Zhang, Zhengqi; Zhang, Zhidong; Zhou, Zhi Identification of potential in diffusion equations from terminal observation: analysis and discrete approximation. (English) Zbl 1506.65144 SIAM J. Numer. Anal. 60, No. 5, 2834-2865 (2022). MSC: 65M30 65M60 65M06 65N30 65M15 65M12 35B45 35A02 33E17 80A21 35Q79 35Q92 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wen, Jin; Liu, Zhuan-Xia; Yue, Chong-Wang; Wang, Shi-Juan Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation. (English) Zbl 07597397 J. Appl. Math. Comput. 68, No. 5, 3219-3250 (2022). MSC: 65M32 65K10 65M70 65M12 65M15 35B45 35B65 35C05 26A33 35R11 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xu; Zhao, Weidong; Zhou, Tao Sinc-\(\theta\) schemes for backward stochastic differential equations. (English) Zbl 1506.65024 SIAM J. Numer. Anal. 60, No. 4, 1799-1823 (2022). MSC: 65C30 60H10 60H35 × Cite Format Result Cite Review PDF Full Text: DOI
Metcalfe, Stephen; Wihler, Thomas P. Conditional a posteriori error bounds for high order discontinuous Galerkin time stepping approximations of semilinear heat models with blow-up. (English) Zbl 1490.65204 SIAM J. Sci. Comput. 44, No. 3, A1337-A1357 (2022). MSC: 65M60 65M12 65M15 65M22 65M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chrysafinos, Konstantinos; Georgoulis, Emmanuil H.; Plaka, Dimitra A posteriori error estimates for the Allen-Cahn problem. (English) Zbl 1453.65312 SIAM J. Numer. Anal. 58, No. 5, 2662-2683 (2020). MSC: 65M60 65M06 65N30 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cangiani, Andrea; Georgoulis, Emmanuil H.; Kyza, Irene; Metcalfe, Stephen Adaptivity and blow-up detection for nonlinear evolution problems. (English) Zbl 1355.65118 SIAM J. Sci. Comput. 38, No. 6, A3833-A3856 (2016). MSC: 65M15 35K58 65M50 65M60 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kyza, Irene; Makridakis, Charalambos Analysis for time discrete approximations of blow-up solutions of semilinear parabolic equations. (English) Zbl 1227.65081 SIAM J. Numer. Anal. 49, No. 1, 405-426 (2011). Reviewer: Weizhong Dai (Ruston) MSC: 65M15 65M06 35K58 35B44 × Cite Format Result Cite Review PDF Full Text: DOI Link
Qin, Hai-Hua; Wei, Ting Some filter regularization methods for a backward heat conduction problem. (English) Zbl 1225.65090 Appl. Math. Comput. 217, No. 24, 10317-10327 (2011). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M30 35K05 65M12 65M15 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Hofmann, B.; Mathé, P.; Schieck, M. Modulus of continuity for conditionally stable ill-posed problems in Hilbert space. (English) Zbl 1156.47013 J. Inverse Ill-Posed Probl. 16, No. 6, 567-585 (2008). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47A52 65J20 × Cite Format Result Cite Review PDF Full Text: DOI
Kohler, Michael Nonparametric regression with additional measurement errors in the dependent variable. (English) Zbl 1102.62035 J. Stat. Plann. Inference 136, No. 10, 3339-3361 (2006). MSC: 62G08 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Charton, Jean Mathias A line method for the approximate solution of inverse problems for elliptic differential equations. (Eine Linienmethode zur approximativen Lösung inverser Probleme für elliptische Differentialgleichungen.) (English) Zbl 1100.35119 Berlin: Logos Verlag; Siegen: Univ. Siegen, FB Mathematik (Dissertation) (ISBN 3-8325-0687-X/pbk). ix, 389 p. (2004). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35R30 65N40 65N21 65F22 35-02 35R25 35J25 × Cite Format Result Cite Review PDF
Salvadori, G.; Schertzer, D.; Lovejoy, S. Multifractal objective analysis: Conditioning and interpolation. (English) Zbl 0988.62073 Stoch. Environ. Res. Risk Assess. 15, No. 4, 261-283 (2001). MSC: 62P35 86A32 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, Lean-Luc On approximation of Navier-Stokes equations by a projection method. (Sur l’approximation des équations de Navier-Stokes par une méthode de projection.) (French. Abridged English version) Zbl 0813.76066 C. R. Acad. Sci., Paris, Sér. I 319, No. 8, 887-892 (1994). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF
Nelson, Daniel B.; Foster, Dean P. Asymptotic filtering theory for univariate ARCH models. (English) Zbl 0804.62085 Econometrica 62, No. 1, 1-41 (1994). Reviewer: J.Wolters (Berlin) MSC: 62M20 62P20 91B62 91B84 62M10 × Cite Format Result Cite Review PDF Full Text: DOI
Falk, M.; Marohn, F. Laws of small numbers: Some applications to conditional curve estimation. (English) Zbl 0777.62038 Probability theory and applications, Essays to the Mem. of J. Mogyoródi, Math. Appl. 80, 257-278 (1992). Reviewer: H.Liero (Potsdam) MSC: 62G07 62G20 62E20 × Cite Format Result Cite Review PDF
Vieu, Philippe Quadratic errors for nonparametric estimates under dependence. (English) Zbl 0751.62022 J. Multivariate Anal. 39, No. 2, 324-347 (1991). Reviewer: H.Liero (Potsdam) MSC: 62G07 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Tu, Dongsheng; Zheng, Zhongguo Random weighting: Another approach to approximate the unknown distributions of pivotal quantities. (English) Zbl 0781.62024 J. Comb. Inf. Syst. Sci. 16, No. 2-3, 249-270 (1991). MSC: 62E20 62J05 62G09 × Cite Format Result Cite Review PDF
Hero, Alfred O. Lower bounds on estimator performance for energy-invariant parameters of multidimensional Poisson processes. (English) Zbl 0683.62043 IEEE Trans. Inf. Theory 35, No. 4, 843-858 (1989). MSC: 62M05 94A99 62B10 94A34 × Cite Format Result Cite Review PDF Full Text: DOI
Palmgren, Juni; Ekholm, Anders Exponential family non-linear models for categorical data with errors of observation. (English) Zbl 0634.62063 Appl. Stochastic Models Data Anal. 3, 111-124 (1987). MSC: 62H99 62H12 62P10 62P25 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xiru; Zhao, Lincheng The optimal rate of convergence of error for k-nn median regression estimates. (English) Zbl 0605.62015 Chin. Ann. Math., Ser. B 7, 129-138 (1986). MSC: 62E20 62G05 × Cite Format Result Cite Review PDF
Bai, Zhidong; Chen, Guijing Convergence of estimates of error probability in nn-discrimination by randomization. (Chinese. English summary) Zbl 0594.62068 Acta Math. Appl. Sin. 9, 154-164 (1986). MSC: 62H30 × Cite Format Result Cite Review PDF
Penskaya, M. Ya. Projection estimators of the density of an a priori distribution and of functionals of it. (English) Zbl 0599.62046 Theory Probab. Math. Stat. 31, 113-124 (1985). MSC: 62G05 × Cite Format Result Cite Review PDF
Penskaya, M. Ya. Projection estimates for the density of a priori distributions and for functionals of it. (Russian) Zbl 0588.62053 Teor. Veroyatn. Mat. Stat. 31, 99-110 (1984). Reviewer: A.Hosni MSC: 62G05 × Cite Format Result Cite Review PDF
Liese, F. Estimates of Hellinger integrals of discrete time stochastic processes. (English) Zbl 0547.62064 Forschungsergeb., Friedrich-Schiller-Univ. Jena N/84/51, 14 p. (1984). Reviewer: Z.Jurek MSC: 62M99 60E99 60G99 62H15 62M09 62E99 × Cite Format Result Cite Review PDF
Breiman, L.; Freedman, D. How many variables should be entered in a regression equation? (English) Zbl 0513.62068 J. Am. Stat. Assoc. 78, 131-136 (1983). MSC: 62J05 × Cite Format Result Cite Review PDF Full Text: DOI
Davidson, James Small sample properties of estimators of the moving average process. (English) Zbl 0474.62084 Proc. Econ. Soc. Eur. Meet., Athens 1979, Contrib. Econ. Anal. 138, 27-62 (1981). MSC: 62M10 62F10 65C05 × Cite Format Result Cite Review PDF