Baccouch, Mahboub; Temimi, Helmi A high-order space-time ultra-weak discontinuous Galerkin method for the second-order wave equation in one space dimension. (English) Zbl 07309600 J. Comput. Appl. Math. 389, Article ID 113331, 21 p. (2021). MSC: 65M60 65N30 65M22 65M15 65M50 65N50 35L10 PDF BibTeX XML Cite \textit{M. Baccouch} and \textit{H. Temimi}, J. Comput. Appl. Math. 389, Article ID 113331, 21 p. (2021; Zbl 07309600) Full Text: DOI
Huang, Weizhang; Kamenski, Lennard; Lang, Jens Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes. (English) Zbl 07305180 J. Comput. Appl. Math. 387, Article ID 112497, 18 p. (2021). MSC: 65M60 65M06 65L06 65N30 65M50 65F08 65F10 65F35 65F15 35K10 PDF BibTeX XML Cite \textit{W. Huang} et al., J. Comput. Appl. Math. 387, Article ID 112497, 18 p. (2021; Zbl 07305180) Full Text: DOI
Li, Yuwen Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors. (English) Zbl 07298447 Math. Comput. 90, No. 328, 565-593 (2021). MSC: 65N30 65N50 65N12 65N15 41A25 58A12 PDF BibTeX XML Cite \textit{Y. Li}, Math. Comput. 90, No. 328, 565--593 (2021; Zbl 07298447) Full Text: DOI
Peng, Jie; Shu, Shi; Wang, Junxian; Zhong, Liuqiang Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems. (English) Zbl 1446.65178 J. Comput. Appl. Math. 381, Article ID 113011, 21 p. (2021). MSC: 65N30 65F10 65N55 65N50 35J05 35J20 PDF BibTeX XML Cite \textit{J. Peng} et al., J. Comput. Appl. Math. 381, Article ID 113011, 21 p. (2021; Zbl 1446.65178) Full Text: DOI
Chaouqui, Faycal; Gander, Martin J.; Santugini-Repiquet, Kévin A continuous analysis of Neumann-Neumann methods: scalability and new coarse spaces. (English) Zbl 07303423 SIAM J. Sci. Comput. 42, No. 6, A3785-A3811 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65N50 65N35 65N12 65F08 65F10 65F50 35J05 PDF BibTeX XML Cite \textit{F. Chaouqui} et al., SIAM J. Sci. Comput. 42, No. 6, A3785--A3811 (2020; Zbl 07303423) Full Text: DOI
Yu, Fei; Guo, Zhenlin; Lowengrub, John Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries. (English) Zbl 1453.65306 J. Comput. Phys. 406, Article ID 109174, 34 p. (2020). MSC: 65M55 65N55 65M50 65N50 35J05 92C35 PDF BibTeX XML Cite \textit{F. Yu} et al., J. Comput. Phys. 406, Article ID 109174, 34 p. (2020; Zbl 1453.65306) Full Text: DOI
Scullard, Christian R.; Hickok, Abigail; Sotiris, Justyna O.; Tzolova, Bilyana M.; Van Heyningen, R. Loek; Graziani, Frank R. Adaptive spectral solution method for the Landau and Lenard-Balescu equations. (English) Zbl 1453.65363 J. Comput. Phys. 402, Article ID 109110, 17 p. (2020). MSC: 65M70 65M50 35R09 65Z05 PDF BibTeX XML Cite \textit{C. R. Scullard} et al., J. Comput. Phys. 402, Article ID 109110, 17 p. (2020; Zbl 1453.65363) Full Text: DOI
Liu, Li-Bin; Liang, Ying; Zhang, Jian; Bao, Xiaobing A robust adaptive grid method for singularly perturbed Burger-Huxley equations. (English) Zbl 07300751 Electron Res. Arch. 28, No. 4, 1439-1457 (2020). MSC: 65M06 65M12 65M50 65H10 35Q53 PDF BibTeX XML Cite \textit{L.-B. Liu} et al., Electron Res. Arch. 28, No. 4, 1439--1457 (2020; Zbl 07300751) Full Text: DOI
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. (English) Zbl 1451.65197 Comput. Methods Appl. Math. 20, No. 4, 643-676 (2020). MSC: 65N30 65N15 65N50 35R06 35J20 35J61 49M29 65J15 PDF BibTeX XML Cite \textit{J. Kraus} et al., Comput. Methods Appl. Math. 20, No. 4, 643--676 (2020; Zbl 1451.65197) Full Text: DOI
Seibel, Daniel; Weißer, Steffen Recovery-based error estimators for the VEM and BEM-based FEM. (English) Zbl 07276328 Comput. Math. Appl. 80, No. 9, 2073-2089 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N38 65N50 65N15 65N12 PDF BibTeX XML Cite \textit{D. Seibel} and \textit{S. Weißer}, Comput. Math. Appl. 80, No. 9, 2073--2089 (2020; Zbl 07276328) Full Text: DOI
Qiu, Weifeng; Zhang, Shun Adaptive first-order system least-squares finite element methods for second-order elliptic equations in nondivergence form. (English) Zbl 1452.65355 SIAM J. Numer. Anal. 58, No. 6, 3286-3308 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{W. Qiu} and \textit{S. Zhang}, SIAM J. Numer. Anal. 58, No. 6, 3286--3308 (2020; Zbl 1452.65355) Full Text: DOI
Zhang, Min; Huang, Weizhang; Qiu, Jianxian High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer. (English) Zbl 07271888 SIAM J. Sci. Comput. 42, No. 5, A3109-A3135 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M60 65M50 65D05 35R09 45J05 85A25 PDF BibTeX XML Cite \textit{M. Zhang} et al., SIAM J. Sci. Comput. 42, No. 5, A3109--A3135 (2020; Zbl 07271888) Full Text: DOI
Zhang, Jin; Liu, Xiaowei Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes. (English) Zbl 1451.65208 J. Sci. Comput. 85, No. 1, Paper No. 2, 13 p. (2020). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N30 65N50 65N12 35B25 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{X. Liu}, J. Sci. Comput. 85, No. 1, Paper No. 2, 13 p. (2020; Zbl 1451.65208) Full Text: DOI
Gavrilyuk, I. P.; Makarov, V. L. Method of fictitious domains and homotopy as a new alternative to multidimensional partial differential equations in domains of any shape. (English. Ukrainian original) Zbl 1453.65434 Ukr. Math. J. 72, No. 2, 211-231 (2020); translation from Ukr. Mat. Zh. 72, No. 2, 191-208 (2020). Reviewer: Mohammed Kaabar (Gelugor) MSC: 65N99 65N85 65N50 65N12 PDF BibTeX XML Cite \textit{I. P. Gavrilyuk} and \textit{V. L. Makarov}, Ukr. Math. J. 72, No. 2, 211--231 (2020; Zbl 1453.65434); translation from Ukr. Mat. Zh. 72, No. 2, 191--208 (2020) Full Text: DOI
Kopteva, Natalia Lower a posteriori error estimates on anisotropic meshes. (English) Zbl 1452.65346 Numer. Math. 146, No. 1, 159-179 (2020). MSC: 65N30 65N15 65N50 35J05 PDF BibTeX XML Cite \textit{N. Kopteva}, Numer. Math. 146, No. 1, 159--179 (2020; Zbl 1452.65346) Full Text: DOI
Li, Hengguang; Lu, Xun Condition numbers of finite element methods on a class of anisotropic meshes. (English) Zbl 1448.35116 Appl. Numer. Math. 158, 22-43 (2020). MSC: 35J05 35J25 65N30 65N50 PDF BibTeX XML Cite \textit{H. Li} and \textit{X. Lu}, Appl. Numer. Math. 158, 22--43 (2020; Zbl 1448.35116) Full Text: DOI
Shukla, Ankita; Mehra, Mani; Leugering, Günter A fast adaptive spectral graph wavelet method for the viscous Burgers’ equation on a star-shaped connected graph. (English) Zbl 07248232 Math. Methods Appl. Sci. 43, No. 13, 7595-7614 (2020). MSC: 65T60 65M50 65M12 35Q35 35R02 PDF BibTeX XML Cite \textit{A. Shukla} et al., Math. Methods Appl. Sci. 43, No. 13, 7595--7614 (2020; Zbl 07248232) Full Text: DOI
Duangpan, A.; Boonklurb, R. Finite integration method using Chebyshev expansion for solving nonlinear Poisson equations on irregular domains. (English) Zbl 07242492 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 14, No. 1-2, 7-24 (2020). MSC: 65D30 65M50 65N30 PDF BibTeX XML Cite \textit{A. Duangpan} and \textit{R. Boonklurb}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 14, No. 1--2, 7--24 (2020; Zbl 07242492) Full Text: Link
Liao, Hong-lin; Tang, Tao; Zhou, Tao A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. (English) Zbl 1440.65116 J. Comput. Phys. 414, Article ID 109473, 15 p. (2020). MSC: 65M22 35R11 65M50 65M15 PDF BibTeX XML Cite \textit{H.-l. Liao} et al., J. Comput. Phys. 414, Article ID 109473, 15 p. (2020; Zbl 1440.65116) Full Text: DOI
Dörfler, Willy; Wieners, Christian; Ziegler, Daniel Space-time discontinuous Galerkin methods for linear hyperbolic systems and the application to the forward problem in seismic imaging. (English) Zbl 07239632 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer (ISBN 978-3-030-43650-6/hbk; 978-3-030-43651-3/ebook). Springer Proceedings in Mathematics & Statistics 323, 477-485 (2020). MSC: 65M60 65M55 65M50 65Y05 35L50 74J05 86A15 35Q86 PDF BibTeX XML Cite \textit{W. Dörfler} et al., in: Finite volumes for complex applications IX -- methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15--19, 2020. In 2 volumes. Volume I and II. Cham: Springer. 477--485 (2020; Zbl 07239632) Full Text: DOI
Droniou, Jerome Interplay between diffusion anisotropy and mesh skewness in hybrid high-order schemes. (English) Zbl 07239589 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer (ISBN 978-3-030-43650-6/hbk; 978-3-030-43651-3/ebook). Springer Proceedings in Mathematics & Statistics 323, 3-23 (2020). MSC: 65N08 65N50 65N15 PDF BibTeX XML Cite \textit{J. Droniou}, in: Finite volumes for complex applications IX -- methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15--19, 2020. In 2 volumes. Volume I and II. Cham: Springer. 3--23 (2020; Zbl 07239589) Full Text: DOI
Perugia, Ilaria; Schöberl, Joachim; Stocker, Paul; Wintersteiger, Christoph Tent pitching and Trefftz-DG method for the acoustic wave equation. (English) Zbl 1447.65087 Comput. Math. Appl. 79, No. 10, 2987-3000 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M12 65M15 65N50 65Y05 41A25 35L05 PDF BibTeX XML Cite \textit{I. Perugia} et al., Comput. Math. Appl. 79, No. 10, 2987--3000 (2020; Zbl 1447.65087) Full Text: DOI
Alharbi, Abdulghani Ragaa Numerical investigation for the GRLW equation using parabolic Monge Ampere equation. (English) Zbl 1444.65060 Int. J. Math. Comput. Sci. 15, No. 2, 443-462 (2020). MSC: 65N06 65N40 65N45 65N50 35K96 PDF BibTeX XML Cite \textit{A. R. Alharbi}, Int. J. Math. Comput. Sci. 15, No. 2, 443--462 (2020; Zbl 1444.65060) Full Text: Link
Deuflhard, Peter; Weiser, Martin Numerical mathematics 3: Adaptive numerical solution of partial differential equations. 2nd expanded edition. (Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) (German) Zbl 1451.65002 De Gruyter Studium. Berlin: De Gruyter (ISBN 978-3-11-069168-9/pbk; 978-3-11-068965-5/ebook). xvi, 456 p. (2020). MSC: 65-01 65N22 65M22 65M15 65M60 65N15 65N30 65N12 65F05 65F08 65N55 65N50 65N06 65N35 65Y15 35J05 35J60 35L05 35Q41 35Q30 35Q61 PDF BibTeX XML Cite \textit{P. Deuflhard} and \textit{M. Weiser}, Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen. Berlin: De Gruyter (2020; Zbl 1451.65002) Full Text: DOI
Wang, Wansheng; Yi, Lijun; Xiao, Aiguo A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay. (English) Zbl 1453.65346 J. Sci. Comput. 84, No. 1, Paper No. 13, 27 p. (2020). MSC: 65M60 65M06 65N30 65M15 65M50 65L03 65L70 65L20 35R07 PDF BibTeX XML Cite \textit{W. Wang} et al., J. Sci. Comput. 84, No. 1, Paper No. 13, 27 p. (2020; Zbl 1453.65346) Full Text: DOI
Nishikawa, Hiroaki A hyperbolic Poisson solver for tetrahedral grids. (English) Zbl 1448.65197 J. Comput. Phys. 409, Article ID 109358, 31 p. (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N50 65H10 65F10 65F08 35J05 PDF BibTeX XML Cite \textit{H. Nishikawa}, J. Comput. Phys. 409, Article ID 109358, 31 p. (2020; Zbl 1448.65197) Full Text: DOI
Fierro, Ignacia; Jerez-Hanckes, Carlos Fast Calderón preconditioning for Helmholtz boundary integral equations. (English) Zbl 1435.65218 J. Comput. Phys. 409, Article ID 109355, 22 p. (2020). MSC: 65N38 65N12 35J05 65N50 PDF BibTeX XML Cite \textit{I. Fierro} and \textit{C. Jerez-Hanckes}, J. Comput. Phys. 409, Article ID 109355, 22 p. (2020; Zbl 1435.65218) Full Text: DOI
Molter, Ursula; Moure, María del Carmen; Quintero, Alejandro Approximation by crystal-refinable functions. (English) Zbl 1443.41015 Geom. Dedicata 207, 1-21 (2020). Reviewer: Peter Massopust (München) MSC: 41A45 39B62 65D15 PDF BibTeX XML Cite \textit{U. Molter} et al., Geom. Dedicata 207, 1--21 (2020; Zbl 1443.41015) Full Text: DOI
Huang, Jian; Cen, Zhongdi; Liu, Li-Bin; Zhao, Jialiang An efficient numerical method for a Riemann-Liouville two-point boundary value problem. (English) Zbl 1441.65065 Appl. Math. Lett. 103, Article ID 106201, 8 p. (2020). MSC: 65L10 65L50 26A33 65R20 PDF BibTeX XML Cite \textit{J. Huang} et al., Appl. Math. Lett. 103, Article ID 106201, 8 p. (2020; Zbl 1441.65065) Full Text: DOI
Lyu, Pin; Vong, Seakweng An efficient numerical method for \(q\)-fractional differential equations. (English) Zbl 1441.65056 Appl. Math. Lett. 103, Article ID 106156, 7 p. (2020). MSC: 65L05 65L50 34A08 26A33 PDF BibTeX XML Cite \textit{P. Lyu} and \textit{S. Vong}, Appl. Math. Lett. 103, Article ID 106156, 7 p. (2020; Zbl 1441.65056) Full Text: DOI
Moxey, David; Amici, Roman; Kirby, Mike Efficient matrix-free high-order finite element evaluation for simplicial elements. (English) Zbl 1440.65223 SIAM J. Sci. Comput. 42, No. 3, C97-C123 (2020). MSC: 65N30 65N50 65N35 65Y05 68W10 35J05 PDF BibTeX XML Cite \textit{D. Moxey} et al., SIAM J. Sci. Comput. 42, No. 3, C97--C123 (2020; Zbl 1440.65223) Full Text: DOI
Gantner, Gregor; Praetorius, Dirk; Schimanko, Stefan Adaptive isogeometric boundary element methods with local smoothness control. (English) Zbl 07205673 Math. Models Methods Appl. Sci. 30, No. 2, 261-307 (2020). MSC: 65D07 65N38 65N50 65Y20 PDF BibTeX XML Cite \textit{G. Gantner} et al., Math. Models Methods Appl. Sci. 30, No. 2, 261--307 (2020; Zbl 07205673) Full Text: DOI
Li, Hao; Bi, Hai; Yang, Yidu The two-grid and multigrid discretizations of the \(C^0\)IPG method for biharmonic eigenvalue problem. (English) Zbl 1437.65173 Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1775-1789 (2020). MSC: 65N25 65N30 65N55 65N50 65F15 31A30 PDF BibTeX XML Cite \textit{H. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1775--1789 (2020; Zbl 1437.65173) Full Text: DOI
Westerdiep, Jan On \(p\)-robust saturation on quadrangulations. (English) Zbl 1437.65203 Comput. Methods Appl. Math. 20, No. 1, 169-186 (2020). MSC: 65N30 65N12 65N50 65N85 35J05 PDF BibTeX XML Cite \textit{J. Westerdiep}, Comput. Methods Appl. Math. 20, No. 1, 169--186 (2020; Zbl 1437.65203) Full Text: DOI
Beale, J. Thomas Solving partial differential equations on closed surfaces with planar Cartesian grids. (English) Zbl 1448.65091 SIAM J. Sci. Comput. 42, No. 2, A1052-A1070 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M50 65R20 58J35 58J45 86A05 35Q86 PDF BibTeX XML Cite \textit{J. T. Beale}, SIAM J. Sci. Comput. 42, No. 2, A1052--A1070 (2020; Zbl 1448.65091) Full Text: DOI
Wang, Danxia; Du, Qingqing; Zhang, Jianwen; Jia, Hongen A fast time two-mesh algorithm for Allen-Cahn equation. (English) Zbl 1437.65147 Bull. Malays. Math. Sci. Soc. (2) 43, No. 3, 2417-2441 (2020). MSC: 65M60 65N30 65M06 65M50 65H10 65M12 65M15 76M10 76M20 35Q35 PDF BibTeX XML Cite \textit{D. Wang} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 3, 2417--2441 (2020; Zbl 1437.65147) Full Text: DOI
Mascotto, Lorenzo; Pichler, Alexander Extension of the nonconforming Trefftz virtual element method to the Helmholtz problem with piecewise constant wave number. (English) Zbl 1436.65185 Appl. Numer. Math. 155, 160-180 (2020). MSC: 65N30 35J05 76T06 65N50 PDF BibTeX XML Cite \textit{L. Mascotto} and \textit{A. Pichler}, Appl. Numer. Math. 155, 160--180 (2020; Zbl 1436.65185) Full Text: DOI
Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. (English) Zbl 1436.65125 Adv. Comput. Math. 46, No. 2, Paper No. 25, 35 p. (2020). MSC: 65M08 65M60 65M50 65M12 76D05 76D45 76T06 76M12 35Q35 PDF BibTeX XML Cite \textit{R. Li} et al., Adv. Comput. Math. 46, No. 2, Paper No. 25, 35 p. (2020; Zbl 1436.65125) Full Text: DOI
Araya, Rodolfo; Aguayo, Jorge; Muñoz, Santiago An adaptive stabilized method for advection-diffusion-reaction equation. (English) Zbl 1436.65170 J. Comput. Appl. Math. 376, Article ID 112858, 22 p. (2020). MSC: 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{R. Araya} et al., J. Comput. Appl. Math. 376, Article ID 112858, 22 p. (2020; Zbl 1436.65170) Full Text: DOI
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad; Khurana, Gunjan A new high accuracy method in exponential form based on off-step discretization for non-linear two point boundary value problems. (English) Zbl 1437.65080 J. Difference Equ. Appl. 26, No. 2, 171-202 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L10 65L12 65L20 65L50 PDF BibTeX XML Cite \textit{R. K. Mohanty} et al., J. Difference Equ. Appl. 26, No. 2, 171--202 (2020; Zbl 1437.65080) Full Text: DOI
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I. Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. (English) Zbl 1447.65150 Comput. Methods Appl. Math. 20, No. 2, 293-319 (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 65N30 49M29 65N15 65N50 35J20 PDF BibTeX XML Cite \textit{J. Kraus} et al., Comput. Methods Appl. Math. 20, No. 2, 293--319 (2020; Zbl 1447.65150) Full Text: DOI
Pham, Duong Thanh; Tran, Thanh; Dinh, Dũng; Chernov, Alexey Exterior Dirichlet and Neumann problems in domains with random boundaries. (English) Zbl 1435.65219 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1311-1342 (2020). MSC: 65N38 65N15 65N50 35B20 35J05 35R60 PDF BibTeX XML Cite \textit{D. T. Pham} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1311--1342 (2020; Zbl 1435.65219) Full Text: DOI
Choi, Woocheol; Lee, Sanghyun Optimal error estimate of elliptic problems with Dirac sources for discontinuous and enriched Galerkin methods. (English) Zbl 1434.65242 Appl. Numer. Math. 150, 76-104 (2020). MSC: 65N30 65N50 65N15 35J05 65N12 PDF BibTeX XML Cite \textit{W. Choi} and \textit{S. Lee}, Appl. Numer. Math. 150, 76--104 (2020; Zbl 1434.65242) Full Text: DOI
Shi, Dongyang; Wang, Ran Unconditional superconvergence analysis of a two-grid finite element method for nonlinear wave equations. (English) Zbl 1440.65268 Appl. Numer. Math. 150, 38-50 (2020). MSC: 65N55 65N30 65N12 65N50 65M60 65M06 65H10 65F10 PDF BibTeX XML Cite \textit{D. Shi} and \textit{R. Wang}, Appl. Numer. Math. 150, 38--50 (2020; Zbl 1440.65268) Full Text: DOI
Chen, Yanping; Lin, Xiuxiu; Huang, Yunqing; Lin, Qian \(hp\) spectral element approximation for integral state constrained optimal control problems governed by harmonic equations. (English) Zbl 1440.65244 J. Comput. Appl. Math. 371, Article ID 112716, 13 p. (2020). MSC: 65N35 65N15 65N50 31A30 49K20 93C20 35Q93 35B45 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Appl. Math. 371, Article ID 112716, 13 p. (2020; Zbl 1440.65244) Full Text: DOI
Chen, Yaoyao; Huang, Yunqing; Yi, Nianyu Recovery type a posteriori error estimation of adaptive finite element method for Allen-Cahn equation. (English) Zbl 1434.65225 J. Comput. Appl. Math. 369, Article ID 112574, 21 p. (2020). MSC: 65N15 65N30 65N50 65M06 65M15 35Q35 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Appl. Math. 369, Article ID 112574, 21 p. (2020; Zbl 1434.65225) Full Text: DOI
Xu, Fei; Huang, Qiumei A type of cascadic multigrid method for coupled semilinear elliptic equations. (English) Zbl 1442.65433 Numer. Algorithms 83, No. 2, 485-510 (2020). MSC: 65N55 65N30 65N50 65N12 35J61 PDF BibTeX XML Cite \textit{F. Xu} and \textit{Q. Huang}, Numer. Algorithms 83, No. 2, 485--510 (2020; Zbl 1442.65433) Full Text: DOI
Alharbi, A. R.; Almatrafi, M. B. Riccati-Bernoulli sub-ODE approach on the partial differential equations and applications. (English) Zbl 1430.35007 Int. J. Math. Comput. Sci. 15, No. 1, 367-388 (2020). MSC: 35A24 35A20 83C15 65L12 65L50 65M50 65N06 65N50 35Q51 65Z05 76A20 35C08 35C07 PDF BibTeX XML Cite \textit{A. R. Alharbi} and \textit{M. B. Almatrafi}, Int. J. Math. Comput. Sci. 15, No. 1, 367--388 (2020; Zbl 1430.35007) Full Text: Link
Cavoretto, Roberto; De Rossi, Alessandra Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme. (English) Zbl 1433.65020 Appl. Math. Comput. 369, Article ID 124824, 18 p. (2020). MSC: 65D15 65M70 35J05 PDF BibTeX XML Cite \textit{R. Cavoretto} and \textit{A. De Rossi}, Appl. Math. Comput. 369, Article ID 124824, 18 p. (2020; Zbl 1433.65020) Full Text: DOI
Kou, Jisheng; Sun, Shuyu; Wang, Xiuhua A novel energy factorization approach for the diffuse-interface model with Peng-Robinson equation of state. (English) Zbl 1432.65169 SIAM J. Sci. Comput. 42, No. 1, B30-B56 (2020). MSC: 65N30 65N50 49S05 65M06 76R50 76M10 PDF BibTeX XML Cite \textit{J. Kou} et al., SIAM J. Sci. Comput. 42, No. 1, B30--B56 (2020; Zbl 1432.65169) Full Text: DOI arXiv
Mackenzie, J. A.; Mekwi, W. R. An \(hr\)-adaptive method for the cubic nonlinear Schrödinger equation. (English) Zbl 1431.65163 J. Comput. Appl. Math. 364, Article ID 112320, 20 p. (2020). MSC: 65M50 65M06 65M25 65M12 35Q55 35Q41 PDF BibTeX XML Cite \textit{J. A. Mackenzie} and \textit{W. R. Mekwi}, J. Comput. Appl. Math. 364, Article ID 112320, 20 p. (2020; Zbl 1431.65163) Full Text: DOI
Karatzas, Efthymios N.; Stabile, Giovanni; Atallah, Nabil; Scovazzi, Guglielmo; Rozza, Gianluigi A reduced order approach for the embedded shifted boundary FEM and a heat exchange system on parametrized geometries. (English) Zbl 1442.65376 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 111-125 (2020). MSC: 65N30 65N38 65N50 80M10 80M15 80A19 35K05 PDF BibTeX XML Cite \textit{E. N. Karatzas} et al., IUTAM Bookser. 36, 111--125 (2020; Zbl 1442.65376) Full Text: DOI
Baccouch, Mahboub A posteriori error analysis of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. (English) Zbl 1428.65025 J. Comput. Appl. Math. 366, Article ID 112432, 20 p. (2020). MSC: 65M12 65M60 65M15 65M50 35Q53 65L06 35C08 PDF BibTeX XML Cite \textit{M. Baccouch}, J. Comput. Appl. Math. 366, Article ID 112432, 20 p. (2020; Zbl 1428.65025) Full Text: DOI
Thaler, Stephan; Paehler, Ludger; Adams, Nikolaus A. Sparse identification of truncation errors. (English) Zbl 1453.65281 J. Comput. Phys. 397, Article ID 108851, 21 p. (2019). MSC: 65M15 65M06 65M50 62G08 65K10 PDF BibTeX XML Cite \textit{S. Thaler} et al., J. Comput. Phys. 397, Article ID 108851, 21 p. (2019; Zbl 1453.65281) Full Text: DOI
Cook, S. P.; Budd, C. J.; Melvin, T. The moving mesh semi-Lagrangian MMSISL method. (English) Zbl 1452.65217 J. Comput. Phys. 393, 484-502 (2019). MSC: 65M50 76M20 65M06 PDF BibTeX XML Cite \textit{S. P. Cook} et al., J. Comput. Phys. 393, 484--502 (2019; Zbl 1452.65217) Full Text: DOI
Chang, Lina; Sheng, Zhiqiang; Yuan, Guangwei An improvement of the two-point flux approximation scheme on polygonal meshes. (English) Zbl 1452.65305 J. Comput. Phys. 392, 187-204 (2019). MSC: 65N08 65N50 PDF BibTeX XML Cite \textit{L. Chang} et al., J. Comput. Phys. 392, 187--204 (2019; Zbl 1452.65305) Full Text: DOI
Mehmani, Yashar; Tchelepi, Hamdi A. Multiscale formulation of two-phase flow at the pore scale. (English) Zbl 1452.65218 J. Comput. Phys. 389, 164-188 (2019). MSC: 65M55 65M50 65M08 76S05 76M12 76D05 76T06 PDF BibTeX XML Cite \textit{Y. Mehmani} and \textit{H. A. Tchelepi}, J. Comput. Phys. 389, 164--188 (2019; Zbl 1452.65218) Full Text: DOI
Jia, Jinhong; Wang, Hong A fast finite volume method for conservative space-time fractional diffusion equations discretized on space-time locally refined meshes. (English) Zbl 1442.65197 Comput. Math. Appl. 78, No. 5, 1345-1356 (2019). MSC: 65M08 35R11 PDF BibTeX XML Cite \textit{J. Jia} and \textit{H. Wang}, Comput. Math. Appl. 78, No. 5, 1345--1356 (2019; Zbl 1442.65197) Full Text: DOI
Chen, Yaoyao; Huang, Yunqing; Yi, Nianyu A SCR-based error estimation and adaptive finite element method for the Allen-Cahn equation. (English) Zbl 1442.65253 Comput. Math. Appl. 78, No. 1, 204-223 (2019). MSC: 65M60 65M15 65M50 82C26 PDF BibTeX XML Cite \textit{Y. Chen} et al., Comput. Math. Appl. 78, No. 1, 204--223 (2019; Zbl 1442.65253) Full Text: DOI
Gopalakrishnan, Jay; Sepúlveda, Paulina A space-time DPG method for the wave equation in multiple dimensions. (English) Zbl 1453.65319 Langer, Ulrich (ed.) et al., Space-time methods. Applications to partial differential equations. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 25, 117-139 (2019). MSC: 65M60 35L05 58J45 65M15 65M50 65M12 PDF BibTeX XML Cite \textit{J. Gopalakrishnan} and \textit{P. Sepúlveda}, Radon Ser. Comput. Appl. Math. 25, 117--139 (2019; Zbl 1453.65319) Full Text: DOI
Dohr, Stefan; Niino, Kazuki; Steinbach, Olaf Space-time boundary element methods for the heat equation. (English) Zbl 1453.65294 Langer, Ulrich (ed.) et al., Space-time methods. Applications to partial differential equations. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 25, 1-60 (2019). MSC: 65M38 65R20 65M50 65M12 65M15 65M80 65Y05 35Q79 35B45 35K05 PDF BibTeX XML Cite \textit{S. Dohr} et al., Radon Ser. Comput. Appl. Math. 25, 1--60 (2019; Zbl 1453.65294) Full Text: DOI
Nicaise, Serge; Tomezyk, Jérôme The time-harmonic Maxwell equations with impedance boundary conditions in polyhedral domains. (English) Zbl 1445.78013 Langer, Ulrich (ed.) et al., Maxwell’s equations. Analysis and numerics. Contributions from the workshop on analysis and numerics of acoustic and electromagnetic problems, RICAM, Linz, Austria, October 17–22, 2016. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 24, 285-340 (2019). MSC: 78M10 35J57 35B65 65N12 65N30 65N50 78M30 35J05 35D30 35B35 35Q61 PDF BibTeX XML Cite \textit{S. Nicaise} and \textit{J. Tomezyk}, Radon Ser. Comput. Appl. Math. 24, 285--340 (2019; Zbl 1445.78013) Full Text: DOI
Pölz, D.; Gfrerer, M. H.; Schanz, M. Wave propagation in elastic trusses: an approach via retarded potentials. (English) Zbl 07221209 Wave Motion 87, 37-57 (2019). MSC: 74 65 PDF BibTeX XML Cite \textit{D. Pölz} et al., Wave Motion 87, 37--57 (2019; Zbl 07221209) Full Text: DOI
Jeon, Youngmok The Crank-Nicolson hybrid difference method for the time wave equation on exterior domains with the discrete radial absorbing boundary condition. (English) Zbl 07215417 Wave Motion 86, 32-43 (2019). MSC: 65N30 65N38 65N50 PDF BibTeX XML Cite \textit{Y. Jeon}, Wave Motion 86, 32--43 (2019; Zbl 07215417) Full Text: DOI
Hu, Wei; Trask, Nathaniel; Hu, Xiaozhe; Pan, Wenxiao A spatially adaptive high-order meshless method for fluid-structure interactions. (English) Zbl 1441.76061 Comput. Methods Appl. Mech. Eng. 355, 67-93 (2019). MSC: 76M10 65N30 74F10 76D07 PDF BibTeX XML Cite \textit{W. Hu} et al., Comput. Methods Appl. Mech. Eng. 355, 67--93 (2019; Zbl 1441.76061) Full Text: DOI
Zhao, Tinggang; Mao, Zhiping; Karniadakis, George Em Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations. (English) Zbl 1440.65258 Comput. Methods Appl. Mech. Eng. 348, 377-395 (2019). MSC: 65N35 34A08 65M70 PDF BibTeX XML Cite \textit{T. Zhao} et al., Comput. Methods Appl. Mech. Eng. 348, 377--395 (2019; Zbl 1440.65258) Full Text: DOI
Bespalov, Alex; Betcke, Timo; Haberl, Alexander; Praetorius, Dirk Adaptive BEM with optimal convergence rates for the Helmholtz equation. (English) Zbl 1440.65259 Comput. Methods Appl. Mech. Eng. 346, 260-287 (2019). MSC: 65N38 65N50 35J05 PDF BibTeX XML Cite \textit{A. Bespalov} et al., Comput. Methods Appl. Mech. Eng. 346, 260--287 (2019; Zbl 1440.65259) Full Text: DOI
Di Fratta, Giovanni; Führer, Thomas; Gantner, Gregor; Praetorius, Dirk Adaptive Uzawa algorithm for the Stokes equation. (English) Zbl 1434.65248 ESAIM, Math. Model. Numer. Anal. 53, No. 6, 1841-1870 (2019). MSC: 65N30 65N50 65N15 65F10 41A25 65N12 76D07 76M10 PDF BibTeX XML Cite \textit{G. Di Fratta} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 6, 1841--1870 (2019; Zbl 1434.65248) Full Text: DOI
Dong, Zhaonan Discontinuous Galerkin methods for the biharmonic problem on polygonal and polyhedral meshes. (English) Zbl 1434.65249 Int. J. Numer. Anal. Model. 16, No. 5, 825-846 (2019). MSC: 65N30 65N50 65N15 31A30 PDF BibTeX XML Cite \textit{Z. Dong}, Int. J. Numer. Anal. Model. 16, No. 5, 825--846 (2019; Zbl 1434.65249) Full Text: Link
Zhang, Ning; Xu, Fei; Xie, Hehu An efficient multigrid method for ground state solution of Bose-Einstein condensates. (English) Zbl 1434.65287 Int. J. Numer. Anal. Model. 16, No. 5, 789-803 (2019). MSC: 65N30 65N50 65N55 35Q55 65N25 65N12 82M10 PDF BibTeX XML Cite \textit{N. Zhang} et al., Int. J. Numer. Anal. Model. 16, No. 5, 789--803 (2019; Zbl 1434.65287) Full Text: Link
Shapeev, Vasiliĭ Pavlovich; Bryndin, Luka Sergeevich; Belyaev, Vasiliĭ Alekseevich Solving elliptic equations in polygonal domains by the least squares collocation method. (Russian. English summary) Zbl 1433.35031 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 3, 140-152 (2019). MSC: 35J15 35J40 41A10 65N50 PDF BibTeX XML Cite \textit{V. P. Shapeev} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 3, 140--152 (2019; Zbl 1433.35031) Full Text: DOI MNR
Banz, Lothar; Petsche, Jan; Schröder, Andreas Two stabilized three-field formulations for the biharmonic problem. (English) Zbl 1433.65275 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 41-55 (2019). MSC: 65N30 65N12 65N15 65N50 35J30 31A30 35B45 PDF BibTeX XML Cite \textit{L. Banz} et al., Lect. Notes Comput. Sci. Eng. 128, 41--55 (2019; Zbl 1433.65275) Full Text: DOI
Banz, Lothar; Petsche, Jan; Schröder, Andreas Explicit and implicit reconstructions of the potential in dual mixed \(hp\)-finite element methods. (English) Zbl 1433.65260 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 17-40 (2019). MSC: 65N15 65N30 65N50 35J05 35J25 65N12 PDF BibTeX XML Cite \textit{L. Banz} et al., Lect. Notes Comput. Sci. Eng. 128, 17--40 (2019; Zbl 1433.65260) Full Text: DOI
Lin, Tao; Lin, Yanping; Zhuang, Qiao Solving interface problems of the Helmholtz equation by immersed finite element methods. (English) Zbl 1449.65319 Commun. Appl. Math. Comput. 1, No. 2, 187-206 (2019). MSC: 65N30 65N50 35R05 35J05 65N12 PDF BibTeX XML Cite \textit{T. Lin} et al., Commun. Appl. Math. Comput. 1, No. 2, 187--206 (2019; Zbl 1449.65319) Full Text: DOI
Ainsworth, Mark; Mao, Zhiping Analysis and approximation of gradient flows associated with a fractional order Gross-Pitaevskii free energy. (English) Zbl 1449.65302 Commun. Appl. Math. Comput. 1, No. 1, 5-19 (2019). MSC: 65N12 65N30 65N50 35R11 26A33 35Q55 PDF BibTeX XML Cite \textit{M. Ainsworth} and \textit{Z. Mao}, Commun. Appl. Math. Comput. 1, No. 1, 5--19 (2019; Zbl 1449.65302) Full Text: DOI
Duan, Xianbao; Cao, Qinqin; Tan, Hongxia A new moving mesh method for solving the two-dimensional Navier-Stokes equation. (Chinese. English summary) Zbl 1449.65341 Chin. J. Eng. Math. 36, No. 4, 431-438 (2019). MSC: 65N50 65N30 76D05 35Q30 76M10 PDF BibTeX XML Cite \textit{X. Duan} et al., Chin. J. Eng. Math. 36, No. 4, 431--438 (2019; Zbl 1449.65341) Full Text: DOI
Zhou, Qin; Yang, Yin Adaptive mesh method for solving a second-order hyperbolic equation. (Chinese. English summary) Zbl 1449.65215 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 4, 942-950 (2019). MSC: 65M06 65M50 35L10 PDF BibTeX XML Cite \textit{Q. Zhou} and \textit{Y. Yang}, Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 4, 942--950 (2019; Zbl 1449.65215)
Albrecht, Clelia; Klaar, Constanze; Schweitzer, Marc Alexander Stable and efficient quantum mechanical calculations with PUMA on triclinic lattices. (English) Zbl 1434.82097 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations IX. Selected papers of the ninth international workshop, Bonn, Germany, September 18–20, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 129, 185-195 (2019). MSC: 82M10 82B20 65N30 35J10 65N50 65N25 35P30 65N12 PDF BibTeX XML Cite \textit{C. Albrecht} et al., Lect. Notes Comput. Sci. Eng. 129, 185--195 (2019; Zbl 1434.82097) Full Text: DOI
Hošek, Radim; Volek, Jonáš Discrete advection-diffusion equations on graphs: maximum principle and finite volumes. (English) Zbl 1429.65212 Appl. Math. Comput. 361, 630-644 (2019). MSC: 65M08 34A33 35B50 35R02 39A06 39A12 65M22 65M50 PDF BibTeX XML Cite \textit{R. Hošek} and \textit{J. Volek}, Appl. Math. Comput. 361, 630--644 (2019; Zbl 1429.65212) Full Text: DOI
Sukiasyan, H. S. On extremal property of the sum of cotangents and its applications in mathematical physics. (English) Zbl 1427.65398 Lobachevskii J. Math. 40, No. 8, 1137-1140 (2019). MSC: 65N50 05B45 65N30 78A30 78M10 PDF BibTeX XML Cite \textit{H. S. Sukiasyan}, Lobachevskii J. Math. 40, No. 8, 1137--1140 (2019; Zbl 1427.65398) Full Text: DOI
Ortiz-Bernardin, A.; Alvarez, C.; Hitschfeld-Kahler, N.; Russo, A.; Silva-Valenzuela, R.; Olate-Sanzana, E. Veamy: an extensible object-oriented C++ library for the virtual element method. (English) Zbl 1442.65002 Numer. Algorithms 82, No. 4, 1189-1220 (2019). MSC: 65-04 65N30 65N50 35J05 74B99 PDF BibTeX XML Cite \textit{A. Ortiz-Bernardin} et al., Numer. Algorithms 82, No. 4, 1189--1220 (2019; Zbl 1442.65002) Full Text: DOI
Wang, Siyang; Petersson, N. Anders Fourth order finite difference methods for the wave equation with mesh refinement interfaces. (English) Zbl 1425.65092 SIAM J. Sci. Comput. 41, No. 5, A3246-A3275 (2019). MSC: 65M06 65M12 PDF BibTeX XML Cite \textit{S. Wang} and \textit{N. A. Petersson}, SIAM J. Sci. Comput. 41, No. 5, A3246--A3275 (2019; Zbl 1425.65092) Full Text: DOI arXiv
Kim, Ji Hyun Uniform mesh method for a Maxwell’s equation with discontinuous coefficients. (English) Zbl 1438.65288 J. Appl. Math. Inform. 37, No. 1-2, 123-131 (2019). MSC: 65N30 65N12 78M10 78M30 65N50 35Q61 PDF BibTeX XML Cite \textit{J. H. Kim}, J. Appl. Math. Inform. 37, No. 1--2, 123--131 (2019; Zbl 1438.65288) Full Text: DOI
Tselishcheva, Irina; Shishkin, Grigorii On a reliable numerical method for a singularly perturbed parabolic reaction-diffusion problem in a doubly connected domain. (English) Zbl 1434.65139 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 558-565 (2019). MSC: 65M06 65M50 65M55 65M12 PDF BibTeX XML Cite \textit{I. Tselishcheva} and \textit{G. Shishkin}, Lect. Notes Comput. Sci. 11386, 558--565 (2019; Zbl 1434.65139) Full Text: DOI
Makarov, Volodymyr; Mayko, Nataliya The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation. (English) Zbl 1420.65078 Comput. Methods Appl. Math. 19, No. 2, 379-394 (2019). MSC: 65L10 65L20 65L50 65N12 65N50 PDF BibTeX XML Cite \textit{V. Makarov} and \textit{N. Mayko}, Comput. Methods Appl. Math. 19, No. 2, 379--394 (2019; Zbl 1420.65078) Full Text: DOI
Su, Jian; Fang, Weiwei; Yu, Qian; Li, Yibao Numerical simulation of Swift-Hohenberg equation by the fourth-order compact scheme. (English) Zbl 1438.65192 Comput. Appl. Math. 38, No. 2, Paper No. 54, 15 p. (2019). MSC: 65M06 65M55 35G20 35Q35 65H10 65M50 PDF BibTeX XML Cite \textit{J. Su} et al., Comput. Appl. Math. 38, No. 2, Paper No. 54, 15 p. (2019; Zbl 1438.65192) Full Text: DOI
Wang, Wansheng; Chen, Yingzi; Fang, Hua On the variable two-step IMEX BDF method for parabolic integro-differential equations with nonsmooth initial data arising in finance. (English) Zbl 1422.65189 SIAM J. Numer. Anal. 57, No. 3, 1289-1317 (2019). MSC: 65M06 65M55 65L60 91B25 91G60 65J10 65M12 35R09 45K05 65M50 PDF BibTeX XML Cite \textit{W. Wang} et al., SIAM J. Numer. Anal. 57, No. 3, 1289--1317 (2019; Zbl 1422.65189) Full Text: DOI
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob P.; Verani, Marco A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square. (English) Zbl 1426.65187 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 987-1003 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 65N30 65N50 65N55 65N15 35J05 PDF BibTeX XML Cite \textit{C. Canuto} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 3, 987--1003 (2019; Zbl 1426.65187) Full Text: DOI
Gorynina, O.; Lozinski, A.; Picasso, M. An easily computable error estimator in space and time for the wave equation. (English) Zbl 1422.65226 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 729-747 (2019). MSC: 65M15 65M50 65M60 65M06 35L05 PDF BibTeX XML Cite \textit{O. Gorynina} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 3, 729--747 (2019; Zbl 1422.65226) Full Text: DOI
Celiker, Emine; Lin, Ping A highly-accurate finite element method with exponentially compressed meshes for the solution of the Dirichlet problem of the generalized Helmholtz equation with corner singularities. (English) Zbl 1418.65166 J. Comput. Appl. Math. 361, 227-235 (2019). MSC: 65N30 65N50 65N15 65N12 65N22 PDF BibTeX XML Cite \textit{E. Celiker} and \textit{P. Lin}, J. Comput. Appl. Math. 361, 227--235 (2019; Zbl 1418.65166) Full Text: DOI
Huang, Yunqing; Yang, Wei; Wang, Hao; Cui, Jintao Adaptive operator splitting finite element method for Allen-Cahn equation. (English) Zbl 1418.65132 Numer. Methods Partial Differ. Equations 35, No. 3, 1290-1300 (2019). MSC: 65M60 65M12 65M15 65H10 65M50 PDF BibTeX XML Cite \textit{Y. Huang} et al., Numer. Methods Partial Differ. Equations 35, No. 3, 1290--1300 (2019; Zbl 1418.65132) Full Text: DOI
Ngo, Cuong; Huang, Weizhang Adaptive finite element solution of the porous medium equation in pressure formulation. (English) Zbl 1418.65135 Numer. Methods Partial Differ. Equations 35, No. 3, 1224-1242 (2019). MSC: 65M60 35Q35 76S05 65M50 35R35 65M06 PDF BibTeX XML Cite \textit{C. Ngo} and \textit{W. Huang}, Numer. Methods Partial Differ. Equations 35, No. 3, 1224--1242 (2019; Zbl 1418.65135) Full Text: DOI arXiv
Prieto, Juan Luis; Carpio, Jaime A-SLEIPNNIR: a multiscale, anisotropic adaptive, particle level set framework for moving interfaces. Transport equation applications. (English) Zbl 1416.76124 J. Comput. Phys. 377, 89-116 (2019). MSC: 76M10 65M60 65M50 76T99 PDF BibTeX XML Cite \textit{J. L. Prieto} and \textit{J. Carpio}, J. Comput. Phys. 377, 89--116 (2019; Zbl 1416.76124) Full Text: DOI
Gao, Qinjiao; Zhang, Shenggang; Zhang, Jihong Adaptive moving knots meshless method for Degasperis-Procesi equation with conservation laws. (English) Zbl 1416.65264 Appl. Numer. Math. 142, 90-101 (2019). MSC: 65M06 35Q53 65M50 PDF BibTeX XML Cite \textit{Q. Gao} et al., Appl. Numer. Math. 142, 90--101 (2019; Zbl 1416.65264) Full Text: DOI
Jones, Tiffany; Sheng, Qin Numerical stabilities study of a decomposed compact method for highly oscillatory Helmholtz equations. (English) Zbl 1419.65023 J. Comput. Appl. Math. 354, 334-347 (2019). MSC: 65M06 65M12 65M50 65Z05 78A15 78M20 78A60 35Q60 PDF BibTeX XML Cite \textit{T. Jones} and \textit{Q. Sheng}, J. Comput. Appl. Math. 354, 334--347 (2019; Zbl 1419.65023) Full Text: DOI
Li, Congying; Huang, Yunqing; Yi, Nianyu An unconditionally energy stable second order finite element method for solving the Allen-Cahn equation. (English) Zbl 1419.65116 J. Comput. Appl. Math. 353, 38-48 (2019). MSC: 65N30 65N15 65N50 65M06 PDF BibTeX XML Cite \textit{C. Li} et al., J. Comput. Appl. Math. 353, 38--48 (2019; Zbl 1419.65116) Full Text: DOI
Chen, Yingzi; Xiao, Aiguo; Wang, Wansheng An IMEX-BDF2 compact scheme for pricing options under regime-switching jump-diffusion models. (English) Zbl 1417.65150 Math. Methods Appl. Sci. 42, No. 8, 2646-2663 (2019). MSC: 65M06 91G60 60J75 91G20 65M12 65M50 PDF BibTeX XML Cite \textit{Y. Chen} et al., Math. Methods Appl. Sci. 42, No. 8, 2646--2663 (2019; Zbl 1417.65150) Full Text: DOI
Kumar, Vivek; Srinivasan, Balaji A novel adaptive mesh strategy for singularly perturbed parabolic convection diffusion problems. (English) Zbl 1416.65271 Differ. Equ. Dyn. Syst. 27, No. 1-3, 203-220 (2019). MSC: 65M06 65M15 65M50 35B25 91G60 91G20 35K20 35Q91 PDF BibTeX XML Cite \textit{V. Kumar} and \textit{B. Srinivasan}, Differ. Equ. Dyn. Syst. 27, No. 1--3, 203--220 (2019; Zbl 1416.65271) Full Text: DOI
Congreve, Scott; Houston, Paul; Perugia, Ilaria Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem. (English) Zbl 1419.65105 Adv. Comput. Math. 45, No. 1, 361-393 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N50 35J05 78M10 PDF BibTeX XML Cite \textit{S. Congreve} et al., Adv. Comput. Math. 45, No. 1, 361--393 (2019; Zbl 1419.65105) Full Text: DOI arXiv
Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria Robust adaptive \(hp\) discontinuous Galerkin finite element methods for the Helmholtz equation. (English) Zbl 1414.65029 SIAM J. Sci. Comput. 41, No. 2, A1121-A1147 (2019). MSC: 65N15 65N30 65N50 35J05 PDF BibTeX XML Cite \textit{S. Congreve} et al., SIAM J. Sci. Comput. 41, No. 2, A1121--A1147 (2019; Zbl 1414.65029) Full Text: DOI arXiv