang"} ], "eprint" : "2601.19846", "archiveprefix" : "arXiv", "primaryclass" : "math.AP", "bibtexKey": "huang2026convergencetwoparameterhyperbolicrelaxation" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/20ae8066bce4bc897b706a75c89edfefc/bstamm", "tags" : [ "nmh-paper","nmh","ians" ], "intraHash" : "0ae8066bce4bc897b706a75c89edfefc", "interHash" : "10ed018a508d6326fc2c2476f16f6f95", "label" : "Geometrical fingerprints of shear transformation zones in network glasses", "user" : "bstamm", "description" : "", "date" : "2026-01-06 17:09:41", "changeDate" : "2026-01-06 17:09:41", "count" : 3, "pub-type": "article", "journal": "Communications Materials", "year": "2025", "url": "https://doi.org/10.1038/s43246-025-01034-4", "author": [ "Franz Bamer","Zhao Wu","Somar Shekh Alshabab","Maximilian Reihn","Benjamin Stamm" ], "authors": [ {"first" : "Franz", "last" : "Bamer"}, {"first" : "Zhao", "last" : "Wu"}, {"first" : "Somar", "last" : "Shekh Alshabab"}, {"first" : "Maximilian", "last" : "Reihn"}, {"first" : "Benjamin", "last" : "Stamm"} ], "abstract": "Our understanding of the fracture behavior of oxide glasses is rudimentary at best, since the mechanical behavior is hidden behind complex disordered network structures. Here, we are locally decoding these complex networks, extracting scalar and tensor-based predictors, and quantifying how susceptible local regions are to experiencing mechanically induced rearrangements. Presenting the bond length fluctuation tensor, we find that shear transformation zones in network glasses highly correlate with regions of the highest variance in their bond stretch distributions projected into the direction of macroscopic deformation. Exclusively depending on the local geometry of the initial material state, our indicators are physically informative and can be evaluated directly from images with insignificant computational effort.", "issn" : "2662-4443", "doi" : "10.1038/s43246-025-01034-4", "bibtexKey": "Bamer2025" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/21b6411b822157af141d8a76b780314b1/sylviazur", "tags" : [ "am","ians" ], "intraHash" : "1b6411b822157af141d8a76b780314b1", "interHash" : "1ee6bc65d23f08ce49038b9319cfb27a", "label" : "Effective Equations for a Compressible Liquid-Vapor Flow \r\nModel with Highly Oscillating Initial Density", "user" : "sylviazur", "description" : "", "date" : "2025-12-18 09:24:42", "changeDate" : "2025-12-18 09:26:05", "count" : 5, "pub-type": "misc", "year": "2025", "url": "https://arxiv.org/abs/2512.15535", "author": [ "Christian Rohde","Florian Wendt" ], "authors": [ {"first" : "Christian", "last" : "Rohde"}, {"first" : "Florian", "last" : "Wendt"} ], "eprint" : "2512.15535", "archiveprefix" : "arXiv", "primaryclass" : "math.AP", "bibtexKey": "EffectiveEquations25" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2f35f9df97ff2ec78359bd6cee9e51fc7/brittalenz", "tags" : [ "ians-uq","ians" ], "intraHash" : "f35f9df97ff2ec78359bd6cee9e51fc7", "interHash" : "0a9fa27211c38c9fa102c2c7251245a0", "label" : "Scalar conservation laws with stochastic discontinuous flux function", "user" : "brittalenz", "description" : "", "date" : "2025-12-12 10:06:38", "changeDate" : "2025-12-12 10:06:38", "count" : 3, "pub-type": "article", "year": "2022", "url": "https://arxiv.org/abs/2107.00549", "author": [ "Lukas Brencher","Andrea Barth" ], "authors": [ {"first" : "Lukas", "last" : "Brencher"}, {"first" : "Andrea", "last" : "Barth"} ], "language" : "eng", "doi" : "10.48550/arXiv.2107.00549", "bibtexKey": "brencher2021scalar" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2c091f0cf33ec38011d10b1cf1d23675d/sylviazur", "tags" : [ "am","ians" ], "intraHash" : "c091f0cf33ec38011d10b1cf1d23675d", "interHash" : "a77ff59f6b35ff08d6fd1e5bf9199e23", "label" : "Weak-Strong Uniqueness and Relaxation Limit for a \r\nNavier-Stokes-Korteweg Model", "user" : "sylviazur", "description" : "", "date" : "2025-12-12 09:56:08", "changeDate" : "2025-12-12 09:56:08", "count" : 5, "pub-type": "misc", "year": "2025", "url": "https://arxiv.org/abs/2512.09719", "author": [ "Nilasis Chaudhuri","Christian Rohde","Florian Wendt" ], "authors": [ {"first" : "Nilasis", "last" : "Chaudhuri"}, {"first" : "Christian", "last" : "Rohde"}, {"first" : "Florian", "last" : "Wendt"} ], "eprint" : "2512.09719", "archiveprefix" : "arXiv", "primaryclass" : "math.AP", "bibtexKey": "chaudhuri_rohde_wendt2025" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2aa2c847d6f1cbf06f139d41c939bf3c7/lblessing", "tags" : [ "myown","pn5","ians-uq","ians","exc2075" ], "intraHash" : "aa2c847d6f1cbf06f139d41c939bf3c7", "interHash" : "760b22d8e50945fde155441775e07d69", "label" : "An Inverse Boundary Value Problem for the Porous Medium Equation: Numerical Methods", "user" : "lblessing", "description" : "", "date" : "2025-12-11 17:37:47", "changeDate" : "2025-12-16 14:24:24", "count" : 6, "pub-type": "article", "journal": "GAMM Archive for Students", "year": "2025", "url": "https://www.bibliothek.tu-chemnitz.de/ojs/index.php/GAMMAS/article/view/907", "author": [ "Lea Blessing","Andrea Barth" ], "authors": [ {"first" : "Lea", "last" : "Blessing"}, {"first" : "Andrea", "last" : "Barth"} ], "volume": "7","number": "1", "abstractnote" : "&lt;p&gt;Inverse boundary value problems aim to infer a material&#039;s properties from boundary measurements. This article addresses an inverse problem for the porous medium equation, focusing on determining two coefficients characterizing the medium&#039;s diffusivity and porosity. As this problem has mainly been discussed in theory, a main contribution is the development of efficient numerical approaches for solving this problem. Based on the Dirichlet-to-Neumann map&#039;s injectivity, the diffusion coefficient&#039;s inversion can be related to the Calder&#039;on problem, leveraging its favorable properties. A key advantage of the proposed method is the decoupled inversion approach: After inferring the diffusion coefficient, the original problem only has to be solved for the porosity coefficient which can be done using a Bayesian inversion approach. This article lays the foundation for developing numerical methods solving the considered problem, highlighting the benefits of the decoupled strategy. Numerical frameworks are established for both the classical and Bayesian inversion of the diffusion coefficient. In the classical setting, noise-free measurements lead to a well-posed inverse problem. For noisy data, the Bayesian inversion maintains the problem&#039;s well-posedness.&lt;/p&gt;", "doi" : "10.14464/gammas.v7i1.907", "bibtexKey": "Blessing_Barth_2025" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2aa2c847d6f1cbf06f139d41c939bf3c7/brittalenz", "tags" : [ "ians-uq","ians" ], "intraHash" : "aa2c847d6f1cbf06f139d41c939bf3c7", "interHash" : "760b22d8e50945fde155441775e07d69", "label" : "An Inverse Boundary Value Problem for the Porous Medium Equation: Numerical Methods", "user" : "brittalenz", "description" : "", "date" : "2025-12-11 15:28:26", "changeDate" : "2025-12-11 15:33:25", "count" : 6, "pub-type": "article", "journal": "GAMM Archive for Students", "year": "2025", "url": "https://www.bibliothek.tu-chemnitz.de/ojs/index.php/GAMMAS/article/view/907", "author": [ "Lea Blessing","Andrea Barth" ], "authors": [ {"first" : "Lea", "last" : "Blessing"}, {"first" : "Andrea", "last" : "Barth"} ], "volume": "7","number": "1", "abstractnote" : "&lt;p&gt;Inverse boundary value problems aim to infer a material&#039;s properties from boundary measurements. This article addresses an inverse problem for the porous medium equation, focusing on determining two coefficients characterizing the medium&#039;s diffusivity and porosity. As this problem has mainly been discussed in theory, a main contribution is the development of efficient numerical approaches for solving this problem. Based on the Dirichlet-to-Neumann map&#039;s injectivity, the diffusion coefficient&#039;s inversion can be related to the Calder&#039;on problem, leveraging its favorable properties. A key advantage of the proposed method is the decoupled inversion approach: After inferring the diffusion coefficient, the original problem only has to be solved for the porosity coefficient which can be done using a Bayesian inversion approach. This article lays the foundation for developing numerical methods solving the considered problem, highlighting the benefits of the decoupled strategy. Numerical frameworks are established for both the classical and Bayesian inversion of the diffusion coefficient. In the classical setting, noise-free measurements lead to a well-posed inverse problem. For noisy data, the Bayesian inversion maintains the problem&#039;s well-posedness.&lt;/p&gt;", "doi" : "10.14464/gammas.v7i1.907", "bibtexKey": "Blessing_Barth_2025" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/29255fcdc511ec89b0d6d8650288c1ccf/brittalenz", "tags" : [ "cmcs","ians" ], "intraHash" : "9255fcdc511ec89b0d6d8650288c1ccf", "interHash" : "3fb01bda6067091943a4650f62f753fd", "label" : "Ontologies for Models and Algorithms in Applied Mathematics and Related Disciplines", "user" : "brittalenz", "description" : "", "date" : "2025-11-11 16:15:12", "changeDate" : "2025-11-11 16:15:12", "count" : 2, "pub-type": "inproceedings", "booktitle": "Metadata and Semantic Research","publisher":"Springer Nature Switzerland","address":"Cham", "year": "2024", "url": "", "author": [ "Björn Schembera","Frank Wübbeling","Hendrik Kleikamp","Christine Biedinger","Jochen Fiedler","Marco Reidelbach","Aurela Shehu","Burkhard Schmidt","Thomas Koprucki","Dorothea Iglezakis","Dominik Göddeke" ], "authors": [ {"first" : "Björn", "last" : "Schembera"}, {"first" : "Frank", "last" : "Wübbeling"}, {"first" : "Hendrik", "last" : "Kleikamp"}, {"first" : "Christine", "last" : "Biedinger"}, {"first" : "Jochen", "last" : "Fiedler"}, {"first" : "Marco", "last" : "Reidelbach"}, {"first" : "Aurela", "last" : "Shehu"}, {"first" : "Burkhard", "last" : "Schmidt"}, {"first" : "Thomas", "last" : "Koprucki"}, {"first" : "Dorothea", "last" : "Iglezakis"}, {"first" : "Dominik", "last" : "Göddeke"} ], "editor": [ "Emmanouel Garoufallou","Fabio Sartori" ], "editors": [ {"first" : "Emmanouel", "last" : "Garoufallou"}, {"first" : "Fabio", "last" : "Sartori"} ], "pages": "161--168","abstract": "In applied mathematics and related disciplines, the modeling-simulation-optimization workflow is a prominent scheme, with mathematical models and numerical algorithms playing a crucial role. For these types of mathematical research data, the Mathematical Research Data Initiative has developed, merged and implemented ontologies and knowledge graphs. This contributes to making mathematical research data FAIR by introducing semantic technology and documenting the mathematical foundations accordingly. Using the concrete example of microfracture analysis of porous media, it is shown how the knowledge of the underlying mathematical model and the corresponding numerical algorithms for its solution can be represented by the ontologies.", "isbn" : "978-3-031-65990-4", "bibtexKey": "10.1007/978-3-031-65990-4_14" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/205428d6ede11cc17b420357af52e7bd9/brittalenz", "tags" : [ "cmcs","ians" ], "intraHash" : "05428d6ede11cc17b420357af52e7bd9", "interHash" : "42a1d5ec9af4b3c3d19a6675b335a8cd", "label" : "Knowledge-Infused Optimization for Parameter Selection in Numerical Simulations", "user" : "brittalenz", "description" : "", "date" : "2025-11-11 16:13:13", "changeDate" : "2025-11-19 13:21:34", "count" : 10, "pub-type": "article", "booktitle": "Pacific-Asia Conference on Knowledge Discovery and Data Mining (PAKDD)", "year": "2024", "url": "", "author": [ "Julia Meißner","Dominik Göddeke","Melanie Herschel" ], "authors": [ {"first" : "Julia", "last" : "Meißner"}, {"first" : "Dominik", "last" : "Göddeke"}, {"first" : "Melanie", "last" : "Herschel"} ], "number": "14650","note": "Pacific-Asia Conference on Knowledge Discovery and Data Mining", "bibtexKey": "meissner2024knowledgeinfused" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/23832b84cbfb5a60dd45e29d7e1363a8e/brittalenz", "tags" : [ "cmcs","ians" ], "intraHash" : "3832b84cbfb5a60dd45e29d7e1363a8e", "interHash" : "9d2535e186f6cafa821ef3ed5f0f36e9", "label" : "Data-driven geometric parameter optimization for PD-GMRES", "user" : "brittalenz", "description" : "", "date" : "2025-11-11 10:28:24", "changeDate" : "2025-11-11 10:28:24", "count" : 5, "pub-type": "misc", "year": "2025", "url": "", "author": [ "L. Duvenbeck","C. Riethmüller","C. Rohde" ], "authors": [ {"first" : "L.", "last" : "Duvenbeck"}, {"first" : "C.", "last" : "Riethmüller"}, {"first" : "C.", "last" : "Rohde"} ], "archiveprefix" : "arXiv", "primaryclass" : "math.NA", "doi" : "arXiv:2503.09728", "bibtexKey": "Duvenbeck25" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2286913b985975d2836128277df2d4efb/brittalenz", "tags" : [ "cmcs","ians" ], "intraHash" : "286913b985975d2836128277df2d4efb", "interHash" : "1cc6b80f90859c2dc22382203701f3e9", "label" : "Datenmanagement im SFB 1313", "user" : "brittalenz", "description" : "", "date" : "2025-11-06 15:16:50", "changeDate" : "2025-11-06 15:16:50", "count" : 15, "pub-type": "article", "journal": "Bausteine Forschungsdatenmanagement", "year": "2020", "url": "", "author": [ "M. Schneider","B. Flemisch","S. Frey","S. Hermann","D. Iglezakis","M. Ruf","B. Schembera","A. Seeland","H. Steeb" ], "authors": [ {"first" : "M.", "last" : "Schneider"}, {"first" : "B.", "last" : "Flemisch"}, {"first" : "S.", "last" : "Frey"}, {"first" : "S.", "last" : "Hermann"}, {"first" : "D.", "last" : "Iglezakis"}, {"first" : "M.", "last" : "Ruf"}, {"first" : "B.", "last" : "Schembera"}, {"first" : "A.", "last" : "Seeland"}, {"first" : "H.", "last" : "Steeb"} ], "volume": "1","pages": "28--38", "doi" : "10.17192/BFDM.2020.1.8085", "bibtexKey": "schneider2020datenmanagement" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/23ecff39f867db785e094b0d08416ce5d/brittalenz", "tags" : [ "cmcs","ians" ], "intraHash" : "3ecff39f867db785e094b0d08416ce5d", "interHash" : "367221966a522da95baec91523b1d5ad", "label" : "Data, Information, Knowledge, Wisdom, and Explainable Artificial Intelligence", "user" : "brittalenz", "description" : "", "date" : "2025-11-06 15:14:51", "changeDate" : "2025-11-06 15:15:48", "count" : 4, "pub-type": "inproceedings", "booktitle": "Designing the Conceptual Landscape for a XAIR Validation Infrastructure","publisher":"Springer Nature Switzerland","address":"Cham", "year": "2025", "url": "", "author": [ "Björn Schembera" ], "authors": [ {"first" : "Björn", "last" : "Schembera"} ], "editor": [ "Fadi Al Machot","Martin T. Horsch","Sebastian Scholze" ], "editors": [ {"first" : "Fadi", "last" : "Al Machot"}, {"first" : "Martin T.", "last" : "Horsch"}, {"first" : "Sebastian", "last" : "Scholze"} ], "pages": "122--132","abstract": "The data -- information -- knowledge -- wisdom (DIKW)-hierarchy has become a standard framework for examining relationships among data, information, knowledge. This article explores the integration of DIKW with the FAIR and XAIR principles. These principles drive essential transformation processes within the DIKW model: the FAIR principles support the transition from data to information, while XAIR principles enable information to become actionable knowledge. Wisdom is only created particularly through ethical and scientific practices that transcend purely technical considerations. At each level, these transformations reflect distinct epistemic values: FAIR fosters technical knowledge about data, XAIR enables scientific knowledge, and ethics and scientific practices contribute to broader societal knowledge. AI technology plays a dual role, making research machine-readable and interpretable while simultaneously enhancing transformation processes through AI-driven techniques.", "isbn" : "978-3-031-89274-5", "bibtexKey": "10.1007/978-3-031-89274-5_9" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/203eadec68f4a6f6982b87990b292143c/brittalenz", "tags" : [ "cmcs","ians" ], "intraHash" : "03eadec68f4a6f6982b87990b292143c", "interHash" : "ccb26950dad6a4feda21cc4d05256e57", "label" : "Towards a FAIR Documentation of Workflows and Models in Applied Mathematics", "user" : "brittalenz", "description" : "", "date" : "2025-11-06 15:13:17", "changeDate" : "2025-11-06 15:13:17", "count" : 4, "pub-type": "inproceedings", "booktitle": "Mathematical Software -- ICMS 2024","series": "Lecture Notes in Computer Science","publisher":"Springer Nature Switzerland","address":"Cham", "year": "2024", "url": "", "author": [ "Marco Reidelbach","Björn Schembera","Marcus Weber" ], "authors": [ {"first" : "Marco", "last" : "Reidelbach"}, {"first" : "Björn", "last" : "Schembera"}, {"first" : "Marcus", "last" : "Weber"} ], "editor": [ "Kevin Buzzard","Alicia Dickenstein","Bettina Eick","Anton Leykin","Yue Ren" ], "editors": [ {"first" : "Kevin", "last" : "Buzzard"}, {"first" : "Alicia", "last" : "Dickenstein"}, {"first" : "Bettina", "last" : "Eick"}, {"first" : "Anton", "last" : "Leykin"}, {"first" : "Yue", "last" : "Ren"} ], "number": "14749","pages": "254--262","abstract": "Modeling-Simulation-Optimization workflows play a fundamental role in applied mathematics. The Mathematical Research Data Initiative, MaRDI, responded to this by developing a FAIR and machine-interpretable template for a comprehensive documentation of such workflows. MaRDMO, a Plugin for the Research Data Management Organiser, enables scientists from diverse fields to document and publish their workflows on the MaRDI Portal seamlessly using the MaRDI template. Central to these workflows are mathematical models. MaRDI addresses them with the MathModDB ontology, offering a structured formal model description. Here, we showcase the interaction between MaRDMO and the MathModDB Knowledge Graph through an algebraic modeling workflow from the Digital Humanities. This demonstration underscores the versatility of both services beyond their original numerical domain.", "isbn" : "978-3-031-64529-7", "bibtexKey": "10.1007/978-3-031-64529-7_27" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2c3e56f9e171551f13fe25af30f39d642/brittalenz", "tags" : [ "cmcs","ians" ], "intraHash" : "c3e56f9e171551f13fe25af30f39d642", "interHash" : "4fa6812c5c502a963be1deb1d78fe263", "label" : "Optimized Dimensioning and Economic Assessment of Decentralized Hybrid Small Wind and Photovoltaic Power Systems for Residential Buildings", "user" : "brittalenz", "description" : "", "date" : "2025-11-06 09:42:19", "changeDate" : "2025-11-06 09:45:16", "count" : 4, "pub-type": "article", "journal": "Energies", "year": "2025", "url": "https://www.mdpi.com/1996-1073/18/7/1811", "author": [ "Marcus Brennenstuhl","Robert Otto","Dirk Pietruschka","Björn Schembera","Ursula Eicker" ], "authors": [ {"first" : "Marcus", "last" : "Brennenstuhl"}, {"first" : "Robert", "last" : "Otto"}, {"first" : "Dirk", "last" : "Pietruschka"}, {"first" : "Björn", "last" : "Schembera"}, {"first" : "Ursula", "last" : "Eicker"} ], "volume": "18","number": "7","abstract": "In Germany, wind and photovoltaic (PV) systems dominate renewable electricity generation, with large wind turbines contributing 24.1% and PV systems contributing 10.6% in 2022. In contrast, electricity production from small wind turbines remains marginal (<0.01%). While currently only viable in high-wind locations, factors like rising electricity prices, cheaper battery storage, and increasing electrification could boost their future role. Within this work, a residential energy supply system consisting of a small wind turbine, PV system, heat pump, battery storage, and electric vehicle was dimensioned for different sites in Germany and Canada based on detailed simulation models and genetic algorithms in order to analyze the effect of bidirectional charging on optimal system dimensions and economic feasibility. This was carried out for various electricity pricing conditions. The results indicate that, with electricity purchase costs above 0.42 EUR/kWh, combined with a 25% reduction in small wind turbine and battery storage investment expenses, economic viability could be significantly enhanced. This might expand the applicability of small wind power to diverse sites.", "issn" : "1996-1073", "article-number" : "1811", "doi" : "10.3390/en18071811", "bibtexKey": "en18071811" } ] }