@article{33950,
  author       = {{Cappello, Chiara and Steffen, Eckhard}},
  issn         = {{0166-218X}},
  journal      = {{Discrete Applied Mathematics}},
  keywords     = {{Applied Mathematics, Discrete Mathematics and Combinatorics}},
  pages        = {{183--193}},
  publisher    = {{Elsevier BV}},
  title        = {{{Frustration-critical signed graphs}}},
  doi          = {{10.1016/j.dam.2022.08.010}},
  volume       = {{322}},
  year         = {{2022}},
}

@article{34677,
  author       = {{Black, Tobias and Wu, Chunyan}},
  issn         = {{0944-2669}},
  journal      = {{Calculus of Variations and Partial Differential Equations}},
  keywords     = {{Applied Mathematics, Analysis}},
  number       = {{3}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation}}},
  doi          = {{10.1007/s00526-022-02201-y}},
  volume       = {{61}},
  year         = {{2022}},
}

@article{35948,
  author       = {{Liszt-Rohlf, Verena and Wochnik, Markus and Schwabl, Franziska}},
  issn         = {{0172-2875}},
  journal      = {{Zeitschrift für Berufs- und Wirtschaftspädagogik}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{2}},
  pages        = {{261--295}},
  publisher    = {{Wissenschaftliche Verlagsgesellschaft mbH}},
  title        = {{{Alte Fotografien, neue Erkenntnisse}}},
  doi          = {{10.25162/zbw-2022-0011}},
  volume       = {{118}},
  year         = {{2022}},
}

@article{45920,
  author       = {{Liszt-Rohlf, Verena and Wochnik, Markus and Schwabl, Franziska}},
  issn         = {{0172-2875}},
  journal      = {{Zeitschrift für Berufs- und Wirtschaftspädagogik}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{2}},
  pages        = {{261--295}},
  publisher    = {{Wissenschaftliche Verlagsgesellschaft mbH}},
  title        = {{{Alte Fotografien, neue Erkenntnisse}}},
  doi          = {{10.25162/zbw-2022-0011}},
  volume       = {{118}},
  year         = {{2022}},
}

@article{30864,
  author       = {{Schulz, Andreas and Wecker, Christian and Inguva, Venkatesh and Lopatin, Alexey S. and Kenig, Eugeny Y.}},
  issn         = {{0009-2509}},
  journal      = {{Chemical Engineering Science}},
  keywords     = {{Applied Mathematics, Industrial and Manufacturing Engineering, General Chemical Engineering, General Chemistry}},
  publisher    = {{Elsevier BV}},
  title        = {{{A PLIC-based method for species mass transfer at free fluid interfaces}}},
  doi          = {{10.1016/j.ces.2021.117357}},
  volume       = {{251}},
  year         = {{2021}},
}

@article{47567,
  author       = {{Bruns, Bastian and Di Pretoro, Alessandro and Grünewald, Marcus and Riese, Julia}},
  issn         = {{0009-2509}},
  journal      = {{Chemical Engineering Science}},
  keywords     = {{Applied Mathematics, Industrial and Manufacturing Engineering, General Chemical Engineering, General Chemistry}},
  publisher    = {{Elsevier BV}},
  title        = {{{Flexibility analysis for demand-side management in large-scale chemical processes: An ethylene oxide production case study}}},
  doi          = {{10.1016/j.ces.2021.116779}},
  volume       = {{243}},
  year         = {{2021}},
}

@article{45962,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>An algorithm is proposed for generalized mean curvature flow of closed two-dimensional surfaces, which include inverse mean curvature flow and powers of mean and inverse mean curvature flow. Error estimates are proved for semidiscretizations and full discretizations for the generalized flow. The algorithm proposed and studied here combines evolving surface finite elements, whose nodes determine the discrete surface, and linearly implicit backward difference formulae for time integration. The numerical method is based on a system coupling the surface evolution to nonlinear second-order parabolic evolution equations for the normal velocity and normal vector. A convergence proof is presented in the case of finite elements of polynomial degree at least 2 and backward difference formulae of orders 2 to 5. The error analysis combines stability estimates and consistency estimates to yield optimal-order $H^1$-norm error bounds for the computed surface position, velocity, normal vector, normal velocity and therefore for the mean curvature. The stability analysis is performed in the matrix–vector formulation and is independent of geometric arguments, which only enter the consistency analysis. Numerical experiments are presented to illustrate the convergence results and also to report on monotone quantities, e.g. Hawking mass for inverse mean curvature flow, and complemented by experiments for nonconvex surfaces.</jats:p>}},
  author       = {{Binz, Tim and Kovács, Balázs}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Mathematics}},
  number       = {{3}},
  pages        = {{2545--2588}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{A convergent finite element algorithm for generalized mean curvature flows of closed surfaces}}},
  doi          = {{10.1093/imanum/drab043}},
  volume       = {{42}},
  year         = {{2021}},
}

@article{45957,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>A proof of convergence is given for a bulk–surface finite element semidiscretisation of the Cahn–Hilliard equation with Cahn–Hilliard-type dynamic boundary conditions in a smooth domain. The semidiscretisation is studied in an abstract weak formulation as a second-order system. Optimal-order uniform-in-time error estimates are shown in the $L^2$- and $H^1$-norms. The error estimates are based on a consistency and stability analysis. The proof of stability is performed in an abstract framework, based on energy estimates exploiting the anti-symmetric structure of the second-order system. Numerical experiments illustrate the theoretical results.</jats:p>}},
  author       = {{Harder, Paula and Kovács, Balázs}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Mathematics}},
  number       = {{3}},
  pages        = {{2589--2620}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions}}},
  doi          = {{10.1093/imanum/drab045}},
  volume       = {{42}},
  year         = {{2021}},
}

@article{45961,
  author       = {{Nick, Jörg and Kovács, Balázs and Lubich, Christian}},
  issn         = {{0029-599X}},
  journal      = {{Numerische Mathematik}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{4}},
  pages        = {{997--1000}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations}}},
  doi          = {{10.1007/s00211-021-01196-6}},
  volume       = {{147}},
  year         = {{2021}},
}

@article{45959,
  author       = {{Kovács, Balázs and Li, Buyang and Lubich, Christian}},
  issn         = {{0029-599X}},
  journal      = {{Numerische Mathematik}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{3}},
  pages        = {{595--643}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{A convergent evolving finite element algorithm for Willmore flow of closed surfaces}}},
  doi          = {{10.1007/s00211-021-01238-z}},
  volume       = {{149}},
  year         = {{2021}},
}

@article{34629,
  author       = {{Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}},
  issn         = {{0377-0427}},
  journal      = {{Journal of Computational and Applied Mathematics}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  publisher    = {{Elsevier BV}},
  title        = {{{Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data}}},
  doi          = {{10.1016/j.cam.2020.113061}},
  volume       = {{382}},
  year         = {{2021}},
}

@article{37659,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0002-9939}},
  journal      = {{Proceedings of the American Mathematical Society}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{3}},
  pages        = {{1151--1163}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Positive intertwiners for Bessel functions of type B}}},
  doi          = {{10.1090/proc/15312}},
  volume       = {{149}},
  year         = {{2021}},
}

@article{34840,
  abstract     = {{In this paper we obtain a complete list of imaginary n-quadratic fields with class groups of exponent 3 and 5 under ERH for every positive integer n where an n-quadratic field is a number field of degree 2ⁿ represented as the composite of n quadratic fields. }},
  author       = {{Klüners, Jürgen and Komatsu, Toru}},
  issn         = {{0025-5718}},
  journal      = {{Mathematics of Computation}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Algebra and Number Theory}},
  number       = {{329}},
  pages        = {{1483--1497}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Imaginary multiquadratic number fields with class group of exponent $3$ and $5$}}},
  doi          = {{10.1090/mcom/3609}},
  volume       = {{90}},
  year         = {{2021}},
}

@article{34912,
  abstract     = {{Let E be an ordinary elliptic curve over a finite field and g be a positive integer. Under some technical assumptions, we give an algorithm to span the isomorphism classes of principally polarized abelian varieties in the isogeny class of E⁹ . The varieties are first described as hermitian lattices over (not necessarily maximal) quadratic orders and then geometrically in terms of their algebraic theta null point. We also show how to algebraically compute Siegel modular forms of even weight given as polynomials in the theta constants by a careful choice of an affine lift of the theta null point. We then use these results to give an algebraic computation of Serre’s obstruction for principally polarized abelian threefolds isogenous to E³ and of the Igusa modular form in dimension 4. We illustrate our algorithms with examples of curves with many rational points over finite fields. }},
  author       = {{Kirschmer, Markus and Narbonne, Fabien and Ritzenthaler, Christophe and Robert, Damien}},
  issn         = {{0025-5718}},
  journal      = {{Mathematics of Computation}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Algebra and Number Theory}},
  number       = {{333}},
  pages        = {{401--449}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Spanning the isogeny class of a power of an elliptic curve}}},
  doi          = {{10.1090/mcom/3672}},
  volume       = {{91}},
  year         = {{2021}},
}

@article{34673,
  author       = {{Black, Tobias and Fuest, Mario and Lankeit, Johannes}},
  issn         = {{0044-2275}},
  journal      = {{Zeitschrift für angewandte Mathematik und Physik}},
  keywords     = {{Applied Mathematics, General Physics and Astronomy, General Mathematics}},
  number       = {{3}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems}}},
  doi          = {{10.1007/s00033-021-01524-8}},
  volume       = {{72}},
  year         = {{2021}},
}

@article{34675,
  author       = {{Black, Tobias and Wu, Chunyan}},
  issn         = {{0044-2275}},
  journal      = {{Zeitschrift für angewandte Mathematik und Physik}},
  keywords     = {{Applied Mathematics, General Physics and Astronomy, General Mathematics}},
  number       = {{4}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation}}},
  doi          = {{10.1007/s00033-021-01565-z}},
  volume       = {{72}},
  year         = {{2021}},
}

@article{35952,
  author       = {{Daniel-Söltenfuß, Desiree and Schwabl, Franziska}},
  issn         = {{0172-2875}},
  journal      = {{Zeitschrift für Berufs- und Wirtschaftspädagogik}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{3}},
  pages        = {{431--460}},
  publisher    = {{Wissenschaftliche Verlagsgesellschaft mbH}},
  title        = {{{Selbstreguliertes Lernen im berufsschulischen Übergangssystem}}},
  doi          = {{10.25162/zbw-2021-0019}},
  volume       = {{117}},
  year         = {{2021}},
}

@article{33262,
  abstract     = {{The authors of Berg et al. [J. Algebra 348 (2011) 446–461] provide an algorithm for finding a complete system of primitive orthogonal idempotents for CM, where M is any finite R-trivial monoid. Their method relies on a technical result stating that R-trivial monoid are equivalent to so-called weakly ordered monoids. We provide an alternative algorithm, based only on the simple observation that an R-trivial monoid may be realized by upper triangular matrices. This approach is inspired by results in the field of coupled cell network dynamical systems, where L-trivial monoids (the opposite notion) correspond to so-called feed-forward networks. We first show that our algorithm works for ZM, after which we prove that it also works for RM where R is an arbitrary ring with a known complete system of primitive orthogonal idempotents. In particular, our algorithm works if R is any field. In this respect our result constitutes a considerable generalization of the results in Berg et al. [J. Algebra 348 (2011) 446–461]. Moreover, the system of idempotents for RM is obtained from the one our algorithm yields for ZM in a straightforward manner. In other words, for any finite R-trivial monoid M our algorithm only has to be performed for ZM, after which a system of idempotents follows for any ring with a given system of idempotents.}},
  author       = {{Nijholt, Eddie and Rink, Bob and Schwenker, Sören}},
  issn         = {{0219-4988}},
  journal      = {{Journal of Algebra and Its Applications}},
  keywords     = {{Applied Mathematics, Algebra and Number Theory}},
  number       = {{12}},
  publisher    = {{World Scientific Pub Co Pte Ltd}},
  title        = {{{A new algorithm for computing idempotents of ℛ-trivial monoids}}},
  doi          = {{10.1142/s0219498821502273}},
  volume       = {{20}},
  year         = {{2020}},
}

@article{45954,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>$L^2$ norm error estimates of semi- and full discretizations of wave equations with dynamic boundary conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied. The analysis rests on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed, which fit into the abstract framework. For problems with velocity terms or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than 2. These can also be observed in the presented numerical experiments.</jats:p>}},
  author       = {{Hipp, David and Kovács, Balázs}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{638--728}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates}}},
  doi          = {{10.1093/imanum/drz073}},
  volume       = {{41}},
  year         = {{2020}},
}

@article{45953,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>$L^2$ norm error estimates of semi- and full discretizations of wave equations with dynamic boundary conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied. The analysis rests on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed, which fit into the abstract framework. For problems with velocity terms or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than 2. These can also be observed in the presented numerical experiments.</jats:p>}},
  author       = {{Hipp, David and Kovács, Balázs}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{638--728}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates}}},
  doi          = {{10.1093/imanum/drz073}},
  volume       = {{41}},
  year         = {{2020}},
}