Wang, Guanjie; Sahu, Smita; Liao, Qifeng An adaptive ANOVA stochastic Galerkin method for partial differential equations with high-dimensional random inputs. (English) Zbl 07788946 J. Sci. Comput. 98, No. 1, Paper No. 24, 26 p. (2024). MSC: 65C30 35B30 35R60 65C30 65D40 PDFBibTeX XMLCite \textit{G. Wang} et al., J. Sci. Comput. 98, No. 1, Paper No. 24, 26 p. (2024; Zbl 07788946) Full Text: DOI arXiv
Wang, Guanjie; Liao, Qifeng Reduced basis stochastic Galerkin methods for partial differential equations with random inputs. (English) Zbl 07764805 Appl. Math. Comput. 463, Article ID 128375, 15 p. (2024). MSC: 60Hxx 65Cxx 65Nxx PDFBibTeX XMLCite \textit{G. Wang} and \textit{Q. Liao}, Appl. Math. Comput. 463, Article ID 128375, 15 p. (2024; Zbl 07764805) Full Text: DOI arXiv
Kröker, Ilja; Oladyshkin, Sergey; Rybak, Iryna Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems. (English) Zbl 1528.76077 Comput. Geosci. 27, No. 5, 805-827 (2023). MSC: 76S05 65C30 65M60 76D07 76M12 35Q35 PDFBibTeX XMLCite \textit{I. Kröker} et al., Comput. Geosci. 27, No. 5, 805--827 (2023; Zbl 1528.76077) Full Text: DOI OA License
Liu, Yarong; Wang, Yejuan; Caraballo, Tomás The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise. (English) Zbl 1500.35318 Stoch. Dyn. 22, No. 5, Article ID 2250022, 50 p. (2022). Reviewer: Lucio Galeati (Lausanne) MSC: 35R60 35B30 35B35 35B65 35Q35 60H15 PDFBibTeX XMLCite \textit{Y. Liu} et al., Stoch. Dyn. 22, No. 5, Article ID 2250022, 50 p. (2022; Zbl 1500.35318) Full Text: DOI
El Mufti, Karim; Yahia, Rania Polynomial stability in viscoelastic network of strings. (English) Zbl 1487.35362 Discrete Contin. Dyn. Syst., Ser. S 15, No. 6, 1421-1438 (2022). MSC: 35Q74 35B30 35B35 PDFBibTeX XMLCite \textit{K. El Mufti} and \textit{R. Yahia}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 6, 1421--1438 (2022; Zbl 1487.35362) Full Text: DOI
Wang, Yuepeng; Ding, Xuemei; Hu, Kun; Fang, Fangxin; Navon, I. M.; Lin, Guang Feasibility of DEIM for retrieving the initial field via dimensionality reduction. (English) Zbl 07500740 J. Comput. Phys. 429, Article ID 110005, 15 p. (2021). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Comput. Phys. 429, Article ID 110005, 15 p. (2021; Zbl 07500740) Full Text: DOI
Sun, Xiang; Choi, Jung-Il Non-intrusive reduced-order modeling for uncertainty quantification of space-time-dependent parameterized problems. (English) Zbl 1524.76230 Comput. Math. Appl. 87, 50-64 (2021). MSC: 76M10 65M60 76D05 65N99 35B30 76M22 PDFBibTeX XMLCite \textit{X. Sun} and \textit{J.-I. Choi}, Comput. Math. Appl. 87, 50--64 (2021; Zbl 1524.76230) Full Text: DOI
Li, Chan; Liang, Jin; Xiao, Ti-Jun Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping. (English) Zbl 1458.35060 J. Differ. Equations 271, 76-106 (2021). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B40 47D06 93D15 74D10 35B35 35B30 74M05 35L20 PDFBibTeX XMLCite \textit{C. Li} et al., J. Differ. Equations 271, 76--106 (2021; Zbl 1458.35060) Full Text: DOI
De Filippis, Cristiana Gradient bounds for solutions to irregular parabolic equations with \((p, q)\)-growth. (English) Zbl 1450.35086 Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 171, 31 p. (2020). MSC: 35B45 35K20 35K61 35K92 35R05 PDFBibTeX XMLCite \textit{C. De Filippis}, Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 171, 31 p. (2020; Zbl 1450.35086) Full Text: DOI arXiv
Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald; Nichols, James Reduced basis greedy selection using random training sets. (English) Zbl 1444.62113 ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1509-1524 (2020). MSC: 62M45 65D05 65Y20 68Q32 68Q30 35B30 41A25 58D15 PDFBibTeX XMLCite \textit{A. Cohen} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1509--1524 (2020; Zbl 1444.62113) Full Text: DOI arXiv
Zhou, Yicheng; Lu, Zhenzhou; Hu, Jinghan; Hu, Yingshi Surrogate modeling of high-dimensional problems via data-driven polynomial chaos expansions and sparse partial least square. (English) Zbl 1442.65437 Comput. Methods Appl. Mech. Eng. 364, Article ID 112906, 25 p. (2020). MSC: 65N75 35R60 60G60 62G08 62J05 60-08 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112906, 25 p. (2020; Zbl 1442.65437) Full Text: DOI
Wang, Guanjie; Liao, Qifeng Efficient spectral stochastic finite element methods for Helmholtz equations with random inputs. (English) Zbl 1462.65014 East Asian J. Appl. Math. 9, No. 3, 601-621 (2019). MSC: 65C30 60H35 65N75 35J05 PDFBibTeX XMLCite \textit{G. Wang} and \textit{Q. Liao}, East Asian J. Appl. Math. 9, No. 3, 601--621 (2019; Zbl 1462.65014) Full Text: DOI
Yang, Lun; Qin, Yi; Narayan, Akil; Wang, Peng Data assimilation for models with parametric uncertainty. (English) Zbl 1452.65022 J. Comput. Phys. 396, 785-798 (2019). MSC: 65C30 65M75 65M70 PDFBibTeX XMLCite \textit{L. Yang} et al., J. Comput. Phys. 396, 785--798 (2019; Zbl 1452.65022) Full Text: DOI
Tsilifis, Panagiotis; Huan, Xun; Safta, Cosmin; Sargsyan, Khachik; Lacaze, Guilhem; Oefelein, Joseph C.; Najm, Habib N.; Ghanem, Roger G. Compressive sensing adaptation for polynomial chaos expansions. (English) Zbl 1451.62032 J. Comput. Phys. 380, 29-47 (2019). MSC: 62F15 35B30 35R60 76F80 PDFBibTeX XMLCite \textit{P. Tsilifis} et al., J. Comput. Phys. 380, 29--47 (2019; Zbl 1451.62032) Full Text: DOI arXiv
Benaissa, Abbes; Gaouar, Soumia Asymptotic stability for the Lamé system with fractional boundary damping. (English) Zbl 1442.35249 Comput. Math. Appl. 77, No. 5, 1331-1346 (2019). MSC: 35L53 35B30 35Q74 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{S. Gaouar}, Comput. Math. Appl. 77, No. 5, 1331--1346 (2019; Zbl 1442.35249) Full Text: DOI
Wahlsten, Markus; Nordström, Jan On stochastic investigation of flow problems using the viscous Burgers’ equation as an example. (English) Zbl 1466.65148 J. Sci. Comput. 81, No. 2, 1111-1117 (2019); correction ibid. 81, No. 2, 1118 (2019). MSC: 65M60 65D30 65M06 35Q53 35R60 PDFBibTeX XMLCite \textit{M. Wahlsten} and \textit{J. Nordström}, J. Sci. Comput. 81, No. 2, 1111--1117 (2019; Zbl 1466.65148) Full Text: DOI
Nasser, Rayan; Noun, Nahla; Wehbe, Ali Stabilization of the wave equations with localized Kelvin-Voigt type damping under optimal geometric conditions. (Stabilisation d’une équation des ondes avec un amortissement de type Kelvin-Voigt localisé sous conditions géométriques optimales.) (English. French summary) Zbl 1415.35047 C. R., Math., Acad. Sci. Paris 357, No. 3, 272-277 (2019). MSC: 35B40 35L20 35B35 35B30 PDFBibTeX XMLCite \textit{R. Nasser} et al., C. R., Math., Acad. Sci. Paris 357, No. 3, 272--277 (2019; Zbl 1415.35047) Full Text: DOI
Wang, Chengqiang Polynomial energy decay of a wave-Schrödinger transmission system. (English) Zbl 1499.35563 Bound. Value Probl. 2018, Paper No. 60, 14 p. (2018). MSC: 35Q55 35B30 35B35 35B40 35C20 35M33 35P05 PDFBibTeX XMLCite \textit{C. Wang}, Bound. Value Probl. 2018, Paper No. 60, 14 p. (2018; Zbl 1499.35563) Full Text: DOI
Wang, Yuepeng; Cheng, Yue; Zhang, Zongyuan; Lin, Guang Calibration of reduced-order model for a coupled Burgers equations based on PC-EnKF. (English) Zbl 1405.65130 Math. Model. Nat. Phenom. 13, No. 2, Paper No. 21, 18 p. (2018). MSC: 65M60 35Q53 35R60 60H35 35R30 PDFBibTeX XMLCite \textit{Y. Wang} et al., Math. Model. Nat. Phenom. 13, No. 2, Paper No. 21, 18 p. (2018; Zbl 1405.65130) Full Text: DOI
Rostamian, Malihe; Shahrezaee, Alimardan A meshless method for solving 1D time-dependent heat source problem. (English) Zbl 1398.65281 Inverse Probl. Sci. Eng. 26, No. 1, 51-82 (2018). MSC: 65N21 35K05 35R30 PDFBibTeX XMLCite \textit{M. Rostamian} and \textit{A. Shahrezaee}, Inverse Probl. Sci. Eng. 26, No. 1, 51--82 (2018; Zbl 1398.65281) Full Text: DOI
Guo, Hailong; Yang, Xu Gradient recovery for elliptic interface problem. III: Nitsche’s method. (English) Zbl 1380.65368 J. Comput. Phys. 356, 46-63 (2018). MSC: 65N30 35R05 35J25 65N15 PDFBibTeX XMLCite \textit{H. Guo} and \textit{X. Yang}, J. Comput. Phys. 356, 46--63 (2018; Zbl 1380.65368) Full Text: DOI arXiv
Zhu, Yuanpeng; Chen, Falai Modified bases of PHT-splines. (English) Zbl 1382.65370 Commun. Math. Stat. 5, No. 4, 381-397 (2017). MSC: 65N22 35J05 65N50 PDFBibTeX XMLCite \textit{Y. Zhu} and \textit{F. Chen}, Commun. Math. Stat. 5, No. 4, 381--397 (2017; Zbl 1382.65370) Full Text: DOI
Hiabu, Munir; Martínez-Miranda, María Dolores; Perch Nielsen, Jens; Spreeuw, Jaap; Tanggaard, Carsten; Villegas, Andrés M. Global polynomial kernel hazard estimation. (English) Zbl 1437.62367 Rev. Colomb. Estad. 38, No. 2, 399-411 (2015). MSC: 62N02 62G07 PDFBibTeX XMLCite \textit{M. Hiabu} et al., Rev. Colomb. Estad. 38, No. 2, 399--411 (2015; Zbl 1437.62367) Full Text: DOI
Karachik, V. V. Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball. (English. Russian original) Zbl 1331.35118 Differ. Equ. 51, No. 8, 1033-1042 (2015); translation from Differ. Uravn. 51, No. 8, 1038-1047 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 35J30 31B30 PDFBibTeX XMLCite \textit{V. V. Karachik}, Differ. Equ. 51, No. 8, 1033--1042 (2015; Zbl 1331.35118); translation from Differ. Uravn. 51, No. 8, 1038--1047 (2015) Full Text: DOI
Mirzaee, Farshid; Bimesl, Saeed Solving systems of high-order linear differential-difference equations via Euler matrix method. (English) Zbl 1327.35028 J. Egypt. Math. Soc. 23, No. 2, 286-291 (2015). MSC: 35B30 37M05 65M22 65N22 PDFBibTeX XMLCite \textit{F. Mirzaee} and \textit{S. Bimesl}, J. Egypt. Math. Soc. 23, No. 2, 286--291 (2015; Zbl 1327.35028) Full Text: DOI
Erdem, Arzu A numerical method based on the polynomial regression for the inverse diffusion problem. (English) Zbl 1328.65197 Int. J. Comput. Math. 92, No. 9, 1883-1894 (2015). MSC: 65M32 35K05 35R30 PDFBibTeX XMLCite \textit{A. Erdem}, Int. J. Comput. Math. 92, No. 9, 1883--1894 (2015; Zbl 1328.65197) Full Text: DOI
Teckentrup, A. L.; Jantsch, P.; Webster, C. G.; Gunzburger, M. A multilevel stochastic collocation method for partial differential equations with random input data. (English) Zbl 1327.65014 SIAM/ASA J. Uncertain. Quantif. 3, 1046-1074 (2015). MSC: 65C20 65C30 65N30 65N35 65M75 65T50 65T60 PDFBibTeX XMLCite \textit{A. L. Teckentrup} et al., SIAM/ASA J. Uncertain. Quantif. 3, 1046--1074 (2015; Zbl 1327.65014) Full Text: DOI arXiv
Beck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients. (English) Zbl 1350.65003 Comput. Math. Appl. 67, No. 4, 732-751 (2014). MSC: 65C30 60H15 60H35 35R60 65N30 65N12 PDFBibTeX XMLCite \textit{J. Beck} et al., Comput. Math. Appl. 67, No. 4, 732--751 (2014; Zbl 1350.65003) Full Text: DOI
Karachik, V. V. Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball. (Russian, English) Zbl 1313.35093 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 7, 1149- 1170 (2014); translation in Comput. Math. Math. Phys. 54, No. 7, 1122-1143 (2014). MSC: 35J40 35B30 PDFBibTeX XMLCite \textit{V. V. Karachik}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 7, 1149- 1170 (2014; Zbl 1313.35093); translation in Comput. Math. Math. Phys. 54, No. 7, 1122--1143 (2014) Full Text: DOI
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R. Analysis of discrete \(L^2\) projection on polynomial spaces with random evaluations. (English) Zbl 1301.41005 Found. Comput. Math. 14, No. 3, 419-456 (2014). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 41A25 65N12 65N15 65N35 PDFBibTeX XMLCite \textit{G. Migliorati} et al., Found. Comput. Math. 14, No. 3, 419--456 (2014; Zbl 1301.41005) Full Text: DOI
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R. Approximation of quantities of interest in stochastic PDEs by the random discrete \(L^2\) projection on polynomial spaces. (English) Zbl 1276.65004 SIAM J. Sci. Comput. 35, No. 3, A1440-A1460 (2013). MSC: 65C30 60H15 60H35 35R60 65N12 65N35 65N15 PDFBibTeX XMLCite \textit{G. Migliorati} et al., SIAM J. Sci. Comput. 35, No. 3, A1440--A1460 (2013; Zbl 1276.65004) Full Text: DOI
Hansen, Markus; Schwab, Christoph Analytic regularity and nonlinear approximation of a class of parametric semilinear elliptic PDEs. (English) Zbl 1273.35134 Math. Nachr. 286, No. 8-9, 832-860 (2013). MSC: 35J61 35B30 65N30 41A58 PDFBibTeX XMLCite \textit{M. Hansen} and \textit{C. Schwab}, Math. Nachr. 286, No. 8--9, 832--860 (2013; Zbl 1273.35134) Full Text: DOI Link
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth On the convergence of generalized polynomial chaos expansions. (English) Zbl 1273.65012 ESAIM, Math. Model. Numer. Anal. 46, No. 2, 317-339 (2012). MSC: 65C30 35R60 60H10 60H35 65N12 PDFBibTeX XMLCite \textit{O. G. Ernst} et al., ESAIM, Math. Model. Numer. Anal. 46, No. 2, 317--339 (2012; Zbl 1273.65012) Full Text: DOI
Karachik, Valery; Turmetov, Batirkhan; Bekaeva, Aygerim Solvability conditions of the Neumann boundary value problem for the biharmonic equation in the unit ball. (English) Zbl 1263.35088 Int. J. Pure Appl. Math. 81, No. 3, 487-496 (2012). Reviewer: Marius Ghergu (Dublin) MSC: 35J40 35J05 35B30 PDFBibTeX XMLCite \textit{V. Karachik} et al., Int. J. Pure Appl. Math. 81, No. 3, 487--496 (2012; Zbl 1263.35088) Full Text: Link
Render, Hermann; Ghergu, Marius Positivity properties for the clamped plate boundary problem on the ellipse and strip. (English) Zbl 1254.35074 Math. Nachr. 285, No. 8-9, 1052-1062 (2012). Reviewer: Lubomira Softova (Aversa) MSC: 35J40 35J08 31A30 31B30 35B09 PDFBibTeX XMLCite \textit{H. Render} and \textit{M. Ghergu}, Math. Nachr. 285, No. 8--9, 1052--1062 (2012; Zbl 1254.35074) Full Text: DOI Link
Chernov, Alexey Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading. (English) Zbl 1253.65184 Appl. Numer. Math. 62, No. 4, 360-377 (2012). Reviewer: Zhiming Chen (Beijing) MSC: 65N30 35J25 65R20 45K05 65N12 PDFBibTeX XMLCite \textit{A. Chernov}, Appl. Numer. Math. 62, No. 4, 360--377 (2012; Zbl 1253.65184) Full Text: DOI
Cohen, Albert; Dyn, Nira; Hecht, Frédéric; Mirebeau, Jean-Marie Adaptive multiresolution analysis based on anisotropic triangulations. (English) Zbl 1242.65293 Math. Comput. 81, No. 278, 789-810 (2012). Reviewer: Manfred Tasche (Rostock) MSC: 65T60 65D18 65M55 65D07 41A15 41A63 94A08 PDFBibTeX XMLCite \textit{A. Cohen} et al., Math. Comput. 81, No. 278, 789--810 (2012; Zbl 1242.65293) Full Text: DOI arXiv
Chen, Feng; Yip, Paul S. F.; Lam, K. F. On the local polynomial estimators of the counting process intensity function and its derivatives. (English) Zbl 1246.60074 Scand. J. Stat. 38, No. 4, 631-649 (2011). MSC: 60G55 62G08 62G07 62G20 62N02 62P25 62P35 PDFBibTeX XMLCite \textit{F. Chen} et al., Scand. J. Stat. 38, No. 4, 631--649 (2011; Zbl 1246.60074) Full Text: DOI
Beck, J.; Nobile, F.; Tamellini, L.; Tempone, R. Implementation of optimal Galerkin and collocation approximations of PDEs with random coefficients. (English) Zbl 1302.65249 ESAIM, Proc. 33, 10-21 (2011). MSC: 65N30 35A35 35R60 60H25 60H35 65N75 PDFBibTeX XMLCite \textit{J. Beck} et al., ESAIM, Proc. 33, 10--21 (2011; Zbl 1302.65249) Full Text: DOI
Bäck, Joakim; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raul Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: a numerical comparison. (English) Zbl 1216.65004 Hesthaven, Jan S. (ed.) et al., Spectral and high order methods for partial differential equations. Selected papers from the 8th ICOSAHOM ’09 conference, Trondheim, Norway, June 22–26, 2009. Berlin: Springer (ISBN 978-3-642-15336-5/hbk; 978-3-642-15337-2/ebook). Lecture Notes in Computational Science and Engineering 76, 43-62 (2011). MSC: 65C30 60H15 60H35 35R60 65N30 65N35 PDFBibTeX XMLCite \textit{J. Bäck} et al., Lect. Notes Comput. Sci. Eng. 76, 43--62 (2011; Zbl 1216.65004) Full Text: DOI
Lundberg, Erik; Render, Hermann The Khavinson-Shapiro conjecture and polynomial decompositions. (English) Zbl 1223.35101 J. Math. Anal. Appl. 376, No. 2, 506-513 (2011). Reviewer: Michael Reissig (Freiberg) MSC: 35C05 31B30 35J40 11C08 PDFBibTeX XMLCite \textit{E. Lundberg} and \textit{H. Render}, J. Math. Anal. Appl. 376, No. 2, 506--513 (2011; Zbl 1223.35101) Full Text: DOI
Tu, Tianliang; Mo, Jiong Interpolatory approximation to harmonic function with boundary data. (Chinese. English summary) Zbl 1224.30174 Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 2, 397-404 (2010). MSC: 30E05 30E10 41A10 41A25 PDFBibTeX XMLCite \textit{T. Tu} and \textit{J. Mo}, Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 2, 397--404 (2010; Zbl 1224.30174)
Berzins, Martin Nonlinear data-bounded polynomial approximations and their applications in ENO methods. (English) Zbl 1208.65123 Numer. Algorithms 55, No. 2-3, 171-189 (2010). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M06 65L03 65D05 PDFBibTeX XMLCite \textit{M. Berzins}, Numer. Algorithms 55, No. 2--3, 171--189 (2010; Zbl 1208.65123) Full Text: DOI
Zayed, E. M. E.; Al-Joudi, Shorog Applications of an extended \((G'/G)\)-expansion method to find exact solutions of nonlinear PDEs in mathematical physics. (English) Zbl 1207.35262 Math. Probl. Eng. 2010, Article ID 768573, 19 p. (2010). MSC: 35Q53 35Q51 35C07 35A24 35C09 35C11 35B30 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{S. Al-Joudi}, Math. Probl. Eng. 2010, Article ID 768573, 19 p. (2010; Zbl 1207.35262) Full Text: DOI EuDML
Oh, Hae-Soo; Jeong, Jae Woo Reproducing polynomial (singularity) particle methods and adaptive meshless methods for two-dimensional elliptic boundary value problems. (English) Zbl 1229.65227 Comput. Methods Appl. Mech. Eng. 198, No. 9-12, 933-946 (2009). MSC: 65N75 PDFBibTeX XMLCite \textit{H.-S. Oh} and \textit{J. W. Jeong}, Comput. Methods Appl. Mech. Eng. 198, No. 9--12, 933--946 (2009; Zbl 1229.65227) Full Text: DOI
Capdeville, G. A compact high-order HLL solver for nonlinear hyperbolic systems. (English) Zbl 1421.76162 Int. J. Numer. Methods Fluids 61, No. 1, 57-105 (2009). MSC: 76M12 65M08 35L99 76G25 76L05 PDFBibTeX XMLCite \textit{G. Capdeville}, Int. J. Numer. Methods Fluids 61, No. 1, 57--105 (2009; Zbl 1421.76162) Full Text: DOI
Capdeville, G. Towards a compact high-order method for non-linear hyperbolic systems. I: The Hermite least-square monotone (HLSM) reconstruction. (English) Zbl 1166.65375 J. Comput. Phys. 228, No. 10, 3762-3788 (2009). MSC: 65M20 35L65 65M50 65M06 76Q05 76M12 PDFBibTeX XMLCite \textit{G. Capdeville}, J. Comput. Phys. 228, No. 10, 3762--3788 (2009; Zbl 1166.65375) Full Text: DOI
Trujillo, Timothy; Wang, Bixiang Continuity of strong solutions of the reaction-diffusion equation in initial data. (English) Zbl 1158.35318 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2525-2532 (2008). MSC: 35B30 35K57 35K60 PDFBibTeX XMLCite \textit{T. Trujillo} and \textit{B. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2525--2532 (2008; Zbl 1158.35318) Full Text: DOI
Qiu, Peihua; Sun, Jingran Local smoothing image segmentation for spotted microarray images. (English) Zbl 1332.94016 J. Am. Stat. Assoc. 102, No. 480, 1129-1144 (2007). MSC: 94A08 62H35 62P10 92D20 PDFBibTeX XMLCite \textit{P. Qiu} and \textit{J. Sun}, J. Am. Stat. Assoc. 102, No. 480, 1129--1144 (2007; Zbl 1332.94016) Full Text: DOI
Yuan, Yubo; Fan, Weiguo; Pu, Dongmei Spline function smooth support vector machine for classification. (English) Zbl 1166.90361 J. Ind. Manag. Optim. 3, No. 3, 529-542 (2007). MSC: 90C20 65L07 65N12 PDFBibTeX XMLCite \textit{Y. Yuan} et al., J. Ind. Manag. Optim. 3, No. 3, 529--542 (2007; Zbl 1166.90361) Full Text: DOI
Anghel, Nicolae Projecting on polynomial Dirac spinors. (English) Zbl 1121.15027 Mladenov, Ivaïlo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9–14, 2006. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-37-0/pbk). 121-126 (2007). MSC: 15A66 31B05 31B20 81R25 PDFBibTeX XMLCite \textit{N. Anghel}, in: Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 9--14, 2006. Sofia: Bulgarian Academy of Sciences. 121--126 (2007; Zbl 1121.15027)
Radkevich, E. V. Well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity. (English. Russian original) Zbl 1129.35438 Dokl. Math. 72, No. 1, 578-583 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 403, No. 5, 602-606 (2005). MSC: 35L35 35B30 PDFBibTeX XMLCite \textit{E. V. Radkevich}, Dokl. Math. 72, No. 1, 578--583 (2005; Zbl 1129.35438); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 403, No. 5, 602--606 (2005)
Börm, Steffen Fast evaluation of eddy current integral operators. (English) Zbl 1056.65120 Feistauer, M. (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2003, the 5th European conference on numerical mathematics and advanced applications, Prague, Czech Republic, August 18–22, 2003. Berlin: Springer (ISBN 3-540-21460-7/hbk). 151-158 (2004). MSC: 65N38 35J25 PDFBibTeX XMLCite \textit{S. Börm}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2003, the 5th European conference on numerical mathematics and advanced applications, Prague, Czech Republic, August 18--22, 2003. Berlin: Springer. 151--158 (2004; Zbl 1056.65120)
Schneider, Guido Weak hyperbolicity and traveling waves. (English) Zbl 1014.35009 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 801-806 (2000). Reviewer: Alois Klíč (Praha) MSC: 35B40 35K90 35B30 PDFBibTeX XMLCite \textit{G. Schneider}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 801--806 (2000; Zbl 1014.35009)
Hackbusch, Wolfgang; Khoronskij, Boris N. \(\mathcal H\)-matrix approximation on graded meshes. (English) Zbl 0960.65047 Whiteman, J. R. (ed.), The mathematics of finite elements and applications X, MAFELAP 1999. Proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22-25, 1999. Amsterdam: Elsevier. 307-316 (2000). MSC: 65F30 65N50 65F50 65N30 65N38 PDFBibTeX XMLCite \textit{W. Hackbusch} and \textit{B. N. Khoronskij}, in: The mathematics of finite elements and applications X, MAFELAP 1999. Proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22--25, 1999. Amsterdam: Elsevier. 307--316 (2000; Zbl 0960.65047)
do Carmo Coimbra, Maria; Sereno, Carlos; Rodrigues, Alírio Modelling multicomponent adsorption process by a moving finite element method. (English) Zbl 0947.65110 J. Comput. Appl. Math. 115, No. 1-2, 169-179 (2000). Reviewer: M.A.Borodin (Donetsk) MSC: 65M60 35R05 35R35 35L67 PDFBibTeX XMLCite \textit{M. do Carmo Coimbra} et al., J. Comput. Appl. Math. 115, No. 1--2, 169--179 (2000; Zbl 0947.65110) Full Text: DOI
Nazarov, S. A. The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes. (English. Russian original) Zbl 0970.35026 Russ. Math. Surv. 54, No. 5, 947-1014 (1999); translation from Usp. Mat. Nauk 54, No. 5, 77-142 (1999). Reviewer: J.Diblík (Brno) MSC: 35J40 35J55 35B40 35C20 47A53 35Q30 47A56 74-XX 47B15 35R05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Russ. Math. Surv. 54, No. 5, 947--1014 (1999; Zbl 0970.35026); translation from Usp. Mat. Nauk 54, No. 5, 77--142 (1999) Full Text: DOI
Chepyzhov, Vladimir V.; Vishik, Mark I. Perturbation of trajectory attractors for dissipative hyperbolic equations. (English) Zbl 0938.35029 Rossmann, Jürgen (ed.) et al., The Maz’ya anniversary collection. Vol. 2: Rostock conference on functional analysis, partial differential equations and applications, Rostock, Germany, August 31-September 4, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 110, 33-54 (1999). MSC: 35B41 35B40 35L20 35L70 35B30 35B20 PDFBibTeX XMLCite \textit{V. V. Chepyzhov} and \textit{M. I. Vishik}, in: The Maz'ya anniversary collection. Vol. 2: Rostock conference on functional analysis, partial differential equations and applications, Rostock, Germany, August 31--September 4, 1998. Basel: Birkhäuser. 33--54 (1999; Zbl 0938.35029)
Ruf, Bernhard Bounds on the number of solutions for elliptic equations with polynomial nonlinearities. (English) Zbl 0930.35075 J. Differ. Equations 151, No. 1, 111-133 (1999). Reviewer: Charles A.Swanson (Vancouver) MSC: 35J65 35B30 PDFBibTeX XMLCite \textit{B. Ruf}, J. Differ. Equations 151, No. 1, 111--133 (1999; Zbl 0930.35075) Full Text: DOI Link
Bonafede, S.; Schmitt, D. “Triangular” reaction-diffusion systems with integrable initial data. (English) Zbl 0934.35061 Nonlinear Anal., Theory Methods Appl. 33, No. 7, 785-801 (1998). Reviewer: J.Graham-Eagle (Lowell) MSC: 35K50 35K55 PDFBibTeX XMLCite \textit{S. Bonafede} and \textit{D. Schmitt}, Nonlinear Anal., Theory Methods Appl. 33, No. 7, 785--801 (1998; Zbl 0934.35061) Full Text: DOI
Staffilani, Gigliola Quadratic forms for a 2-D semilinear Schrödinger equation. (English) Zbl 0872.35104 Duke Math. J. 86, No. 1, 79-107 (1997). Reviewer: H.Tanabe (Toyonaka) MSC: 35Q55 35B35 35B30 PDFBibTeX XMLCite \textit{G. Staffilani}, Duke Math. J. 86, No. 1, 79--107 (1997; Zbl 0872.35104) Full Text: DOI
Nazarov, S. A. Self-adjoint elliptic boundary-value problems. The polynomial property and formally positive operators. (English. Russian original) Zbl 0945.35029 J. Math. Sci., New York 92, No. 6, 4338-4353 (1998); translation from Probl. Mat. Anal. 16, 167-192 (1997). Reviewer: S.G.Pyatkov (Novosibirsk) MSC: 35J45 35J50 35J55 35R05 35G15 35B40 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 92, No. 6, 1 (1997; Zbl 0945.35029); translation from Probl. Mat. Anal. 16, 167--192 (1997) Full Text: DOI
Korsakienė, D. The Cauchy problem for a degenerating elliptic equation with many independent variables. (English. Russian original) Zbl 0895.35041 Lith. Math. J. 37, No. 3, 269-274 (1997); translation from Liet. Mat. Rink. 37, No. 3, 359-366 (1997). MSC: 35J70 32F99 35B30 35J15 PDFBibTeX XMLCite \textit{D. Korsakienė}, Lith. Math. J. 37, No. 3, 269--274 (1997; Zbl 0895.35041); translation from Liet. Mat. Rink. 37, No. 3, 359--366 (1997) Full Text: DOI
Cheng, Ming-Yen; Fan, Jianqing; Marron, J. S. On automatic boundary corrections. (English) Zbl 0890.62026 Ann. Stat. 25, No. 4, 1691-1708 (1997). MSC: 62G07 62C20 PDFBibTeX XMLCite \textit{M.-Y. Cheng} et al., Ann. Stat. 25, No. 4, 1691--1708 (1997; Zbl 0890.62026) Full Text: DOI
Everett, M. E. Homotopy, polynomial equations, Gross boundary data, and small Helmholtz systems. (English) Zbl 0848.65088 J. Comput. Phys. 124, No. 2, 431-441 (1996). Reviewer: T.C.Mohan (Madras) MSC: 65Z05 35R30 35J05 65H10 86A22 65H20 PDFBibTeX XMLCite \textit{M. E. Everett}, J. Comput. Phys. 124, No. 2, 431--441 (1996; Zbl 0848.65088) Full Text: DOI
Marron, J. S.; Ruppert, D. Transformations to reduce boundary bias in kernel density estimation. (English) Zbl 0805.62046 J. R. Stat. Soc., Ser. B 56, No. 4, 653-671 (1994). MSC: 62G07 PDFBibTeX XMLCite \textit{J. S. Marron} and \textit{D. Ruppert}, J. R. Stat. Soc., Ser. B 56, No. 4, 653--671 (1994; Zbl 0805.62046)
Korostelev, A. P.; Tsybakov, A. B. Minimax theory of image reconstruction. (English) Zbl 0833.62039 Lecture Notes in Statistics (Springer). 82. New York: Springer-Verlag. xi, 258 p. (1993). Reviewer: O.Bustos (Córdoba) MSC: 62G07 62-02 62N99 68U10 62P99 62-01 PDFBibTeX XMLCite \textit{A. P. Korostelev} and \textit{A. B. Tsybakov}, Minimax theory of image reconstruction. New York: Springer-Verlag (1993; Zbl 0833.62039)
Shibata, Y. On one-dimensional nonlinear thermoelasticity. (English) Zbl 0799.73018 Murthy, M. K. V. (ed.) et al., Nonlinear hyperbolic equations and field theory. Papers from a workshop on nonlinear hyperbolic equations held in Varenna, Italy, 1990. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 253, 178-184 (1992). Reviewer: Zheng Songmu (Shanghai) MSC: 74B99 74A15 PDFBibTeX XMLCite \textit{Y. Shibata}, Pitman Res. Notes Math. Ser. 253, 178--184 (1992; Zbl 0799.73018)
Guan, Zhicheng Existence of solutions to the problem of nonequilibrium phase change. (English) Zbl 0755.35157 Rend. Ist. Mat. Univ. Trieste 21, No. 1, 39-50 (1989). Reviewer: J.E.Bouillet (Buenos Aires) MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{Z. Guan}, Rend. Ist. Mat. Univ. Trieste 21, No. 1, 39--50 (1989; Zbl 0755.35157)
Yakubov, S. Ya. Multiple completeness of root vectors of a system of operator pencils and of boundary value problems with a parameter. (Russian. English summary) Zbl 0668.35069 Izv. Akad. Nauk Az. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1987, No. 2, 42-46 (1987). MSC: 35P05 35B30 35G15 PDFBibTeX XMLCite \textit{S. Ya. Yakubov}, Izv. Akad. Nauk Az. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1987, No. 2, 42--46 (1987; Zbl 0668.35069)
Wachspress, Eugene L. Editor’s introduction to “Automatic indexed calculation of Wachspress’ rational finite element functions” by G. R. Dalton. (English) Zbl 0585.65005 Comput. Math. Appl. 11, 621-623 (1985). Reviewer: H.P.Dikshit MSC: 65D05 65N30 41A05 41A63 PDFBibTeX XMLCite \textit{E. L. Wachspress}, Comput. Math. Appl. 11, 621--623 (1985; Zbl 0585.65005) Full Text: DOI
Simon, L. On approximation of the solutions of strongly nonlinear ellipic equations in unbounded domains. (English) Zbl 0618.35044 Stud. Sci. Math. Hung. 19, 421-430 (1984). MSC: 35J65 35A35 35B30 35J40 PDFBibTeX XMLCite \textit{L. Simon}, Stud. Sci. Math. Hung. 19, 421--430 (1984; Zbl 0618.35044)
Gustafson, Karl On the structure of finite element solenoidal subspaces. (English) Zbl 0598.76038 Constructive theory of functions, Proc. Int. Conf., Varna/Bulg. 1984, 382-391 (1984). MSC: 76D10 PDFBibTeX XML
Homentcovschi, Dorel Uniform asymptotic solutions of two-dimensional problems of elasticity for the domain exterior to a thin region. (English) Zbl 0528.73015 SIAM J. Appl. Math. 44, 1-10 (1984). MSC: 74B99 45M05 41A60 74S30 45F15 PDFBibTeX XMLCite \textit{D. Homentcovschi}, SIAM J. Appl. Math. 44, 1--10 (1984; Zbl 0528.73015) Full Text: DOI
Simon, Jacques C. H. A wave operator for a nonlinear Klein-Gordon equation. (English) Zbl 0539.35007 Lett. Math. Phys. 7, 387-398 (1983). MSC: 35B40 35Q99 35B30 PDFBibTeX XMLCite \textit{J. C. H. Simon}, Lett. Math. Phys. 7, 387--398 (1983; Zbl 0539.35007) Full Text: DOI
Struwe, Michael A note on a result of Ambrosetti and Mancini. (English) Zbl 0507.35032 Ann. Mat. Pura Appl., IV. Ser. 131, 107-115 (1982). MSC: 35J65 35B30 35A05 PDFBibTeX XMLCite \textit{M. Struwe}, Ann. Mat. Pura Appl. (4) 131, 107--115 (1982; Zbl 0507.35032) Full Text: DOI