Shi, Pengpeng; Zeng, Zhi; Liang, Tianshou Physics-informed ConvNet: learning physical field from a shallow neural network. (English) Zbl 07822386 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107911, 28 p. (2024). MSC: 65M99 68T05 65M06 65N06 65D05 65M12 41A58 60F10 34A34 35Q79 35Q55 35Q41 35R02 PDFBibTeX XMLCite \textit{P. Shi} et al., Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107911, 28 p. (2024; Zbl 07822386) Full Text: DOI arXiv
De Ryck, Tim; Mishra, Siddhartha; Molinaro, Roberto wPINNs: weak physics informed neural networks for approximating entropy solutions of hyperbolic conservation laws. (English) Zbl 07821074 SIAM J. Numer. Anal. 62, No. 2, 811-841 (2024). MSC: 65M99 68T07 49J35 65M15 35D30 35B44 35B65 76P05 76L05 35R30 35Q53 35Q35 PDFBibTeX XMLCite \textit{T. De Ryck} et al., SIAM J. Numer. Anal. 62, No. 2, 811--841 (2024; Zbl 07821074) Full Text: DOI arXiv
Gaby, Nathan; Ye, Xiaojing; Zhou, Haomin Neural control of parametric solutions for high-dimensional evolution PDEs. (English) Zbl 07816745 SIAM J. Sci. Comput. 46, No. 2, C155-C185 (2024). MSC: 65M99 65M15 65C05 65K10 35K58 68Q32 68T07 33C20 PDFBibTeX XMLCite \textit{N. Gaby} et al., SIAM J. Sci. Comput. 46, No. 2, C155--C185 (2024; Zbl 07816745) Full Text: DOI arXiv
Lin, Shuning; Chen, Yong Gradient-enhanced physics-informed neural networks based on transfer learning for inverse problems of the variable coefficient differential equations. (English) Zbl 07814534 Physica D 459, Article ID 134023, 21 p. (2024). MSC: 35Q55 35Q41 35R30 35C08 68T07 78A60 76U65 65K10 65M99 35R60 PDFBibTeX XMLCite \textit{S. Lin} and \textit{Y. Chen}, Physica D 459, Article ID 134023, 21 p. (2024; Zbl 07814534) Full Text: DOI arXiv
Zheng, Haoyang; Huang, Yao; Huang, Ziyang; Hao, Wenrui; Lin, Guang HomPINNs: homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions. (English) Zbl 07811337 J. Comput. Phys. 500, Article ID 112751, 16 p. (2024). MSC: 65Nxx 68Txx 35Qxx PDFBibTeX XMLCite \textit{H. Zheng} et al., J. Comput. Phys. 500, Article ID 112751, 16 p. (2024; Zbl 07811337) Full Text: DOI arXiv
Pourbashash, Hosein; Khaksar-e Oshagh, Mahmood; Asadollahi, Somayyeh An efficient adaptive wavelet method for pricing time-fractional American option variational inequality. (English) Zbl 07811157 Comput. Methods Differ. Equ. 12, No. 1, 173-188 (2024). MSC: 65K10 49J40 35K85 PDFBibTeX XMLCite \textit{H. Pourbashash} et al., Comput. Methods Differ. Equ. 12, No. 1, 173--188 (2024; Zbl 07811157) Full Text: DOI
Zhou, Han; Ying, Wenjun A correction function-based kernel-free boundary integral method for elliptic PDEs with implicitly defined interfaces. (English) Zbl 07807974 J. Comput. Phys. 496, Article ID 112545, 18 p. (2024). MSC: 65Nxx 35Jxx 76Mxx PDFBibTeX XMLCite \textit{H. Zhou} and \textit{W. Ying}, J. Comput. Phys. 496, Article ID 112545, 18 p. (2024; Zbl 07807974) Full Text: DOI arXiv
do Carmo, E. G. Dutra; Fontes, E. F.; Mansur, W. J.; Santos, M. F. F. Analysis of steady-state nonlinear problems via gradual introduction of nonlinearity. (English) Zbl 07784290 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107644, 18 p. (2024). MSC: 65M99 65N99 35A35 PDFBibTeX XMLCite \textit{E. G. D. do Carmo} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107644, 18 p. (2024; Zbl 07784290) Full Text: DOI
Boureghda, Abdellatif; Djellab, Nadjate Du Fort-Frankel finite difference scheme for solving of oxygen diffusion problem inside one cell. (English) Zbl 07803543 J. Comput. Theor. Transp. 52, No. 5, 363-373 (2023). MSC: 82-XX 35R35 35R37 80A22 65M06 65N06 PDFBibTeX XMLCite \textit{A. Boureghda} and \textit{N. Djellab}, J. Comput. Theor. Transp. 52, No. 5, 363--373 (2023; Zbl 07803543) Full Text: DOI
Trofimov, Vyacheslav; Loginova, Maria; Egorenkov, Vladimir; Yang, Yongqiang; Wang, Meng Cross-impact of beam local wavenumbers on the efficiency of self-adaptive artificial boundary conditions for two-dimensional nonlinear Schrödinger equation. (English) Zbl 07795461 Math. Methods Appl. Sci. 46, No. 15, 16006-16036 (2023). MSC: 65N06 35M33 35Q60 35Q41 PDFBibTeX XMLCite \textit{V. Trofimov} et al., Math. Methods Appl. Sci. 46, No. 15, 16006--16036 (2023; Zbl 07795461) Full Text: DOI
Parolin, Emile; Huybrechs, Daan; Moiola, Andrea Stable approximation of Helmholtz solutions in the disk by evanescent plane waves. (English) Zbl 07792494 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3499-3536 (2023). MSC: 35J05 46E22 PDFBibTeX XMLCite \textit{E. Parolin} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3499--3536 (2023; Zbl 07792494) Full Text: DOI arXiv
Karta, Melike A numerical algorithm for solitary wave solutions of the GEW equation. (English) Zbl 07789670 Afr. Mat. 34, No. 4, Paper No. 90, 16 p. (2023). MSC: 65M70 35C08 35Q53 65D07 PDFBibTeX XMLCite \textit{M. Karta}, Afr. Mat. 34, No. 4, Paper No. 90, 16 p. (2023; Zbl 07789670) Full Text: DOI
Bradji, Abdallah; Lesnic, Daniel Steady-state inhomogeneous diffusion with generalized oblique boundary conditions. (English) Zbl 07787594 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2701-2733 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65N08 65N21 65M12 35J05 35A01 35A02 PDFBibTeX XMLCite \textit{A. Bradji} and \textit{D. Lesnic}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2701--2733 (2023; Zbl 07787594) Full Text: DOI
Zhao, Meiling; He, Jiahui; Wang, Liqun Numerical solutions of the electromagnetic scattering by overfilled cavities with inhomogeneous anisotropic media. (English) Zbl 07784443 Commun. Comput. Phys. 34, No. 2, 530-562 (2023). MSC: 65-XX 35Q61 78A45 78M30 PDFBibTeX XMLCite \textit{M. Zhao} et al., Commun. Comput. Phys. 34, No. 2, 530--562 (2023; Zbl 07784443) Full Text: DOI
Zhang, Huili; Feng, Xinlong; Wang, Kun Anisotropic immersed finite element methods for 1D elliptic interface systems. (English) Zbl 07779720 Numer. Methods Partial Differ. Equations 39, No. 1, 523-543 (2023). MSC: 65N30 65N15 65D05 35J15 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{H. Zhang} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 523--543 (2023; Zbl 07779720) Full Text: DOI
Takhirov, Aziz; Trenchea, Catalin; Waters, Jiajia Second-order efficient nonlinear filter stabilization for high Reynolds number flows. (English) Zbl 07779701 Numer. Methods Partial Differ. Equations 39, No. 1, 90-107 (2023). MSC: 65M06 76D07 76F65 65D05 65M12 35Q35 PDFBibTeX XMLCite \textit{A. Takhirov} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 90--107 (2023; Zbl 07779701) Full Text: DOI
Zhu, Xingwen; Hu, Xiaozhe; Sun, Pengtao Physics-informed neural networks for solving dynamic two-phase interface problems. (English) Zbl 1528.35105 SIAM J. Sci. Comput. 45, No. 6, A2912-A2944 (2023). MSC: 35Q30 65N99 65M06 65K10 65M15 68T07 68Q32 74F10 76D05 76T06 82C32 PDFBibTeX XMLCite \textit{X. Zhu} et al., SIAM J. Sci. Comput. 45, No. 6, A2912--A2944 (2023; Zbl 1528.35105) Full Text: DOI arXiv
Saka, Bülent; Dağ, İdris; Hepson, Ozlem Ersoy Integration of the RLW equation using higher-order predictor-corrector scheme and quintic B-spline collocation method. (English) Zbl 07777627 Math. Sci., Springer 17, No. 4, 491-502 (2023). MSC: 65M70 65M06 65L06 65N30 35Q53 PDFBibTeX XMLCite \textit{B. Saka} et al., Math. Sci., Springer 17, No. 4, 491--502 (2023; Zbl 07777627) Full Text: DOI
Mittal, A. K.; Balyan, L. K.; Sharma, K. K. A spectrally accurate time-space pseudospectral method for viscous Burgers’ equation. (English) Zbl 07777358 Numer. Methods Partial Differ. Equations 39, No. 4, 3356-3374 (2023). MSC: 65M70 65N35 65M15 65H10 35K59 35Q53 PDFBibTeX XMLCite \textit{A. K. Mittal} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3356--3374 (2023; Zbl 07777358) Full Text: DOI
Yang, Jiming; Zhou, Jing; Su, Yifan A two-grid discontinuous Galerkin method for an incompressible miscible displacement problem. (English) Zbl 07777333 Numer. Methods Partial Differ. Equations 39, No. 4, 2763-2786 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Yang} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 2763--2786 (2023; Zbl 07777333) Full Text: DOI
Bürger, Raimund; Valbuena, Sonia; Vega, Carlos A. A well-balanced and entropy stable scheme for a reduced blood flow model. (English) Zbl 07777015 Numer. Methods Partial Differ. Equations 39, No. 3, 2491-2509 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. Bürger} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2491--2509 (2023; Zbl 07777015) Full Text: DOI
Verma, Amit Kumar; Rawani, Mukesh Kumar Numerical solutions of generalized Rosenau-KDV-RLW equation by using Haar wavelet collocation approach coupled with nonstandard finite difference scheme and quasilinearization. (English) Zbl 07776954 Numer. Methods Partial Differ. Equations 39, No. 2, 1085-1107 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. K. Verma} and \textit{M. K. Rawani}, Numer. Methods Partial Differ. Equations 39, No. 2, 1085--1107 (2023; Zbl 07776954) Full Text: DOI
Bento, Murilo H. C.; Proença, Sergio P. B.; Duarte, C. Armando Recovery strategies, a posteriori error estimation, and local error indication for second-order G/XFEM and FEM. (English) Zbl 07772242 Int. J. Numer. Methods Eng. 124, No. 13, 3025-3062 (2023). MSC: 65Nxx 74Sxx 35Jxx PDFBibTeX XMLCite \textit{M. H. C. Bento} et al., Int. J. Numer. Methods Eng. 124, No. 13, 3025--3062 (2023; Zbl 07772242) Full Text: DOI
Miao, Zhengwu; Chen, Yong VC-PINN: variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient. (English) Zbl 1527.35500 Physica D 456, Article ID 133945, 35 p. (2023). MSC: 35R30 65M32 PDFBibTeX XMLCite \textit{Z. Miao} and \textit{Y. Chen}, Physica D 456, Article ID 133945, 35 p. (2023; Zbl 1527.35500) Full Text: DOI arXiv
Park, Min Sue; Kim, Cheolhyeong; Son, Hwijae; Hwang, Hyung Ju The deep minimizing movement scheme. (English) Zbl 07766231 J. Comput. Phys. 494, Article ID 112518, 23 p. (2023). MSC: 65Mxx 35Kxx 65Nxx PDFBibTeX XMLCite \textit{M. S. Park} et al., J. Comput. Phys. 494, Article ID 112518, 23 p. (2023; Zbl 07766231) Full Text: DOI arXiv
Nguyen Thi Ngoc Oanh On the inverse problem for one-dimensional Burgers’ equation from the interior observation. (English) Zbl 1526.35321 J. Elliptic Parabol. Equ. 9, No. 2, 1329-1339 (2023). MSC: 35R30 35K58 49N45 65N21 PDFBibTeX XMLCite \textit{Nguyen Thi Ngoc Oanh}, J. Elliptic Parabol. Equ. 9, No. 2, 1329--1339 (2023; Zbl 1526.35321) Full Text: DOI
Kumar, Raman; Deka, Bhupen Optimal a priori error estimates for elliptic interface problems: weak Galerkin mixed finite element approximations. (English) Zbl 07751608 J. Sci. Comput. 97, No. 2, Paper No. 27, 25 p. (2023). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{R. Kumar} and \textit{B. Deka}, J. Sci. Comput. 97, No. 2, Paper No. 27, 25 p. (2023; Zbl 07751608) Full Text: DOI
Wang, Yue; Gao, Fuzheng; Cui, Jintao Superconvergence of the lowest-order weak Galerkin finite element method for elliptic interface problems. (English) Zbl 07750317 Comput. Math. Appl. 149, 203-210 (2023). MSC: 65N30 65N15 35J25 35J15 65N12 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Math. Appl. 149, 203--210 (2023; Zbl 07750317) Full Text: DOI
Guan, Qingguang; Queisser, Gillian; Zhao, Wenju Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. (English) Zbl 07750297 Comput. Math. Appl. 148, 282-292 (2023). MSC: 65N30 65N15 65N12 35J25 65N50 PDFBibTeX XMLCite \textit{Q. Guan} et al., Comput. Math. Appl. 148, 282--292 (2023; Zbl 07750297) Full Text: DOI arXiv
Drozda, Luciano; Mohanamuraly, Pavanakumar; Cheng, Lionel; Lapeyre, Corentin; Daviller, Guillaume; Realpe, Yuval; Adler, Amir; Staffelbach, Gabriel; Poinsot, Thierry Learning an optimised stable Taylor-Galerkin convection scheme based on a local spectral model for the numerical error dynamics. (English) Zbl 07748035 J. Comput. Phys. 493, Article ID 112430, 28 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{L. Drozda} et al., J. Comput. Phys. 493, Article ID 112430, 28 p. (2023; Zbl 07748035) Full Text: DOI
Park, Hyeokjoo; Kwak, Do Y. An immersed weak Galerkin method for elliptic interface problems on polygonal meshes. (English) Zbl 07741358 Comput. Math. Appl. 147, 185-201 (2023). MSC: 65N30 65N15 35J25 65N12 74S05 PDFBibTeX XMLCite \textit{H. Park} and \textit{D. Y. Kwak}, Comput. Math. Appl. 147, 185--201 (2023; Zbl 07741358) Full Text: DOI arXiv
Yang, Jiming; Zhou, Jing A two-grid combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem. (English) Zbl 07736707 Numer. Algorithms 94, No. 2, 733-763 (2023). MSC: 65M60 65M55 65M50 65H10 65M12 65M15 76N10 76S05 35Q35 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Zhou}, Numer. Algorithms 94, No. 2, 733--763 (2023; Zbl 07736707) Full Text: DOI
Miklavčič, M. Analytic and numeric solutions of moving boundary problems. (English) Zbl 07733948 J. Comput. Appl. Math. 431, Article ID 115270, 13 p. (2023). MSC: 65-XX 35Kxx 80Axx 65Zxx PDFBibTeX XMLCite \textit{M. Miklavčič}, J. Comput. Appl. Math. 431, Article ID 115270, 13 p. (2023; Zbl 07733948) Full Text: DOI
Oulmelk, A.; Srati, M.; Afraites, L.; Hadri, A. An artificial neural network approach to identify the parameter in a nonlinear subdiffusion model. (English) Zbl 1522.35562 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107413, 26 p. (2023). MSC: 35R11 35K20 35K58 35R30 PDFBibTeX XMLCite \textit{A. Oulmelk} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107413, 26 p. (2023; Zbl 1522.35562) Full Text: DOI
Hu, Ruimeng; Lin, Quyuan; Raydan, Alan; Tang, Sui Higher-order error estimates for physics-informed neural networks approximating the primitive equations. (English) Zbl 07726379 SN Partial Differ. Equ. Appl. 4, No. 4, Paper No. 34, 35 p. (2023). MSC: 35Q86 35Q35 86A05 86A10 76U60 35A35 68T07 68Q32 35B65 35B45 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{R. Hu} et al., SN Partial Differ. Equ. Appl. 4, No. 4, Paper No. 34, 35 p. (2023; Zbl 07726379) Full Text: DOI arXiv
Zhang, Zhi-Yong; Cai, Sheng-Jie; Zhang, Hui A symmetry group based supervised learning method for solving partial differential equations. (English) Zbl 07725712 Comput. Methods Appl. Mech. Eng. 414, Article ID 116181, 20 p. (2023). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{Z.-Y. Zhang} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116181, 20 p. (2023; Zbl 07725712) Full Text: DOI
Huang, Huayi; Huang, Yunqing; Tang, Qili A finite element variational multiscale method for stationary incompressible magnetohydrodynamics equations. (English) Zbl 1524.65816 Adv. Appl. Math. Mech. 15, No. 5, 1142-1165 (2023). MSC: 65N30 65N12 65N15 76W05 35Q35 PDFBibTeX XMLCite \textit{H. Huang} et al., Adv. Appl. Math. Mech. 15, No. 5, 1142--1165 (2023; Zbl 1524.65816) Full Text: DOI
Huynh, Phuoc-Toan; Cao, Yanzhao; Hoang, Thi-Thao-Phuong Fast and accuracy-preserving domain decomposition methods for reduced fracture models with nonconforming time grids. (English) Zbl 07708365 J. Sci. Comput. 96, No. 1, Paper No. 23, 26 p. (2023). MSC: 65M55 65N30 76S05 35K20 PDFBibTeX XMLCite \textit{P.-T. Huynh} et al., J. Sci. Comput. 96, No. 1, Paper No. 23, 26 p. (2023; Zbl 07708365) Full Text: DOI arXiv
Basir, Shamsulhaq Investigating and mitigating failure modes in physics-informed neural networks (PINNs). (English) Zbl 1514.65146 Commun. Comput. Phys. 33, No. 5, 1240-1269 (2023). MSC: 65M99 35E05 35E15 68T07 90C30 90C47 90C90 PDFBibTeX XMLCite \textit{S. Basir}, Commun. Comput. Phys. 33, No. 5, 1240--1269 (2023; Zbl 1514.65146) Full Text: DOI arXiv
Valbuena, Sonia; Vega, Carlos A. Numerical approximation of living-man steady state solutions for blood flow in arteries using a well-balanced discontinuous Galerkin scheme. (English) Zbl 07707608 Results Appl. Math. 18, Article ID 100375, 14 p. (2023). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{S. Valbuena} and \textit{C. A. Vega}, Results Appl. Math. 18, Article ID 100375, 14 p. (2023; Zbl 07707608) Full Text: DOI
Chen, Luoping; Dai, Jiajia; Wen, Yiming A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations. (English) Zbl 07705775 Appl. Numer. Math. 187, 277-294 (2023). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{L. Chen} et al., Appl. Numer. Math. 187, 277--294 (2023; Zbl 07705775) Full Text: DOI
Di Pietro, Daniele A.; Hülsemann, Frank; Matalon, Pierre; Mycek, Paul; Rüde, Ulrich Algebraic multigrid preconditioner for statically condensed systems arising from lowest-order hybrid discretizations. (English) Zbl 07704376 SIAM J. Sci. Comput. 45, No. 3, S329-S350 (2023). Reviewer: Jiguang Sun (Houghton) MSC: 65N55 65F08 65F50 65F10 35J15 PDFBibTeX XMLCite \textit{D. A. Di Pietro} et al., SIAM J. Sci. Comput. 45, No. 3, S329--S350 (2023; Zbl 07704376) Full Text: DOI
Gong, Xingtian; Yang, Shuwei A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain. (English) Zbl 1518.35028 Bound. Value Probl. 2023, Paper No. 30, 12 p. (2023). MSC: 35A35 35J05 35R25 45A05 65R30 PDFBibTeX XMLCite \textit{X. Gong} and \textit{S. Yang}, Bound. Value Probl. 2023, Paper No. 30, 12 p. (2023; Zbl 1518.35028) Full Text: DOI
Ersoy Hepson, Ozlem; Dag, Idris; Saka, Bülent; Ay, Buket Solitary waves of the RLW equation via least squares method. (English) Zbl 07702453 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 555-566 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{O. Ersoy Hepson} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 555--566 (2023; Zbl 07702453) Full Text: DOI
Gui, Qiang; Li, Wei; Chai, Yingbin The enriched quadrilateral overlapping finite elements for time-harmonic acoustics. (English) Zbl 07701097 Appl. Math. Comput. 451, Article ID 128018, 22 p. (2023). MSC: 65Nxx 35Jxx 74Sxx PDFBibTeX XMLCite \textit{Q. Gui} et al., Appl. Math. Comput. 451, Article ID 128018, 22 p. (2023; Zbl 07701097) Full Text: DOI
Cosgun, Tahir; Sari, Murat A novel method to investigate nonlinear advection-diffusion processes. (English) Zbl 07700250 J. Comput. Appl. Math. 425, Article ID 115057, 9 p. (2023). MSC: 65-XX 35R30 47J25 47J26 65M22 65M32 76M21 PDFBibTeX XMLCite \textit{T. Cosgun} and \textit{M. Sari}, J. Comput. Appl. Math. 425, Article ID 115057, 9 p. (2023; Zbl 07700250) Full Text: DOI
Villarino, Joel P.; Leitao, Álvaro; García Rodríguez, J. A. Boundary-safe PINNs extension: application to non-linear parabolic PDEs in counterparty credit risk. (English) Zbl 07700243 J. Comput. Appl. Math. 425, Article ID 115041, 24 p. (2023). MSC: 91G40 35Q91 68T07 PDFBibTeX XMLCite \textit{J. P. Villarino} et al., J. Comput. Appl. Math. 425, Article ID 115041, 24 p. (2023; Zbl 07700243) Full Text: DOI arXiv
Cheung, James; Perego, M.; Bochev, P.; Gunzburger, M. A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces. (English) Zbl 07700229 J. Comput. Appl. Math. 425, Article ID 115027, 21 p. (2023). MSC: 65N30 65N12 65N15 65N50 41A58 74B10 74S05 35Q74 PDFBibTeX XMLCite \textit{J. Cheung} et al., J. Comput. Appl. Math. 425, Article ID 115027, 21 p. (2023; Zbl 07700229) Full Text: DOI
Başhan, Ali A novel outlook to the an alternative equation for modelling shallow water wave: regularised long wave (RLW) equation. (English) Zbl 1512.65224 Indian J. Pure Appl. Math. 54, No. 1, 133-145 (2023). MSC: 65M70 35Q53 35L75 65M12 65M60 PDFBibTeX XMLCite \textit{A. Başhan}, Indian J. Pure Appl. Math. 54, No. 1, 133--145 (2023; Zbl 1512.65224) Full Text: DOI
Yang, Xiaojia; Zhang, Lin; Ge, Yongbin High-order compact finite difference schemes for solving the regularized long-wave equation. (English) Zbl 07699004 Appl. Numer. Math. 185, 165-187 (2023). MSC: 65Mxx 35Qxx 76Mxx PDFBibTeX XMLCite \textit{X. Yang} et al., Appl. Numer. Math. 185, 165--187 (2023; Zbl 07699004) Full Text: DOI
Eberle-Blick, Sarah; Harrach, Bastian Resolution guarantees for the reconstruction of inclusions in linear elasticity based on monotonicity methods. (English) Zbl 1520.35171 Inverse Probl. 39, No. 7, Article ID 075006, 17 p. (2023). Reviewer: Tommi Brander (Horten) MSC: 35R30 35J57 74B05 74G75 PDFBibTeX XMLCite \textit{S. Eberle-Blick} and \textit{B. Harrach}, Inverse Probl. 39, No. 7, Article ID 075006, 17 p. (2023; Zbl 1520.35171) Full Text: DOI arXiv
Bergami, Matteo; Boscheri, Walter; Dimarco, Giacomo A high-order conservative semi-Lagrangian solver for 3D free surface flows with sediment transport on Voronoi meshes. (English) Zbl 1524.35453 Commun. Appl. Math. Comput. 5, No. 2, 596-637 (2023). MSC: 35Q35 76D05 65M08 65M25 PDFBibTeX XMLCite \textit{M. Bergami} et al., Commun. Appl. Math. Comput. 5, No. 2, 596--637 (2023; Zbl 1524.35453) Full Text: DOI
Yang, Jiming; Zhou, Jing; Chen, Hongbin Analysis of a full-discrete two-grid discontinuous Galerkin method for nonlinear parabolic equations. (English) Zbl 1524.65618 Comput. Appl. Math. 42, No. 4, Paper No. 149, 15 p. (2023). MSC: 65M60 65M12 35K55 65M50 65M55 65M15 PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Appl. Math. 42, No. 4, Paper No. 149, 15 p. (2023; Zbl 1524.65618) Full Text: DOI
Lin, Guochang; Chen, Fukai; Hu, Pipi; Chen, Xiang; Chen, Junqing; Wang, Jun; Shi, Zuoqiang BI-GreenNet: learning Green’s functions by boundary integral network. (English) Zbl 1512.35172 Commun. Math. Stat. 11, No. 1, 103-129 (2023). MSC: 35J05 35J08 65N35 65N80 PDFBibTeX XMLCite \textit{G. Lin} et al., Commun. Math. Stat. 11, No. 1, 103--129 (2023; Zbl 1512.35172) Full Text: DOI arXiv
Vynnycky, M. On boundary immobilization for one-dimensional Stefan-type problems with a moving boundary having initially parabolic-logarithmic behaviour. (English) Zbl 1511.80005 Appl. Math. Comput. 444, Article ID 127803, 16 p. (2023). MSC: 80A22 35R35 80M20 76M20 65M06 PDFBibTeX XMLCite \textit{M. Vynnycky}, Appl. Math. Comput. 444, Article ID 127803, 16 p. (2023; Zbl 1511.80005) Full Text: DOI
Beck, Christian; Hutzenthaler, Martin; Jentzen, Arnulf; Kuckuck, Benno An overview on deep learning-based approximation methods for partial differential equations. (English) Zbl 07675828 Discrete Contin. Dyn. Syst., Ser. B 28, No. 6, 3697-3746 (2023). MSC: 65-02 68T07 35-02 65M99 PDFBibTeX XMLCite \textit{C. Beck} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 6, 3697--3746 (2023; Zbl 07675828) Full Text: DOI arXiv
Dzanic, T.; Trojak, W.; Witherden, F. D. Bounds preserving temporal integration methods for hyperbolic conservation laws. (English) Zbl 07667332 Comput. Math. Appl. 135, 6-18 (2023). MSC: 65M06 65P10 65M60 35-02 35L65 PDFBibTeX XMLCite \textit{T. Dzanic} et al., Comput. Math. Appl. 135, 6--18 (2023; Zbl 07667332) Full Text: DOI arXiv
Oruç, Ömer Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations. (English) Zbl 1525.65109 Wave Motion 118, Article ID 103107, 16 p. (2023). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{Ö. Oruç}, Wave Motion 118, Article ID 103107, 16 p. (2023; Zbl 1525.65109) Full Text: DOI
El Kerim, Ahmed; Gosselet, Pierre; Magoulès, Frédéric Asynchronous global-local non-invasive coupling for linear elliptic problems. (English) Zbl 07658110 Comput. Methods Appl. Mech. Eng. 406, Article ID 115910, 21 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. El Kerim} et al., Comput. Methods Appl. Mech. Eng. 406, Article ID 115910, 21 p. (2023; Zbl 07658110) Full Text: DOI arXiv
Chaudhry, Jehanzeb H.; Estep, Donald; Giannini, Trevor; Stevens, Zachary; Tavener, Simon J. Error estimation for the time to a threshold value in evolutionary partial differential equations. (English) Zbl 07654454 BIT 63, No. 1, Paper No. 12, 32 p. (2023). Reviewer: Zhen Chao (Milwaukee) MSC: 65M60 65M15 35K58 35L71 76B15 35K05 35R10 PDFBibTeX XMLCite \textit{J. H. Chaudhry} et al., BIT 63, No. 1, Paper No. 12, 32 p. (2023; Zbl 07654454) Full Text: DOI arXiv
Rawani, Mukesh Kumar; Verma, Amit Kumar; Cattani, Carlo A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation. (English) Zbl 1508.65110 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 106986, 20 p. (2023). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65N35 65D32 65M12 65M15 65T60 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{M. K. Rawani} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 106986, 20 p. (2023; Zbl 1508.65110) Full Text: DOI
Darbon, Jérôme; Dower, Peter M.; Meng, Tingwei Neural network architectures using min-plus algebra for solving certain high-dimensional optimal control problems and Hamilton-Jacobi PDEs. (English) Zbl 1507.49019 Math. Control Signals Syst. 35, No. 1, 1-44 (2023). MSC: 49K20 35F21 93B70 PDFBibTeX XMLCite \textit{J. Darbon} et al., Math. Control Signals Syst. 35, No. 1, 1--44 (2023; Zbl 1507.49019) Full Text: DOI arXiv
Choi, Yoonjeong; Jo, Gwanghyun; Kwak, Do Y.; Lee, Young Ju Locally conservative discontinuous bubble scheme for Darcy flow and its application to Hele-Shaw equation based on structured grids. (English) Zbl 1507.65178 Numer. Algorithms 92, No. 2, 1127-1152 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65M60 65N30 65M06 76S05 76D27 35Q35 PDFBibTeX XMLCite \textit{Y. Choi} et al., Numer. Algorithms 92, No. 2, 1127--1152 (2023; Zbl 1507.65178) Full Text: DOI
Chowdhury, Manisha; Kumar, B. V. Rathish Simplified subgrid multiscale stabilized finite element method in the transient framework for Stokes equations. (English) Zbl 1524.76210 J. Comput. Appl. Math. 423, Article ID 114956, 18 p. (2023). MSC: 76M10 76D05 65N30 65M60 35Q30 65N12 PDFBibTeX XMLCite \textit{M. Chowdhury} and \textit{B. V. R. Kumar}, J. Comput. Appl. Math. 423, Article ID 114956, 18 p. (2023; Zbl 1524.76210) Full Text: DOI
Marino, Raffaele; Macris, Nicolas Solving non-linear Kolmogorov equations in large dimensions by using deep learning: a numerical comparison of discretization schemes. (English) Zbl 1506.65174 J. Sci. Comput. 94, No. 1, Paper No. 8, 31 p. (2023). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 65C30 60H35 68T07 91G20 91A26 91G60 35K55 35Q91 35R60 PDFBibTeX XMLCite \textit{R. Marino} and \textit{N. Macris}, J. Sci. Comput. 94, No. 1, Paper No. 8, 31 p. (2023; Zbl 1506.65174) Full Text: DOI arXiv
Kraus, Heinrich; Kuhnert, Jörg; Meister, Andreas; Suchde, Pratik A meshfree point collocation method for elliptic interface problems. (English) Zbl 1505.65299 Appl. Math. Modelling 113, 241-261 (2023). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{H. Kraus} et al., Appl. Math. Modelling 113, 241--261 (2023; Zbl 1505.65299) Full Text: DOI arXiv
Mowlavi, Saviz; Nabi, Saleh Optimal control of PDEs using physics-informed neural networks. (English) Zbl 07625400 J. Comput. Phys. 473, Article ID 111731, 22 p. (2023). MSC: 65Mxx 35Rxx 76Fxx PDFBibTeX XMLCite \textit{S. Mowlavi} and \textit{S. Nabi}, J. Comput. Phys. 473, Article ID 111731, 22 p. (2023; Zbl 07625400) Full Text: DOI arXiv
Yue, Jing; Li, Jian Efficient coupled deep neural networks for the time-dependent coupled Stokes-Darcy problems. (English) Zbl 1510.76173 Appl. Math. Comput. 437, Article ID 127514, 19 p. (2023). MSC: 76S05 76M10 76D07 35Q30 PDFBibTeX XMLCite \textit{J. Yue} and \textit{J. Li}, Appl. Math. Comput. 437, Article ID 127514, 19 p. (2023; Zbl 1510.76173) Full Text: DOI
Salehi Shayegan, Amir Hossein Coupling RBF-based meshless method and Landweber iteration algorithm for approximating a space-dependent source term in a time fractional diffusion equation. (English) Zbl 1496.65148 J. Comput. Appl. Math. 417, Article ID 114531, 14 p. (2023). MSC: 65M32 35R30 65D12 PDFBibTeX XMLCite \textit{A. H. Salehi Shayegan}, J. Comput. Appl. Math. 417, Article ID 114531, 14 p. (2023; Zbl 1496.65148) Full Text: DOI
Liu, Qian; Zhou, Yuqian; Li, Kebing; Zhang, Shengning Application of the dynamical system method and the deep learning method to solve the new (3+1)-dimensional fractional modified Benjamin-Bona-Mahony equation. (English) Zbl 1523.35108 Nonlinear Dyn. 110, No. 4, 3737-3750 (2022). MSC: 35C07 35R11 37C29 68T07 PDFBibTeX XMLCite \textit{Q. Liu} et al., Nonlinear Dyn. 110, No. 4, 3737--3750 (2022; Zbl 1523.35108) Full Text: DOI
Langenfeld, K.; Kurzeja, P.; Mosler, J. How regularization concepts interfere with (quasi-)brittle damage: a comparison based on a unified variational framework. (English) Zbl 1514.74007 Contin. Mech. Thermodyn. 34, No. 6, 1517-1544 (2022). MSC: 74A45 74R10 35R25 35Q74 74H30 PDFBibTeX XMLCite \textit{K. Langenfeld} et al., Contin. Mech. Thermodyn. 34, No. 6, 1517--1544 (2022; Zbl 1514.74007) Full Text: DOI
Kuznetsov, K. S.; Amosova, E. V. Predicting subdifferential switching surface in a steady-state complex heat transfer problem using deep learning. (English) Zbl 1507.65283 Dal’nevost. Mat. Zh. 22, No. 2, 190-194 (2022). MSC: 65N99 35J25 68T07 PDFBibTeX XMLCite \textit{K. S. Kuznetsov} and \textit{E. V. Amosova}, Dal'nevost. Mat. Zh. 22, No. 2, 190--194 (2022; Zbl 1507.65283) Full Text: DOI MNR
Tomasch, Stefanie; Swaminathan, Nedunchezhian; Spijker, Christoph; Ertesvåg, Ivar S. Development of a turbulence dissipation based reaction rate model for progress variable in turbulent premixed flames. (English) Zbl 1519.80203 Combust. Theory Model. 26, No. 5, 896-915 (2022). MSC: 80A25 35Q49 76F65 PDFBibTeX XMLCite \textit{S. Tomasch} et al., Combust. Theory Model. 26, No. 5, 896--915 (2022; Zbl 1519.80203) Full Text: DOI
De Ryck, Tim; Mishra, Siddhartha Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs. (English) Zbl 1502.65170 Adv. Comput. Math. 48, No. 6, Paper No. 79, 40 p. (2022). MSC: 65M99 68T07 65M15 35K55 35K05 91G20 35Q53 PDFBibTeX XMLCite \textit{T. De Ryck} and \textit{S. Mishra}, Adv. Comput. Math. 48, No. 6, Paper No. 79, 40 p. (2022; Zbl 1502.65170) Full Text: DOI arXiv
Wang, Jingli; He, Jingsong The distortion of the Peregrine soliton under the perturbation in initial condition. (English) Zbl 1515.35260 Phys. Lett., A 452, Article ID 128432, 6 p. (2022). MSC: 35Q55 82C32 35C08 35B20 68T07 78A60 PDFBibTeX XMLCite \textit{J. Wang} and \textit{J. He}, Phys. Lett., A 452, Article ID 128432, 6 p. (2022; Zbl 1515.35260) Full Text: DOI
Antunes, Pedro R. S. A well-conditioned method of fundamental solutions for Laplace equation. (English) Zbl 1500.65011 Numer. Algorithms 91, No. 3, 1381-1405 (2022). MSC: 65N80 35J05 PDFBibTeX XMLCite \textit{P. R. S. Antunes}, Numer. Algorithms 91, No. 3, 1381--1405 (2022; Zbl 1500.65011) Full Text: DOI arXiv
Zhou, Zijian; Wang, Li; Yan, Zhenya Data-driven discoveries of Bäcklund transformations and soliton evolution equations via deep neural network learning schemes. (English) Zbl 07600402 Phys. Lett., A 450, Article ID 128373, 15 p. (2022). MSC: 35C08 35Q53 68T07 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Phys. Lett., A 450, Article ID 128373, 15 p. (2022; Zbl 07600402) Full Text: DOI arXiv
Cao, Waixiang; Wang, Chunmei; Wang, Junping A new primal-dual weak Galerkin method for elliptic interface problems with low regularity assumptions. (English) Zbl 07599594 J. Comput. Phys. 470, Article ID 111538, 20 p. (2022). MSC: 65Nxx 35Jxx 35Rxx PDFBibTeX XMLCite \textit{W. Cao} et al., J. Comput. Phys. 470, Article ID 111538, 20 p. (2022; Zbl 07599594) Full Text: DOI arXiv
Toulopoulos, Ioannis Numerical solutions of quasilinear parabolic problems by a continuous space-time finite element scheme. (English) Zbl 1501.65128 SIAM J. Sci. Comput. 44, No. 5, A2944-A2973 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65J15 65N15 65N12 35K59 35A15 35B65 PDFBibTeX XMLCite \textit{I. Toulopoulos}, SIAM J. Sci. Comput. 44, No. 5, A2944--A2973 (2022; Zbl 1501.65128) Full Text: DOI
Shravani, N.; Reddy, G. Murali Mohan; Pani, A. K. Anisotropic a posteriori error analysis for the two-step backward differentiation formula for parabolic integro-differential equation. (English) Zbl 1497.65181 J. Sci. Comput. 93, No. 1, Paper No. 26, 22 p. (2022). MSC: 65M60 65M06 65N30 65M15 35R09 PDFBibTeX XMLCite \textit{N. Shravani} et al., J. Sci. Comput. 93, No. 1, Paper No. 26, 22 p. (2022; Zbl 1497.65181) Full Text: DOI
Hu, Wei-Fan; Lin, Te-Sheng; Lai, Ming-Chih A discontinuity capturing shallow neural network for elliptic interface problems. (English) Zbl 07592152 J. Comput. Phys. 469, Article ID 111576, 11 p. (2022). MSC: 68Txx 65Nxx 35Kxx PDFBibTeX XMLCite \textit{W.-F. Hu} et al., J. Comput. Phys. 469, Article ID 111576, 11 p. (2022; Zbl 07592152) Full Text: DOI arXiv
Koroche, Kedir Aliyi Numerical solution of in-viscid Burger equation in the application of physical phenomena: the comparison between three numerical methods. (English) Zbl 1497.65148 Int. J. Math. Math. Sci. 2022, Article ID 8613490, 11 p. (2022). MSC: 65M12 65M06 65M60 65M70 35Q35 PDFBibTeX XMLCite \textit{K. A. Koroche}, Int. J. Math. Math. Sci. 2022, Article ID 8613490, 11 p. (2022; Zbl 1497.65148) Full Text: DOI
Zhang, Lulu; Luo, Tao; Zhang, Yaoyu; E., Weinan; Xu, Zhi-Qin John; Ma, Zheng MOD-Net: a machine learning approach via model-operator-data network for solving PDEs. (English) Zbl 1497.35088 Commun. Comput. Phys. 32, No. 2, 299-335 (2022). MSC: 35C15 35J05 35Q20 35Q49 45K05 65D15 68Q32 68T05 68T07 PDFBibTeX XMLCite \textit{L. Zhang} et al., Commun. Comput. Phys. 32, No. 2, 299--335 (2022; Zbl 1497.35088) Full Text: DOI arXiv
Huang, Yao; Hao, Wenrui; Lin, Guang HomPINNs: homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations. (English) Zbl 1524.65937 Comput. Math. Appl. 121, 62-73 (2022). MSC: 65N99 68T07 35K57 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Math. Appl. 121, 62--73 (2022; Zbl 1524.65937) Full Text: DOI
Giacomini, Matteo; Perotto, Simona Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information. (English) Zbl 1524.65805 Comput. Math. Appl. 121, 1-17 (2022). MSC: 65N30 65N15 65N50 68U10 74S05 35B36 PDFBibTeX XMLCite \textit{M. Giacomini} and \textit{S. Perotto}, Comput. Math. Appl. 121, 1--17 (2022; Zbl 1524.65805) Full Text: DOI arXiv
Zhu, Xingwen; He, Mingyan; Sun, Pengtao Comparative studies on mesh-free deep neural network approach versus finite element method for solving coupled nonlinear hyperbolic/wave equations. (English) Zbl 1513.65394 Int. J. Numer. Anal. Model. 19, No. 5, 603-629 (2022). MSC: 65M60 65M06 65N30 65K10 65M12 35L57 35L75 35L70 68Q32 68T07 76B25 35C08 35Q53 PDFBibTeX XMLCite \textit{X. Zhu} et al., Int. J. Numer. Anal. Model. 19, No. 5, 603--629 (2022; Zbl 1513.65394) Full Text: Link
Dostál, Zdeněk; Horák, David; Kružík, Jakub; Brzobohatý, Tomáš; Vlach, Oldřich Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities. (English) Zbl 1502.65198 Numer. Algorithms 91, No. 2, 773-801 (2022). MSC: 65N30 65N55 65N50 65K15 65Y05 35J86 49M41 PDFBibTeX XMLCite \textit{Z. Dostál} et al., Numer. Algorithms 91, No. 2, 773--801 (2022; Zbl 1502.65198) Full Text: DOI
Congreve, Scott; Houston, Paul Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes. (English) Zbl 1497.35226 Adv. Comput. Math. 48, No. 5, Paper No. 54, 31 p. (2022). MSC: 35J62 35J25 65N30 PDFBibTeX XMLCite \textit{S. Congreve} and \textit{P. Houston}, Adv. Comput. Math. 48, No. 5, Paper No. 54, 31 p. (2022; Zbl 1497.35226) Full Text: DOI arXiv
Cuomo, Salvatore; Schiano Di Cola, Vincenzo; Giampaolo, Fabio; Rozza, Gianluigi; Raissi, Maziar; Piccialli, Francesco Scientific machine learning through physics-informed neural networks: where we are and what’s next. (English) Zbl 07568980 J. Sci. Comput. 92, No. 3, Paper No. 88, 62 p. (2022). MSC: 68Txx 65Mxx 35Qxx PDFBibTeX XMLCite \textit{S. Cuomo} et al., J. Sci. Comput. 92, No. 3, Paper No. 88, 62 p. (2022; Zbl 07568980) Full Text: DOI arXiv
Deugoue, G.; Djoko, J. K.; Konlack, V. S.; Mbehou, M. Numerical analysis of a Darcy-Forchheimer model coupled with the heat equation. (English) Zbl 1502.65096 J. Sci. Comput. 92, No. 2, Paper No. 55, 36 p. (2022). MSC: 65M50 65M12 65M15 35K05 35A15 76S05 76M10 35Q35 PDFBibTeX XMLCite \textit{G. Deugoue} et al., J. Sci. Comput. 92, No. 2, Paper No. 55, 36 p. (2022; Zbl 1502.65096) Full Text: DOI
Feng, Qiwei; Han, Bin; Minev, Peter A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients. (English) Zbl 1510.76109 Appl. Math. Comput. 431, Article ID 127314, 24 p. (2022). MSC: 76M20 65N06 35J15 41A58 76S05 PDFBibTeX XMLCite \textit{Q. Feng} et al., Appl. Math. Comput. 431, Article ID 127314, 24 p. (2022; Zbl 1510.76109) Full Text: DOI arXiv
Petukhov, A. V.; Savchenko, A. O. Solution of the exterior boundary value problem for the Helmholtz equation using overlapping domain decomposition. (English. Russian original) Zbl 1502.65252 Comput. Math. Math. Phys. 62, No. 5, 784-796 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 5, 809-822 (2022). MSC: 65N55 65N38 65N08 65N80 65N12 35J05 PDFBibTeX XMLCite \textit{A. V. Petukhov} and \textit{A. O. Savchenko}, Comput. Math. Math. Phys. 62, No. 5, 784--796 (2022; Zbl 1502.65252); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 5, 809--822 (2022) 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
Kaya, Adem; Freitag, Melina A. Conditioning analysis for discrete Helmholtz problems. (English) Zbl 1524.35163 Comput. Math. Appl. 118, 171-182 (2022). MSC: 35J05 65N55 65F10 65N30 65N06 PDFBibTeX XMLCite \textit{A. Kaya} and \textit{M. A. Freitag}, Comput. Math. Appl. 118, 171--182 (2022; Zbl 1524.35163) Full Text: DOI
Behnood, Maryam; Shokri, Ali A Legendre spectral element method for the family of regularized long wave equations. (English) Zbl 07545902 Math. Comput. Simul. 201, 239-253 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Behnood} and \textit{A. Shokri}, Math. Comput. Simul. 201, 239--253 (2022; Zbl 07545902) Full Text: DOI
Zhang, Junli; Yang, Chenchen; Zheng, Hui; Fan, Chia-Ming; Fu, Ming-Fu The localized method of fundamental solutions for 2D and 3D inhomogeneous problems. (English) Zbl 07538499 Math. Comput. Simul. 200, 504-524 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Zhang} et al., Math. Comput. Simul. 200, 504--524 (2022; Zbl 07538499) Full Text: DOI
Yang, Jiming; Zhou, Jing; Nie, Cunyun A two-grid method for discontinuous Galerkin approximations to compressible miscible displacement problems. (English) Zbl 1524.65619 Comput. Math. Appl. 115, 57-67 (2022). MSC: 65M60 65N30 76M10 65M15 76S05 65M55 65M50 35Q35 PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Math. Appl. 115, 57--67 (2022; Zbl 1524.65619) Full Text: DOI
He, Cuiyu; Hu, Xiaozhe; Mu, Lin A mesh-free method using piecewise deep neural network for elliptic interface problems. (English) Zbl 1491.65158 J. Comput. Appl. Math. 412, Article ID 114358, 16 p. (2022). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 65N99 35K10 68T07 68T05 35J25 92B20 PDFBibTeX XMLCite \textit{C. He} et al., J. Comput. Appl. Math. 412, Article ID 114358, 16 p. (2022; Zbl 1491.65158) Full Text: DOI arXiv
Kumar, N. Kishore; Mohapatra, Subhashree Performance of nonconforming spectral element method for Stokes problems. (English) Zbl 1499.65700 Comput. Appl. Math. 41, No. 4, Paper No. 156, 20 p. (2022). MSC: 65N35 65F10 35J57 76D07 PDFBibTeX XMLCite \textit{N. K. Kumar} and \textit{S. Mohapatra}, Comput. Appl. Math. 41, No. 4, Paper No. 156, 20 p. (2022; Zbl 1499.65700) Full Text: DOI arXiv
Zhu, Wei; Khademi, Wesley; Charalampidis, Efstathios G.; Kevrekidis, Panayotis G. Neural networks enforcing physical symmetries in nonlinear dynamical lattices: the case example of the Ablowitz-Ladik model. (English) Zbl 1512.35512 Physica D 434, Article ID 133264, 14 p. (2022). MSC: 35Q51 35Q55 35Q35 35C08 65M99 65K10 68T07 37K10 37K15 37K60 35R60 PDFBibTeX XMLCite \textit{W. Zhu} et al., Physica D 434, Article ID 133264, 14 p. (2022; Zbl 1512.35512) Full Text: DOI arXiv