Adak, Dibyendu Convergence analysis of expanded mixed virtual element methods for nonlocal problems. (English) Zbl 07777354 Numer. Methods Partial Differ. Equations 39, No. 4, 3246-3270 (2023). MSC: 65M60 65M06 65N30 65M15 35R09 45K05 47H10 PDFBibTeX XMLCite \textit{D. Adak}, Numer. Methods Partial Differ. Equations 39, No. 4, 3246--3270 (2023; Zbl 07777354) Full Text: DOI
Fernández, Francisco M. On the calculation of bound-state energies supported by hyperbolic double well potentials. (English) Zbl 1528.81129 Ann. Phys. 455, Article ID 169367, 7 p. (2023). MSC: 81Q05 81Q80 57R67 37B20 65M06 47A10 PDFBibTeX XMLCite \textit{F. M. Fernández}, Ann. Phys. 455, Article ID 169367, 7 p. (2023; Zbl 1528.81129) Full Text: DOI arXiv
Zhang, Gengen; Jiang, Chaolong; Huang, Hao Arbitrarily high-order energy-preserving schemes for the Zakharov-Rubenchik equations. (English) Zbl 1512.65187 J. Sci. Comput. 94, No. 2, Paper No. 32, 27 p. (2023). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65M70 65N35 65L06 65P10 47H10 35Q55 PDFBibTeX XMLCite \textit{G. Zhang} et al., J. Sci. Comput. 94, No. 2, Paper No. 32, 27 p. (2023; Zbl 1512.65187) Full Text: DOI arXiv
Bejenaru, Andreea; Ciobanescu, Cristian New partially projective algorithm for split feasibility problems with application to BVP. (English) Zbl 1498.47121 J. Nonlinear Convex Anal. 23, No. 3, 485-500 (2022). MSC: 47J25 65L12 PDFBibTeX XMLCite \textit{A. Bejenaru} and \textit{C. Ciobanescu}, J. Nonlinear Convex Anal. 23, No. 3, 485--500 (2022; Zbl 1498.47121) Full Text: Link
Liu, Peijiang; Shen, Wei-Yun; Din, Anwarud Analysis of a nonlinear dynamical model of hepatitis B disease. (English) Zbl 1504.34115 Fractals 30, No. 5, Article ID 2240127, 13 p. (2022). MSC: 34C60 92C60 92C30 34A08 34D10 34D05 65L12 47N20 PDFBibTeX XMLCite \textit{P. Liu} et al., Fractals 30, No. 5, Article ID 2240127, 13 p. (2022; Zbl 1504.34115) Full Text: DOI
Álvarez, Mario; Colmenares, Eligio; Sequeira, Filánder A. Analysis of a semi-augmented mixed finite element method for double-diffusive natural convection in porous media. (English) Zbl 1524.65505 Comput. Math. Appl. 114, 112-131 (2022). MSC: 65M60 65N30 76M10 65N15 65N12 76S05 76R10 35A01 35A02 35B65 80A19 47H10 65M06 35Q35 PDFBibTeX XMLCite \textit{M. Álvarez} et al., Comput. Math. Appl. 114, 112--131 (2022; Zbl 1524.65505) Full Text: DOI arXiv
Feng, Xiaoli; Zhao, Meixia; Qian, Zhi A Tikhonov regularization method for solving a backward time-space fractional diffusion problem. (English) Zbl 1490.35535 J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022). MSC: 35R25 35R30 47A52 65M06 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Comput. Appl. Math. 411, Article ID 114236, 20 p. (2022; Zbl 1490.35535) Full Text: DOI
Alecsa, Cristian Daniel; László, Szilárd Csaba; Pinţa, Titus An extension of the second order dynamical system that models Nesterov’s convex gradient method. (English) Zbl 1486.34050 Appl. Math. Optim. 84, No. 2, 1687-1716 (2021). Reviewer: Angela Slavova (Sofia) MSC: 34A34 47J35 90C25 90C30 65L12 34A12 PDFBibTeX XMLCite \textit{C. D. Alecsa} et al., Appl. Math. Optim. 84, No. 2, 1687--1716 (2021; Zbl 1486.34050) Full Text: DOI arXiv
Bartosz, Krzysztof; Szafraniec, Paweł; Zhao, Jing Convergence of a double step scheme for a class of parabolic Clarke subdifferential inclusions. (English) Zbl 1468.65083 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105940, 16 p. (2021). MSC: 65L12 34A60 34G25 47J22 49J40 49J45 49J52 PDFBibTeX XMLCite \textit{K. Bartosz} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105940, 16 p. (2021; Zbl 1468.65083) Full Text: DOI
Abdulla, Ugur G.; Cosgrove, Evan Optimal control of multiphase free boundary problems for nonlinear parabolic equations. (English) Zbl 1470.35423 Appl. Math. Optim. 84, No. 1, 589-619 (2021). MSC: 35R30 35R35 35K20 35Q93 47H05 49J20 65M06 65M12 PDFBibTeX XMLCite \textit{U. G. Abdulla} and \textit{E. Cosgrove}, Appl. Math. Optim. 84, No. 1, 589--619 (2021; Zbl 1470.35423) Full Text: DOI arXiv
Liu, Li; Fan, Zhenbin; Li, Gang; Piskarev, Sergey Discrete almost maximal regularity and stability for fractional differential equations in \(L^p([0, 1], \Omega)\). (English) Zbl 1488.65194 Appl. Math. Comput. 389, Article ID 125574, 15 p. (2021). MSC: 65L12 34A08 39A12 47D06 65L20 PDFBibTeX XMLCite \textit{L. Liu} et al., Appl. Math. Comput. 389, Article ID 125574, 15 p. (2021; Zbl 1488.65194) Full Text: DOI
Djaokamla, Temga; Ndeuzoumbet, Siniki; Sylvain, Koumla Pseudo-spectral and forward Euler scheme methods for solving nonlinear evolution partial differential equation in 2D-space. (English) Zbl 07480290 Int. J. Numer. Methods Appl. 19, No. 1, 29-41 (2020). MSC: 47J35 35M13 80M20 80M22 PDFBibTeX XMLCite \textit{T. Djaokamla} et al., Int. J. Numer. Methods Appl. 19, No. 1, 29--41 (2020; Zbl 07480290)
He, Xuefei; Wang, Kun; Xu, Liwei Efficient finite difference methods for the nonlinear Helmholtz equation in Kerr medium. (English) Zbl 1458.65134 Electron. Res. Arch. 28, No. 4, 1503-1528 (2020). MSC: 65N06 65J15 47J25 78M20 PDFBibTeX XMLCite \textit{X. He} et al., Electron. Res. Arch. 28, No. 4, 1503--1528 (2020; Zbl 1458.65134) Full Text: DOI
Li, Meng; Huang, Chengming; Ming, Wanyuan A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations. (English) Zbl 1434.65186 Numer. Algorithms 83, No. 1, 99-124 (2020). MSC: 65M60 65M06 35R11 65M12 47H40 35Q41 PDFBibTeX XMLCite \textit{M. Li} et al., Numer. Algorithms 83, No. 1, 99--124 (2020; Zbl 1434.65186) Full Text: DOI
Abdel-Rehim, E. A. From the space-time fractional integral of the continuous time random walk to the space-time fractional diffusion equations, a short proof and simulation. (English) Zbl 07569409 Physica A 531, Article ID 121547, 10 p. (2019). MSC: 82-XX 26A33 35L05 60J60 45K05 47G30 33E20 65N06 60G52 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, Physica A 531, Article ID 121547, 10 p. (2019; Zbl 07569409) Full Text: DOI
Kokurin, M. M. Conditions for the qualified convergence of finite difference methods and the quasi-reversibility method for solving linear ill-posed Cauchy problems in a Hilbert space. (English. Russian original) Zbl 1445.47012 Russ. Math. 63, No. 10, 40-54 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 10, 46-61 (2019). Reviewer: Bernd Hofmann (Chemnitz) MSC: 47A52 65J20 35R25 65M60 PDFBibTeX XMLCite \textit{M. M. Kokurin}, Russ. Math. 63, No. 10, 40--54 (2019; Zbl 1445.47012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 10, 46--61 (2019) Full Text: DOI
Eilinghoff, Johannes; Jahnke, Tobias; Schnaubelt, Roland Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. (English) Zbl 1422.78003 SIAM J. Numer. Anal. 57, No. 3, 1036-1057 (2019). MSC: 78M20 65M06 65M12 35Q61 47D06 65J10 PDFBibTeX XMLCite \textit{J. Eilinghoff} et al., SIAM J. Numer. Anal. 57, No. 3, 1036--1057 (2019; Zbl 1422.78003) Full Text: DOI
Lamichhane, Bishnu P.; Lindstrom, Scott B.; Sims, Brailey Application of projection algorithms to differential equations: boundary value problems. (English) Zbl 1410.65269 ANZIAM J. 61, No. 1, 23-46 (2019). MSC: 65L10 34B15 47H05 90C26 90C48 65L12 PDFBibTeX XMLCite \textit{B. P. Lamichhane} et al., ANZIAM J. 61, No. 1, 23--46 (2019; Zbl 1410.65269) Full Text: DOI arXiv
Bendahmane, Mostafa; Karami, Fahd; Zagour, Mohamed Kinetic-fluid derivation and mathematical analysis of the cross-diffusion-Brinkman system. (English) Zbl 1516.35325 Math. Methods Appl. Sci. 41, No. 16, 6288-6311 (2018). MSC: 35Q35 76S05 76D05 76M20 76M12 35D30 35A01 35B35 47H10 65M08 65M06 PDFBibTeX XMLCite \textit{M. Bendahmane} et al., Math. Methods Appl. Sci. 41, No. 16, 6288--6311 (2018; Zbl 1516.35325) Full Text: DOI HAL
Berntsson, Fredrik; Orlof, Anna; Thim, Johan Error estimation for eigenvalues of unbounded linear operators and an application to energy levels in graphene quantum dots. (English) Zbl 1365.65152 Numer. Funct. Anal. Optim. 38, No. 3, 293-305 (2017). MSC: 65J10 47A10 47E05 34L16 81Q05 65L12 65L15 PDFBibTeX XMLCite \textit{F. Berntsson} et al., Numer. Funct. Anal. Optim. 38, No. 3, 293--305 (2017; Zbl 1365.65152) Full Text: DOI Link
De Staelen, Rob H.; Guidetti, Davide On a finite difference scheme for an inverse integro-differential problem using semigroup theory: a functional analytic approach. (English) Zbl 1356.65254 Numer. Funct. Anal. Optim. 37, No. 7, 850-886 (2016). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45Q05 47D06 65J08 45N05 PDFBibTeX XMLCite \textit{R. H. De Staelen} and \textit{D. Guidetti}, Numer. Funct. Anal. Optim. 37, No. 7, 850--886 (2016; Zbl 1356.65254) Full Text: DOI
Glau, Kathrin A Feynman-Kac-type formula for Lévy processes with discontinuous killing rates. (English) Zbl 1355.60060 Finance Stoch. 20, No. 4, 1021-1059 (2016). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60G51 60H30 35R09 35S10 47G30 47G20 65M60 65M06 91G80 91G60 PDFBibTeX XMLCite \textit{K. Glau}, Finance Stoch. 20, No. 4, 1021--1059 (2016; Zbl 1355.60060) Full Text: DOI arXiv
Chen, Shiping; Liu, Fawang; Jiang, X.; Turner, Ian; Burrage, Kevin Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. (English) Zbl 1382.65290 SIAM J. Numer. Anal. 54, No. 2, 606-624 (2016). MSC: 65M32 35R11 65M06 47J06 65F10 PDFBibTeX XMLCite \textit{S. Chen} et al., SIAM J. Numer. Anal. 54, No. 2, 606--624 (2016; Zbl 1382.65290) Full Text: DOI
Makarov, V. L.; Romanyuk, N. M. Super-exponential convergence of the FD-method for spectral problem in Banach space. (Ukrainian. English summary) Zbl 1363.65197 Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 5, 109-131 (2015). MSC: 65N25 65N12 35P15 65J10 47A10 65N06 PDFBibTeX XMLCite \textit{V. L. Makarov} and \textit{N. M. Romanyuk}, Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 5, 109--131 (2015; Zbl 1363.65197)
Sharma, Basant Lal Diffraction of waves on square lattice by semi-infinite crack. (English) Zbl 1322.78010 SIAM J. Appl. Math. 75, No. 3, 1171-1192 (2015). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A45 39A14 47A40 74S20 74H10 74J20 47A68 78M20 PDFBibTeX XMLCite \textit{B. L. Sharma}, SIAM J. Appl. Math. 75, No. 3, 1171--1192 (2015; Zbl 1322.78010) Full Text: DOI Link
Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland Convergence of an ADI splitting for Maxwell’s equations. (English) Zbl 1323.78018 Numer. Math. 129, No. 3, 535-561 (2015). Reviewer: Gunther Schmidt (Berlin) MSC: 78M20 65M12 35Q61 65M15 47D03 65J10 PDFBibTeX XMLCite \textit{M. Hochbruck} et al., Numer. Math. 129, No. 3, 535--561 (2015; Zbl 1323.78018) Full Text: DOI Link
Smelov, V. V. On one-dimensional boundary value problems with discontinuous coefficients and a specific net basis for solving such problems. (Russian) Zbl 1363.65123 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 14, No. 3, 95-106 (2014). MSC: 65L10 34B15 65L12 34A45 47E05 PDFBibTeX XMLCite \textit{V. V. Smelov}, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 14, No. 3, 95--106 (2014; Zbl 1363.65123) Full Text: MNR
Fekete, I.; Faragó, I. N-stability of the \(\theta\)-method for reaction-diffusion problems. (English) Zbl 1324.65118 Miskolc Math. Notes 15, No. 2, 447-458 (2014). MSC: 65M12 35K57 65M06 65J15 47J25 65J08 PDFBibTeX XMLCite \textit{I. Fekete} and \textit{I. Faragó}, Miskolc Math. Notes 15, No. 2, 447--458 (2014; Zbl 1324.65118)
Ford, Neville J.; Rodrigues, M. Manuela; Xiao, Jingyu; Yan, Yubin Numerical analysis of a two-parameter fractional telegraph equation. (English) Zbl 1302.65187 J. Comput. Appl. Math. 249, 95-106 (2013). MSC: 65M06 33E12 35R11 65M12 42A38 47H10 PDFBibTeX XMLCite \textit{N. J. Ford} et al., J. Comput. Appl. Math. 249, 95--106 (2013; Zbl 1302.65187) Full Text: DOI
Vinogradova, P. V.; Zarubin, A. G. Asymptotic estimates of a projection-difference method for an operator-differential equation. (English) Zbl 1284.65066 J. Numer. Math. 21, No. 3, 181-200 (2013). Reviewer: Peter Zabreiko (Minsk) MSC: 65J08 47E05 34G10 65M06 65M60 65M12 35K90 PDFBibTeX XMLCite \textit{P. V. Vinogradova} and \textit{A. G. Zarubin}, J. Numer. Math. 21, No. 3, 181--200 (2013; Zbl 1284.65066) Full Text: DOI
Lee, Jaewook; Lee, Younhee Tridiagonal implicit method to evaluate European and American options under infinite activity Lévy models. (English) Zbl 1260.91259 J. Comput. Appl. Math. 237, 234-243 (2013). MSC: 91G60 65M06 47G20 91B25 PDFBibTeX XMLCite \textit{J. Lee} and \textit{Y. Lee}, J. Comput. Appl. Math. 237, 234--243 (2013; Zbl 1260.91259) Full Text: DOI
Grimm, Volker Resolvent Krylov subspace approximation to operator functions. (English) Zbl 1258.65052 BIT 52, No. 3, 639-659 (2012). Reviewer: Ludwig Kohaupt (Berlin) MSC: 65J10 65J08 47D06 65M60 65M12 PDFBibTeX XMLCite \textit{V. Grimm}, BIT 52, No. 3, 639--659 (2012; Zbl 1258.65052) Full Text: DOI
Akhir, Mohd Kamalrulzaman Md; Othman, Mohamed; Majid, Zanariah Abdul; Suleiman, Mohamed; Sulaiman, Jumat Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz equation. (English) Zbl 1246.65082 Int. J. Math. Anal., Ruse 6, No. 17-20, 963-974 (2012). MSC: 65J15 65N06 47H10 47J25 35J05 PDFBibTeX XMLCite \textit{M. K. M. Akhir} et al., Int. J. Math. Anal., Ruse 6, No. 17--20, 963--974 (2012; Zbl 1246.65082) Full Text: Link
Lassas, M.; Mueller, J. L.; Siltanen, S.; Stahel, A. The Novikov-Veselov equation and the inverse scattering method. II: Computation. (English) Zbl 1247.65116 Nonlinearity 25, No. 6, 1799-1818 (2012). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M06 35Q53 47J35 37K15 65T60 PDFBibTeX XMLCite \textit{M. Lassas} et al., Nonlinearity 25, No. 6, 1799--1818 (2012; Zbl 1247.65116) Full Text: DOI
Iso, Yuusuke Convergence of a semi-discrete finite difference scheme applied to the abstract Cauchy problem on a scale of Banach spaces. (English) Zbl 1236.65060 Proc. Japan Acad., Ser. A 87, No. 7, 109-113 (2011). MSC: 65J08 65J10 47D06 65M06 65J20 65M20 35L45 PDFBibTeX XMLCite \textit{Y. Iso}, Proc. Japan Acad., Ser. A 87, No. 7, 109--113 (2011; Zbl 1236.65060) Full Text: DOI
Kwon, Yonghoon; Lee, Younhee A second-order tridiagonal method for American options under jump-diffusion models. (English) Zbl 1227.91034 SIAM J. Sci. Comput. 33, No. 4, 1860-1872 (2011). MSC: 91G20 91G60 65M06 65M12 47G20 PDFBibTeX XMLCite \textit{Y. Kwon} and \textit{Y. Lee}, SIAM J. Sci. Comput. 33, No. 4, 1860--1872 (2011; Zbl 1227.91034) Full Text: DOI Link
Kasyanov, P. O. Differential-operator inclusions and multivariational inequalities with pseudomonotone mappings. (English. Russian original) Zbl 1221.47108 Cybern. Syst. Anal. 46, No. 2, 282-289 (2010); translation from Kibern. Sist. Anal. 2010, No. 2, 126-134 (2010). Reviewer: Marlène Frigon (Montréal) MSC: 47J22 34A60 PDFBibTeX XMLCite \textit{P. O. Kasyanov}, Cybern. Syst. Anal. 46, No. 2, 282--289 (2010; Zbl 1221.47108); translation from Kibern. Sist. Anal. 2010, No. 2, 126--134 (2010) Full Text: DOI
Jara, Patricio Rational approximation schemes for solutions of the first and second order Cauchy problem. (English) Zbl 1186.65065 Proc. Am. Math. Soc. 137, No. 11, 3885-3898 (2009). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65J08 65L05 65L12 65L20 34G10 65M06 47D06 47D60 65M12 65M15 PDFBibTeX XMLCite \textit{P. Jara}, Proc. Am. Math. Soc. 137, No. 11, 3885--3898 (2009; Zbl 1186.65065) Full Text: DOI
Atkinson, Kendall; Han, Weimin Theoretical numerical analysis. A functional analysis framework. 3rd ed. (English) Zbl 1181.47078 Texts in Applied Mathematics 39. Berlin: Springer (ISBN 978-1-4419-0457-7/hbk; 978-1-4419-0458-4/ebook). xvi, 625 p. (2009). Reviewer: Costică Moroşanu (Iaşi) MSC: 47N40 46N40 65-01 65N12 65D05 65Jxx 65R20 PDFBibTeX XMLCite \textit{K. Atkinson} and \textit{W. Han}, Theoretical numerical analysis. A functional analysis framework. 3rd ed. Berlin: Springer (2009; Zbl 1181.47078) Full Text: DOI
Wang, Ying-xi; Du, Kui; Sun, Wei-wei Fast algorithms for the electromagnetic scattering from rectangular cavities. (English) Zbl 1184.78018 Ding, Deng (ed.) et al., Recent advances in computational mathematics. Proceedings from the international workshop on computational mathematics and finance held at the University of Macau, China, December 15–16, 2006. Somerville, MA: International Press (ISBN 978-1-57146-132-2/pbk). 13-38 (2008). MSC: 78A45 78M20 78M10 65T50 47B35 35J05 PDFBibTeX XMLCite \textit{Y.-x. Wang} et al., in: Recent advances in computational mathematics. Proceedings from the international workshop on computational mathematics and finance held at the University of Macau, China, December 15--16, 2006. Somerville, MA: International Press. 13--38 (2008; Zbl 1184.78018)
Dahmen, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold; Zeiser, Andreas Adaptive eigenvalue computation: Complexity estimates. (English) Zbl 1157.65029 Numer. Math. 110, No. 3, 277-312 (2008). Reviewer: Iulian Coroian (Baia Mare) MSC: 65J10 65F15 65N25 65N55 47A10 65N06 65N30 35Q40 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Numer. Math. 110, No. 3, 277--312 (2008; Zbl 1157.65029) Full Text: DOI arXiv
Kornev, A. A. A problem of asymptotic stabilization by the right-hand side. (English) Zbl 1152.65064 Russ. J. Numer. Anal. Math. Model. 23, No. 4, 407-422 (2008). MSC: 65J15 35K55 65M06 47J25 65M12 PDFBibTeX XMLCite \textit{A. A. Kornev}, Russ. J. Numer. Anal. Math. Model. 23, No. 4, 407--422 (2008; Zbl 1152.65064) Full Text: DOI
Tanaka, Naoki Approximation of abstract quasilinear evolution equations in the sense of Hadamard. (English) Zbl 1161.34032 Taiwanese J. Math. 12, No. 3, 767-792 (2008). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 34G20 47D60 41A65 PDFBibTeX XMLCite \textit{N. Tanaka}, Taiwanese J. Math. 12, No. 3, 767--792 (2008; Zbl 1161.34032) Full Text: DOI
Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; Manzano, Fernando High order iterative schemes for quadratic equations. (English) Zbl 1155.65039 Numer. Algorithms 48, No. 4, 373-381 (2008). Reviewer: Otu Vaarmann (Tallinn) MSC: 65J15 65N06 47J25 65N12 35J05 PDFBibTeX XMLCite \textit{V. Alarcón} et al., Numer. Algorithms 48, No. 4, 373--381 (2008; Zbl 1155.65039) Full Text: DOI
Beyn, Wolf-Jürgen; Piskarev, Sergey Shadowing for discrete approximations of abstract parabolic equations. (English) Zbl 1158.65066 Discrete Contin. Dyn. Syst., Ser. B 10, No. 1, 19-42 (2008). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M20 65J15 65M12 35K90 34G20 65M06 65M60 47J35 PDFBibTeX XMLCite \textit{W.-J. Beyn} and \textit{S. Piskarev}, Discrete Contin. Dyn. Syst., Ser. B 10, No. 1, 19--42 (2008; Zbl 1158.65066) Full Text: DOI
Vinogradova, P. V.; Zarubin, A. G. Projection-difference method for a linear operator-differential equation. (English. Russian original) Zbl 1176.65067 Differ. Equ. 43, No. 9, 1262-1270 (2007); translation from Differ. Uravn. 43, No. 9, 1230-1237 (2007). MSC: 65J08 47D06 65J10 65L05 34G10 65L12 65L20 PDFBibTeX XMLCite \textit{P. V. Vinogradova} and \textit{A. G. Zarubin}, Differ. Equ. 43, No. 9, 1262--1270 (2007; Zbl 1176.65067); translation from Differ. Uravn. 43, No. 9, 1230--1237 (2007) Full Text: DOI
Gyöngy, István; Krylov, Nicolai V. On acceleration of approximation methods. (English) Zbl 1098.65054 Da Prato, Giuseppe (ed.) et al., Stochastic partial differential equations and applications – VII. Papers of the 7th meeting, Levico, Terme, Italy, January 5–10, 2004. Boca Raton, FL: Chapman & Hall/CRC (ISBN 0-8247-0027-9/pbk). Lecture Notes in Pure and Applied Mathematics 245, 149-167 (2006). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65J05 65L05 65L10 65L12 65B05 47J25 65L20 PDFBibTeX XMLCite \textit{I. Gyöngy} and \textit{N. V. Krylov}, Lect. Notes Pure Appl. Math. 245, 149--167 (2006; Zbl 1098.65054)
Croisille, J.-P.; Ern, A.; Lelièvre, T.; Proft, J. Analysis and simulation of a coupled hyperbolic/parabolic model problem. (English) Zbl 1081.65084 J. Numer. Math. 13, No. 2, 81-103 (2005). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 47D06 76M12 65M60 35M20 35M10 PDFBibTeX XMLCite \textit{J. P. Croisille} et al., J. Numer. Math. 13, No. 2, 81--103 (2005; Zbl 1081.65084) Full Text: DOI
Atkinson, Kendall; Han, Weimin Theoretical numerical analysis. A functional analysis framework. 2nd ed. (English) Zbl 1068.47091 Texts in Applied Mathematics 39. New York, NY: Springer (ISBN 0-387-25887-6/hbk). xviii, 576 p. (2005). Reviewer: Aleksandar Perović (Berlin) MSC: 47N40 46N40 65-01 65N12 65D05 65Jxx 65R20 65L60 PDFBibTeX XMLCite \textit{K. Atkinson} and \textit{W. Han}, Theoretical numerical analysis. A functional analysis framework. 2nd ed. New York, NY: Springer (2005; Zbl 1068.47091) Full Text: DOI
Fortaki, T.; Khedrouche, D.; Bouttout, F.; Benghalia, A. Vector Hankel transform analysis of a tunable circular microstrip patch. (English) Zbl 1091.78019 Commun. Numer. Methods Eng. 21, No. 5, 219-231 (2005). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M20 47B35 65N30 PDFBibTeX XMLCite \textit{T. Fortaki} et al., Commun. Numer. Methods Eng. 21, No. 5, 219--231 (2005; Zbl 1091.78019) Full Text: DOI
Saito, Norikazu Remarks on the rational approximation of holomorphic semigroups with nonuniform partitions. (English) Zbl 1070.65084 Japan J. Ind. Appl. Math. 21, No. 3, 323-337 (2004). Reviewer: Erwin Schechter (Moers) MSC: 65M15 65M12 65M06 35K90 47D06 34G10 65L70 65J10 PDFBibTeX XMLCite \textit{N. Saito}, Japan J. Ind. Appl. Math. 21, No. 3, 323--337 (2004; Zbl 1070.65084) Full Text: DOI
Bassetti, Federico Variable time-step discretization of degenerate evolution equations in Banach spaces. (English) Zbl 1023.35007 Numer. Funct. Anal. Optimization 24, No. 3-4, 391-426 (2003). MSC: 35A35 34G25 35K65 47J25 47J20 47H04 47H05 65M06 PDFBibTeX XMLCite \textit{F. Bassetti}, Numer. Funct. Anal. Optim. 24, No. 3--4, 391--426 (2003; Zbl 1023.35007) Full Text: DOI
Sapagovas, M. P. The eigenvalues of some problems with a nonlocal condition. (English. Russian original) Zbl 1072.65119 Differ. Equ. 38, No. 7, 1020-1026 (2002); translation from Differ. Uravn. 38, No. 7, 961-967 (2002). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65M06 35L05 47B39 47A70 65F10 39A70 PDFBibTeX XMLCite \textit{M. P. Sapagovas}, Differ. Equ. 38, No. 7, 1020--1026 (2002; Zbl 1072.65119); translation from Differ. Uravn. 38, No. 7, 961--967 (2002) Full Text: DOI
Borovykh, N.; Drissi, D.; Spijker, M. N. A bound on powers of linear operators, with relevance to numerical stability. (English) Zbl 1028.47008 Appl. Math. Lett. 15, No. 1, 47-53 (2002). Reviewer: Khristo N.Boyadzhiev (Ada) MSC: 47A30 65J10 47A50 65M12 PDFBibTeX XMLCite \textit{N. Borovykh} et al., Appl. Math. Lett. 15, No. 1, 47--53 (2002; Zbl 1028.47008) Full Text: DOI
Silbermann, B. Limit operators in operator theory and asymptotic spectral theory. (English) Zbl 1057.47077 Proceedings of the fourth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 22–28, 2000. Vol. I. Palermo: Circolo Matemàtico di Palermo. Suppl. Rend. Circ. Mat. Palermo, II. Ser. 68(1), 157-168 (2002). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47L80 47-02 47A53 47B37 47L10 65J10 65L12 PDFBibTeX XMLCite \textit{B. Silbermann}, in: Proceedings of the fourth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 22--28, 2000. Vol. I. Palermo: Circolo Matemàtico di Palermo. 157--168 (2002; Zbl 1057.47077)
Flory, Simone; Neubrander, Frank; Zhuang, Yu On the regularization and stabilization of approximation schemes for \(C_0\)-semigroups. (English) Zbl 1024.47019 Demuth, Michael (ed.) et al., Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24-28, 2000. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 126, 119-132 (2001). MSC: 47D06 65M06 34K07 65M12 PDFBibTeX XMLCite \textit{S. Flory} et al., in: Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24--28, 2000. Basel: Birkhäuser. 119--132 (2001; Zbl 1024.47019)
Atkinson, Kendall; Han, Weimin Theoretical numerical analysis. A functional analysis framework. (English) Zbl 0966.65001 Texts in Applied Mathematics. 39. New York, NY: Springer. xvi, 450 p. DM 139.00; öS 1015.00; sFr 120.00; £48.00; $ 59.95 (2001). Reviewer: A.Akutowicz (Berlin) MSC: 65-01 65N12 46N40 47N40 65D05 65Jxx 65R20 65L60 PDFBibTeX XMLCite \textit{K. Atkinson} and \textit{W. Han}, Theoretical numerical analysis. A functional analysis framework. New York, NY: Springer (2001; Zbl 0966.65001) Full Text: DOI
Vojtsekhovs’kyj, S. O. Increase of accuracy of the method of finite difference in eigenvalue problems. (Ukrainian. English summary) Zbl 0979.47015 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 2, 205-212 (2000). MSC: 47A75 65Q05 PDFBibTeX XMLCite \textit{S. O. Vojtsekhovs'kyj}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 2, 205--212 (2000; Zbl 0979.47015)
Sommariva, Alvise; Vianello, Marco Computing positive fixed-points of decreasing Hammerstein operators by relaxed iterations. (English) Zbl 0979.65047 J. Integral Equations Appl. 12, No. 1, 95-112 (2000). Reviewer: Etienne Emmrich (Berlin) MSC: 65J15 65H10 47H10 47J25 65R20 47H07 45G10 35K55 65M06 PDFBibTeX XMLCite \textit{A. Sommariva} and \textit{M. Vianello}, J. Integral Equations Appl. 12, No. 1, 95--112 (2000; Zbl 0979.65047) Full Text: DOI Link
Tanana, V. P. Necessary and sufficient conditions of convergence of finite-dimensional approximations for \(L\)-regularized solutions of operator equations. (English) Zbl 1005.65052 J. Inverse Ill-Posed Probl. 8, No. 4, 449-457 (2000). Reviewer: Gabriel Dimitriu (Iaşi) MSC: 65J10 65R20 65R30 65J20 47A52 45J05 PDFBibTeX XMLCite \textit{V. P. Tanana}, J. Inverse Ill-Posed Probl. 8, No. 4, 449--457 (2000; Zbl 1005.65052) Full Text: DOI
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun Smoothing methods and semismooth methods for nondifferentiable operator equations. (English) Zbl 0979.65046 SIAM J. Numer. Anal. 38, No. 4, 1200-1216 (2000). Reviewer: Etienne Emmrich (Berlin) MSC: 65J15 47J25 35J65 65N06 65H10 PDFBibTeX XMLCite \textit{X. Chen} et al., SIAM J. Numer. Anal. 38, No. 4, 1200--1216 (2000; Zbl 0979.65046) Full Text: DOI
Argyros, I. K. Local convergence of inexact Newton-like iterative methods and applications. (English) Zbl 0976.65054 Comput. Math. Appl. 39, No. 1-2, 69-75 (2000). Reviewer: Etienne Emmrich (Berlin) MSC: 65J15 47J25 34B15 65L12 65L10 PDFBibTeX XMLCite \textit{I. K. Argyros}, Comput. Math. Appl. 39, No. 1--2, 69--75 (2000; Zbl 0976.65054) Full Text: DOI
Vladova, T. V. On the perturbation of the Dirac operator by a finite difference operator. (Russian) Zbl 0977.47010 Funkts. Anal. 37, 29-37 (1999). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 47A55 47E05 47B39 PDFBibTeX XMLCite \textit{T. V. Vladova}, Funkts. Anal. 37, 29--37 (1999; Zbl 0977.47010)
Menikhes, L. D.; Tanana, V. P. A criterion for convergence of regularization method approximation in Banach spaces. (English. Russian original) Zbl 0960.65062 Dokl. Math. 58, No. 3, 449-451 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 5, 599-601 (1998). MSC: 65J10 45B05 65R20 65J20 47A52 65R30 PDFBibTeX XMLCite \textit{L. D. Menikhes} and \textit{V. P. Tanana}, Dokl. Math. 58, No. 3, 599--601 (1998; Zbl 0960.65062); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 5, 599--601 (1998)
Menikhes, L. D.; Tanana, V. P. On convergence of approximations in the regularization method and the Tikhonov regularization method on the \(n\)-th order. (English) Zbl 0923.65025 J. Inverse Ill-Posed Probl. 6, No. 3, 243-262 (1998). Reviewer: T.Regińska (Warszawa) MSC: 65J10 65J20 45B05 65R20 65R30 47A50 PDFBibTeX XMLCite \textit{L. D. Menikhes} and \textit{V. P. Tanana}, J. Inverse Ill-Posed Probl. 6, No. 3, 243--262 (1998; Zbl 0923.65025) Full Text: DOI
Tanana, V. P. Methods for solving operator equations. (English) Zbl 0899.65034 Inverse and Ill-posed Problems Series. Utrecht: VSP. 223 p. (1997). MSC: 65Jxx 65-02 47J25 47A50 PDFBibTeX XMLCite \textit{V. P. Tanana}, Methods for solving operator equations. Utrecht: VSP (1997; Zbl 0899.65034)
McLean, W.; Thomée, V.; Wahlbin, L. B. Discretization with variable time steps of an evolution equation with a positive-type memory term. (English) Zbl 0858.65143 J. Comput. Appl. Math. 69, No. 1, 49-69 (1996). Reviewer: G.Vainikko (Espoo) MSC: 65R20 45K05 45N05 47G20 65J10 PDFBibTeX XMLCite \textit{W. McLean} et al., J. Comput. Appl. Math. 69, No. 1, 49--69 (1996; Zbl 0858.65143) Full Text: DOI
Pham Ky Anh; Nguyen Van Hung Regularized Seidel-Newton method and nonlinear problems at resonance. (English) Zbl 0851.65037 Southeast Asian Bull. Math. 20, No. 2, 49-56 (1996). Reviewer: W.C.Rheinboldt (Pittsburgh) MSC: 65J15 65L12 34B30 47J25 65L10 PDFBibTeX XMLCite \textit{Pham Ky Anh} and \textit{Nguyen Van Hung}, Southeast Asian Bull. Math. 20, No. 2, 49--56 (1996; Zbl 0851.65037)
Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei Difference Schrödinger operators with the fixed symmetry properties. (English) Zbl 0841.47020 Keller, Jaime (ed.) et al., Proceedings of the XXIIth international conference on differential geometric methods in theoretical physics, Ixtapa-Zihuatanejo, México, September 20-24, 1993. México: Universidad Nacional Autónoma de México. 471-481 (1994). MSC: 47B39 81Q05 PDFBibTeX XMLCite \textit{V. Spiridonov} et al., in: Proceedings of the XXIIth international conference on differential geometric methods in theoretical physics, Ixtapa-Zihuatanejo, México, September 20-24, 1993. México: Universidad Nacional Autónoma de México. 471--481 (1994; Zbl 0841.47020)
Basik, V. A.; Monastyrnyj, P. I.; Radaeva, V. A. A generalization of S. K. Godunov’s method for boundary value problems with separated multipoint conditions. (Russian. English summary) Zbl 0819.65092 Dokl. Akad. Nauk Belarusi 38, No. 4, 11-15 (1994). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65J10 65M06 65L12 65L10 35G10 35K25 47E05 34B10 PDFBibTeX XMLCite \textit{V. A. Basik} et al., Dokl. Akad. Nauk Belarusi 38, No. 4, 11--15 (1994; Zbl 0819.65092)
Böhmer, K. On a numerical Lyapunov-Schmidt method for operator equations. (English) Zbl 0801.65051 Computing 51, No. 3-4, 237-269 (1993). Reviewer: R.D.Grigorieff (Berlin) MSC: 65J15 47J25 47J05 35J65 65N06 35P30 65N25 PDFBibTeX XMLCite \textit{K. Böhmer}, Computing 51, No. 3--4, 237--269 (1993; Zbl 0801.65051) Full Text: DOI
Verma, Ram U. On the external approximation-solvability of nonlinear equations. (English) Zbl 0759.65035 Panam. Math. J. 2, No. 3, 23-42 (1992). Reviewer: Yu Wenhuan (Tianjin) MSC: 65J15 65N06 47J25 35J65 PDFBibTeX XMLCite \textit{R. U. Verma}, Panam. Math. J. 2, No. 3, 23--42 (1992; Zbl 0759.65035)
Chronopoulos, A. T. Nonlinear CG-like iterative methods. (English) Zbl 0755.65048 J. Comput. Appl. Math. 40, No. 1, 73-89 (1992). Reviewer: A.Swift (Palmerston North) MSC: 65H10 65J15 47J25 65F10 65N06 PDFBibTeX XMLCite \textit{A. T. Chronopoulos}, J. Comput. Appl. Math. 40, No. 1, 73--89 (1992; Zbl 0755.65048) Full Text: DOI
Iannelli, M.; Milner, F. A.; Pugliese, A. Analytical and numerical results for the age-structured S-I-S epidemic model with mixed inter-intracohort transmission. (English) Zbl 0776.35032 SIAM J. Math. Anal. 23, No. 3, 662-688 (1992). MSC: 35L60 65M25 92D30 47H20 PDFBibTeX XMLCite \textit{M. Iannelli} et al., SIAM J. Math. Anal. 23, No. 3, 662--688 (1992; Zbl 0776.35032) Full Text: DOI
Argyros, Ioannis K. The secant method in generalized Banach spaces. (English) Zbl 0724.65061 Appl. Math. Comput. 39, No. 2, 111-121 (1990). Reviewer: E.Bohl (Konstanz) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Appl. Math. Comput. 39, No. 2, 111--121 (1990; Zbl 0724.65061) Full Text: DOI
Strelkov, N. A. On the relationship between difference and projection-difference methods. (English) Zbl 0724.65057 Numerical analysis and mathematical modelling, Banach Cent. Publ. 24, 355-377 (1990). Reviewer: I.Marek (Praha) MSC: 65J10 65N30 65N06 47A50 35J25 PDFBibTeX XML
Mittelmann, H. D.; Thomson, B. H. An algorithm that exploits symmetries in bifurcation problems. (English) Zbl 0616.65063 Numerical techniques in continuum mechanics, Proc. 2nd GAMM-Semin., Kiel/Ger. 1986, Notes Numer. Fluid Mech. 16, 52-68 (1987). MSC: 65J15 65L15 65H17 47J10 34C25 34L99 PDFBibTeX XML
Hoppe, Ronald H. W. Interpolation of cosine operator functions. (English) Zbl 0562.47035 Ann. Mat. Pura Appl., IV. Ser. 136, 183-212 (1984). MSC: 47D03 46M35 46E35 35G10 35K25 35D10 PDFBibTeX XMLCite \textit{R. H. W. Hoppe}, Ann. Mat. Pura Appl. (4) 136, 183--212 (1984; Zbl 0562.47035) Full Text: DOI
Brilla, I.; Brilla, J. Buckling of elastic and viscoelastic columns with physical and geometrical nonlinearities. (English) Zbl 0615.73056 Trends in applications of pure mathematics to mechanics IV, Pap. 4th Symp., Bratislava/Czech. 1981, Monogr. Stud. Math. 20, 1-18 (1983). MSC: 74G60 47J05 74B20 74K10 74D99 47A53 47A60 PDFBibTeX XML
Janovsky, V.; Marek, I.; Neuberg, J. Maxwell’s equations with incident wave as a field source. (English) Zbl 0521.34033 Differential equations and their applications, Equadiff 5, Proc. 5th Czech. Conf., Bratislava 1981, Teubner-Texte Math. 47, 237-240 (1982). MSC: 34L99 47E05 65N12 78A30 34A30 PDFBibTeX XML
Lin, Qun Iterative corrections for nonlinear operator equations with applications to the difference method. (English) Zbl 1183.65059 J. Syst. Sci. Math. Sci. 1, No. 2, 139-148 (1981). MSC: 65J15 47J25 65N06 PDFBibTeX XMLCite \textit{Q. Lin}, J. Syst. Sci. Math. Sci. 1, 139--148 (1981; Zbl 1183.65059) Full Text: Link
Marchuk, G. I.; Agoshkov, V. I. Introduction to projection-grid methods. (Vvedenie v proektsionno- setochnye metody). (Russian) Zbl 0642.65037 Moskva: Nauka. 416 p. R. 1.20 (1981). MSC: 65J10 65N30 65-02 65N06 65N25 35J25 47A50 35G10 35K25 PDFBibTeX XML
Vasin, V. V. A general scheme for discretization of regularizing algorithms in Banach spaces. (English. Russian original) Zbl 0539.65039 Sov. Math., Dokl. 23, 494-498 (1981); translation from Dokl. Akad. Nauk SSSR 258, 271-275 (1981). Reviewer: L.B.Rall MSC: 65J10 65R20 45B05 47A50 PDFBibTeX XMLCite \textit{V. V. Vasin}, Sov. Math., Dokl. 23, 494--498 (1981; Zbl 0539.65039); translation from Dokl. Akad. Nauk SSSR 258, 271--275 (1981)
Lin, Qun Iterative corrections for nonlinear eigenvalue problem of operator equations. (English) Zbl 0515.47032 Res. Rep., Mat. Sci. IMS-1, 8 p. (1981). MSC: 47J05 47A12 65J15 47J25 PDFBibTeX XML
Tanana, V. P. Methods for solving operator equations. (Metody resheniya operatornykh uravnenij). (Russian) Zbl 0501.65016 Akademiya Nauk SSSR. Ural’skij Nauchnyj Tsentr. Institut Matematiki i mekhaniki. Moskva: Izdatel’stvo “Nauka”. 160 p. R. 0.95 (1981). MSC: 65Jxx 65-02 47J25 47A50 PDFBibTeX XML
Hackbusch, W. Numerical solution of linear and nonlinear parabolic control problems. (English) Zbl 0472.49026 Optimization and optimal control, Proc. Conf., Oberwolfach 1980, Lect. Notes Control Inf. Sci. 30, 179-185 (1981). MSC: 49M05 35G10 35K25 65N06 47H99 PDFBibTeX XML