Rogava, J. L. Approximation of operator semigroups using linear-fractional operator functions and weighted averages. (English. Russian original) Zbl 1511.47056 Funct. Anal. Appl. 56, No. 2, 116-129 (2022); translation from Funkts. Anal. Prilozh. 56, No. 2, 47-63 (2022). MSC: 47D06 47A58 PDFBibTeX XMLCite \textit{J. L. Rogava}, Funct. Anal. Appl. 56, No. 2, 116--129 (2022; Zbl 1511.47056); translation from Funkts. Anal. Prilozh. 56, No. 2, 47--63 (2022) Full Text: DOI
Csomós, Petra; Sikolya, Eszter Numerical analysis view on the general Trotter-Kato product formulae. (English) Zbl 1477.47097 Acta Sci. Math. 87, No. 1-2, 307-329 (2021). MSC: 47N40 47D06 65M12 PDFBibTeX XMLCite \textit{P. Csomós} and \textit{E. Sikolya}, Acta Sci. Math. 87, No. 1--2, 307--329 (2021; Zbl 1477.47097) Full Text: DOI Link
Zagrebnov, Valentin A. Non-autonomous dynamics and product formula approximation of solution operator. (English) Zbl 1492.37025 Discontin. Nonlinearity Complex. 9, No. 4, 579-590 (2020). MSC: 37B55 PDFBibTeX XMLCite \textit{V. A. Zagrebnov}, Discontin. Nonlinearity Complex. 9, No. 4, 579--590 (2020; Zbl 1492.37025) Full Text: DOI
Zagrebnov, Valentin A. Notes on the Chernoff product formula. (English) Zbl 1518.47027 J. Funct. Anal. 279, No. 7, Article ID 108696, 23 p. (2020). MSC: 47A56 47D06 47B28 47B12 47B65 PDFBibTeX XMLCite \textit{V. A. Zagrebnov}, J. Funct. Anal. 279, No. 7, Article ID 108696, 23 p. (2020; Zbl 1518.47027) Full Text: DOI arXiv
Zagrebnov, Valentin Approximations of self-adjoint \(C_0\)-semigroups in the operator-norm topology. (English) Zbl 1491.47033 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 73, No. 2, 175-194 (2019). MSC: 47D06 47A58 81Q15 47B65 PDFBibTeX XMLCite \textit{V. Zagrebnov}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 73, No. 2, 175--194 (2019; Zbl 1491.47033) Full Text: DOI
Neidhardt, Hagen; Stephan, Artur; Zagrebnov, Valentin A. Remarks on the operator-norm convergence of the Trotter product formula. (English) Zbl 1507.47094 Integral Equations Oper. Theory 90, No. 2, Paper No. 15, 14 p. (2018). MSC: 47D06 PDFBibTeX XMLCite \textit{H. Neidhardt} et al., Integral Equations Oper. Theory 90, No. 2, Paper No. 15, 14 p. (2018; Zbl 1507.47094) Full Text: DOI arXiv
Ichinose, Takashi On three magnetic relativistic Schrödinger operators and imaginary-time path integrals. (English) Zbl 1296.81025 Lett. Math. Phys. 101, No. 3, 323-339 (2012). MSC: 81Q10 35Q75 35S05 PDFBibTeX XMLCite \textit{T. Ichinose}, Lett. Math. Phys. 101, No. 3, 323--339 (2012; Zbl 1296.81025) Full Text: DOI
Exner, Pavel; Neidhardt, Hagen; Zagrebnov, Valentin A. Remarks on the Trotter-Kato product formula for unitary groups. (English) Zbl 1228.47042 Integral Equations Oper. Theory 69, No. 4, 451-478 (2011). Reviewer: Norbert Youmbi (Loretto) MSC: 47D03 47A55 81Q30 47B25 PDFBibTeX XMLCite \textit{P. Exner} et al., Integral Equations Oper. Theory 69, No. 4, 451--478 (2011; Zbl 1228.47042) Full Text: DOI arXiv
Bátkai, András; Csomós, Petra; Nickel, Gregor Operator splittings and spatial approximations for evolution equations. (English) Zbl 1239.47031 J. Evol. Equ. 9, No. 3, 613-636 (2009). MSC: 47D06 47N20 47N40 65J10 34K06 PDFBibTeX XMLCite \textit{A. Bátkai} et al., J. Evol. Equ. 9, No. 3, 613--636 (2009; Zbl 1239.47031) Full Text: DOI arXiv
Ichinose, Takashi; Tamura, Hideo Exponential product approximation to the integral kernel of the Schrödinger semigroup and the heat kernel of the Dirichlet Laplacian. (English) Zbl 1096.47048 J. Reine Angew. Math. 592, 157-188 (2006). Reviewer: Eckhard Giere (Clausthal-Zellerfeld) MSC: 47D08 35J10 35K05 PDFBibTeX XMLCite \textit{T. Ichinose} and \textit{H. Tamura}, J. Reine Angew. Math. 592, 157--188 (2006; Zbl 1096.47048) Full Text: DOI
Ichinose, Takashi; Tamura, Hideo Sharp error bound on norm convergence of exponential product formula and approximation to kernels of Schrödinger semigroups. (English) Zbl 1085.47053 Commun. Partial Differ. Equations 29, No. 11-12, 1905-1918 (2004). Reviewer: Mihai Pascu (Bucureşti) MSC: 47D08 41A80 35S99 47D06 81Q15 PDFBibTeX XMLCite \textit{T. Ichinose} and \textit{H. Tamura}, Commun. Partial Differ. Equations 29, No. 11--12, 1905--1918 (2004; Zbl 1085.47053) Full Text: DOI
Ichinose, Takashi; Tamura, Hideo Note on the norm convergence of the unitary Trotter product formula. (English) Zbl 1075.47025 Lett. Math. Phys. 70, No. 1, 65-81 (2004). Reviewer: Michael Perelmuter (Kyïv) MSC: 47D06 47B25 81Q05 81Q15 PDFBibTeX XMLCite \textit{T. Ichinose} and \textit{H. Tamura}, Lett. Math. Phys. 70, No. 1, 65--81 (2004; Zbl 1075.47025) Full Text: DOI
Ichinose, Takashi; Neidhardt, Hagen; Zagrebnov, Valentin A. Trotter–Kato product formula and fractional powers of self-adjoint generators. (English) Zbl 1066.47038 J. Funct. Anal. 207, No. 1, 33-57 (2004). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 47D03 PDFBibTeX XMLCite \textit{T. Ichinose} et al., J. Funct. Anal. 207, No. 1, 33--57 (2004; Zbl 1066.47038) Full Text: DOI
Blunck, Sönke Some remarks on operator-norm convergence of the Trotter product formula on Banach spaces. (English) Zbl 1068.47048 J. Funct. Anal. 195, No. 2, 350-370 (2002). MSC: 47D06 PDFBibTeX XMLCite \textit{S. Blunck}, J. Funct. Anal. 195, No. 2, 350--370 (2002; Zbl 1068.47048) Full Text: DOI
Cachia, Vincent; Neidhardt, Hagen; Zagrebnov, Valentin A. Comments on the Trotter product formula error-bound estimates for non-selfadjoint semigroups. (English) Zbl 1036.47024 Integral Equations Oper. Theory 42, No. 4, 425-448 (2002). Reviewer: V. A. Liskevich (Bristol) MSC: 47D03 47B25 35K22 41A80 PDFBibTeX XMLCite \textit{V. Cachia} et al., Integral Equations Oper. Theory 42, No. 4, 425--448 (2002; Zbl 1036.47024) Full Text: DOI
Ichinose, Takashi; Tamura, Hideo On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound. (English) Zbl 1025.47026 Proc. Indian Acad. Sci., Math. Sci. 112, No. 1, 99-106 (2002). Reviewer: Aleksandar Perović (Berlin) MSC: 47D06 47B25 41A65 PDFBibTeX XMLCite \textit{T. Ichinose} and \textit{H. Tamura}, Proc. Indian Acad. Sci., Math. Sci. 112, No. 1, 99--106 (2002; Zbl 1025.47026) Full Text: DOI