Zheng, Chunxiong; Xie, Jiangming Fast artificial boundary method for the heat equation on unbounded domains with strip tails. (English) Zbl 07700234 J. Comput. Appl. Math. 425, Article ID 115032, 17 p. (2023). MSC: 65Mxx 65Nxx 35Jxx PDFBibTeX XMLCite \textit{C. Zheng} and \textit{J. Xie}, J. Comput. Appl. Math. 425, Article ID 115032, 17 p. (2023; Zbl 07700234) Full Text: DOI
Darvishi, H.; Kerayechian, A.; Gachpazan, M. Non-polynomial spectral-Galerkin method for time-fractional diffusion equation on unbounded domain. (English) Zbl 1496.65175 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 213, 22 p. (2022). MSC: 65M70 65M60 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{H. Darvishi} et al., Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 213, 22 p. (2022; Zbl 1496.65175) Full Text: DOI
Li, Guanfeng; Chen, Xueying Monotonicity of solutions for a class of uniformly elliptic nonlocal Bellman systems. (English) Zbl 1495.35058 Complex Var. Elliptic Equ. 67, No. 9, 2226-2244 (2022). MSC: 35B50 35R09 PDFBibTeX XMLCite \textit{G. Li} and \textit{X. Chen}, Complex Var. Elliptic Equ. 67, No. 9, 2226--2244 (2022; Zbl 1495.35058) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Reduced proper orthogonal decomposition spectral element method for the solution of 2D multi-term time fractional mixed diffusion and diffusion-wave equations in linear and nonlinear modes. (English) Zbl 1524.65681 Comput. Math. Appl. 117, 127-154 (2022). MSC: 65M70 65M06 35R11 65M12 65M60 26A33 65M99 65N35 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Comput. Math. Appl. 117, 127--154 (2022; Zbl 1524.65681) Full Text: DOI
Ren, Yiming; Feng, Hongsong; Zhao, Shan A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains. (English) Zbl 07516834 J. Comput. Phys. 448, Article ID 110762, 24 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{Y. Ren} et al., J. Comput. Phys. 448, Article ID 110762, 24 p. (2022; Zbl 07516834) Full Text: DOI
Mirzaee, Farshid; Samadyar, Nasrin Implicit meshless method to solve 2D fractional stochastic Tricomi-type equation defined on irregular domain occurring in fractal transonic flow. (English) Zbl 07776043 Numer. Methods Partial Differ. Equations 37, No. 2, 1781-1799 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{F. Mirzaee} and \textit{N. Samadyar}, Numer. Methods Partial Differ. Equations 37, No. 2, 1781--1799 (2021; Zbl 07776043) Full Text: DOI
Xia, Mingtao; Shao, Sihong; Chou, Tom A frequency-dependent \(p\)-adaptive technique for spectral methods. (English) Zbl 07516450 J. Comput. Phys. 446, Article ID 110627, 21 p. (2021). MSC: 65Mxx 65Nxx 35Qxx PDFBibTeX XMLCite \textit{M. Xia} et al., J. Comput. Phys. 446, Article ID 110627, 21 p. (2021; Zbl 07516450) Full Text: DOI arXiv
Liu, Qingxia; Zhuang, Pinghui; Liu, Fawang; Zheng, Minling; Chen, Shanzhen Radial point interpolation collocation method based approximation for 2D fractional equation models. (English) Zbl 1524.65667 Comput. Math. Appl. 97, 153-161 (2021). MSC: 65M70 35R11 65M06 65M12 74S40 26A33 65M15 33C45 PDFBibTeX XMLCite \textit{Q. Liu} et al., Comput. Math. Appl. 97, 153--161 (2021; Zbl 1524.65667) Full Text: DOI
Xu, Tao; Liu, Fawang; Lü, Shujuan; Anh, Vo V. Numerical approximation of 2D multi-term time and space fractional Bloch-Torrey equations involving the fractional Laplacian. (English) Zbl 1468.65117 J. Comput. Appl. Math. 393, Article ID 113519, 16 p. (2021). MSC: 65M06 65M60 26A33 35Q60 92C55 35Q92 35R11 PDFBibTeX XMLCite \textit{T. Xu} et al., J. Comput. Appl. Math. 393, Article ID 113519, 16 p. (2021; Zbl 1468.65117) Full Text: DOI
Ma, Lingwei; Zhang, Zhenqiu Monotonicity for fractional Laplacian systems in unbounded Lipschitz domains. (English) Zbl 1458.35457 Discrete Contin. Dyn. Syst. 41, No. 2, 537-552 (2021). MSC: 35R11 35B50 35J57 35J61 PDFBibTeX XMLCite \textit{L. Ma} and \textit{Z. Zhang}, Discrete Contin. Dyn. Syst. 41, No. 2, 537--552 (2021; Zbl 1458.35457) Full Text: DOI
Li, Fuzhi; Xu, Dongmei; She, Lianbing Large-domain stability of random attractors for stochastic \(g\)-Navier-Stokes equations with additive noise. (English) Zbl 1503.37080 J. Inequal. Appl. 2020, Paper No. 193, 24 p. (2020). MSC: 37L30 37L55 60H15 35Q30 76D05 76D07 35R60 PDFBibTeX XMLCite \textit{F. Li} et al., J. Inequal. Appl. 2020, Paper No. 193, 24 p. (2020; Zbl 1503.37080) Full Text: DOI
Li, Meng; Fei, Mingfa; Wang, Nan; Huang, Chengming A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains. (English) Zbl 1510.65246 Math. Comput. Simul. 177, 404-419 (2020). MSC: 65M60 35R11 PDFBibTeX XMLCite \textit{M. Li} et al., Math. Comput. Simul. 177, 404--419 (2020; Zbl 1510.65246) Full Text: DOI
Garotta, Fabrizio; Demo, Nicola; Tezzele, Marco; Carraturo, Massimo; Reali, Alessandro; Rozza, Gianluigi Reduced order isogeometric analysis approach for PDEs in parametrized domains. (English) Zbl 1455.62227 D’Elia, Marta (ed.) et al., Quantification of uncertainty: improving efficiency and technology. QUIET. Selected contributions based on the presentations at the international workshop, Trieste, Italy, July 18–21, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 137, 153-170 (2020). MSC: 62P35 62-08 65M75 35K05 PDFBibTeX XMLCite \textit{F. Garotta} et al., Lect. Notes Comput. Sci. Eng. 137, 153--170 (2020; Zbl 1455.62227) Full Text: DOI arXiv
Xu, Tao; Liu, Fawang; Lü, Shujuan; Anh, Vo V. Finite difference/finite element method for two-dimensional time-space fractional Bloch-Torrey equations with variable coefficients on irregular convex domains. (English) Zbl 1524.65424 Comput. Math. Appl. 80, No. 12, 3173-3192 (2020). MSC: 65M06 65M60 35R11 65M12 26A33 92C55 92C37 65N30 78A60 35Q92 35Q60 PDFBibTeX XMLCite \textit{T. Xu} et al., Comput. Math. Appl. 80, No. 12, 3173--3192 (2020; Zbl 1524.65424) Full Text: DOI
Church, Lewis; Djurdjevac, Ana; Elliott, Charles M. A domain mapping approach for elliptic equations posed on random bulk and surface domains. (English) Zbl 1452.65330 Numer. Math. 146, No. 1, 1-49 (2020). MSC: 65N30 65N12 65C05 35J25 35R60 PDFBibTeX XMLCite \textit{L. Church} et al., Numer. Math. 146, No. 1, 1--49 (2020; Zbl 1452.65330) Full Text: DOI arXiv
Gao, Xinghua; Liu, Fawang; Li, Hong; Liu, Yang; Turner, Ian; Yin, Baoli A novel finite element method for the distributed-order time fractional Cable equation in two dimensions. (English) Zbl 1447.65072 Comput. Math. Appl. 80, No. 5, 923-939 (2020). MSC: 65M60 65M06 65M12 35R11 26A33 92C20 35Q92 PDFBibTeX XMLCite \textit{X. Gao} et al., Comput. Math. Appl. 80, No. 5, 923--939 (2020; Zbl 1447.65072) Full Text: DOI
Ilati, Mohammad DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs. (English) Zbl 1447.65063 Comput. Math. Appl. 80, No. 5, 604-616 (2020). MSC: 65M32 65D15 65D07 35K20 PDFBibTeX XMLCite \textit{M. Ilati}, Comput. Math. Appl. 80, No. 5, 604--616 (2020; Zbl 1447.65063) Full Text: DOI
Ma, Lingwei; Zhang, Zhenqiu Monotonicity of positive solutions for fractional \(p\)-systems in unbounded Lipschitz domains. (English) Zbl 1443.35172 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111892, 17 p. (2020). MSC: 35R11 35B50 PDFBibTeX XMLCite \textit{L. Ma} and \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111892, 17 p. (2020; Zbl 1443.35172) Full Text: DOI
Feng, Libo; Liu, Fawang; Turner, Ian An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains. (English) Zbl 1524.65454 J. Comput. Appl. Math. 364, Article ID 112319, 18 p. (2020). MSC: 65M08 65M06 35R11 65M12 65M60 26A33 PDFBibTeX XMLCite \textit{L. Feng} et al., J. Comput. Appl. Math. 364, Article ID 112319, 18 p. (2020; Zbl 1524.65454) Full Text: DOI arXiv
Yang, Zongze; Nie, Yufeng; Yuan, Zhanbin; Wang, Jungang Finite element methods for fractional PDEs in three dimensions. (English) Zbl 1464.65132 Appl. Math. Lett. 100, Article ID 106041, 8 p. (2020). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{Z. Yang} et al., Appl. Math. Lett. 100, Article ID 106041, 8 p. (2020; Zbl 1464.65132) Full Text: DOI arXiv
Liu, Fawang; Feng, Libo; Anh, Vo; Li, Jing Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains. (English) Zbl 1442.65268 Comput. Math. Appl. 78, No. 5, 1637-1650 (2019). MSC: 65M60 65M12 35R11 82C70 PDFBibTeX XMLCite \textit{F. Liu} et al., Comput. Math. Appl. 78, No. 5, 1637--1650 (2019; Zbl 1442.65268) Full Text: DOI
Sayas, Francisco-Javier; Brown, Thomas S.; Hassell, Matthew E. Variational techniques for elliptic partial differential equations. Theoretical tools and advanced applications. (English) Zbl 1426.35110 Boca Raton, FL: CRC Press (ISBN 978-1-138-58088-6/hbk; 978-0-429-50706-9/ebook). xxii, 492 p. (2019). Reviewer: Giovanni Anello (Messina) MSC: 35J20 35J35 49J40 35-01 PDFBibTeX XMLCite \textit{F.-J. Sayas} et al., Variational techniques for elliptic partial differential equations. Theoretical tools and advanced applications. Boca Raton, FL: CRC Press (2019; Zbl 1426.35110) Full Text: DOI
Feng, Libo; Liu, Fawang; Turner, Ian; Yang, Qianqian; Zhuang, Pinghui Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains. (English) Zbl 1480.65253 Appl. Math. Modelling 59, 441-463 (2018). MSC: 65M60 35R11 65M06 PDFBibTeX XMLCite \textit{L. Feng} et al., Appl. Math. Modelling 59, 441--463 (2018; Zbl 1480.65253) Full Text: DOI Link
Xie, Liuliu; Huang, Xiaotao Symmetry result of solitary solutions of fractional Schrödinger equations in annular domains. (Chinese. English summary) Zbl 1438.35016 J. Nanjing Univ. Aeronaut. Astronaut. 50, No. 5, 722-726 (2018). MSC: 35B06 35Q55 35R11 PDFBibTeX XMLCite \textit{L. Xie} and \textit{X. Huang}, J. Nanjing Univ. Aeronaut. Astronaut. 50, No. 5, 722--726 (2018; Zbl 1438.35016) Full Text: DOI
Qin, Shanlin; Liu, Fawang; Turner, Ian W.; Yang, Qianqian; Yu, Qiang Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains. (English) Zbl 1418.65105 Comput. Math. Appl. 75, No. 1, 7-21 (2018). MSC: 65M06 65M12 35R11 35B35 PDFBibTeX XMLCite \textit{S. Qin} et al., Comput. Math. Appl. 75, No. 1, 7--21 (2018; Zbl 1418.65105) Full Text: DOI
Dölz, Jürgen; Harbrecht, Helmut Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. (English) Zbl 1415.65267 J. Comput. Phys. 371, 506-527 (2018). MSC: 65N38 35R60 35B20 65C20 PDFBibTeX XMLCite \textit{J. Dölz} and \textit{H. Harbrecht}, J. Comput. Phys. 371, 506--527 (2018; Zbl 1415.65267) Full Text: DOI Link
Shen, Zhongwei Periodic homogenization of elliptic systems. (English) Zbl 1409.35007 Operator Theory: Advances and Applications 269. Advances in Partial Differential Equations. Cham: Birkhäuser (ISBN 978-3-319-91213-4/hbk; 978-3-319-91214-1/ebook). ix, 291 p. (2018). Reviewer: Lutz Recke (Berlin) MSC: 35-02 35J47 74Qxx 35B27 35J57 35B65 35B45 35R05 35C20 PDFBibTeX XMLCite \textit{Z. Shen}, Periodic homogenization of elliptic systems. Cham: Birkhäuser (2018; Zbl 1409.35007) Full Text: DOI
Hackbusch, Wolfgang Theory and numerical analysis of elliptic differential equations. 4th revised edition. (Theorie und Numerik elliptischer Differentialgleichungen.) (German) Zbl 1360.65257 Heidelberg: Springer Spektrum (ISBN 978-3-658-15357-1/pbk; 978-3-658-15358-8/ebook). xiii, 400 p. (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Nxx 65-01 35-01 35Jxx 76D07 PDFBibTeX XMLCite \textit{W. Hackbusch}, Theorie und Numerik elliptischer Differentialgleichungen. 4th revised edition. Heidelberg: Springer Spektrum (2017; Zbl 1360.65257) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods. (English) Zbl 1403.65068 Eng. Anal. Bound. Elem. 64, 205-221 (2016). MSC: 65M60 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 64, 205--221 (2016; Zbl 1403.65068) Full Text: DOI
Cabarrubias, Bituin Homogenization of optimal control problems in perforated domains via periodic unfolding method. (English) Zbl 1351.49006 Appl. Anal. 95, No. 11, 2517-2534 (2016). MSC: 49J20 35B27 35J25 35Q93 35Q91 PDFBibTeX XMLCite \textit{B. Cabarrubias}, Appl. Anal. 95, No. 11, 2517--2534 (2016; Zbl 1351.49006) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations. (English) Zbl 1403.65082 Eng. Anal. Bound. Elem. 50, 412-434 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 50, 412--434 (2015; Zbl 1403.65082) Full Text: DOI
Papadopoulos, P.; Matiadou, N. L.; Pappas, A. Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on \(\mathbb{R}^N\). (English) Zbl 1326.35206 Int. J. Nonlinear Anal. Appl. 6, No. 1, 85-95 (2015). MSC: 35L72 35B30 35B40 35B45 35L15 35L80 47F05 47H20 35R09 35B44 PDFBibTeX XMLCite \textit{P. Papadopoulos} et al., Int. J. Nonlinear Anal. Appl. 6, No. 1, 85--95 (2015; Zbl 1326.35206) Full Text: Link
Tanaka, Kazuaki; Takayasu, Akitoshi; Liu, Xuefeng; Oishi, Shin’ichi Verified norm estimation for the inverse of linear elliptic operators using eigenvalue evaluation. (English) Zbl 1335.65090 Japan J. Ind. Appl. Math. 31, No. 3, 665-679 (2014). MSC: 65N25 65N30 35J25 35P15 47F05 47A05 PDFBibTeX XMLCite \textit{K. Tanaka} et al., Japan J. Ind. Appl. Math. 31, No. 3, 665--679 (2014; Zbl 1335.65090) Full Text: DOI
Gordon, Andrew; Powell, Catherine E. A preconditioner for fictitious domain formulations of elliptic PDEs on uncertain parameterized domains. (English) Zbl 1307.65010 SIAM/ASA J. Uncertain. Quantif. 2, 622-646 (2014). MSC: 65C30 60H15 60H35 35R60 65N85 65F08 65N30 65N55 PDFBibTeX XMLCite \textit{A. Gordon} and \textit{C. E. Powell}, SIAM/ASA J. Uncertain. Quantif. 2, 622--646 (2014; Zbl 1307.65010) Full Text: DOI Link
Papadopoulos, Perikles; Matiadou, Niki-Lina; Fatouros, Stavros Global existence and blow-up results for an hyperbolic problem on \(\mathbb R^{N}\). (English) Zbl 1292.35032 Appl. Anal. 93, No. 3, 475-489 (2014). MSC: 35B30 35B40 35L15 35L80 47H20 35L72 35R09 35B44 PDFBibTeX XMLCite \textit{P. Papadopoulos} et al., Appl. Anal. 93, No. 3, 475--489 (2014; Zbl 1292.35032) Full Text: DOI
Arendt, W.; ter Elst, A. F. M.; Kennedy, J. B. Analytical aspects of isospectral drums. (English) Zbl 1327.58032 Oper. Matrices 8, No. 1, 255-277 (2014). Reviewer: Emily Dryden (Lewisburg, PA) MSC: 58J53 35P05 47F05 35R30 PDFBibTeX XMLCite \textit{W. Arendt} et al., Oper. Matrices 8, No. 1, 255--277 (2014; Zbl 1327.58032) Full Text: DOI arXiv Link
Brzeźniak, Z.; Caraballo, T.; Langa, J. A.; Li, Y.; Łukaszewicz, G.; Real, J. Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains. (English) Zbl 1283.35075 J. Differ. Equations 255, No. 11, 3897-3919 (2013). MSC: 35Q35 35B41 35R60 37C70 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., J. Differ. Equations 255, No. 11, 3897--3919 (2013; Zbl 1283.35075) Full Text: DOI arXiv
Koç, Ayşe Betül; Kurnaz, Aydın A new kind of double Chebyshev polynomial approximation on unbounded domains. (English) Zbl 1279.35002 Bound. Value Probl. 2013, Paper No. 10, 13 p. (2013). MSC: 35A25 PDFBibTeX XMLCite \textit{A. B. Koç} and \textit{A. Kurnaz}, Bound. Value Probl. 2013, Paper No. 10, 13 p. (2013; Zbl 1279.35002) Full Text: DOI
Huang, Xiaotao; Li, Dongsheng; Wang, Lihe Symmetry of integral equation systems with Bessel kernel on bounded domains. (English) Zbl 1210.45007 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 2, 494-500 (2011). Reviewer: Abdelaziz Rhandi (Salerno) MSC: 45G15 45K05 45P05 35J67 45M20 PDFBibTeX XMLCite \textit{X. Huang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 2, 494--500 (2011; Zbl 1210.45007) Full Text: DOI
Harbrecht, H. Finite element based second moment analysis for elliptic problems in stochastic domains. (English) Zbl 1216.65008 Kreiss, Gunilla (ed.) et al., Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29–July 3, 2009. Berlin: Springer (ISBN 978-3-642-11794-7/hbk; 978-3-642-11795-4/ebook). 433-441 (2010). MSC: 65C30 35J25 35R60 60H15 60H35 65Y20 65N30 PDFBibTeX XMLCite \textit{H. Harbrecht}, in: Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29--July 3, 2009. Berlin: Springer. 433--441 (2010; Zbl 1216.65008) Full Text: DOI
Medková, Dagmar The integral equation method and the Neumann problem for the Poisson equation on NTA domains. (English) Zbl 1179.31004 Integral Equations Oper. Theory 63, No. 2, 227-247 (2009). Reviewer: Sirkka-Liisa Eriksson (Tampere) MSC: 31B10 35J05 35J25 65N99 PDFBibTeX XMLCite \textit{D. Medková}, Integral Equations Oper. Theory 63, No. 2, 227--247 (2009; Zbl 1179.31004) Full Text: DOI
Wen, Guo Chun Elliptic, hyperbolic and mixed complex equations with parabolic degeneracy. Including Tricomi-Bers and Tricomi-Frankl-Rassias problems. (English) Zbl 1151.35001 Peking University Series in Mathematics 4. Hackensack, NJ: World Scientific (ISBN 978-981-277-942-7/hbk). xiii, 439 p. (2008). Reviewer: Elena Gavrilova (Sofia) MSC: 35-02 35M10 35B65 30E25 35Lxx PDFBibTeX XMLCite \textit{G. C. Wen}, Elliptic, hyperbolic and mixed complex equations with parabolic degeneracy. Including Tricomi-Bers and Tricomi-Frankl-Rassias problems. Hackensack, NJ: World Scientific (2008; Zbl 1151.35001)
Canuto, Claudio; Kozubek, Tomas A fictitious domain approach to the numerical solution of PDEs in stochastic domains. (English) Zbl 1126.65004 Numer. Math. 107, No. 2, 257-293 (2007). Reviewer: Henri Schurz (Carbondale) MSC: 65C30 65N12 60H15 60H30 65N30 65N35 60H35 35J05 35R60 PDFBibTeX XMLCite \textit{C. Canuto} and \textit{T. Kozubek}, Numer. Math. 107, No. 2, 257--293 (2007; Zbl 1126.65004) Full Text: DOI
Domoshnitsky, A.; Drakhlin, M.; Stavroulakis, I. P. Distribution of zeros of solutions to functional equations. (English) Zbl 1090.39007 Math. Comput. Modelling 42, No. 1-2, 193-205 (2005). Reviewer: J. Banaś (Rzeszów) MSC: 39A11 39B52 35R10 PDFBibTeX XMLCite \textit{A. Domoshnitsky} et al., Math. Comput. Modelling 42, No. 1--2, 193--205 (2005; Zbl 1090.39007) Full Text: DOI
Guo, Benyu Some developments in spectral methods for nonlinear partial differential equations in unbounded domains. (English) Zbl 1019.65080 Gu, Chaohao (ed.) et al., Differential geometry and related topics. Proceedings of the international conference on modern mathematics and the international symposium on differential geometry, Shanghai, China, September 19-23, 2001. In honor of Professor Su Buchin on the centenary of his birth. Singapore: World Scientific. 68-90 (2002). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{B. Guo}, in: Differential geometry and related topics. Proceedings of the international conference on modern mathematics and the international symposium on differential geometry, Shanghai, China, September 19--23, 2001. In honor of Professor Su Buchin on the centenary of his birth. Singapore: World Scientific. 68--90 (2002; Zbl 1019.65080)
Bonaccorsi, S.; Guatteri, G. Stochastic partial differential equations in bounded domains with Dirichlet boundary conditions. (English) Zbl 1015.60055 Stochastics Stochastics Rep. 74, No. 1-2, 349-370 (2002). Reviewer: Tomasz Bojdecki (Warszawa) MSC: 60H15 35K20 47F05 PDFBibTeX XMLCite \textit{S. Bonaccorsi} and \textit{G. Guatteri}, Stochastics Stochastics Rep. 74, No. 1--2, 349--370 (2002; Zbl 1015.60055) Full Text: DOI
Poláčik, P. Parabolic equations: Asymptotic behavior and dynamics on invariant manifolds. (English) Zbl 1002.35001 Fiedler, Bernold (ed.), Handbook of dynamical systems. Volume 2. Amsterdam: Elsevier. 835-883 (2002). Reviewer: Jan Cholewa (Katowice) MSC: 35-02 35B40 35K90 35B41 35B05 37L25 37K60 PDFBibTeX XMLCite \textit{P. Poláčik}, in: Handbook of dynamical systems. Volume 2. Amsterdam: Elsevier. 835--883 (2002; Zbl 1002.35001)
Vogt, Andreas Analytic and numerical investigation of direct and inverse boundary value problems in domains with edges by means of integral equation methods. (Analytische und numerische Untersuchung von direkten und inversen Randwertproblemen in Gebieten mit Ecken mittels Integralgleichungsmethoden.) (German) Zbl 1142.35630 Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultät. 127 S. (2001). MSC: 35R30 35J05 65N99 PDFBibTeX XMLCite \textit{A. Vogt}, Analytische und numerische Untersuchung von direkten und inversen Randwertproblemen in Gebieten mit Ecken mittels Integralgleichungsmethoden. Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultät (2001; Zbl 1142.35630) Full Text: Link
Vasil’ev, V. B. Wave factorization of elliptic symbols: theory and applications. Introduction to the theory of boundary value problems in non-smooth domains. (English) Zbl 0961.35193 Dordrecht: Kluwer Academic Publishers. ix, 176 p. (2000). Reviewer: Vladimir S.Rabinovich (Mexico) MSC: 35S15 35J40 35-02 PDFBibTeX XMLCite \textit{V. B. Vasil'ev}, Wave factorization of elliptic symbols: theory and applications. Introduction to the theory of boundary value problems in non-smooth domains. Dordrecht: Kluwer Academic Publishers (2000; Zbl 0961.35193)
Nkemzi, Boniface; Heinrich, Bernd Partial Fourier approximation of the Lamé equations in axisymmetric domains. (English) Zbl 0932.65117 Math. Methods Appl. Sci. 22, No. 12, 1017-1041 (1999). Reviewer: W.Heinrichs (Essen) MSC: 65N35 65N30 65N15 35Q53 PDFBibTeX XMLCite \textit{B. Nkemzi} and \textit{B. Heinrich}, Math. Methods Appl. Sci. 22, No. 12, 1017--1041 (1999; Zbl 0932.65117) Full Text: DOI
El-Daou, M. K.; Ortiz, E. L. A recursive formulation of Galerkin’s method in terms of the tau method: Bounded and unbounded domains. (English) Zbl 0999.65043 Comput. Math. Appl. 35, No. 12, 83-94 (1998). MSC: 65J10 35G30 65N30 47A50 34B15 65L60 PDFBibTeX XMLCite \textit{M. K. El-Daou} and \textit{E. L. Ortiz}, Comput. Math. Appl. 35, No. 12, 83--94 (1998; Zbl 0999.65043) Full Text: DOI
Kuzin, I.; Pohozaev, S. Entire solutions of semilinear elliptic equations. (English) Zbl 0882.35003 Progress in Nonlinear Differential Equations and their Applications. 33. Basel: Birkhäuser. vi, 250 p. (1997). Reviewer: R.Beyerstedt (Aachen) MSC: 35-02 35J60 PDFBibTeX XMLCite \textit{I. Kuzin} and \textit{S. Pohozaev}, Entire solutions of semilinear elliptic equations. Basel: Birkhäuser (1997; Zbl 0882.35003)
Drábek, Pavel; Kufner, Alois; Nicolosi, Francesco Quasilinear elliptic equations with degenerations and singularities. (English) Zbl 0894.35002 de Gruyter Series in Nonlinear Analysis and Applications. 5. Berlin: Walter de Gruyter. xii, 219 p. (1997). Reviewer: J.Appell (Würzburg) MSC: 35-02 35J70 47H99 35J65 PDFBibTeX XMLCite \textit{P. Drábek} et al., Quasilinear elliptic equations with degenerations and singularities. Berlin: Walter de Gruyter (1997; Zbl 0894.35002)
Osmolovskii, V. G. Linear and nonlinear perturbations of the operator div. Transl. from the Russian by T. Rozhkovskaya. (English) Zbl 0884.35002 Translations of Mathematical Monographs. 160. Providence, RI: American Mathematical Society (AMS). xiii, 104 p. (1997). Reviewer: R.Picard (Dresden) MSC: 35-02 35F15 35F30 35Q35 47A05 35Q72 PDFBibTeX XMLCite \textit{V. G. Osmolovskii}, Linear and nonlinear perturbations of the operator div. Transl. from the Russian by T. Rozhkovskaya. Providence, RI: American Mathematical Society (1997; Zbl 0884.35002)
Witt, Ingo Non-linear hyperbolic equations in domains with conical points. Existence and regularity of solutions. (English) Zbl 0835.35002 Mathematical Research. 84. Berlin: Akademie Verlag. 230 p. (1995). Reviewer: N.E.Ratanov (Chelyabinsk) MSC: 35-02 35L70 PDFBibTeX XMLCite \textit{I. Witt}, Non-linear hyperbolic equations in domains with conical points. Existence and regularity of solutions. Berlin: Akademie Verlag (1995; Zbl 0835.35002)
Bonnet Ben Dhia, Anne-Sophie; Powell, Blaise A method for solving some problems set in a non-compactly perturbed half plane. (English) Zbl 0869.35008 Cohen, Gary (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the third international conference, Mandelieu-La Napoule, France, April 24–28, 1995. Philadelphia, PA: Society for Industrial and Applied Mathematics. 536-543 (1995). MSC: 65M99 65N99 35J05 PDFBibTeX XMLCite \textit{A.-S. Bonnet Ben Dhia} and \textit{B. Powell}, in: Mathematical and numerical aspects of wave propagation. Proceedings of the third international conference, Mandelieu-La Napoule, France, April 24--28, 1995. Philadelphia, PA: Society for Industrial and Applied Mathematics. 536--543 (1995; Zbl 0869.35008)
Dal Maso, Gianni; Garroni, Adriana New results on the asymptotic behavior of Dirichlet problems in perforated domains. (English) Zbl 0804.47050 Math. Models Methods Appl. Sci. 4, No. 3, 373-407 (1994). MSC: 47F05 46E35 35J25 PDFBibTeX XMLCite \textit{G. Dal Maso} and \textit{A. Garroni}, Math. Models Methods Appl. Sci. 4, No. 3, 373--407 (1994; Zbl 0804.47050) Full Text: DOI
Varnhorn, Werner The Stokes equations. (English) Zbl 0813.35085 Mathematical Research. 76. Berlin: Akademie Verlag. 154 p. (1994). Reviewer: K.Deckelnick (Freiburg i.Br.) MSC: 35Q30 35-02 65M06 PDFBibTeX XMLCite \textit{W. Varnhorn}, The Stokes equations. Berlin: Akademie Verlag (1994; Zbl 0813.35085)
Itô, Seizô Diffusion equations. Transl. from the Jap. by Seizô Itô. (English) Zbl 0787.35001 Translations of Mathematical Monographs. 114. Providence, RI: American Mathematical Society (AMS). x, 225 p. (1992). Reviewer: J.E.Bouillet (Buenos Aires) MSC: 35-01 35K20 35A08 35K10 35C10 35J15 35B30 35B50 35C15 PDFBibTeX XMLCite \textit{S. Itô}, Diffusion equations. Transl. from the Jap. by Seizô Itô. Providence, RI: American Mathematical Society (1992; Zbl 0787.35001)
Huang, Yunqing; Lin, Qun Elliptic boundary value problems on polygonal domains and finite element approximations. (Chinese. English summary) Zbl 0794.35038 J. Syst. Sci. Math. Sci. 12, No. 3, 263-268 (1992). MSC: 35J25 65M60 35B45 65M99 65N99 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{Q. Lin}, J. Syst. Sci. Math. Sci. 12, No. 3, 263--268 (1992; Zbl 0794.35038)
Poznyak, L. T. A partial truncation procedure in the partial domain method for computing the eigenvalues of the two-dimensional Laplace operator. (English. Russian original) Zbl 0785.65100 Comput. Math. Math. Phys. 31, No. 11, 24-36 (1991); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 11, 1638-1654 (1991). MSC: 65N25 35P15 PDFBibTeX XMLCite \textit{L. T. Poznyak}, Comput. Math. Math. Phys. 31, No. 11, 24--36 (1991; Zbl 0785.65100); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 11, 1638--1654 (1991)
Poznyak, L. T. On the process of partial truncation in the method of partial domains for calculation of the eigenvalues of the two-dimensional Laplace operator. (Russian) Zbl 0778.65077 Zh. Vychisl. Mat. Mat. Fiz. 31, No. 11, 1638-1654 (1991). Reviewer: N.Vulchanov (Gabrovo) MSC: 65N25 35P15 PDFBibTeX XMLCite \textit{L. T. Poznyak}, Zh. Vychisl. Mat. Mat. Fiz. 31, No. 11, 1638--1654 (1991; Zbl 0778.65077)
Kokovikhina, O. V. On an approximate method for solution of the problem on eigenvalues of the wave operator in axially symmetric domains of complicated form. (Russian) Zbl 0801.47034 Sidorov, A. F. (ed.), Numerical and analytical methods of modelling in continuum mechanics. Collection of scientific works. Sverdlovsk: Ural’skoe Otdelenie AN SSSR, 26-30 (1989). MSC: 47F05 65M60 35J05 PDFBibTeX XMLCite \textit{O. V. Kokovikhina}, in: Chislennye i analiticheskie metody modelirovaniya v mekhanike sploshnoj sredy. Sbornik nauchnykh trudov. Sverdlovsk: Ural'skoe Otdelenie AN SSSR. 26--30 (1989; Zbl 0801.47034)
Allaire, Grégoire Homogénéisation des équations de Stokes dans un domaine perforé de petits trous répartis périodiquement. (Homogenization of Stokes equations in open sets perforated with tiny holes). (French) Zbl 0696.73010 C. R. Acad. Sci., Paris, Sér. I 309, No. 11, 741-746 (1989). Reviewer: M.Codegone MSC: 74E05 35B40 35Q99 76D05 PDFBibTeX XMLCite \textit{G. Allaire}, C. R. Acad. Sci., Paris, Sér. I 309, No. 11, 741--746 (1989; Zbl 0696.73010)
Poznyak, L. T. On connection between the method of partial domains and the Weinstein method. (Russian) Zbl 0729.65079 Numerical and applied mathematics, Interuniv. Sci. Collect., Ufa, 84-96 (1988). MSC: 65N25 65N12 49R50 35P15 PDFBibTeX XML
Serrano, Sergio E.; Unny, T. E. Boundary element solution of the two-dimensional groundwater flow equation with stochastic free surface boundary condition. (English) Zbl 0692.76086 Numer. Methods Partial Differ. Equations 2, 237-258 (1986). MSC: 76S05 35Q99 35R60 60H15 PDFBibTeX XMLCite \textit{S. E. Serrano} and \textit{T. E. Unny}, Numer. Methods Partial Differ. Equations 2, 237--258 (1986; Zbl 0692.76086) Full Text: DOI
Demkowicz, L.; Oden, J. T. An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in two space variables. (English) Zbl 0602.76097 Comput. Methods Appl. Mech. Eng. 55, 63-87 (1986). MSC: 76R50 65M99 65N99 76M99 65N15 35K05 PDFBibTeX XMLCite \textit{L. Demkowicz} and \textit{J. T. Oden}, Comput. Methods Appl. Mech. Eng. 55, 63--87 (1986; Zbl 0602.76097) Full Text: DOI
Han, Houde The mixed finite element method for Stokes equations on unbounded domains. (English) Zbl 0659.65120 Differential geometry and differential equations, Proc. Symp., Beijing/China 1984, 206-211 (1985). MSC: 65Z05 65N15 65N30 76D07 35Q99 PDFBibTeX XML
Pilant, Michael The Neumann problem for an equation of Lavrent’ev-Bitsadze type. (English) Zbl 0579.35060 J. Math. Anal. Appl. 106, 321-359 (1985). Reviewer: A.Müller-Rettkowski MSC: 35M99 35R45 35F15 35D05 PDFBibTeX XMLCite \textit{M. Pilant}, J. Math. Anal. Appl. 106, 321--359 (1985; Zbl 0579.35060) Full Text: DOI
Dobrowolski, Manfred On finite element methods for nonlinear elliptic problems on domains with corners. (English) Zbl 0564.65072 Singularities and constructive methods for their treatment, Proc. Conf., Oberwolfach 1983, Lect. Notes Math. 1121, 85-103 (1985). Reviewer: Ll.G.Chambers MSC: 65N30 65K10 35J65 49J20 65N15 PDFBibTeX XML
Vojtsekhovskij, S. A.; Gavrilyuk, I. P.; Makarov, V. L. On the method of fictitious domains for the solution of problems of mathematical physics in domains of complicated form and its realization. II. (Russian) Zbl 0557.65081 Vychisl. Prikl. Mat., Kiev 52, 3-10 (1984). MSC: 65Z05 35Q99 65N50 PDFBibTeX XMLCite \textit{S. A. Vojtsekhovskij} et al., Vychisl. Prikl. Mat. 52, 3--10 (1984; Zbl 0557.65081)
Vojtsekhovskij, S. A.; Gavrilyuk, I. P.; Makarov, V. L. The method of ficticious domains applied to problems of mathematical physics in complicatedly shaped regions and their realization. (Russian) Zbl 0628.65084 Vychisl. Prikl. Mat., Kiev 51, 23-34 (1983). MSC: 65N06 65-02 65N12 35Q99 PDFBibTeX XMLCite \textit{S. A. Vojtsekhovskij} et al., Vychisl. Prikl. Mat. 51, 23--34 (1983; Zbl 0628.65084)
Gasanov, M. I. Solution of the mixed boundary value problem by the Fourier method for generalized systems of telegraph equations with a nonlinear part in infinite domains. (Russian) Zbl 0585.35068 Investigations in some questions of the constructive theory of functions and differential equations, Thematic Collect. sci. Works, Baku 1983, 194-199 (1983). Reviewer: O.Zhautykov MSC: 35M99 35A22 35D05 PDFBibTeX XML
Erzhanov, Zh. S.; Karimbaev, T. D.; Bajteliev, T. B. Two-dimensional stress waves in homogeneous and structural nonhomogeneous media (Dvumernye volny napryazhenij v odnorodnykh i strukturno- neodnorodnykh sredakh). (Russian) Zbl 0575.73038 Alma-Ata: Izdatel’stvo “Nauka” Kazakhskoj SSR. 172 p. R. 1.80 (1983). Reviewer: W.R.Bielski MSC: 74J99 74E05 65M25 74S99 74-02 35L05 PDFBibTeX XML
Lebedev, V. I.; Agoshkov, V. I. Poincaré-Steklov operators and their applications in analysis. (Operatory Puankare-Steklova i ikh prilozheniya v analize). (Russian) Zbl 0547.47029 Moskva: Otdel Vychislitel’noj Matematiki AN SSSR. 184 p. R. 1.10 (1983). Reviewer: Annotation MSC: 47F05 47A70 35J25 47-02 82C70 65N99 35-02 65-02 PDFBibTeX XML
Vabishchevich, P. N. On the solution of the free-boundary problem for elliptic equations. (English) Zbl 0529.65071 U.S.S.R. Comput. Math. Math. Phys. 22, No. 5, 89-98 (1982). MSC: 65N99 35R35 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, U.S.S.R. Comput. Math. Math. Phys. 22, No. 5, 89--98 (1982; Zbl 0529.65071) Full Text: DOI
Vabishchevich, P. N. On solving a problem with free boundary for elliptic equations. (Russian) Zbl 0518.65085 Zh. Vychisl. Mat. Mat. Fiz. 22, No. 5, 1109-1117 (1982). MSC: 65N99 35R35 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Zh. Vychisl. Mat. Mat. Fiz. 22, 1109--1117 (1982; Zbl 0518.65085)
Saul’ev, V. K.; Yasnov, A. E. On a universal program for the solution of three-dimensional boundary value problems. (Russian) Zbl 0536.65088 Mathematical questions of production control, Collect. Artic., Moskva 1981, 41-49 (1981). Reviewer: P.Polcar MSC: 65N99 35J05 PDFBibTeX XML
Lomov, S. A. Introduction to the general theory of singular perturbations. (Введение в общую теорию сингулярных возмущений.) (Russian) Zbl 0514.34049 Moskva: “Nauka”. 400 p. (1981). MSC: 34E15 34-01 35B25 34G20 PDFBibTeX XML
Lyashko, I. I.; Makarov, V. L.; Shmanenko, T. L. Algorithmic aspects of the method of sum representations. (Russian) Zbl 0444.65072 Ukr. Mat. Zh. 32, 515-522 (1980). MSC: 65N22 35Q99 65Z05 PDFBibTeX XMLCite \textit{I. I. Lyashko} et al., Ukr. Mat. Zh. 32, 515--522 (1980; Zbl 0444.65072) Full Text: DOI
Poznyak, L. T. A method of estimating lower bounds for eigenvalues of differential operators by the method of fictitious domains. (English) Zbl 0444.35062 U.S.S.R. Comput. Math. Math. Phys. 19, No. 4, 132-148 (1980). MSC: 35P15 35R20 65N25 35J15 PDFBibTeX XMLCite \textit{L. T. Poznyak}, U.S.S.R. Comput. Math. Math. Phys. 19, No. 4, 132--148 (1980; Zbl 0444.35062) Full Text: DOI
Kalashnikov, A. S. Über die Gleichung der Wärmeleitung mit Fernwirkung. (Russian) Zbl 0416.35034 Differ. Uravn. 15, 1653-1660 (1979). MSC: 35K05 80A05 80A20 74A99 39B52 35A05 PDFBibTeX XMLCite \textit{A. S. Kalashnikov}, Differ. Uravn. 15, 1653--1660 (1979; Zbl 0416.35034)
Swanson, C. A. Semilinear second order elliptic oscillation. (English) Zbl 0412.35008 Can. Math. Bull. 22, 139-157 (1979). MSC: 35B05 35J99 PDFBibTeX XMLCite \textit{C. A. Swanson}, Can. Math. Bull. 22, 139--157 (1979; Zbl 0412.35008) Full Text: DOI
Papamichael, N.; Sideridis, A. The use of conformal transformations for the numerical solution of elliptic boundary value problems with boundary singularities. (English) Zbl 0408.65016 J. Inst. Math. Appl. 23, 73-88 (1979). MSC: 65E05 31A25 35J25 30C20 30C40 65N99 PDFBibTeX XMLCite \textit{N. Papamichael} and \textit{A. Sideridis}, J. Inst. Math. Appl. 23, 73--88 (1979; Zbl 0408.65016) Full Text: DOI