Wang, Tao Parametric modal regression with autocorrelated error process. (English) Zbl 07975376 Stat. Sin. 35, No. 1, 457-478 (2025). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Baccouch, Mahboub Residual-based a posteriori error analysis of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. (English) Zbl 07965182 Numer. Algorithms 98, No. 1, 373-404 (2025). MSC: 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Deb, R.; Das, A. K. On the solution set of semi-infinite tensor complementarity problem. (English) Zbl 07980061 Giri, Debasis (ed.) et al., Proceedings of the tenth international conference on mathematics and computing. ICMC 2024, Krishnankoil, Tamil Nadu, India, January 4–7, 2024. Volume 1. Singapore: Springer. Lect. Notes Netw. Syst. 964, 109-121 (2024). MSC: 65-XX 68-XX 94-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Kai; Fang, Peng; Sun, Zhiwei; Du, Rui Error analysis of the mixed residual method for elliptic equations. (English) Zbl 07966438 Numer. Math., Theory Methods Appl. 17, No. 2, 534-554 (2024). MSC: 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goncharsky, A. V.; Romanov, S. Y.; Seryozhnikov, S. Y. Artifacts of reconstructed images in inverse problems of ultrasound tomography in models with absorption. (English) Zbl 07954490 Lobachevskii J. Math. 45, No. 7, 3051-3062 (2024). MSC: 65M32 65N06 65N50 65M06 65K10 65Y10 65M15 94A08 92C55 92C37 35R30 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Huoyuan; Tan, Roger C. E.; Zhu, Duowei A pressure-residual augmented GLS stabilized method for a type of Stokes equations with nonstandard boundary conditions. (English) Zbl 07932070 Adv. Comput. Math. 50, No. 5, Paper No. 105, 39 p. (2024). MSC: 65N30 65K10 65N15 65N12 35B35 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Kuran, Özge; Özkale, M. Revan The ridge prediction error sum of squares statistic in linear mixed models. (English) Zbl 07926266 Metrika 87, No. 7, 757-773 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Deniz, Sinan Optimal perturbation iteration technique for solving nonlinear Volterra-Fredholm integral equations. (English) Zbl 07924800 Math. Methods Appl. Sci. 47, No. 13, 10595-10601 (2024). MSC: 81Q15 31B10 × Cite Format Result Cite Review PDF Full Text: DOI
Sylvia, Jasinth; Ghosh, Surath Solution of chemical reaction model using Haar wavelet method with Caputo derivative. (English) Zbl 07922446 J. Math. Chem. 62, No. 9, 2222-2252 (2024). MSC: 34C60 92E20 34A08 65L99 × Cite Format Result Cite Review PDF Full Text: DOI
Lamb, John D.; Tee, Kai-Hong Using stochastic frontier analysis instead of data envelopment analysis in modelling investment performance. (English) Zbl 07905466 Ann. Oper. Res. 332, No. 1-3, 891-907 (2024). MSC: 62Jxx 62Pxx 90Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Barrios, Tomás P.; Bustinza, Rommel An a posteriori error analysis for an augmented discontinuous Galerkin method applied to Stokes problem. (English) Zbl 1545.65420 Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23100, 24 p. (2024). MSC: 65N30 65N15 35J25 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wilson, S. G.; Eaton, M. D.; Kópházi, J. Energy-dependent, self-adaptive mesh \(h(p)\)-refinement of an interior-penalty scheme for a discontinuous Galerkin isogeometric analysis spatial discretization of the multi-group neutron diffusion equation with dual-weighted residual error measures. (English) Zbl 07897042 J. Comput. Theor. Transp. 53, No. 4, 223-278 (2024). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Agrawal, Khushbu; Kumar, Sunil; Akgül, Ali An algorithm for numerical study of fractional atmospheric model using Bernoulli polynomials. (English) Zbl 07895366 J. Appl. Math. Comput. 70, No. 4, 3101-3134 (2024). MSC: 65Lxx 34A08 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Siipola, Janne Generalization error in the deep Ritz method with smooth activation functions. (English) Zbl 07895210 Commun. Comput. Phys. 35, No. 3, 761-815 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65N35 65N99 65K10 65C05 65N12 65N15 35A35 35J05 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Qi; Zhou, Qiaoqiao Zero-error capacity of the chemical residual channel. (English) Zbl 1547.94261 IEEE Trans. Inf. Theory 70, No. 2, 854-864 (2024). MSC: 94A40 94A15 × Cite Format Result Cite Review PDF Full Text: DOI
Wilson, S. G.; Eaton, M. D.; Kópházi, J. Energy-dependent, self-adaptive mesh \(h(p)\)-refinement of a constraint-based continuous Bubnov-Galerkin isogeometric analysis spatial discretization of the multi-group neutron diffusion equation with dual-weighted residual error measures. (English) Zbl 07880700 J. Comput. Theor. Transp. 53, No. 2, 89-152 (2024). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Chrysafinos, Konstantinos; Georgoulis, Emmanuil H.; Papadopoulos, Vassilis D. Mesh-dependent \(L^2\)-like norm a posteriori error estimates for elliptic problems with non-essential boundary conditions. (English) Zbl 1542.65156 J. Sci. Comput. 100, No. 1, Paper No. 8, 21 p. (2024). MSC: 65N30 65N12 65N15 65N50 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Buyang; Li, Yonglin; Yang, Zongze An optimized CIP-FEM to reduce the pollution errors for the Helmholtz equation on a general unstructured mesh. (English) Zbl 07870119 J. Comput. Phys. 511, Article ID 113120, 16 p. (2024). MSC: 65Nxx 35Jxx 78Axx × Cite Format Result Cite Review PDF Full Text: DOI
Fischer, Hendrik; Roth, Julian; Wick, Thomas; Chamoin, Ludovic; Fau, Amelie MORe DWR: space-time goal-oriented error control for incremental POD-based ROM for time-averaged goal functionals. (English) Zbl 07842851 J. Comput. Phys. 504, Article ID 112863, 27 p. (2024). MSC: 65Mxx 65Nxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rojas, Sergio; Maczuga, Paweł; Muñoz-Matute, Judit; Pardo, David; Paszyński, Maciej Robust variational physics-informed neural networks. (English) Zbl 1539.65183 Comput. Methods Appl. Mech. Eng. 425, Article ID 116904, 18 p. (2024). MSC: 65N30 65N15 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Ying; Lindstrom, Scott B.; Lourenço, Bruno F.; Pong, Ting Kei Generalized power cones: optimal error bounds and automorphisms. (English) Zbl 1544.90147 SIAM J. Optim. 34, No. 2, 1316-1340 (2024). MSC: 90C25 52A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tang, Shaoqiang; Guan, Xinyi; Liu, Wing Kam Solving diffusive equations by proper generalized decomposition with preconditioner. (English) Zbl 07833378 Comput. Mech. 73, No. 1, 199-221 (2024). MSC: 76M20 76R50 80A19 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Storn, Johannes Solving minimal residual methods in \(W^{-1,p'}\) with large exponents \(p\). (English) Zbl 1535.65269 J. Sci. Comput. 99, No. 2, Paper No. 35, 18 p. (2024). MSC: 65N22 65N30 65N12 65N15 65N20 49M29 49M20 35B65 35A01 35A02 35R25 47J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carstensen, Carsten; Gräßle, Benedikt; Nataraj, Neela Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. (English) Zbl 1534.65232 J. Numer. Math. 32, No. 1, 77-109 (2024). MSC: 65N30 65N12 65N15 65N50 31A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yongdo, Lim; Hoang Ngoc Tuan; Nguyen Dong Yen Local error bounds for affine variational inequalities on Hilbert spaces. (English) Zbl 1533.49007 Numer. Funct. Anal. Optim. 45, No. 1, 1-15 (2024). MSC: 49J40 49J27 49J53 58E35 65K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Lingfeng; Tai, Xue-Cheng; Yang, Jiang; Zhu, Quanhui A priori error estimate of deep mixed residual method for elliptic PDEs. (English) Zbl 1537.65191 J. Sci. Comput. 98, No. 2, Paper No. 44, 30 p. (2024). Reviewer: Quanling Deng (Canberra) MSC: 65N99 68T07 65N30 65K10 65N12 65N15 35A15 35R02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Chyong-Mei; Weng, Shuo-Chun; Tsai, Jia-Ren; Shen, Pao-sheng The mean residual life model for the right-censored data in the presence of covariate measurement errors. (English) Zbl 1545.62265 Stat. Med. 42, No. 15, 2557-2572 (2023). MSC: 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Shaohong; Hou, Qianqian; Xie, Xiaoping A linearized adaptive dynamic diffusion finite element method for convection-diffusion-reaction equations. (English) Zbl 1549.65480 Ann. Appl. Math. 39, No. 3, 323-351 (2023). MSC: 65N30 65N15 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Adiyaman, Meltem; Beler, Ayşe Improved residual method for approximating Bratu problem. (English) Zbl 1533.65103 Comput. Methods Differ. Equ. 11, No. 3, 535-547 (2023). MSC: 65L10 34B15 65L15 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Kammonen, Aku; Kiessling, Jonas; Plecháč, Petr; Sandberg, Mattias; Szepessy, Anders; Tempone, Raul Smaller generalization error derived for a deep residual neural network compared with shallow networks. (English) Zbl 1534.68214 IMA J. Numer. Anal. 43, No. 5, 2585-2632 (2023). MSC: 68T07 65D15 65T50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl Isogeometric analysis and augmented Lagrangian Galerkin least squares methods for residual minimization in dual norm. (English) Zbl 1536.65137 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116302, 17 p. (2023). MSC: 65N30 65N15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Hasbani, Jose G.; Sepúlveda, Paulina; Muga, Ignacio; Calo, Victor M.; Rojas, Sergio Adaptive stabilized finite elements via residual minimization onto bubble enrichments. (English) Zbl 1538.65515 Comput. Math. Appl. 151, 1-11 (2023). MSC: 65N30 65N12 76M10 65N15 65N50 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Askari, M. Numerical solution of fractional Bagley-Torvik equations using Lucas polynomials. (English) Zbl 1531.65090 Iran. J. Numer. Anal. Optim. 13, No. 4, 695-710 (2023). MSC: 65L05 34A08 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Bruchhäuser, Marius Paul; Bause, Markus A cost-efficient space-time adaptive algorithm for coupled flow and transport. (English) Zbl 1527.65095 Comput. Methods Appl. Math. 23, No. 4, 849-875 (2023). MSC: 65M60 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Muga, Ignacio; Rojas, Sergio; Vega, Patrick An adaptive superconvergent mixed finite element method based on local residual minimization. (English) Zbl 1528.65116 SIAM J. Numer. Anal. 61, No. 5, 2084-2105 (2023). MSC: 65N30 65N50 65N12 65N15 65N22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Araya, Rodolfo; Chouly, Franz Residual a posteriori error estimation for frictional contact with Nitsche method. (English) Zbl 1529.74072 J. Sci. Comput. 96, No. 3, Paper No. 87, 31 p. (2023). MSC: 74S05 65N12 65N15 65N30 74M10 74M15 74M20 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Lukonde, Alpha Peter; Demir, Duygu Donmez; Emadifar, Homan; Khademi, Masoumeh; Azizi, Hooshmand Pell-Lucas polynomial method for Volterra integral equations of the second kind. (English) Zbl 07729269 Afr. Mat. 34, No. 3, Paper No. 52, 16 p. (2023). MSC: 65R20 45L05 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Epshteyn, Yekaterina; Nguyen, Thuong Adaptive central-upwind scheme on triangular grids for the Saint-Venant system. (English) Zbl 1523.76065 Commun. Math. Sci. 21, No. 3, 671-708 (2023). Reviewer: Noureddine Daili (Sétif) MSC: 76M12 76B10 65M15 86A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen, Thuong Adaptive central-upwind scheme on triangular grids for the shallow water model with variable density. (English) Zbl 1524.76243 Int. J. Numer. Anal. Model. 20, No. 2, 229-266 (2023). MSC: 76M12 65M08 35L65 86-08 86A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Long-Hao; Fang, Kai-Tai; Pan, Jianxin Limiting behavior of the gap between the largest two representative points of statistical distributions. (English) Zbl 07706240 Commun. Stat., Theory Methods 52, No. 10, 3290-3313 (2023). MSC: 62E17 × Cite Format Result Cite Review PDF Full Text: DOI
Yue, Zihan; Jiang, Wei; Liu, Zhuoyue; Zhang, Biao A meshless method for solving two-dimensional distributed-order time-fractional cable equation. (English) Zbl 1517.65076 Appl. Math. Lett. 140, Article ID 108565, 8 p. (2023). MSC: 65M06 65K10 65N15 35A01 35A02 35R09 92C20 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Yang; Ding, Chenling; Li, Shuai; Li, Bin; Sun, Xiaobing Discrete generalized-Sylvester matrix equation solved by RNN with a novel direct discretization numerical method. (English) Zbl 1518.65041 Numer. Algorithms 93, No. 3, 971-992 (2023). MSC: 65F45 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Lindstrom, Scott B.; Lourenço, Bruno F.; Pong, Ting Kei Error bounds, facial residual functions and applications to the exponential cone. (English) Zbl 1519.90173 Math. Program. 200, No. 1 (A), 229-278 (2023). MSC: 90C25 52A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blonigan, Patrick J.; Parish, Eric J. Evaluation of dual-weighted residual and machine learning error estimation for projection-based reduced-order models of steady partial differential equations. (English) Zbl 1539.65167 Comput. Methods Appl. Mech. Eng. 409, Article ID 115988, 32 p. (2023). MSC: 65N30 65N15 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Eigel, Martin; Farchmin, Nando; Heidenreich, Sebastian; Trunschke, Philipp Adaptive nonintrusive reconstruction of solutions to high-dimensional parametric PDEs. (English) Zbl 1530.65014 SIAM J. Sci. Comput. 45, No. 2, A457-A479 (2023). MSC: 65C30 65N35 15A69 65N15 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaya, Adem Application of adapted-bubbles to the Helmholtz equation with large wavenumbers in 2D. (English) Zbl 1524.65822 Numer. Math., Theory Methods Appl. 16, No. 1, 26-57 (2023). MSC: 65N30 65N06 35J05 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jia, Zhongxiao; Li, Haibo The joint bidiagonalization method for large GSVD computations in finite precision. (English) Zbl 1516.65029 SIAM J. Matrix Anal. Appl. 44, No. 1, 382-407 (2023). MSC: 65F15 65F20 65F25 15A18 65F50 65G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miazio, Ł.; Zboiński, G. A posteriori boundary layer detection and resolution in hpq-adaptive finite element methods for 3D-based hierarchical plate and shell models. (English) Zbl 1524.74436 Comput. Math. Appl. 129, 50-68 (2023). MSC: 74S05 74K20 74K25 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Minakowski, P.; Richter, T. A priori and a posteriori error estimates for the deep Ritz method applied to the Laplace and Stokes problem. (English) Zbl 1502.65213 J. Comput. Appl. Math. 421, Article ID 114845, 16 p. (2023); erratum ibid. 460, Article ID 116406, 2 p. (2025). MSC: 65N30 65N15 68T07 76D07 35J05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kyburg, Felix E.; Rojas, Sergio; Calo, Victor M. Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization. (English) Zbl 1531.65244 Int. J. Numer. Methods Eng. 123, No. 8, 1717-1735 (2022). MSC: 65N30 65N50 65F08 65N15 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, D. L.; Strouboulis, T.; Babuška, I. Guaranteed a-posteriori error estimation for semi-discrete solutions of parabolic problems based on elliptic reconstruction. (English) Zbl 1507.65156 Comput. Methods Appl. Mech. Eng. 402, Article ID 115442, 20 p. (2022). MSC: 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Wheeler, Mary F.; Girault, Vivette; Li, Hanyu A posteriori error estimates for Biot system using a mixed discretization for flow. (English) Zbl 1507.74520 Comput. Methods Appl. Mech. Eng. 402, Article ID 115240, 49 p. (2022). MSC: 74S05 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI HAL
El-Tantawy, S. A.; Salas, Alvaro H.; Alyousef, Haifa A.; Alharthi, M. R. Novel approximations to a nonplanar nonlinear Schrödinger equation and modeling nonplanar rogue waves/breathers in a complex plasma. (English) Zbl 1507.78013 Chaos Solitons Fractals 163, Article ID 112612, 13 p. (2022). MSC: 78A60 76B15 35Q55 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Bruchhäuser, Marius Paul; Köcher, Uwe; Bause, Markus On the implementation of an adaptive multirate framework for coupled transport and flow. (English) Zbl 1503.65222 J. Sci. Comput. 93, No. 3, Paper No. 59, 29 p. (2022). MSC: 65M60 65N30 76M10 76D07 76R50 65M12 65M15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basava, Seshadri; Mang, Katrin; Walloth, Mirjam; Wick, Thomas; Wollner, Winnifried Adaptive and pressure-robust discretization of incompressible pressure-driven phase-field fracture. (English) Zbl 1515.74069 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 191-215 (2022). MSC: 74S05 74R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Wolny-Dominiak, Alicja; Żądło, Tomasz On bootstrap estimators of some prediction accuracy measures of loss reserves in a non-life insurance company. (English) Zbl 07584550 Commun. Stat., Simulation Comput. 51, No. 8, 4225-4240 (2022). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Elmaci, Deniz; Savaşaneril, Nurcan Baykuş; Dal, Fadime; Sezer, Mehmet On the application of Euler’s method to linear integro differential equations and comparison with existing methods. (English) Zbl 1515.65327 Turk. J. Math. 46, No. 1, 99-122 (2022). MSC: 65R20 45J05 34K06 65L03 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Yu-Ming; Ullah, Saif; Ali, Muzaher; Tuzzahrah, Ghulam Fatima; Munir, Taj Numerical investigation of Volterra integral equations of second kind using optimal homotopy asymptotic method. (English) Zbl 1510.65325 Appl. Math. Comput. 430, Article ID 127304, 14 p. (2022). MSC: 65R20 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Girault, Vivette; González, María; Hecht, Frédéric A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem. (English) Zbl 1490.65273 J. Numer. Math. 30, No. 2, 85-108 (2022). MSC: 65N30 65N15 65N50 76D07 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Vermaak, Jan I. C.; Morel, Jim E. Transport error estimation using residual Monte Carlo. (English) Zbl 07540353 J. Comput. Phys. 464, Article ID 111306, 25 p. (2022). MSC: 65Cxx 82Dxx 82Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yinfeng; Yu, Guolin Error bounds for inverse mixed quasi-variational inequality via generalized residual gap functions. (English) Zbl 1493.49016 Asia-Pac. J. Oper. Res. 39, No. 2, Article ID 2150017, 13 p. (2022). MSC: 49J40 49N45 49J27 × Cite Format Result Cite Review PDF Full Text: DOI
Walloth, Mirjam; Wollner, Winnifried A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints. (English) Zbl 1490.65212 SIAM J. Sci. Comput. 44, No. 3, B479-B505 (2022). MSC: 65M60 35J86 65M15 65M50 74R10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gbéya, Samuel; Houédanou, Koffi Wilfrid; Nyaga, Lewis; Ahounou, Bernardin Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem. (English) Zbl 1490.65272 Results Appl. Math. 14, Article ID 100278, 25 p. (2022). MSC: 65N30 65N35 65N50 65N15 65K10 49K20 35J25 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Kürkçü, Ömür Kıvanç; Sezer, Mehmet An accurate and novel numerical simulation with convergence analysis for nonlinear partial differential equations of Burgers-Fisher type arising in applied sciences. (English) Zbl 07533157 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 1, 97-114 (2022). MSC: 65M70 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Shaohong; Lin, Runchang; Zhang, Zhimin Residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems. (English) Zbl 1493.65196 J. Comput. Appl. Math. 412, Article ID 114323, 16 p. (2022). MSC: 65N30 65N15 35B25 35J30 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Yalçın, Elif; Sezer, Mehmet A compatible Hermite-Taylor matrix-collocation technique with convergence test for second-order partial integro-differential equations containing two independent variables with functional bounds. (English) Zbl 1486.65213 Math. Sci., Springer 16, No. 1, 59-69 (2022). MSC: 65M70 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Jianfang; Ren, Yupeng; Abgrall, Rémi; Qiu, Jianxian High order residual distribution conservative finite difference HWENO scheme for steady state problems. (English) Zbl 1515.65267 J. Comput. Phys. 457, Article ID 111045, 21 p. (2022). MSC: 65N06 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertoluzza, Silvia; Burman, Erik; He, Cuiyu An a posteriori error estimate of the outer normal derivative using dual weights. (English) Zbl 1503.65307 SIAM J. Numer. Anal. 60, No. 1, 475-501 (2022). Reviewer: Kai Schneider (Marseille) MSC: 65N50 65N30 65N15 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cao, Xiaoting; Zhang, Xiaohua; Shi, Xiaotao An adaptive variational multiscale element free Galerkin method based on the residual-based a posteriori error estimators for convection-diffusion-reaction problems. (English) Zbl 1521.76321 Eng. Anal. Bound. Elem. 136, 238-251 (2022). MSC: 76M10 65N30 65N15 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Çayan, Seda; Sezer, Mehmet A novel study based on Lerch polynomials for approximate solutions of pure Neumann problem. (English) Zbl 1493.65245 Int. J. Appl. Comput. Math. 8, No. 1, Paper No. 8, 19 p. (2022). MSC: 65N35 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Avijit, D.; Natesan, S. An efficient DWR-type a posteriori error bound of SDFEM for singularly perturbed convection-diffusion PDEs. (English) Zbl 1491.65123 J. Sci. Comput. 90, No. 2, Paper No. 73, 16 p. (2022). MSC: 65N30 65N12 65N15 65N22 65N50 35B25 76R50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Wanwan; Yang, Ying; Ji, Guanghua; Lu, Benzhuo Residual type a posteriori error estimates for the time-dependent Poisson-Nernst-Planck equations. (English) Zbl 1490.65218 J. Sci. Comput. 90, No. 1, Paper No. 27, 35 p. (2022). MSC: 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhongbo; Liu, Yongbai; Wang, Gang; Lian, Yufeng; Liu, Keping; Jin, Long Discrete-time noise-tolerant Z-type model for online solving nonlinear time-varying equations in the presence of noises. (English) Zbl 1503.65159 J. Comput. Appl. Math. 403, Article ID 113824, 16 p. (2022). MSC: 65L99 65Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Santos, J. P. M.; Firmiano, A.; Wendland, E. Numerical results on the residual error indicator for a contaminant transport model. (English) Zbl 1538.65386 Trends Comput. Appl. Math. 22, No. 3, 341-358 (2021). MSC: 65M60 65M06 65N30 65M15 76S05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Hajiollow, Ashraf; Zabihi, Fatemeh The effect of radial basis functions (RBFs) method in solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions. (English) Zbl 1507.92146 Iran. J. Math. Chem. 12, No. 4, 239-261 (2021). MSC: 92E20 65D10 35J99 × Cite Format Result Cite Review PDF Full Text: DOI
Fang, Mingjuan; Yang, Ying; Tang, Ming Residual-type a posteriori error estimates for steady-state Poisson-Nernst-Planck equations. (Chinese. English summary) Zbl 1513.65462 Math. Numer. Sin. 43, No. 1, 17-32 (2021). MSC: 65N30 65N15 65N50 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI
Yüzbaşı, Şuayip An operational matrix method to solve the Lotka-Volterra predator-prey models with discrete delays. (English) Zbl 1498.92183 Chaos Solitons Fractals 153, Part 2, Article ID 111482, 7 p. (2021). MSC: 92D25 34K07 65L03 × Cite Format Result Cite Review PDF Full Text: DOI
Rabbi, Fazli; Khan, Salahuddin; Khalil, Alamgir; Mashwani, Wali Khan; Shafiq, Muhammad; Göktaş, Pınar; Unvan, Yuksel. Akay Model selection in linear regression using paired bootstrap. (English) Zbl 07530927 Commun. Stat., Theory Methods 50, No. 7, 1629-1639 (2021). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Toosi, Siavash; Larsson, Johan The Germano identity error and the residual of the LES governing equation. (English) Zbl 07515440 J. Comput. Phys. 443, Article ID 110544, 6 p. (2021). MSC: 76Fxx 76-XX 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Chang, S. S.; Salahuddin; Liu, M.; Wang, X. R.; Tang, J. F. Error bounds for generalized vector inverse quasi-variational inequality problems with point to set mappings. (English) Zbl 1487.49012 AIMS Math. 6, No. 2, 1800-1815 (2021). Reviewer: Liya Liu (Chengdu) MSC: 49J40 47H09 47J20 54H25 × Cite Format Result Cite Review PDF Full Text: DOI
Özel, Mustafa; Tarakçi, Mehmet; Sezer, Mehmet Morgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with variable delays and variable bounds. (English) Zbl 1513.65254 Hacet. J. Math. Stat. 50, No. 5, 1434-1447 (2021). MSC: 65L60 34K06 34K07 45A05 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Az-Zo’bi, Emad; Yildirim, Ahmet; Akinyemi, Lanre Semi-analytic treatment of mixed hyperbolic-elliptic Cauchy problem modeling three-phase flow in porous media. (English) Zbl 1492.76130 Int. J. Mod. Phys. B 35, No. 29, Article ID 2150293, 17 p. (2021). MSC: 76T30 14P15 35L20 35J40 76E09 40G10 × Cite Format Result Cite Review PDF Full Text: DOI
Stiernström, Vidar; Lundgren, Lukas; Nazarov, Murtazo; Mattsson, Ken A residual-based artificial viscosity finite difference method for scalar conservation laws. (English) Zbl 07506531 J. Comput. Phys. 430, Article ID 110100, 29 p. (2021). MSC: 65Mxx 35Lxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Wenqiang; Wu, Wenyuan Global error estimation for linear ordinary differential equations and their numerical optimal solutions. (Chinese. English summary) Zbl 1513.65224 Sci. Sin., Math. 51, No. 1, 239-256 (2021). MSC: 65L05 34A30 34A12 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Broumand, P. Inverse problem techniques for multiple crack detection in 2D elastic continua based on extended finite element concepts. (English) Zbl 07480109 Inverse Probl. Sci. Eng. 29, No. 12, 1702-1728 (2021). MSC: 74G75 65N21 74R10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Keith, Brendan A priori error analysis of high-order LL* (FOSLL*) finite element methods. (English) Zbl 1524.65823 Comput. Math. Appl. 103, 12-18 (2021). MSC: 65N30 65N12 35J25 65N15 49M41 65K10 41A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Cai-lian; Xu, Song; Xie, Lie-jun Linear Fredholm integro-differential-difference equations and their effective computation. (English) Zbl 1490.34071 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 3, 475-486 (2021). MSC: 34K06 39A06 45A05 45B05 65D15 × Cite Format Result Cite Review PDF Full Text: DOI
Umesh; Kumar, Manoj Approximate solution of singular IVPs of Lane-Emden type and error estimation via advanced Adomian decomposition method. (English) Zbl 1475.65218 J. Appl. Math. Comput. 66, No. 1-2, 527-542 (2021). MSC: 65N99 × Cite Format Result Cite Review PDF Full Text: DOI
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering. (English) Zbl 1476.65297 Comput. Methods Appl. Math. 21, No. 2, 351-371 (2021). MSC: 65N30 65N15 65J15 49M15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Guangyuan; Meng, Shengwang; Shi, Yanlin Dispersion modelling of outstanding claims with double Poisson regression models. (English) Zbl 1475.91300 Insur. Math. Econ. 101, 572-586 (2021). MSC: 91G05 62P05 × Cite Format Result Cite Review PDF Full Text: DOI
Łoś, M.; Muga, I.; Muñoz-Matute, J.; Paszyński, M. Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems. (English) Zbl 1524.65575 Comput. Math. Appl. 95, 200-214 (2021). MSC: 65M60 65N30 76M10 76D07 65N12 76D05 35B25 65M06 65K10 65M15 35Q30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brevis, Ignacio; Muga, Ignacio; van der Zee, Kristoffer G. A machine-learning minimal-residual (ML-MRes) framework for goal-oriented finite element discretizations. (English) Zbl 1524.65764 Comput. Math. Appl. 95, 186-199 (2021). MSC: 65N30 68T05 65N15 65N50 65M60 68Q32 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jiaqi; Demkowicz, Leszek An \(L^p\)-DPG method for the convection-diffusion problem. (English) Zbl 1524.65833 Comput. Math. Appl. 95, 172-185 (2021). MSC: 65N30 65N12 65N15 46B20 65K10 65J10 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Rayeezuddin, Mohammed; Krishna Reddy, B.; Sudheer Reddy, D. Performance of reconstruction factors for a class of new complex continuous wavelets. (English) Zbl 1472.42058 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 2, Article ID 2050067, 14 p. (2021). Reviewer: Bin Han (Edmonton) MSC: 42C40 65T60 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Bause, Markus; Bruchhäuser, Marius Paul; Köcher, Uwe Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow. (English) Zbl 1524.65514 Comput. Math. Appl. 91, 17-35 (2021). MSC: 65M60 65N30 65N15 74F10 76M10 65M15 65M12 76D07 35A15 65M50 35Q35 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ke, Rui; Lu, Wanbo; Jia, Jing Evaluating multiplicative error models: a residual-based approach. (English) Zbl 1510.62361 Comput. Stat. Data Anal. 153, Article ID 107086, 12 p. (2021). MSC: 62M10 62M07 62P20 × Cite Format Result Cite Review PDF Full Text: DOI
Khader, Maisa; DarAssi, Mahmoud H. Residual power series method for solving nonlinear reaction-diffusion-convection problems. (English) Zbl 1488.35314 Bol. Soc. Parana. Mat. (3) 39, No. 3, 177-188 (2021). MSC: 35K59 35K57 35C10 × Cite Format Result Cite Review PDF Full Text: Link
Li, Yukun; Zhang, Yi Analysis of adaptive two-grid finite element algorithms for linear and nonlinear problems. (English) Zbl 1475.65214 SIAM J. Sci. Comput. 43, No. 2, A908-A928 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N55 65N50 65N30 65N12 65N15 65N22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Varma, V. Dhanya; Nadupuri, Suresh Kumar; Chamakuri, Nagaiah A posteriori error estimates and an adaptive finite element solution for the system of unsteady convection-diffusion-reaction equations in fluidized beds. (English) Zbl 1460.65127 Appl. Numer. Math. 163, 108-125 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M60 65M06 65N30 65M15 65M50 65H10 80A19 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI