Chen, Jing-Run; E, Weinan; Luo, Yi-Xin The random feature method for time-dependent problems. (English) Zbl 1527.65084 East Asian J. Appl. Math. 13, No. 3, 435-463 (2023). MSC: 65M20 65M55 65M70 PDFBibTeX XMLCite \textit{J.-R. Chen} et al., East Asian J. Appl. Math. 13, No. 3, 435--463 (2023; Zbl 1527.65084) Full Text: DOI arXiv
Landoulsi, Oussama; Roudenko, Svetlana; Yang, Kai Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation. (English) Zbl 1527.35383 Adv. Comput. Math. 49, No. 5, Paper No. 71, 44 p. (2023). MSC: 35Q55 35Q41 58J32 58J37 65N06 65M06 35B40 35C08 35C07 35B44 35A01 35A23 35R09 PDFBibTeX XMLCite \textit{O. Landoulsi} et al., Adv. Comput. Math. 49, No. 5, Paper No. 71, 44 p. (2023; Zbl 1527.35383) Full Text: DOI arXiv
Nakao, Mitsuhiro Existence and smoothing effects of the initial-boundary value problem for \(\partial u/\partial t-\Delta\sigma(u)=0\) in time-dependent domains. (English) Zbl 1522.35079 Opusc. Math. 43, No. 5, 703-734 (2023). MSC: 35B40 35K20 35K59 35K92 PDFBibTeX XMLCite \textit{M. Nakao}, Opusc. Math. 43, No. 5, 703--734 (2023; Zbl 1522.35079) Full Text: DOI
Allwright, Jane Reaction-diffusion on a time-dependent interval: refining the notion of ‘critical length’. (English) Zbl 1521.35213 Commun. Contemp. Math. 25, No. 9, Article ID 2250050, 11 p. (2023). MSC: 35R37 35B40 35K20 35K57 PDFBibTeX XMLCite \textit{J. Allwright}, Commun. Contemp. Math. 25, No. 9, Article ID 2250050, 11 p. (2023; Zbl 1521.35213) Full Text: DOI arXiv
Jakani, Manal System of nonlinear second-order parabolic partial differential equations with interconnected obstacles and oblique derivative boundary conditions on non-smooth time-dependent domains. (English) Zbl 1518.35224 Appl. Math. Optim. 88, No. 2, Paper No. 31, 39 p. (2023). MSC: 35D40 35K87 60J60 PDFBibTeX XMLCite \textit{M. Jakani}, Appl. Math. Optim. 88, No. 2, Paper No. 31, 39 p. (2023; Zbl 1518.35224) Full Text: DOI
Abgrall, Rémi; Han Veiga, Maria Neural network-based limiter with transfer learning. (English) Zbl 1524.65699 Commun. Appl. Math. Comput. 5, No. 2, 532-572 (2023). MSC: 65M99 65Y15 65Y20 68T07 35R02 65L06 65M60 PDFBibTeX XMLCite \textit{R. Abgrall} and \textit{M. Han Veiga}, Commun. Appl. Math. Comput. 5, No. 2, 532--572 (2023; Zbl 1524.65699) Full Text: DOI arXiv
Thi-Thao-Phuong Hoang; Pop, Iuliu Sorin Iterative methods with nonconforming time grids for nonlinear flow problems in porous media. (English) Zbl 1516.65082 Acta Math. Vietnam. 48, No. 1, 29-49 (2023). MSC: 65M55 65M60 65M06 65N30 65H10 65F10 65Y05 65M50 76S05 35K55 35Q35 PDFBibTeX XMLCite \textit{Thi-Thao-Phuong Hoang} and \textit{I. S. Pop}, Acta Math. Vietnam. 48, No. 1, 29--49 (2023; Zbl 1516.65082) Full Text: DOI
Kampschulte, Malte; Schwarzacher, Sebastian; Sperone, Gianmarco Unrestricted deformations of thin elastic structures interacting with fluids. (English. French summary) Zbl 1512.74026 J. Math. Pures Appl. (9) 173, 96-148 (2023). MSC: 74F10 74K10 76D03 35Q74 35Q30 PDFBibTeX XMLCite \textit{M. Kampschulte} et al., J. Math. Pures Appl. (9) 173, 96--148 (2023; Zbl 1512.74026) Full Text: DOI arXiv
Chakravarty, Sarbarish; Zowada, Michael Multi-lump wave patterns of KPI via integer partitions. (English) Zbl 1512.65237 Physica D 446, Article ID 133644, 18 p. (2023). Reviewer: Yinhua Xia (Hefei) MSC: 65M99 65H04 35B36 35C08 37K35 37K10 34M55 76L05 35Q53 35Q35 PDFBibTeX XMLCite \textit{S. Chakravarty} and \textit{M. Zowada}, Physica D 446, Article ID 133644, 18 p. (2023; Zbl 1512.65237) Full Text: DOI
Tian, Zhikun; Chen, Yanping; Wang, Jianyun A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods. (English) Zbl 1524.65602 Comput. Math. Appl. 130, 10-20 (2023). MSC: 65M60 65M06 65N30 65M12 35Q55 65M15 65M55 35Q41 65N50 PDFBibTeX XMLCite \textit{Z. Tian} et al., Comput. Math. Appl. 130, 10--20 (2023; Zbl 1524.65602) Full Text: DOI
Yang, Saisai; Zhang, Tusheng Strong solutions to reflecting stochastic differential equations with singular drift. (English) Zbl 1502.60098 Stochastic Processes Appl. 156, 126-155 (2023). MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{S. Yang} and \textit{T. Zhang}, Stochastic Processes Appl. 156, 126--155 (2023; Zbl 1502.60098) Full Text: DOI arXiv
Choi, Jongkeun; Dong, Hongjie; Li, Zongyuan Mixed boundary value problems for parabolic equations in Sobolev spaces with mixed-norms. (English) Zbl 1501.35243 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 5, 20 p. (2023). MSC: 35K20 35B65 35R05 PDFBibTeX XMLCite \textit{J. Choi} et al., Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 5, 20 p. (2023; Zbl 1501.35243) Full Text: DOI arXiv
Li, Kun; Huang, Ting-Zhu; Li, Liang; Zhao, Ying; Lanteri, Stéphane A non-intrusive model order reduction approach for parameterized time-domain Maxwell’s equations. (English) Zbl 1498.78046 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449-473 (2023). MSC: 78M34 78M10 65M60 65M99 65F20 78A25 60G15 62F15 35Q60 PDFBibTeX XMLCite \textit{K. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449--473 (2023; Zbl 1498.78046) Full Text: DOI
Boehm, Udo; Cox, Sonja; Gantner, Gregor; Stevenson, Rob Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. (English) Zbl 1507.65137 BIT 62, No. 4, 1355-1382 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65K10 65M12 35A15 35B65 35K08 60H30 65D05 92C20 92D25 35Q84 PDFBibTeX XMLCite \textit{U. Boehm} et al., BIT 62, No. 4, 1355--1382 (2022; Zbl 1507.65137) Full Text: DOI arXiv
Wang, Wei; Zhai, Jianliang; Zhang, Tusheng Stochastic two-dimensional Navier-Stokes equations on time-dependent domains. (English) Zbl 1502.35088 J. Theor. Probab. 35, No. 4, 2916-2939 (2022). MSC: 35Q30 76D05 60H15 35D35 35A01 35A02 60J65 35R60 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Theor. Probab. 35, No. 4, 2916--2939 (2022; Zbl 1502.35088) Full Text: DOI
Suleimanov, B. I. Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom. (English. Russian original) Zbl 1508.37081 St. Petersbg. Math. J. 33, No. 6, 995-1009 (2022); translation from Algebra Anal. 33, No. 6, 141-161 (2021). MSC: 37J65 34M55 34M25 34M30 34M56 35Q55 81S08 PDFBibTeX XMLCite \textit{B. I. Suleimanov}, St. Petersbg. Math. J. 33, No. 6, 995--1009 (2022; Zbl 1508.37081); translation from Algebra Anal. 33, No. 6, 141--161 (2021) Full Text: DOI
Pavlenko, V. A. Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of \(H^{3+2}\) Hamiltonian systems. (English. Russian original) Zbl 1516.35386 Theor. Math. Phys. 212, No. 3, 1181-1192 (2022); translation from Teor. Mat. Fiz. 212, No. 3, 340-353 (2022). MSC: 35Q55 37K10 37J65 34M55 34M56 PDFBibTeX XMLCite \textit{V. A. Pavlenko}, Theor. Math. Phys. 212, No. 3, 1181--1192 (2022; Zbl 1516.35386); translation from Teor. Mat. Fiz. 212, No. 3, 340--353 (2022) Full Text: DOI
Hu, Zheyuan; Jagtap, Ameya D.; Karniadakis, George Em; Kawaguchi, Kenji When do extended physics-informed neural networks (XPINNs) improve generalization? (English) Zbl 1498.65183 SIAM J. Sci. Comput. 44, No. 5, A3158-A3182 (2022). MSC: 65M99 68Q32 68T05 65M55 PDFBibTeX XMLCite \textit{Z. Hu} et al., SIAM J. Sci. Comput. 44, No. 5, A3158--A3182 (2022; Zbl 1498.65183) Full Text: DOI arXiv
Antoine, Xavier; Lorin, Emmanuel A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations. (English) Zbl 1507.65173 Appl. Numer. Math. 182, 248-264 (2022). Reviewer: Michael Jung (Dresden) MSC: 65M55 65M06 65N06 65M12 65M15 35Q55 35Q41 35Q79 26A33 35R11 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, Appl. Numer. Math. 182, 248--264 (2022; Zbl 1507.65173) Full Text: DOI
Babajanov, Bazar Atajanovich; Azamatov, Azizbek Shavkatovich Integration of the Kaup-Boussinesq system with a self-consistent source via inverse scattering method. (English) Zbl 1516.35293 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 32, No. 2, 153-170 (2022). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 35P25 34L25 35Q41 37K10 35R30 34M46 PDFBibTeX XMLCite \textit{B. A. Babajanov} and \textit{A. S. Azamatov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 32, No. 2, 153--170 (2022; Zbl 1516.35293) Full Text: DOI MNR
Wang, Yizheng; Sun, Jia; Li, Wei; Lu, Zaiyuan; Liu, Yinghua CENN: conservative energy method based on neural networks with subdomains for solving variational problems involving heterogeneous and complex geometries. (English) Zbl 1507.65216 Comput. Methods Appl. Mech. Eng. 400, Article ID 115491, 35 p. (2022). MSC: 65M99 68T07 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115491, 35 p. (2022; Zbl 1507.65216) Full Text: DOI arXiv
Liu, Tingting; Ma, Qiaozhen; Xu, Ling Attractor of the Kirchhoff type plate equation with memory and nonlinear damping on the whole time-dependent space. (English) Zbl 1498.35102 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7351-7372 (2022). MSC: 35B41 35L35 35L77 35R09 37B55 45K05 74K20 PDFBibTeX XMLCite \textit{T. Liu} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7351--7372 (2022; Zbl 1498.35102) Full Text: DOI
Wang, Wei; Zhai, Jianliang; Zhang, Tusheng Large deviations for stochastic \(2D\) Navier-Stokes equations on time-dependent domains. (English) Zbl 1500.60016 Commun. Pure Appl. Anal. 21, No. 10, 3479-3498 (2022). MSC: 60F10 53C35 35Q30 35R60 60J65 PDFBibTeX XMLCite \textit{W. Wang} et al., Commun. Pure Appl. Anal. 21, No. 10, 3479--3498 (2022; Zbl 1500.60016) Full Text: DOI
González-Gaxiola, O.; Biswas, Anjan; Yildirim, Yakup; Alshehri, Hashim M. Bright optical solitons with polynomial law of nonlinear refractive index by Adomian decomposition scheme. (English) Zbl 1502.78037 Proc. Est. Acad. Sci. 71, No. 3, 213-220 (2022). MSC: 78M99 65M55 78A60 35C08 35Q55 35Q41 PDFBibTeX XMLCite \textit{O. González-Gaxiola} et al., Proc. Est. Acad. Sci. 71, No. 3, 213--220 (2022; Zbl 1502.78037) Full Text: DOI
Chen, Chuanjun; Lou, Yuzhi; Zhang, Tong Two-grid Crank-Nicolson finite volume element method for the time-dependent Schrödinger equation. (English) Zbl 1513.65328 Adv. Appl. Math. Mech. 14, No. 6, 1357-1380 (2022). MSC: 65M08 65M06 65N08 65M15 65M12 65M50 65M55 35J05 35Q41 PDFBibTeX XMLCite \textit{C. Chen} et al., Adv. Appl. Math. Mech. 14, No. 6, 1357--1380 (2022; Zbl 1513.65328) Full Text: DOI
Hoang, Thi-Thao-Phuong Fully implicit local time-stepping methods for advection-diffusion problems in mixed formulations. (English) Zbl 1524.65925 Comput. Math. Appl. 118, 248-264 (2022). MSC: 65N55 65N30 65M55 65M12 76M10 65M06 65M60 76S05 35Q35 86A05 35Q86 PDFBibTeX XMLCite \textit{T.-T.-P. Hoang}, Comput. Math. Appl. 118, 248--264 (2022; Zbl 1524.65925) Full Text: DOI arXiv
Liu, Tao Parameter estimation with the multigrid-homotopy method for a nonlinear diffusion equation. (English) Zbl 1524.65479 J. Comput. Appl. Math. 413, Article ID 114393, 14 p. (2022). MSC: 65M32 35R30 65N21 76S05 65M55 65M99 65M12 76T06 PDFBibTeX XMLCite \textit{T. Liu}, J. Comput. Appl. Math. 413, Article ID 114393, 14 p. (2022; Zbl 1524.65479) Full Text: DOI
Plamenevskii, B. A.; Poretskii, A. S.; Sarafanov, O. V. Mathematical scattering theory in quantum and acoustic waveguides. (English. Russian original) Zbl 1489.35174 J. Math. Sci., New York 262, No. 3, 329-357 (2022); translation from Probl. Mat. Anal. 115, 87-110 (2022). MSC: 35P25 35J25 35Q41 PDFBibTeX XMLCite \textit{B. A. Plamenevskii} et al., J. Math. Sci., New York 262, No. 3, 329--357 (2022; Zbl 1489.35174); translation from Probl. Mat. Anal. 115, 87--110 (2022) Full Text: DOI
Henkes, Alexander; Wessels, Henning; Mahnken, Rolf Physics informed neural networks for continuum micromechanics. (English) Zbl 1507.74478 Comput. Methods Appl. Mech. Eng. 393, Article ID 114790, 22 p. (2022). MSC: 74S05 65M99 65M60 74M25 92B20 PDFBibTeX XMLCite \textit{A. Henkes} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114790, 22 p. (2022; Zbl 1507.74478) Full Text: DOI arXiv
Brügger, Rahel; Harbrecht, Helmut; Tausch, Johannes Boundary integral operators for the heat equation in time-dependent domains. (English) Zbl 1486.35482 Integral Equations Oper. Theory 94, No. 2, Paper No. 10, 28 p. (2022). MSC: 35R37 35K05 35K20 31B35 35S05 47G30 PDFBibTeX XMLCite \textit{R. Brügger} et al., Integral Equations Oper. Theory 94, No. 2, Paper No. 10, 28 p. (2022; Zbl 1486.35482) Full Text: DOI arXiv
Arshad, Muhammad Domain decomposition and expanded mixed method for parabolic partial differential equations. (English) Zbl 1503.65216 J. Comput. Appl. Math. 410, Article ID 114183, 19 p. (2022). MSC: 65M60 65M55 65M12 65M15 PDFBibTeX XMLCite \textit{M. Arshad}, J. Comput. Appl. Math. 410, Article ID 114183, 19 p. (2022; Zbl 1503.65216) Full Text: DOI
Corwin, Ivan Z.; Deift, Percy A.; Its, Alexander R. Harold Widom’s work in random matrix theory. (English) Zbl 1486.60011 Bull. Am. Math. Soc., New Ser. 59, No. 2, 155-173 (2022). Reviewer: Olivier Marchal (Saint-Etienne) MSC: 60B20 34M55 82C22 PDFBibTeX XMLCite \textit{I. Z. Corwin} et al., Bull. Am. Math. Soc., New Ser. 59, No. 2, 155--173 (2022; Zbl 1486.60011) Full Text: DOI arXiv
Chen, Chuanjun; Lou, Yuzhi; Hu, Hanzhang Two-grid finite volume element method for the time-dependent Schrödinger equation. (English) Zbl 1524.65491 Comput. Math. Appl. 108, 185-195 (2022). MSC: 65M55 65M60 65N30 65M12 65M15 35Q41 65M06 65M08 65N08 35Q60 65N50 PDFBibTeX XMLCite \textit{C. Chen} et al., Comput. Math. Appl. 108, 185--195 (2022; Zbl 1524.65491) Full Text: DOI
Min, Chao; Chen, Yang A note on the asymptotics of the Hankel determinant associated with time-dependent Jacobi polynomials. (English) Zbl 1482.42069 Proc. Am. Math. Soc. 150, No. 4, 1719-1728 (2022). MSC: 42C05 41A60 33E17 34M55 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, Proc. Am. Math. Soc. 150, No. 4, 1719--1728 (2022; Zbl 1482.42069) Full Text: DOI
Decleer, Pieter; Van Londersele, Arne; Rogier, Hendrik; Vande Ginste, Dries An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation. (English) Zbl 1477.65132 J. Comput. Appl. Math. 403, Article ID 113881, 19 p. (2022). MSC: 65M06 35B35 35R20 35Q41 82D77 PDFBibTeX XMLCite \textit{P. Decleer} et al., J. Comput. Appl. Math. 403, Article ID 113881, 19 p. (2022; Zbl 1477.65132) Full Text: DOI
Duhamel, D.; Mencik, J.-M. Time response analysis of periodic structures via wave-based absorbing boundary conditions. (English) Zbl 1507.74186 Eur. J. Mech., A, Solids 91, Article ID 104418, 13 p. (2022). MSC: 74J99 74K99 74S05 PDFBibTeX XMLCite \textit{D. Duhamel} and \textit{J. M. Mencik}, Eur. J. Mech., A, Solids 91, Article ID 104418, 13 p. (2022; Zbl 1507.74186) Full Text: DOI
Zelaya, K.; Marquette, I.; Hussin, V. Fourth Painlevé and Ermakov equations: quantum invariants and new exactly-solvable time-dependent Hamiltonians. (English) Zbl 1519.37073 J. Phys. A, Math. Theor. 54, No. 1, Article ID 015206, 29 p. (2021). MSC: 37J65 34M55 81R12 PDFBibTeX XMLCite \textit{K. Zelaya} et al., J. Phys. A, Math. Theor. 54, No. 1, Article ID 015206, 29 p. (2021; Zbl 1519.37073) Full Text: DOI arXiv
Gianazza, Ugo Carleson estimates for the singular parabolic \(p\)-Laplacian in time-dependent domains. (English) Zbl 1485.35084 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 4, 669-690 (2021). MSC: 35B45 35K92 35K67 35B65 PDFBibTeX XMLCite \textit{U. Gianazza}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 4, 669--690 (2021; Zbl 1485.35084) Full Text: DOI
Urazboev, Gaĭrat Urazalievich; Reĭimberganov, Anvar Aknazarovich; Babadzhanova, Aĭgul Kamildzhanovna Integration of the matrix nonlinear Schrödinger equation with a source. (English) Zbl 1476.35217 Izv. Irkutsk. Gos. Univ., Ser. Mat. 37, 63-76 (2021). MSC: 35Q41 35R30 34M46 PDFBibTeX XMLCite \textit{G. U. Urazboev} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 37, 63--76 (2021; Zbl 1476.35217) Full Text: DOI Link
Alam, Mohammad Prawesh; Begum, Tahera; Khan, Arshad A high-order numerical algorithm for solving Lane-Emden equations with various types of boundary conditions. (English) Zbl 1476.65275 Comput. Appl. Math. 40, No. 6, Paper No. 204, 28 p. (2021). MSC: 65M99 65N35 65N55 65L10 65L60 34B16 PDFBibTeX XMLCite \textit{M. P. Alam} et al., Comput. Appl. Math. 40, No. 6, Paper No. 204, 28 p. (2021; Zbl 1476.65275) Full Text: DOI
Bastidas Olivares, Manuela; Bringedal, Carina; Pop, Iuliu Sorin A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media. (English) Zbl 1508.65124 Appl. Math. Comput. 396, Article ID 125933, 24 p. (2021). MSC: 65M60 65M12 65M50 65M55 76S05 82C21 PDFBibTeX XMLCite \textit{M. Bastidas Olivares} et al., Appl. Math. Comput. 396, Article ID 125933, 24 p. (2021; Zbl 1508.65124) Full Text: DOI arXiv
Yang, Lei; Shen, Yedan; Hu, Zhicheng; Hu, Guanghui An implicit solver for the time-dependent Kohn-Sham equation. (English) Zbl 1488.65400 Numer. Math., Theory Methods Appl. 14, No. 1, 261-284 (2021). MSC: 65M55 65M50 65M60 65M06 65N30 35Q55 65Y05 PDFBibTeX XMLCite \textit{L. Yang} et al., Numer. Math., Theory Methods Appl. 14, No. 1, 261--284 (2021; Zbl 1488.65400) Full Text: DOI
Wu, Xiaoxia; Ma, Qiaozhen Time-dependent attractors of the wave equations with strong damping on \({R^n}\). (Chinese. English summary) Zbl 1488.35105 J. Shandong Univ., Nat. Sci. 56, No. 6, 22-29 (2021). MSC: 35B41 35L05 PDFBibTeX XMLCite \textit{X. Wu} and \textit{Q. Ma}, J. Shandong Univ., Nat. Sci. 56, No. 6, 22--29 (2021; Zbl 1488.35105)
Pang, Gang; Yang, Yibo; Antoine, Xavier; Tang, Shaoqiang Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain. (English) Zbl 1473.35141 Math. Comput. 90, No. 332, 2731-2756 (2021). MSC: 35J10 PDFBibTeX XMLCite \textit{G. Pang} et al., Math. Comput. 90, No. 332, 2731--2756 (2021; Zbl 1473.35141) Full Text: DOI
Wu, Xiaoxia; Ma, Qiaozhen Time-dependent attractors of wave equations with linear memory on \(\mathbb{R}^n\). (Chinese. English summary) Zbl 1474.35128 Math. Appl. 34, No. 1, 73-85 (2021). MSC: 35B41 35L05 PDFBibTeX XMLCite \textit{X. Wu} and \textit{Q. Ma}, Math. Appl. 34, No. 1, 73--85 (2021; Zbl 1474.35128)
Chen, Yangang; Wan, Justin W. L. Artificial viscosity joint spacetime multigrid method for Hamilton-Jacobi-Bellman and Kolmogorov-Fokker-Planck system arising from mean field games. (English) Zbl 1477.65154 J. Sci. Comput. 88, No. 1, Paper No. 10, 29 p. (2021). MSC: 65M55 65N50 65M06 65N06 65M12 42A38 35F21 91A16 91-08 82C31 35Q84 35Q91 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. W. L. Wan}, J. Sci. Comput. 88, No. 1, Paper No. 10, 29 p. (2021; Zbl 1477.65154) Full Text: DOI
Karmous, Mohamed; Khenissi, Moez On the nonlinear regularized Schrödinger equation in exterior domains. (English) Zbl 1471.35258 Tunis. J. Math. 3, No. 2, 361-393 (2021). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35B20 35B65 35Q41 47H10 35A01 35A02 PDFBibTeX XMLCite \textit{M. Karmous} and \textit{M. Khenissi}, Tunis. J. Math. 3, No. 2, 361--393 (2021; Zbl 1471.35258) Full Text: DOI
Pan, Xinghong Stability of smooth solutions for the compressible Euler equations with time-dependent damping and one-side physical vacuum. (English) Zbl 1460.35031 J. Differ. Equations 278, 146-188 (2021). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35B35 35Q31 35L65 35L67 35B20 PDFBibTeX XMLCite \textit{X. Pan}, J. Differ. Equations 278, 146--188 (2021; Zbl 1460.35031) Full Text: DOI
Wang, Renhai; Wang, Bixiang Random dynamics of non-autonomous fractional stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\). (English) Zbl 1456.35246 Banach J. Math. Anal. 15, No. 1, Paper No. 19, 42 p. (2021). MSC: 35R60 35R11 35K93 35K15 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{R. Wang} and \textit{B. Wang}, Banach J. Math. Anal. 15, No. 1, Paper No. 19, 42 p. (2021; Zbl 1456.35246) Full Text: DOI
Decleer, Pieter; Van Londersele, Arne; Rogier, Hendrik; Vande Ginste, Dries Nonuniform and higher-order FDTD methods for the Schrödinger equation. (English) Zbl 1465.65069 J. Comput. Appl. Math. 381, Article ID 113023, 18 p. (2021). MSC: 65M06 65N06 65M12 65M15 78A25 78M20 35Q41 PDFBibTeX XMLCite \textit{P. Decleer} et al., J. Comput. Appl. Math. 381, Article ID 113023, 18 p. (2021; Zbl 1465.65069) Full Text: DOI Link
Kreml, Ondřej; Nečasová, Šárka; Piasecki, Tomasz Local existence of strong solutions and weak-strong uniqueness for the compressible Navier-Stokes system on moving domains. (English) Zbl 1460.35259 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2255-2300 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76N10 35D35 PDFBibTeX XMLCite \textit{O. Kreml} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2255--2300 (2020; Zbl 1460.35259) Full Text: DOI arXiv
Eddahbi, M’hamed; Fakhouri, Imade; Ouknine, Youssef Reflected BSDEs with jumps in time-dependent convex càdlàg domains. (English) Zbl 1454.60076 Stochastic Processes Appl. 130, No. 11, 6515-6555 (2020). MSC: 60H10 60H20 PDFBibTeX XMLCite \textit{M. Eddahbi} et al., Stochastic Processes Appl. 130, No. 11, 6515--6555 (2020; Zbl 1454.60076) Full Text: DOI
Shojaei, Arman; Hermann, Alexander; Seleson, Pablo; Cyron, Christian J. Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models. (English) Zbl 1465.74017 Comput. Mech. 66, No. 4, 773-793 (2020). MSC: 74A70 74S05 PDFBibTeX XMLCite \textit{A. Shojaei} et al., Comput. Mech. 66, No. 4, 773--793 (2020; Zbl 1465.74017) Full Text: DOI
Deuflhard, Peter; Weiser, Martin Numerical mathematics 3: Adaptive numerical solution of partial differential equations. 2nd expanded edition. (Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) (German) Zbl 1451.65002 De Gruyter Studium. Berlin: De Gruyter (ISBN 978-3-11-069168-9/pbk; 978-3-11-068965-5/ebook). xvi, 456 p. (2020). MSC: 65-01 65N22 65M22 65M15 65M60 65N15 65N30 65N12 65F05 65F08 65N55 65N50 65N06 65N35 65Y15 35J05 35J60 35L05 35Q41 35Q30 35Q61 PDFBibTeX XMLCite \textit{P. Deuflhard} and \textit{M. Weiser}, Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen. 2nd expanded edition. Berlin: De Gruyter (2020; Zbl 1451.65002) Full Text: DOI
Li, Lei; Liu, Jian-Guo Large time behaviors of upwind schemes and \(B\)-schemes for Fokker-Planck equations on \(\mathbb{R}\) by jump processes. (English) Zbl 1442.65214 Math. Comput. 89, No. 325, 2283-2320 (2020). MSC: 65M12 65M75 65C05 60J74 35Q84 82C31 PDFBibTeX XMLCite \textit{L. Li} and \textit{J.-G. Liu}, Math. Comput. 89, No. 325, 2283--2320 (2020; Zbl 1442.65214) Full Text: DOI
Jagtap, Ameya D.; Kharazmi, Ehsan; Karniadakis, George Em Conservative physics-informed neural networks on discrete domains for conservation laws: applications to forward and inverse problems. (English) Zbl 1442.92002 Comput. Methods Appl. Mech. Eng. 365, Article ID 113028, 26 p. (2020). MSC: 92B20 92-08 65M99 68T07 76D05 PDFBibTeX XMLCite \textit{A. D. Jagtap} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 113028, 26 p. (2020; Zbl 1442.92002) Full Text: DOI
Yi, Wenfan; Cai, Yongyong Optimal error estimates of finite difference time domain methods for the Klein-Gordon-Dirac system. (English) Zbl 1466.65085 IMA J. Numer. Anal. 40, No. 2, 1266-1293 (2020). MSC: 65M06 65M12 65M15 35Q41 PDFBibTeX XMLCite \textit{W. Yi} and \textit{Y. Cai}, IMA J. Numer. Anal. 40, No. 2, 1266--1293 (2020; Zbl 1466.65085) Full Text: DOI
Li, Hongwei; Guo, Yue Numerical solution of coupled nonlinear Schrödinger equations on unbounded domains. (English) Zbl 1437.65105 Appl. Math. Lett. 104, Article ID 106286, 7 p. (2020). MSC: 65M06 65M85 65M12 35Q55 35Q41 35Q51 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Guo}, Appl. Math. Lett. 104, Article ID 106286, 7 p. (2020; Zbl 1437.65105) Full Text: DOI
Hu, Yunxia; Li, Hongwei; Jiang, Ziwen Efficient semi-implicit compact finite difference scheme for nonlinear Schrödinger equations on unbounded domain. (English) Zbl 1436.65103 Appl. Numer. Math. 153, 319-343 (2020). MSC: 65M06 35Q41 35Q55 PDFBibTeX XMLCite \textit{Y. Hu} et al., Appl. Numer. Math. 153, 319--343 (2020; Zbl 1436.65103) Full Text: DOI
Fotouhi, Morteza; Yousefnezhad, Mohsen Homogenization of a locally periodic time-dependent domain. (English) Zbl 1432.35017 Commun. Pure Appl. Anal. 19, No. 3, 1669-1695 (2020). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35K57 35Q74 74Q10 PDFBibTeX XMLCite \textit{M. Fotouhi} and \textit{M. Yousefnezhad}, Commun. Pure Appl. Anal. 19, No. 3, 1669--1695 (2020; Zbl 1432.35017) Full Text: DOI
Caponi, Maicol; Lucardesi, Ilaria; Tasso, Emanuele Energy-dissipation balance of a smooth moving crack. (English) Zbl 1457.74173 J. Math. Anal. Appl. 483, No. 2, Article ID 123656, 32 p. (2020). MSC: 74R10 74J99 74H35 PDFBibTeX XMLCite \textit{M. Caponi} et al., J. Math. Anal. Appl. 483, No. 2, Article ID 123656, 32 p. (2020; Zbl 1457.74173) Full Text: DOI arXiv
Hu, Hanzhang; Chen, Yanping Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method. (English) Zbl 1434.65185 J. Comput. Appl. Math. 364, Article ID 112333, 18 p. (2020). MSC: 65M60 65M55 65H10 65M12 35Q41 PDFBibTeX XMLCite \textit{H. Hu} and \textit{Y. Chen}, J. Comput. Appl. Math. 364, Article ID 112333, 18 p. (2020; Zbl 1434.65185) Full Text: DOI
El Jarroudi, Mustapha A mathematical model for turbulent transport through thin randomly oscillating layers surrounding a fixed domain. (English) Zbl 1514.82180 Physica A 520, 178-195 (2019). MSC: 82C70 35B25 35K51 60H30 PDFBibTeX XMLCite \textit{M. El Jarroudi}, Physica A 520, 178--195 (2019; Zbl 1514.82180) Full Text: DOI
Zhang, Yong; Sun, HongGuang; Zheng, Chunmiao Lagrangian solver for vector fractional diffusion in bounded anisotropic aquifers: development and application. (English) Zbl 1439.26029 Fract. Calc. Appl. Anal. 22, No. 6, 1607-1640 (2019). Reviewer: Devendra Singh Chouhan (Indore) MSC: 26A33 34A08 34A34 35R11 60G22 65L10 82C70 86A05 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Fract. Calc. Appl. Anal. 22, No. 6, 1607--1640 (2019; Zbl 1439.26029) Full Text: DOI
Ivančić, Filip; Sheu, Tony W. H.; Solovchuk, Maxim The free surface effect on a chemotaxis-diffusion-convection coupling system. (English) Zbl 1441.76148 Comput. Methods Appl. Mech. Eng. 356, 387-406 (2019). MSC: 76Z05 92C17 PDFBibTeX XMLCite \textit{F. Ivančić} et al., Comput. Methods Appl. Mech. Eng. 356, 387--406 (2019; Zbl 1441.76148) Full Text: DOI
Raza, Akmal; Khan, Arshad Approximate solution of higher order two point boundary value problems using uniform Haar wavelet collocation method. (English) Zbl 1429.65264 Singh, Jagdev (ed.) et al., Mathematical modelling, applied analysis and computation. Selected papers of the first international conference, ICMMAAC 2018, JECRC University, Jaipur, India, July 6–8, 2018. Singapore: Springer. Springer Proc. Math. Stat. 272, 209-220 (2019). MSC: 65M99 65N35 65N55 65L10 65T60 PDFBibTeX XMLCite \textit{A. Raza} and \textit{A. Khan}, Springer Proc. Math. Stat. 272, 209--220 (2019; Zbl 1429.65264) Full Text: DOI
Ma, Ying; Yin, Jia Error bounds of the finite difference time domain methods for the Dirac equation in the semiclassical regime. (English) Zbl 1453.65228 J. Sci. Comput. 81, No. 3, 1801-1822 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 35Q41 65M15 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{J. Yin}, J. Sci. Comput. 81, No. 3, 1801--1822 (2019; Zbl 1453.65228) Full Text: DOI
Zhao, Qiang; Liu, Hongyan Dipolar-induced formation of domain in spin-2 Bose-Einstein condensates. (English) Zbl 1421.35348 Int. J. Theor. Phys. 58, No. 4, 1108-1116 (2019). MSC: 35Q55 35Q82 82C22 82C27 PDFBibTeX XMLCite \textit{Q. Zhao} and \textit{H. Liu}, Int. J. Theor. Phys. 58, No. 4, 1108--1116 (2019; Zbl 1421.35348) Full Text: DOI
Ivančić, Filip; Sheu, Tony W.-H.; Solovchuk, Maxim Arbitrary Lagrangian Eulerian-type finite element methods formulation for PDEs on time-dependent domains with vanishing discrete space conservation law. (English) Zbl 1447.65079 SIAM J. Sci. Comput. 41, No. 3, A1548-A1573 (2019). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M60 35Q30 35Q35 65M06 65N30 PDFBibTeX XMLCite \textit{F. Ivančić} et al., SIAM J. Sci. Comput. 41, No. 3, A1548--A1573 (2019; Zbl 1447.65079) Full Text: DOI arXiv
Liu, Tingting; Ma, Qiaozhen Time-dependent attractor for plate equations on \(\mathbb{R}^n\). (English) Zbl 1432.35028 J. Math. Anal. Appl. 479, No. 1, 315-332 (2019). MSC: 35B41 74K20 35L30 35L76 PDFBibTeX XMLCite \textit{T. Liu} and \textit{Q. Ma}, J. Math. Anal. Appl. 479, No. 1, 315--332 (2019; Zbl 1432.35028) Full Text: DOI
Gao, Huadong; Ju, Lili; Xie, Wen A stabilized semi-implicit Euler gauge-invariant method for the time-dependent Ginzburg-Landau equations. (English) Zbl 1426.82074 J. Sci. Comput. 80, No. 2, 1083-1115 (2019). Reviewer: Ivan A. Parinov (Rostov-na-Donu) MSC: 82D55 35Q56 82M20 82M10 65M06 65M60 PDFBibTeX XMLCite \textit{H. Gao} et al., J. Sci. Comput. 80, No. 2, 1083--1115 (2019; Zbl 1426.82074) Full Text: DOI
Epshteyn, Yekaterina; Xia, Qing Efficient numerical algorithms based on difference potentials for chemotaxis systems in 3D. (English) Zbl 1418.92003 J. Sci. Comput. 80, No. 1, 26-59 (2019). MSC: 92-08 65M06 65M70 65M99 92C17 35K57 PDFBibTeX XMLCite \textit{Y. Epshteyn} and \textit{Q. Xia}, J. Sci. Comput. 80, No. 1, 26--59 (2019; Zbl 1418.92003) Full Text: DOI arXiv
Mahmood, Shahid; Shah, Rasool; khan, Hassan; Arif, Muhammad Laplace Adomian decomposition method for multi dimensional time fractional model of Navier-Stokes equation. (English) Zbl 1416.65399 Symmetry 11, No. 2, Paper No. 149, 15 p. (2019). MSC: 65M99 65M55 35R11 35Q30 PDFBibTeX XMLCite \textit{S. Mahmood} et al., Symmetry 11, No. 2, Paper No. 149, 15 p. (2019; Zbl 1416.65399) Full Text: DOI
Antoine, X.; Lorin, E. On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation. (English) Zbl 1419.65049 J. Comput. Appl. Math. 354, 15-30 (2019). MSC: 65M55 65M12 65M06 65Y05 35Q41 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, J. Comput. Appl. Math. 354, 15--30 (2019; Zbl 1419.65049) Full Text: DOI HAL
Lorin, Emmanuel Domain decomposition method for the \(N\)-body time-independent and time-dependent Schrödinger equations. (English) Zbl 1432.65143 Numer. Algorithms 81, No. 2, 655-694 (2019). MSC: 65M55 35Q41 65M60 PDFBibTeX XMLCite \textit{E. Lorin}, Numer. Algorithms 81, No. 2, 655--694 (2019; Zbl 1432.65143) Full Text: DOI arXiv
Lundström, Niklas L. P.; Önskog, Thomas Stochastic and partial differential equations on non-smooth time-dependent domains. (English) Zbl 1478.60179 Stochastic Processes Appl. 129, No. 4, 1097-1131 (2019). MSC: 60H10 35B51 35D40 35K55 35R60 PDFBibTeX XMLCite \textit{N. L. P. Lundström} and \textit{T. Önskog}, Stochastic Processes Appl. 129, No. 4, 1097--1131 (2019; Zbl 1478.60179) Full Text: DOI arXiv
Jleli, Mohamed; Samet, Bessem On the critical exponent for nonlinear Schrödinger equations without gauge invariance in exterior domains. (English) Zbl 1404.35417 J. Math. Anal. Appl. 469, No. 1, 188-201 (2019). MSC: 35Q55 35B33 35Q41 35D30 PDFBibTeX XMLCite \textit{M. Jleli} and \textit{B. Samet}, J. Math. Anal. Appl. 469, No. 1, 188--201 (2019; Zbl 1404.35417) Full Text: DOI
Fakhouri, Imade; Ouknine, Youssef; Ren, Yong Reflected backward stochastic differential equations with jumps in time-dependent random convex domains. (English) Zbl 1492.60165 Stochastics 90, No. 2, 256-296 (2018). MSC: 60H10 60H20 PDFBibTeX XMLCite \textit{I. Fakhouri} et al., Stochastics 90, No. 2, 256--296 (2018; Zbl 1492.60165) Full Text: DOI arXiv
Xu, Chao; Zhou, Jiaquan; Shi, Dongyang; Zhang, Houchao Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation. (English) Zbl 1499.65540 Bound. Value Probl. 2018, Paper No. 174, 17 p. (2018). MSC: 65M60 65M06 65N30 65N55 65M12 65M15 35Q55 35Q41 PDFBibTeX XMLCite \textit{C. Xu} et al., Bound. Value Probl. 2018, Paper No. 174, 17 p. (2018; Zbl 1499.65540) Full Text: DOI
Yang, Yanfang; Chung, Eric T.; Fu, Shubin An enriched multiscale mortar space for high contrast flow problems. (English) Zbl 1488.65477 Commun. Comput. Phys. 23, No. 2, 476-499 (2018). MSC: 65M60 65M99 65M55 65F08 65F10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Commun. Comput. Phys. 23, No. 2, 476--499 (2018; Zbl 1488.65477) Full Text: DOI arXiv
Pavlenko, Viktor Aleksandrovich; Suleĭmanov, Bulat Irekovich Solutions to analogues of non-stationary Schrödinger equations defined by isomonodromic Hamilton system \(H^{2+1+1+1}\). (Russian. English summary) Zbl 1463.34368 Ufim. Mat. Zh. 10, No. 4, 92-102 (2018); translation in Ufa Math. J. 10, No. 4, 92-102 (2018). MSC: 34M56 35Q41 34M55 PDFBibTeX XMLCite \textit{V. A. Pavlenko} and \textit{B. I. Suleĭmanov}, Ufim. Mat. Zh. 10, No. 4, 92--102 (2018; Zbl 1463.34368); translation in Ufa Math. J. 10, No. 4, 92--102 (2018) Full Text: DOI MNR
Pasetto, Marco; Leng, Yu; Chen, Jiun-Shyan; Foster, John T.; Seleson, Pablo A reproducing kernel enhanced approach for peridynamic solutions. (English) Zbl 1440.74478 Comput. Methods Appl. Mech. Eng. 340, 1044-1078 (2018). MSC: 74S99 65M99 74A45 PDFBibTeX XMLCite \textit{M. Pasetto} et al., Comput. Methods Appl. Mech. Eng. 340, 1044--1078 (2018; Zbl 1440.74478) Full Text: DOI Link
Balázsová, Monika; Feistauer, Miloslav; Vlasák, Miloslav Stability of the ALE space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains. (English) Zbl 1417.65166 ESAIM, Math. Model. Numer. Anal. 52, No. 6, 2327-2356 (2018). MSC: 65M60 65M99 65M12 PDFBibTeX XMLCite \textit{M. Balázsová} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 6, 2327--2356 (2018; Zbl 1417.65166) Full Text: DOI Link
Balázsová, Monika; Feistauer, Miloslav; Horáček, Jaromír; Hadrava, Martin; Kosík, Adam Space-time discontinuous Galerkin method for the solution of fluid-structure interaction. (English) Zbl 1499.65479 Appl. Math., Praha 63, No. 6, 739-764 (2018). MSC: 65M60 65M06 65N30 74B05 74B20 74F10 76A15 PDFBibTeX XMLCite \textit{M. Balázsová} et al., Appl. Math., Praha 63, No. 6, 739--764 (2018; Zbl 1499.65479) Full Text: DOI
Fan, Wenping; Qi, Haitao An efficient finite element method for the two-dimensional nonlinear time-space fractional Schrödinger equation on an irregular convex domain. (English) Zbl 1412.65140 Appl. Math. Lett. 86, 103-110 (2018). MSC: 65M60 65M06 35R11 35Q41 65M12 65M15 PDFBibTeX XMLCite \textit{W. Fan} and \textit{H. Qi}, Appl. Math. Lett. 86, 103--110 (2018; Zbl 1412.65140) Full Text: DOI
Magoulès, Frédéric; Gbikpi-Benissan, Guillaume Asynchronous parareal time discretization for partial differential equations. (English) Zbl 1404.65155 SIAM J. Sci. Comput. 40, No. 6, C704-C725 (2018). MSC: 65M55 65M22 65Y05 65Y20 PDFBibTeX XMLCite \textit{F. Magoulès} and \textit{G. Gbikpi-Benissan}, SIAM J. Sci. Comput. 40, No. 6, C704--C725 (2018; Zbl 1404.65155) Full Text: DOI arXiv
Bellassoued, Mourad; Kian, Yavar; Soccorsi, Éric An inverse problem for the magnetic Schrödinger equation in infinite cylindrical domains. (English) Zbl 1405.35255 Publ. Res. Inst. Math. Sci. 54, No. 4, 679-728 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35R30 35Q41 PDFBibTeX XMLCite \textit{M. Bellassoued} et al., Publ. Res. Inst. Math. Sci. 54, No. 4, 679--728 (2018; Zbl 1405.35255) Full Text: DOI arXiv
Zhou, Feng; Sun, Chunyou; Li, Xin Dynamics for the damped wave equations on time-dependent domains. (English) Zbl 1395.35148 Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1645-1674 (2018). MSC: 35L70 35L90 37L30 PDFBibTeX XMLCite \textit{F. Zhou} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1645--1674 (2018; Zbl 1395.35148) Full Text: DOI
Arjmand, Doghonay; Poluektov, Mikhail; Kreiss, Gunilla Atomistic-continuum multiscale modelling of magnetisation dynamics at non-zero temperature. (English) Zbl 1394.82016 Adv. Comput. Math. 44, No. 4, 1119-1151 (2018). MSC: 82C80 65C20 65M55 82C31 82D40 PDFBibTeX XMLCite \textit{D. Arjmand} et al., Adv. Comput. Math. 44, No. 4, 1119--1151 (2018; Zbl 1394.82016) Full Text: DOI arXiv
Magoulès, Frédéric; Gbikpi-Benissan, Guillaume; Zou, Qinmeng Asynchronous iterations of parareal algorithm for option pricing models. (English) Zbl 1390.91323 Mathematics 6, No. 4, Paper No. 45, 18 p. (2018). MSC: 91G60 65M55 91G20 PDFBibTeX XMLCite \textit{F. Magoulès} et al., Mathematics 6, No. 4, Paper No. 45, 18 p. (2018; Zbl 1390.91323) Full Text: DOI
Borrelli, William Multiple solutions for a self-consistent Dirac equation in two dimensions. (English) Zbl 1393.81013 J. Math. Phys. 59, No. 4, 041503, 13 p. (2018). Reviewer: Piotr Garbaczewski (Opole) MSC: 81Q10 82C70 82D80 35Q55 35L86 81Q05 46E39 47A10 47B06 35S15 PDFBibTeX XMLCite \textit{W. Borrelli}, J. Math. Phys. 59, No. 4, 041503, 13 p. (2018; Zbl 1393.81013) Full Text: DOI arXiv
Toundykov, Daniel; Zolésio, Jean-Paul Stabilization of wave dynamics by moving boundary. (English) Zbl 1516.35565 Nonlinear Anal., Real World Appl. 39, 213-232 (2018). MSC: 35R37 35L20 PDFBibTeX XMLCite \textit{D. Toundykov} and \textit{J.-P. Zolésio}, Nonlinear Anal., Real World Appl. 39, 213--232 (2018; Zbl 1516.35565) Full Text: DOI
Quarteroni, Alfio Numerical models for differential problems. 3rd edition. (English) Zbl 1436.65003 MS&A. Modeling, Simulation and Applications 16. Cham: Springer (ISBN 978-3-319-49315-2/hbk; 978-3-319-49316-9/ebook). xvii, 692 p. (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-01 65Mxx 65Nxx 76D05 76M10 76M12 76M22 65D07 65K10 PDFBibTeX XMLCite \textit{A. Quarteroni}, Numerical models for differential problems. 3rd edition. Cham: Springer (2018; Zbl 1436.65003) Full Text: DOI
Roberts, A. J.; Bunder, J. E. Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains. (English) Zbl 1486.82036 IMA J. Appl. Math. 82, No. 5, 971-1012 (2017). MSC: 82C41 82C31 35Q84 35A24 41A58 68W30 37D10 60G50 PDFBibTeX XMLCite \textit{A. J. Roberts} and \textit{J. E. Bunder}, IMA J. Appl. Math. 82, No. 5, 971--1012 (2017; Zbl 1486.82036) Full Text: DOI arXiv
Cosimo, Alejandro; Cardona, Alberto; Idelsohn, Sergio Global-local ROM for the solution of parabolic problems with highly concentrated moving sources. (English) Zbl 1439.65110 Comput. Methods Appl. Mech. Eng. 326, 739-756 (2017). MSC: 65M60 65M55 65M99 PDFBibTeX XMLCite \textit{A. Cosimo} et al., Comput. Methods Appl. Mech. Eng. 326, 739--756 (2017; Zbl 1439.65110) Full Text: DOI
Cho, Heyrim; Venturi, Daniele; Karniadakis, George Em Numerical methods for high-dimensional kinetic equations. (English) Zbl 1404.65117 Jin, Shi (ed.) et al., Uncertainty quantification for hyperbolic and kinetic equations. Cham: Springer (ISBN 978-3-319-67109-3/hbk; 978-3-319-67110-9/ebook). SEMA SIMAI Springer Series 14, 93-125 (2017). MSC: 65M12 35R60 76P05 82C31 65M50 65M06 65D32 65M55 15A69 41A63 65M70 65M60 65L05 PDFBibTeX XMLCite \textit{H. Cho} et al., SEMA SIMAI Springer Ser. 14, 93--125 (2017; Zbl 1404.65117) Full Text: DOI
Im, Dong Kyun; Choi, Seongim; McClure, James; Park, Soo Hyung Numerical analysis of synthetic jet flows using a diagonally implicit harmonic balance method with preconditioning. (English) Zbl 1390.76674 Comput. Fluids 147, 12-24 (2017). MSC: 76M25 76N25 65M99 76F60 PDFBibTeX XMLCite \textit{D. K. Im} et al., Comput. Fluids 147, 12--24 (2017; Zbl 1390.76674) Full Text: DOI
Comets, Francis; Popov, Serguei The vacant set of two-dimensional critical random interlacement is infinite. (English) Zbl 1409.60140 Ann. Probab. 45, No. 6B, 4752-4785 (2017). MSC: 60K35 60G50 82C41 PDFBibTeX XMLCite \textit{F. Comets} and \textit{S. Popov}, Ann. Probab. 45, No. 6B, 4752--4785 (2017; Zbl 1409.60140) Full Text: DOI arXiv Euclid
Wegmann, David; Farwig, Reinhard; Kozono, Hideo Decay of non-stationary Navier-Stokes flow with nonzero Dirichlet boundary data. (English) Zbl 1390.35238 Indiana Univ. Math. J. 66, No. 6, 2169-2185 (2017). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76D05 35B40 35J65 PDFBibTeX XMLCite \textit{D. Wegmann} et al., Indiana Univ. Math. J. 66, No. 6, 2169--2185 (2017; Zbl 1390.35238) Full Text: DOI Link Link
Sauter, S. A.; Schanz, M. Convolution quadrature for the wave equation with impedance boundary conditions. (English) Zbl 1375.35395 J. Comput. Phys. 334, 442-459 (2017). MSC: 35Q35 65M99 35A22 35C05 76Q05 PDFBibTeX XMLCite \textit{S. A. Sauter} and \textit{M. Schanz}, J. Comput. Phys. 334, 442--459 (2017; Zbl 1375.35395) Full Text: DOI Link