Tonnon, Wouter; Hiptmair, Ralf Semi-Lagrangian finite element exterior calculus for incompressible flows. (English) Zbl 07811920 Adv. Comput. Math. 50, No. 1, Paper No. 11, 29 p. (2024). MSC: 65M60 65M06 65N30 76D05 76D10 76B03 76M10 76M20 35A15 35R35 35Q30 35Q35 PDFBibTeX XMLCite \textit{W. Tonnon} and \textit{R. Hiptmair}, Adv. Comput. Math. 50, No. 1, Paper No. 11, 29 p. (2024; Zbl 07811920) Full Text: DOI arXiv OA License
Hong, Jialin; Hou, Baohui; Sun, Liying; Zhang, Xiaojing Novel structure-preserving schemes for stochastic Klein-Gordon-Schrödinger equations with additive noise. (English) Zbl 07811329 J. Comput. Phys. 500, Article ID 112740, 20 p. (2024). MSC: 60Hxx 65Mxx 65Cxx PDFBibTeX XMLCite \textit{J. Hong} et al., J. Comput. Phys. 500, Article ID 112740, 20 p. (2024; Zbl 07811329) Full Text: DOI arXiv
McLachlan, Robert I.; Stern, Ari Functional equivariance and conservation laws in numerical integration. (English) Zbl 07808384 Found. Comput. Math. 24, No. 1, 149-177 (2024). MSC: 37M15 PDFBibTeX XMLCite \textit{R. I. McLachlan} and \textit{A. Stern}, Found. Comput. Math. 24, No. 1, 149--177 (2024; Zbl 07808384) Full Text: DOI arXiv
Munthe-Kaas, Hans Geometric integration on symmetric spaces. (English) Zbl 07807506 J. Comput. Dyn. 11, No. 1, 43-58 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65L05 53C35 22E70 PDFBibTeX XMLCite \textit{H. Munthe-Kaas}, J. Comput. Dyn. 11, No. 1, 43--58 (2024; Zbl 07807506) Full Text: DOI arXiv
Ding, Wenxv; Liu, Zhihong; Li, Ying; Wei, Anli; Zhang, Mingcui New structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems. (English) Zbl 07807003 Numer. Algorithms 95, No. 3, 1309-1323 (2024). MSC: 65F10 11R52 15A09 15A24 15B33 PDFBibTeX XMLCite \textit{W. Ding} et al., Numer. Algorithms 95, No. 3, 1309--1323 (2024; Zbl 07807003) Full Text: DOI
Carrillo, José A.; Wang, Li; Wei, Chaozhen Structure preserving primal dual methods for gradient flows with nonlinear mobility transport distances. (English) Zbl 07805452 SIAM J. Numer. Anal. 62, No. 1, 376-399 (2024). MSC: 65K10 49M29 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Numer. Anal. 62, No. 1, 376--399 (2024; Zbl 07805452) Full Text: DOI arXiv
Dogruer Akgul, S.; Minenkova, A.; Olshevsky, V. Lipschitz stability of some canonical Jordan bases of real \(H\)-selfadjoint matrices under small perturbations. (English) Zbl 07805324 Linear Algebra Appl. 686, 64-82 (2024). Reviewer: Tin Yau Tam (Reno) MSC: 15A21 15A20 15B57 47A55 PDFBibTeX XMLCite \textit{S. Dogruer Akgul} et al., Linear Algebra Appl. 686, 64--82 (2024; Zbl 07805324) Full Text: DOI
Zhao, Zilin; Deng, Dingwen The analyses and Richardson extrapolation methods of a class of weighted structure-preserving difference schemes for Fisher-KPP equations. (The analyses and Richardsdon extrapolation methods of a class of weighted structure-preserving difference schemes for Fisher-KPP equations.) (English) Zbl 07802106 Acta Math. Appl. Sin. 47, No. 1, 101-123 (2024). MSC: 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{D. Deng}, Acta Math. Appl. Sin. 47, No. 1, 101--123 (2024; Zbl 07802106) Full Text: Link
Li, Yingzhe; Campos Pinto, Martin; Holderied, Florian; Possanner, Stefan; Sonnendrücker, Eric Geometric particle-in-cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons. (English) Zbl 07797650 J. Comput. Phys. 498, Article ID 112671, 23 p. (2024). MSC: 76Mxx 65Mxx 76Xxx PDFBibTeX XMLCite \textit{Y. Li} et al., J. Comput. Phys. 498, Article ID 112671, 23 p. (2024; Zbl 07797650) Full Text: DOI arXiv
Huang, Tsung-Ming; Kuo, Yueh-Cheng; Lin, Wen-Wei; Shieh, Shih-Feng Structure-preserving doubling algorithms that avoid breakdowns for algebraic Riccati-type matrix equations. (English) Zbl 07791519 SIAM J. Matrix Anal. Appl. 45, No. 1, 59-83 (2024). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{T.-M. Huang} et al., SIAM J. Matrix Anal. Appl. 45, No. 1, 59--83 (2024; Zbl 07791519) Full Text: DOI
Zhang, Dong; Jiang, Tongsong; Jiang, Chuan; Wang, Gang A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications. (English) Zbl 07785648 Numer. Algorithms 95, No. 1, 267-283 (2024). MSC: 65F15 PDFBibTeX XMLCite \textit{D. Zhang} et al., Numer. Algorithms 95, No. 1, 267--283 (2024; Zbl 07785648) Full Text: DOI
Kong, Linghua; Wu, Yexiang; Liu, Zhiqiang; Wang, Ping Pointwise second order convergence of structure-preserving scheme for the triple-coupled nonlinear Schrödinger equations. (English) Zbl 07784351 Comput. Math. Appl. 154, 91-102 (2024). MSC: 35Q55 65M06 65M12 65M70 65M15 PDFBibTeX XMLCite \textit{L. Kong} et al., Comput. Math. Appl. 154, 91--102 (2024; Zbl 07784351) Full Text: DOI
Jacobson, Alon; Hu, Xiaozhe Structure-preserving discretization of fractional vector calculus using discrete exterior calculus. (English) Zbl 07784335 Comput. Math. Appl. 153, 186-196 (2024). MSC: 65-XX 35R11 26A33 65N06 65M06 34A08 PDFBibTeX XMLCite \textit{A. Jacobson} and \textit{X. Hu}, Comput. Math. Appl. 153, 186--196 (2024; Zbl 07784335) Full Text: DOI arXiv
Cai, Yongmei; Mao, Xuerong; Wei, Fengying An advanced numerical scheme for multi-dimensional stochastic Kolmogorov equations with superlinear coefficients. (English) Zbl 1523.60097 J. Comput. Appl. Math. 437, Article ID 115472, 18 p. (2024). MSC: 60H10 65C30 60H35 34F05 92D25 PDFBibTeX XMLCite \textit{Y. Cai} et al., J. Comput. Appl. Math. 437, Article ID 115472, 18 p. (2024; Zbl 1523.60097) Full Text: DOI
Shen, Yedan; Wang, Ting; Zhou, Jie; Hu, Guanghui A convergence analysis of a structure-preserving gradient flow method for the all-electron Kohn-Sham model. (English) Zbl 07814746 Numer. Math., Theory Methods Appl. 16, No. 3, 597-621 (2023). MSC: 35Q41 81Q05 65M60 65M12 65M50 PDFBibTeX XMLCite \textit{Y. Shen} et al., Numer. Math., Theory Methods Appl. 16, No. 3, 597--621 (2023; Zbl 07814746) Full Text: DOI arXiv
Ma, Tingting; Fu, Yayun; He, Yuehua; Yang, Wenjie A linearly implicit energy-preserving exponential time differencing scheme for the fractional nonlinear Schrödinger equation. (English) Zbl 07798651 Netw. Heterog. Media 18, No. 3, 1105-1117 (2023). MSC: 65L05 65L10 PDFBibTeX XMLCite \textit{T. Ma} et al., Netw. Heterog. Media 18, No. 3, 1105--1117 (2023; Zbl 07798651) Full Text: DOI
Ortega, Juan-Pablo; Yin, Daiying Expressiveness and structure preservation in learning port-Hamiltonian systems. (English) Zbl 07789310 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 313-322 (2023). MSC: 93B10 93B05 93B07 93C05 PDFBibTeX XMLCite \textit{J.-P. Ortega} and \textit{D. Yin}, Lect. Notes Comput. Sci. 14072, 313--322 (2023; Zbl 07789310) Full Text: DOI arXiv
Bendimerad-Hohl, Antoine; Haine, Ghislain; Matignon, Denis Structure-preserving discretization of the Cahn-Hilliard equations recast as a port-Hamiltonian system. (English) Zbl 07789298 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 192-201 (2023). MSC: 80A17 PDFBibTeX XMLCite \textit{A. Bendimerad-Hohl} et al., Lect. Notes Comput. Sci. 14072, 192--201 (2023; Zbl 07789298) Full Text: DOI
Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes. (English) Zbl 07788135 J. Comput. Phys. 486, Article ID 112130, 25 p. (2023). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 486, Article ID 112130, 25 p. (2023; Zbl 07788135) Full Text: DOI arXiv
Pascoe, James Eldred Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem. (English) Zbl 07787889 Tôhoku Math. J. (2) 75, No. 4, 465-482 (2023). MSC: 46L52 47A15 47A13 PDFBibTeX XMLCite \textit{J. E. Pascoe}, Tôhoku Math. J. (2) 75, No. 4, 465--482 (2023; Zbl 07787889) Full Text: DOI arXiv
Moatti, Julien A skeletal high-order structure preserving scheme for advection-diffusion equations. (English) Zbl 07781715 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 345-354 (2023). MSC: 65M08 65M06 65N08 35B09 65M12 65M15 PDFBibTeX XMLCite \textit{J. Moatti}, Springer Proc. Math. Stat. 432, 345--354 (2023; Zbl 07781715) Full Text: DOI arXiv
Celledoni, Elena; Murari, Davide; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia Dynamical systems-based neural networks. (English) Zbl 07781031 SIAM J. Sci. Comput. 45, No. 6, A3071-A3094 (2023). Reviewer: Ünver Çiftçi (Tekirdağ) MSC: 65L05 65L06 37M15 68T07 PDFBibTeX XMLCite \textit{E. Celledoni} et al., SIAM J. Sci. Comput. 45, No. 6, A3071--A3094 (2023; Zbl 07781031) Full Text: DOI arXiv
Tsuchiya, Takuya; Nakamura, Makoto Numerical accuracy and stability of semilinear Klein-Gordon equation in de Sitter spacetime. (English) Zbl 07780407 JSIAM Lett. 15, 45-48 (2023). MSC: 65N06 PDFBibTeX XMLCite \textit{T. Tsuchiya} and \textit{M. Nakamura}, JSIAM Lett. 15, 45--48 (2023; Zbl 07780407) Full Text: DOI arXiv
Li, Jiyong; Jin, Xiaoqian Structure-preserving exponential wave integrator methods and the long-time convergence analysis for the Klein-Gordon-Dirac equation with the small coupling constant. (English) Zbl 07777359 Numer. Methods Partial Differ. Equations 39, No. 4, 3375-3416 (2023). MSC: 65M70 65M06 65N35 65M12 65M15 35B05 35B65 81V05 81Q05 35Q41 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Jin}, Numer. Methods Partial Differ. Equations 39, No. 4, 3375--3416 (2023; Zbl 07777359) Full Text: DOI
Song, Mingzhan; Song, Songhe; Zhang, Wei; You, Jingwei; Qian, Xu Conformal structure-preserving schemes for damped-driven stochastic nonlinear Schrödinger equation with multiplicative noise. (English) Zbl 07776980 Numer. Methods Partial Differ. Equations 39, No. 2, 1706-1728 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Song} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1706--1728 (2023; Zbl 07776980) Full Text: DOI
Zhang, Gengen; Jiang, Chaolong Arbitrary high-order structure-preserving methods for the quantum Zakharov system. (English) Zbl 07773314 Adv. Comput. Math. 49, No. 6, Paper No. 75, 37 p. (2023). MSC: 65L06 65M22 65M70 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{C. Jiang}, Adv. Comput. Math. 49, No. 6, Paper No. 75, 37 p. (2023; Zbl 07773314) Full Text: DOI arXiv
Hu, Dongdong; Jiang, Huiling; Xu, Zhuangzhi; Wang, Yushun On convergence of a novel linear conservative scheme for the two-dimensional fractional nonlinear Schrödinger equation with wave operator. (English) Zbl 07772647 Comput. Math. Appl. 150, 254-266 (2023). MSC: 65M12 35Q55 35R11 65M70 65M60 PDFBibTeX XMLCite \textit{D. Hu} et al., Comput. Math. Appl. 150, 254--266 (2023; Zbl 07772647) Full Text: DOI
Liu, Yang; Ran, Maohua; Zhang, Li Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations. (English) Zbl 1525.65107 Comput. Math. Appl. 150, 54-69 (2023). MSC: 65M70 35Q41 35R11 70H05 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 150, 54--69 (2023; Zbl 1525.65107) Full Text: DOI
Kong, Linghua; Zhang, Peng; Chen, Meng Efficient energy structure-preserving schemes for three-dimensional Maxwell’s equations. (English) Zbl 07771274 J. Comput. Phys. 491, Article ID 112357, 23 p. (2023). MSC: 65Mxx 78Mxx 35Qxx PDFBibTeX XMLCite \textit{L. Kong} et al., J. Comput. Phys. 491, Article ID 112357, 23 p. (2023; Zbl 07771274) Full Text: DOI
Li, Zhuoning; Xu, Zhenli; Yang, Zhiguo An energy-conserving Fourier particle-in-cell method with asymptotic-preserving preconditioner for Vlasov-Ampère system with exact curl-free constraint. (English) Zbl 07766247 J. Comput. Phys. 495, Article ID 112529, 21 p. (2023). MSC: 65Mxx 35Qxx 82Dxx PDFBibTeX XMLCite \textit{Z. Li} et al., J. Comput. Phys. 495, Article ID 112529, 21 p. (2023; Zbl 07766247) Full Text: DOI arXiv
Moser, Tim; Lohmann, Boris A Rosenbrock framework for tangential interpolation of port-Hamiltonian descriptor systems. (English) Zbl 07761289 Math. Comput. Model. Dyn. Syst. 29, No. 1, 210-235 (2023). MSC: 93B11 93C15 34A09 93A15 93B70 PDFBibTeX XMLCite \textit{T. Moser} and \textit{B. Lohmann}, Math. Comput. Model. Dyn. Syst. 29, No. 1, 210--235 (2023; Zbl 07761289) Full Text: DOI arXiv
Miyazaki, Eiji; Kemmochi, Tomoya; Sogabe, Tomohiro; Zhang, Shao-Liang A structure-preserving numerical method for the fourth-order geometric evolution equations for planar curves. (English) Zbl 07759075 Commun. Math. Res. 39, No. 2, 296-330 (2023). MSC: 37M15 65M06 PDFBibTeX XMLCite \textit{E. Miyazaki} et al., Commun. Math. Res. 39, No. 2, 296--330 (2023; Zbl 07759075) Full Text: DOI arXiv
Wu, Fengsheng; Li, Chaoqian; Li, Yaotang Algorithms for structure preserving best rank-one approximations of partially symmetric tensors. (English) Zbl 1526.15026 Front. Math. (Beijing) 18, No. 1, 123-152 (2023). MSC: 15A69 65F99 PDFBibTeX XMLCite \textit{F. Wu} et al., Front. Math. (Beijing) 18, No. 1, 123--152 (2023; Zbl 1526.15026) Full Text: DOI
Zhang, Mingcui; Li, Ying; Sun, Jianhua; Ding, Wenxv The \(\mathcal{L_C}\)-structure-preserving algorithms of quaternion \(LDL^H\) decomposition and Cholesky decomposition. (English) Zbl 07757050 Adv. Appl. Clifford Algebr. 33, No. 5, Paper No. 57, 18 p. (2023). MSC: 65F99 15A23 PDFBibTeX XMLCite \textit{M. Zhang} et al., Adv. Appl. Clifford Algebr. 33, No. 5, Paper No. 57, 18 p. (2023; Zbl 07757050) Full Text: DOI
Fu, Yayun; Cai, Wenjun; Wang, Yushun A linearly-implicit energy-preserving algorithm for the two-dimensional space-fractional nonlinear Schrödinger equation based on the SAV approach. (English) Zbl 07750343 J. Comput. Math. 41, No. 5, 797-816 (2023). MSC: 35R11 65M70 35Q55 PDFBibTeX XMLCite \textit{Y. Fu} et al., J. Comput. Math. 41, No. 5, 797--816 (2023; Zbl 07750343) Full Text: DOI arXiv
Laakmann, Fabian; Hu, Kaibo; Farrell, Patrick E. Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations. (English) Zbl 07742896 J. Comput. Phys. 492, Article ID 112410, 25 p. (2023). MSC: 76Wxx 65Nxx 65Fxx PDFBibTeX XMLCite \textit{F. Laakmann} et al., J. Comput. Phys. 492, Article ID 112410, 25 p. (2023; Zbl 07742896) Full Text: DOI arXiv
Hong, Qi; Gong, Yuezheng; Zhao, Jia Thermodynamically consistent hydrodynamic phase-field computational modeling for fluid-structure interaction with moving contact lines. (English) Zbl 07742895 J. Comput. Phys. 492, Article ID 112409, 21 p. (2023). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{Q. Hong} et al., J. Comput. Phys. 492, Article ID 112409, 21 p. (2023; Zbl 07742895) Full Text: DOI
Hillebrand, Dorian; Klein, Simon-Christian; Öffner, Philipp Applications of limiters, neural networks and polynomial annihilation in higher-order FD/FV schemes. (English) Zbl 07742012 J. Sci. Comput. 97, No. 1, Paper No. 13, 31 p. (2023). MSC: 65M08 65M06 65N08 65L06 68T07 35L65 76N15 PDFBibTeX XMLCite \textit{D. Hillebrand} et al., J. Sci. Comput. 97, No. 1, Paper No. 13, 31 p. (2023; Zbl 07742012) Full Text: DOI OA License
Zhang, Xiaodi; Su, Haiyan A decoupled, unconditionally energy-stable and structure-preserving finite element scheme for the incompressible MHD equations with magnetic-electric formulation. (English) Zbl 07741323 Comput. Math. Appl. 146, 45-59 (2023). MSC: 76W05 76M10 65M60 65N30 35Q35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{H. Su}, Comput. Math. Appl. 146, 45--59 (2023; Zbl 07741323) Full Text: DOI
Gao, Yuan; Liu, Jian-Guo Random walk approximation for irreversible drift-diffusion process on manifold: ergodicity, unconditional stability and convergence. (English) Zbl 07738849 Commun. Comput. Phys. 34, No. 1, 132-172 (2023). MSC: 60H30 60H35 65M75 65M12 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{J.-G. Liu}, Commun. Comput. Phys. 34, No. 1, 132--172 (2023; Zbl 07738849) Full Text: DOI arXiv
Abe, Masayuki; Hofheinz, Dennis; Nishimaki, Ryo; Ohkubo, Miyako; Pan, Jiaxin Compact structure-preserving signatures with almost tight security. (English) Zbl 1519.94209 J. Cryptology 36, No. 4, Paper No. 37, 41 p. (2023). MSC: 94A62 94A60 PDFBibTeX XMLCite \textit{M. Abe} et al., J. Cryptology 36, No. 4, Paper No. 37, 41 p. (2023; Zbl 1519.94209) Full Text: DOI
Zhang, Fengxia; Li, Ying; Zhao, Jianli A real unconstrained equivalent problem of the quaternion equality constrained weighted least squares problem. (English) Zbl 07730422 Numer. Algorithms 94, No. 1, 73-91 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{F. Zhang} et al., Numer. Algorithms 94, No. 1, 73--91 (2023; Zbl 07730422) Full Text: DOI
Guan, Jiashen; Yuan, Hongyan; Liu, Ju A structure-preserving integrator for incompressible finite elastodynamics based on a Grad-div stabilized mixed formulation with particular emphasis on stretch-based material models. (English) Zbl 07725689 Comput. Methods Appl. Mech. Eng. 414, Article ID 116145, 30 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{J. Guan} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116145, 30 p. (2023; Zbl 07725689) Full Text: DOI arXiv
Rettberg, Johannes; Wittwar, Dominik; Buchfink, Patrick; Brauchler, Alexander; Ziegler, Pascal; Fehr, Jörg; Haasdonk, Bernard Port-Hamiltonian fluid-structure interaction modelling and structure-preserving model order reduction of a classical guitar. (English) Zbl 1520.93364 Math. Comput. Model. Dyn. Syst. 29, No. 1, 116-148 (2023). MSC: 93C95 93B70 93B11 74F10 PDFBibTeX XMLCite \textit{J. Rettberg} et al., Math. Comput. Model. Dyn. Syst. 29, No. 1, 116--148 (2023; Zbl 1520.93364) Full Text: DOI arXiv
Najera-Flores, David A.; Todd, Michael D. A structure-preserving neural differential operator with embedded Hamiltonian constraints for modeling structural dynamics. (English) Zbl 1525.70003 Comput. Mech. 72, No. 2, 241-252 (2023). MSC: 70-08 70K40 68T07 PDFBibTeX XMLCite \textit{D. A. Najera-Flores} and \textit{M. D. Todd}, Comput. Mech. 72, No. 2, 241--252 (2023; Zbl 1525.70003) Full Text: DOI
Porteous, William A.; Laiu, Ming Tse P.; Hauck, Cory D. Data-driven, structure-preserving approximations to entropy-based moment closures for kinetic equations. (English) Zbl 1516.65112 Commun. Math. Sci. 21, No. 4, 885-913 (2023). MSC: 65M99 35Q20 65K10 82C40 82C70 PDFBibTeX XMLCite \textit{W. A. Porteous} et al., Commun. Math. Sci. 21, No. 4, 885--913 (2023; Zbl 1516.65112) Full Text: DOI arXiv
Garvey, Seamus D.; Tisseur, Françoise; Wang, Shujuan A parametrization of structure-preserving transformations for matrix polynomials. (English) Zbl 1518.65046 Linear Algebra Appl. 674, 68-90 (2023). MSC: 65F60 15A22 15A18 47J10 PDFBibTeX XMLCite \textit{S. D. Garvey} et al., Linear Algebra Appl. 674, 68--90 (2023; Zbl 1518.65046) Full Text: DOI
Bao, Weizhu; Li, Yifei A symmetrized parametric finite element method for anisotropic surface diffusion in three dimensions. (English) Zbl 1518.65106 SIAM J. Sci. Comput. 45, No. 4, A1438-A1461 (2023). MSC: 65M60 65M06 65N30 65M12 35K55 PDFBibTeX XMLCite \textit{W. Bao} and \textit{Y. Li}, SIAM J. Sci. Comput. 45, No. 4, A1438--A1461 (2023; Zbl 1518.65106) Full Text: DOI arXiv
Haine, Ghislain; Matignon, Denis; Serhani, Anass Numerical analysis of a structure-preserving space-discretization for an anisotropic and heterogeneous boundary controlled \(N\)-dimensional wave equation as a port-Hamiltonian system. (English) Zbl 1524.65538 Int. J. Numer. Anal. Model. 20, No. 1, 92-133 (2023). MSC: 65M60 93C20 65M12 65M15 65M06 65N30 PDFBibTeX XMLCite \textit{G. Haine} et al., Int. J. Numer. Anal. Model. 20, No. 1, 92--133 (2023; Zbl 1524.65538) Full Text: DOI arXiv
Hu, Guanghui; Wang, Ting; Zhou, Jie A linearized structure-preserving numerical scheme for a gradient flow model of the Kohn-Sham density functional theory. (English) Zbl 1514.65172 East Asian J. Appl. Math. 13, No. 2, 299-319 (2023). MSC: 65N30 37M05 PDFBibTeX XMLCite \textit{G. Hu} et al., East Asian J. Appl. Math. 13, No. 2, 299--319 (2023; Zbl 1514.65172) Full Text: DOI
Colbrook, Matthew J. The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems. (English) Zbl 1517.65038 SIAM J. Numer. Anal. 61, No. 3, 1585-1608 (2023). MSC: 65H99 65P99 47N40 47A10 47B33 37M10 37A05 37N10 PDFBibTeX XMLCite \textit{M. J. Colbrook}, SIAM J. Numer. Anal. 61, No. 3, 1585--1608 (2023; Zbl 1517.65038) Full Text: DOI arXiv
Zhang, Xi; Ran, Maohua; Liu, Yang; Zhang, Li A high-order structure-preserving difference scheme for generalized fractional Schrödinger equation with wave operator. (English) Zbl 07703874 Math. Comput. Simul. 210, 532-546 (2023). MSC: 65-XX 39-XX PDFBibTeX XMLCite \textit{X. Zhang} et al., Math. Comput. Simul. 210, 532--546 (2023; Zbl 07703874) Full Text: DOI
Nagata, Takuto; Yoshikawa, Shuji Structure-preserving finite difference scheme for 1D thermoviscoelastoplastic equations under uniformly distributed temperature. (English) Zbl 07703858 Math. Comput. Simul. 210, 147-168 (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{T. Nagata} and \textit{S. Yoshikawa}, Math. Comput. Simul. 210, 147--168 (2023; Zbl 07703858) Full Text: DOI
Huang, Yifei; Peng, Gang; Zhang, Gengen; Zhang, Hong High-order Runge-Kutta structure-preserving methods for the coupled nonlinear Schrödinger-KdV equations. (English) Zbl 07703419 Math. Comput. Simul. 208, 603-618 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Huang} et al., Math. Comput. Simul. 208, 603--618 (2023; Zbl 07703419) Full Text: DOI
Sarkar, Arijit; Scherpen, Jacquelien M. A. Structure-preserving generalized balanced truncation for nonlinear port-Hamiltonian systems. (English) Zbl 1519.93036 Syst. Control Lett. 174, Article ID 105501, 12 p. (2023). MSC: 93B05 93B07 93B70 93C10 PDFBibTeX XMLCite \textit{A. Sarkar} and \textit{J. M. A. Scherpen}, Syst. Control Lett. 174, Article ID 105501, 12 p. (2023; Zbl 1519.93036) Full Text: DOI
Abgrall, Rémi; Lukáčova-Medvid’ová, Mária; Öffner, Philipp On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. (English) Zbl 1514.65123 Math. Models Methods Appl. Sci. 33, No. 1, 139-173 (2023). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{R. Abgrall} et al., Math. Models Methods Appl. Sci. 33, No. 1, 139--173 (2023; Zbl 1514.65123) Full Text: DOI arXiv
Huang, Baohua; Xie, Yajun Structure preserving subspace methods for the general coupled discrete-time periodic matrix equation and its application in antilinear periodic system. (English) Zbl 07699201 Int. J. Comput. Math. 100, No. 2, 453-477 (2023). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{B. Huang} and \textit{Y. Xie}, Int. J. Comput. Math. 100, No. 2, 453--477 (2023; Zbl 07699201) Full Text: DOI
Wang, Lan; Kong, Linghua; Chen, Meng; Zhu, Pengfei; Guo, Huacheng Structure-preserving combined high-order compact schemes for multiple order spatial derivatives differential equations. (English) Zbl 1518.65095 J. Sci. Comput. 96, No. 1, Paper No. 8, 21 p. (2023). MSC: 65M06 65N06 65P10 65M12 65Z05 35Q55 35Q41 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Sci. Comput. 96, No. 1, Paper No. 8, 21 p. (2023; Zbl 1518.65095) Full Text: DOI
Pei, Lifang; Li, Yifei A structure-preserving parametric finite element method for area-conserved generalized curvature flow. (English) Zbl 1516.65096 J. Sci. Comput. 96, No. 1, Paper No. 6, 21 p. (2023). MSC: 65M60 65M06 65N30 65M12 35K55 35A15 PDFBibTeX XMLCite \textit{L. Pei} and \textit{Y. Li}, J. Sci. Comput. 96, No. 1, Paper No. 6, 21 p. (2023; Zbl 1516.65096) Full Text: DOI arXiv
Hu, Dongdong; Fu, Yayun; Cai, Wenjun; Wang, Yushun Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations. (English) Zbl 07698831 J. Sci. Comput. 94, No. 3, Paper No. 70, 35 p. (2023). MSC: 65M70 65M06 65N35 65N30 65N12 26A33 35R11 35A01 35A02 35Q55 PDFBibTeX XMLCite \textit{D. Hu} et al., J. Sci. Comput. 94, No. 3, Paper No. 70, 35 p. (2023; Zbl 07698831) Full Text: DOI arXiv
Ding, Jie; Wang, Zhongming; Zhou, Shenggao Energy dissipative and positivity preserving schemes for large-convection ion transport with steric and solvation effects. (English) Zbl 07696971 J. Comput. Phys. 488, Article ID 112206, 22 p. (2023). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{J. Ding} et al., J. Comput. Phys. 488, Article ID 112206, 22 p. (2023; Zbl 07696971) Full Text: DOI
Barsukow, Wasilij Stationarity preservation properties of the active flux scheme on Cartesian grids. (English) Zbl 1524.35378 Commun. Appl. Math. Comput. 5, No. 2, 638-652 (2023). MSC: 35L65 35L45 65M08 PDFBibTeX XMLCite \textit{W. Barsukow}, Commun. Appl. Math. Comput. 5, No. 2, 638--652 (2023; Zbl 1524.35378) Full Text: DOI
Jia, Zhigang; Liu, Xuan; Zhu, Jingfei; Zhao, Meixiang Harmonic multi-symplectic Lanczos algorithm for quaternion singular triplets. (English) Zbl 1522.65072 Numer. Algorithms 93, No. 3, 1309-1335 (2023). MSC: 65F99 15A18 15B33 65F15 65F55 PDFBibTeX XMLCite \textit{Z. Jia} et al., Numer. Algorithms 93, No. 3, 1309--1335 (2023; Zbl 1522.65072) Full Text: DOI
Chiocchetti, Simone; Dumbser, Michael An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension. (English) Zbl 07682799 J. Sci. Comput. 94, No. 1, Paper No. 24, 62 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{S. Chiocchetti} and \textit{M. Dumbser}, J. Sci. Comput. 94, No. 1, Paper No. 24, 62 p. (2023; Zbl 07682799) Full Text: DOI arXiv
Einkemmer, Lukas; Ostermann, Alexander; Scalone, Carmela A robust and conservative dynamical low-rank algorithm. (English) Zbl 07679183 J. Comput. Phys. 484, Article ID 112060, 20 p. (2023). MSC: 65Lxx 65Mxx 15Axx PDFBibTeX XMLCite \textit{L. Einkemmer} et al., J. Comput. Phys. 484, Article ID 112060, 20 p. (2023; Zbl 07679183) Full Text: DOI arXiv
Bao, Weizhu; Jiang, Wei; Li, Yifei A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves. (English) Zbl 1512.65205 SIAM J. Numer. Anal. 61, No. 2, 617-641 (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65M12 35A15 74E10 74M25 74A50 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{W. Bao} et al., SIAM J. Numer. Anal. 61, No. 2, 617--641 (2023; Zbl 1512.65205) Full Text: DOI arXiv
Ding, Jie; Ji, Xiang A structure-preserving JKO scheme for the size-modified Poisson-Nernst-Planck-Cahn-Hilliard equations. (English) Zbl 1524.35299 Numer. Math., Theory Methods Appl. 16, No. 1, 204-229 (2023). MSC: 35K55 35J05 65M06 65M12 PDFBibTeX XMLCite \textit{J. Ding} and \textit{X. Ji}, Numer. Math., Theory Methods Appl. 16, No. 1, 204--229 (2023; Zbl 1524.35299) Full Text: DOI
Appeltans, Pieter; Michiels, Wim A structure preserving shift-invert infinite Arnoldi algorithm for a class of delay eigenvalue problems with Hamiltonian symmetry. (English) Zbl 1516.65036 SIAM J. Matrix Anal. Appl. 44, No. 1, 331-358 (2023). MSC: 65H17 34K06 PDFBibTeX XMLCite \textit{P. Appeltans} and \textit{W. Michiels}, SIAM J. Matrix Anal. Appl. 44, No. 1, 331--358 (2023; Zbl 1516.65036) Full Text: DOI arXiv
Hernández, Quercus; Badías, Alberto; Chinesta, Francisco; Cueto, Elías Thermodynamics-informed neural networks for physically realistic mixed reality. (English) Zbl 07665579 Comput. Methods Appl. Mech. Eng. 407, Article ID 115912, 11 p. (2023). MSC: 68-XX 82-XX PDFBibTeX XMLCite \textit{Q. Hernández} et al., Comput. Methods Appl. Mech. Eng. 407, Article ID 115912, 11 p. (2023; Zbl 07665579) Full Text: DOI arXiv
Ma, Tingting; Zheng, Qianqian; Fu, Yayun Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation. (English) Zbl 1508.65108 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107067, 15 p. (2023). MSC: 65M06 65N06 65M12 15B05 35C08 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{T. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107067, 15 p. (2023; Zbl 1508.65108) Full Text: DOI
Dai, Dihan; Epshteyn, Yekaterina; Narayan, Akil Non-dissipative and structure-preserving emulators via spherical optimization. (English) Zbl 1512.90156 Inf. Inference 12, No. 1, 494-523 (2023). MSC: 90C20 90C25 90C90 PDFBibTeX XMLCite \textit{D. Dai} et al., Inf. Inference 12, No. 1, 494--523 (2023; Zbl 1512.90156) Full Text: DOI arXiv
Li, Dongfang; Li, Xiaoxi; Mei, Ming; Yuan, Wanqiu A structure-preserving and variable-step BDF2 Fourier pseudo-spectral method for the two-mode phase field crystal model. (English) Zbl 07628005 Math. Comput. Simul. 205, 483-506 (2023). MSC: 82-XX 65-XX PDFBibTeX XMLCite \textit{D. Li} et al., Math. Comput. Simul. 205, 483--506 (2023; Zbl 07628005) Full Text: DOI
Ding, Hengfei; Tian, Junhong Structure preserving fourth-order difference scheme for the nonlinear spatial fractional Schrödinger equation in two dimensions. (English) Zbl 07627984 Math. Comput. Simul. 205, 1-18 (2023). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{H. Ding} and \textit{J. Tian}, Math. Comput. Simul. 205, 1--18 (2023; Zbl 07627984) Full Text: DOI
Gaburro, Elena; Öffner, Philipp; Ricchiuto, Mario; Torlo, Davide High order entropy preserving ADER-DG schemes. (English) Zbl 1511.65109 Appl. Math. Comput. 440, Article ID 127644, 21 p. (2023). MSC: 65M70 65L06 35L65 65L20 65M12 65P10 PDFBibTeX XMLCite \textit{E. Gaburro} et al., Appl. Math. Comput. 440, Article ID 127644, 21 p. (2023; Zbl 1511.65109) Full Text: DOI arXiv
Serna-Reyes, Adán J.; Macías-Díaz, J. E.; Reguera-López, Nuria Analysis of a scheme which preserves the dissipation and positivity of Gibbs’ energy for a nonlinear parabolic equation with variable diffusion. (English) Zbl 1498.65139 Appl. Numer. Math. 183, 355-368 (2023). MSC: 65M06 65N06 65M12 65M15 35B09 35B65 35K55 PDFBibTeX XMLCite \textit{A. J. Serna-Reyes} et al., Appl. Numer. Math. 183, 355--368 (2023; Zbl 1498.65139) Full Text: DOI
Lukáčová-Medvid’ová, Mária; Öffner, Philipp Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions. (English) Zbl 1510.65249 Appl. Math. Comput. 436, Article ID 127508, 22 p. (2023). MSC: 65M60 35Q31 65M12 PDFBibTeX XMLCite \textit{M. Lukáčová-Medvid'ová} and \textit{P. Öffner}, Appl. Math. Comput. 436, Article ID 127508, 22 p. (2023; Zbl 1510.65249) Full Text: DOI arXiv
Li, Yumei; Zhang, Mingwu; Zhang, Futai Structure-preserving linearly homomorphic signature with designated combiner for subspace. (English) Zbl 1527.94080 Nguyen, Khoa (ed.) et al., Information security and privacy. 27th Australasian conference, ACISP 2022, Wollongong, NSW, Australia, November 28–30, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13494, 229-243 (2022). MSC: 94A62 94A60 PDFBibTeX XMLCite \textit{Y. Li} et al., Lect. Notes Comput. Sci. 13494, 229--243 (2022; Zbl 1527.94080) Full Text: DOI
Ding, Wenxv; Li, Ying; Wei, Anli; Fan, Xueling; Zhang, Mingcui \(\mathcal{L_C}\) structure-preserving method based on semi-tensor product of matrices for the QR decomposition in quaternionic quantum theory. (English) Zbl 1518.65047 Comput. Appl. Math. 41, No. 8, Paper No. 397, 15 p. (2022). MSC: 65F99 15A23 15B33 15A69 PDFBibTeX XMLCite \textit{W. Ding} et al., Comput. Appl. Math. 41, No. 8, Paper No. 397, 15 p. (2022; Zbl 1518.65047) Full Text: DOI
Shimura, Kazuki; Yoshikawa, Shuji A new conservative finite difference scheme for 1D Cahn-Hilliard equation coupled with elasticity. (English) Zbl 1506.65130 J. Appl. Anal. 28, No. 2, 311-332 (2022). MSC: 65M06 65N06 65M12 65M15 35A01 35A02 74D10 74B20 35Q74 PDFBibTeX XMLCite \textit{K. Shimura} and \textit{S. Yoshikawa}, J. Appl. Anal. 28, No. 2, 311--332 (2022; Zbl 1506.65130) Full Text: DOI
Zhang, Fengxia; Zhao, Jianli A real structure-preserving algorithm based on the quaternion QR decomposition for the quaternion equality constrained least squares problem. (English) Zbl 1504.65098 Numer. Algorithms 91, No. 4, 1815-1827 (2022). MSC: 65F15 15B33 65F20 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{J. Zhao}, Numer. Algorithms 91, No. 4, 1815--1827 (2022; Zbl 1504.65098) Full Text: DOI
Wang, Gang; Zhang, Dong; Vasiliev, Vasily. I.; Jiang, Tongsong A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applications. (English) Zbl 1505.65157 Numer. Algorithms 91, No. 4, 1461-1481 (2022). MSC: 65F05 15B33 94A08 PDFBibTeX XMLCite \textit{G. Wang} et al., Numer. Algorithms 91, No. 4, 1461--1481 (2022; Zbl 1505.65157) Full Text: DOI
Ceruti, Gianluca; Kusch, Jonas; Lubich, Christian A rank-adaptive robust integrator for dynamical low-rank approximation. (English) Zbl 1507.65116 BIT 62, No. 4, 1149-1174 (2022). MSC: 65L05 15A69 65L20 65L70 65F55 PDFBibTeX XMLCite \textit{G. Ceruti} et al., BIT 62, No. 4, 1149--1174 (2022; Zbl 1507.65116) Full Text: DOI arXiv
Yue, Xiaopeng; Fu, Yayun Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions. (English) Zbl 1513.65428 Int. J. Comput. Math. 99, No. 12, 2367-2381 (2022). MSC: 65M70 65L05 PDFBibTeX XMLCite \textit{X. Yue} and \textit{Y. Fu}, Int. J. Comput. Math. 99, No. 12, 2367--2381 (2022; Zbl 1513.65428) Full Text: DOI
Brugnoli, Andrea; Rashad, Ramy; Stramigioli, Stefano Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus. (English) Zbl 07605575 J. Comput. Phys. 471, Article ID 111601, 37 p. (2022). MSC: 65Nxx 65Mxx 70Hxx PDFBibTeX XMLCite \textit{A. Brugnoli} et al., J. Comput. Phys. 471, Article ID 111601, 37 p. (2022; Zbl 07605575) Full Text: DOI arXiv
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method. (English) Zbl 07598348 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1521-1544 (2022). MSC: 65-XX 35B27 37A30 60H35 65M12 65M75 PDFBibTeX XMLCite \textit{Z. Wang} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1521--1544 (2022; Zbl 07598348) Full Text: DOI
Sun, Ziyu; Liu, Yang; Yin, Baoli; Li, Hong Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models. (English) Zbl 1524.65401 Comput. Math. Appl. 123, 40-58 (2022). MSC: 65M06 35R11 65M12 26A33 65D30 65M15 65F08 65F10 PDFBibTeX XMLCite \textit{Z. Sun} et al., Comput. Math. Appl. 123, 40--58 (2022; Zbl 1524.65401) Full Text: DOI
He, Qing; Hu, Jingwei; Zhou, Zhennan A structure preserving numerical scheme for Fokker-Planck equations of structured neural networks with learning rules. (English) Zbl 1506.65136 SIAM J. Sci. Comput. 44, No. 4, B1045-B1067 (2022). Reviewer: Marianne Bessemoulin-Chatard (Nantes) MSC: 65M08 68T07 35B09 35B40 35M13 92B20 35Q84 35Q92 35R60 PDFBibTeX XMLCite \textit{Q. He} et al., SIAM J. Sci. Comput. 44, No. 4, B1045--B1067 (2022; Zbl 1506.65136) Full Text: DOI arXiv
Jüngel, Ansgar; Stefanelli, Ulisse; Trussardi, Lara A minimizing-movements approach to GENERIC systems. (English) Zbl 1503.65313 Math. Eng. (Springfield) 4, No. 1, Paper No. 5, 18 p. (2022). MSC: 65P99 65L05 PDFBibTeX XMLCite \textit{A. Jüngel} et al., Math. Eng. (Springfield) 4, No. 1, Paper No. 5, 18 p. (2022; Zbl 1503.65313) Full Text: DOI arXiv
Bazavov, Alexei Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials. (English) Zbl 1502.65042 BIT 62, No. 3, 745-771 (2022). MSC: 65L06 65L05 65P10 34C40 37M15 PDFBibTeX XMLCite \textit{A. Bazavov}, BIT 62, No. 3, 745--771 (2022; Zbl 1502.65042) Full Text: DOI arXiv
Gu, Anjiao; He, Yang; Sun, Yajuan Hamiltonian particle-in-cell methods for Vlasov-Poisson equations. (English) Zbl 07568566 J. Comput. Phys. 467, Article ID 111472, 20 p. (2022). MSC: 35Qxx 65Mxx 82Cxx PDFBibTeX XMLCite \textit{A. Gu} et al., J. Comput. Phys. 467, Article ID 111472, 20 p. (2022; Zbl 07568566) Full Text: DOI arXiv
Liljegren-Sailer, Björn; Marheineke, Nicole On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks. (English) Zbl 07568382 J. Sci. Comput. 92, No. 2, Paper No. 62, 30 p. (2022). MSC: 65-XX 35L60 35R02 65N12 PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{N. Marheineke}, J. Sci. Comput. 92, No. 2, Paper No. 62, 30 p. (2022; Zbl 07568382) Full Text: DOI arXiv
Schlichting, André; Seis, Christian The Scharfetter-Gummel scheme for aggregation-diffusion equations. (English) Zbl 1503.65204 IMA J. Numer. Anal. 42, No. 3, 2361-2402 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M12 65M15 PDFBibTeX XMLCite \textit{A. Schlichting} and \textit{C. Seis}, IMA J. Numer. Anal. 42, No. 3, 2361--2402 (2022; Zbl 1503.65204) Full Text: DOI arXiv
Liljegren-Sailer, Björn; Marheineke, Nicole On port-Hamiltonian approximation of a nonlinear flow problem on networks. (English) Zbl 07556264 SIAM J. Sci. Comput. 44, No. 3, B834-B859 (2022). MSC: 65-XX 35L60 37L65 35R02 76Nxx PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{N. Marheineke}, SIAM J. Sci. Comput. 44, No. 3, B834--B859 (2022; Zbl 07556264) Full Text: DOI arXiv
Breiten, Tobias; Unger, Benjamin Passivity preserving model reduction via spectral factorization. (English) Zbl 1494.93024 Automatica 142, Article ID 110368, 12 p. (2022). MSC: 93B11 93B70 93D20 93C05 PDFBibTeX XMLCite \textit{T. Breiten} and \textit{B. Unger}, Automatica 142, Article ID 110368, 12 p. (2022; Zbl 1494.93024) Full Text: DOI arXiv
Campos Pinto, Martin; Kormann, Katharina; Sonnendrücker, Eric Variational framework for structure-preserving electromagnetic particle-in-cell methods. (English) Zbl 1494.35145 J. Sci. Comput. 91, No. 2, Paper No. 46, 39 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q61 35Q83 78A25 65M60 65M70 65M22 65D07 65T50 58A12 PDFBibTeX XMLCite \textit{M. Campos Pinto} et al., J. Sci. Comput. 91, No. 2, Paper No. 46, 39 p. (2022; Zbl 1494.35145) Full Text: DOI arXiv
Shi, Wei; Liu, Kai A dissipation-preserving integrator for damped oscillatory Hamiltonian systems. (English) Zbl 1499.65294 J. Comput. Math. 40, No. 4, 573-591 (2022). MSC: 65L05 65L07 65L20 65P10 PDFBibTeX XMLCite \textit{W. Shi} and \textit{K. Liu}, J. Comput. Math. 40, No. 4, 573--591 (2022; Zbl 1499.65294) Full Text: DOI
Zhang, Qianru; Tu, Bin; Fang, Qiaojun; Lu, Benzhuo A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation. (English) Zbl 1489.65150 J. Appl. Math. Comput. 68, No. 3, 1545-1564 (2022). MSC: 65M60 65M06 65M22 65N30 65K10 49N60 49K10 35Q81 PDFBibTeX XMLCite \textit{Q. Zhang} et al., J. Appl. Math. Comput. 68, No. 3, 1545--1564 (2022; Zbl 1489.65150) Full Text: DOI
Fu, Yichen; Zhang, Xin; Qin, Hong An explicitly solvable energy-conserving algorithm for pitch-angle scattering in magnetized plasmas. (English) Zbl 07524767 J. Comput. Phys. 449, Article ID 110767, 15 p. (2022). MSC: 65Mxx 35Qxx 82-XX PDFBibTeX XMLCite \textit{Y. Fu} et al., J. Comput. Phys. 449, Article ID 110767, 15 p. (2022; Zbl 07524767) Full Text: DOI arXiv
Wang, Yuchao; Wang, Lijin; Cao, Yanzhao Structure-preserving numerical methods for a class of stochastic Poisson systems. (English) Zbl 1490.60210 Int. J. Numer. Anal. Model. 19, No. 2-3, 194-219 (2022). MSC: 60H35 60H15 65C30 60H10 65D30 PDFBibTeX XMLCite \textit{Y. Wang} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 194--219 (2022; Zbl 1490.60210) Full Text: Link
Lyu, Xing-Long A structure-preserving algorithm for the linear lossless dissipative Hamiltonian eigenvalue problem. (English) Zbl 1492.65089 Ann. Math. Sci. Appl. 7, No. 1, 3-19 (2022). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{X.-L. Lyu}, Ann. Math. Sci. Appl. 7, No. 1, 3--19 (2022; Zbl 1492.65089) Full Text: DOI