Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi Hierarchical model reduction techniques for flow modeling in a parametrized setting. (English) Zbl 07331783 Multiscale Model. Simul. 19, No. 1, 267-293 (2021). MSC: 65N30 65N35 76M10 PDF BibTeX XML Cite \textit{M. Zancanaro} et al., Multiscale Model. Simul. 19, No. 1, 267--293 (2021; Zbl 07331783) Full Text: DOI
Dai, Dihan; Epshteyn, Yekaterina; Narayan, Akil Hyperbolicity-preserving and well-balanced stochastic Galerkin method for shallow water equations. (English) Zbl 07331007 SIAM J. Sci. Comput. 43, No. 2, A929-A952 (2021). MSC: 35L65 35Q35 35R60 65M60 65M70 PDF BibTeX XML Cite \textit{D. Dai} et al., SIAM J. Sci. Comput. 43, No. 2, A929--A952 (2021; Zbl 07331007) Full Text: DOI
Hapla, Vaclav; Knepley, Matthew G.; Afanasiev, Michael; Boehm, Christian; van Driel, Martin; Krischer, Lion; Fichtner, Andreas Fully parallel mesh I/O using PETSc DMPlex with an application to waveform modeling. (English) Zbl 07330998 SIAM J. Sci. Comput. 43, No. 2, C127-C153 (2021). MSC: 65-04 65Y05 65M50 05C90 35L05 PDF BibTeX XML Cite \textit{V. Hapla} et al., SIAM J. Sci. Comput. 43, No. 2, C127--C153 (2021; Zbl 07330998) Full Text: DOI
Izadi, Mohammad; Afshar, Mehdi Solving the Basset equation via Chebyshev collocation and LDG methods. (English) Zbl 07326408 J. Math. Model. 9, No. 1, 61-79 (2021). MSC: 34A08 26A33 41A10 65M70 65L60 65L07 PDF BibTeX XML Cite \textit{M. Izadi} and \textit{M. Afshar}, J. Math. Model. 9, No. 1, 61--79 (2021; Zbl 07326408) Full Text: DOI
Cai, Haotao; An, Qiguang A fractional spectral collocation method for general Caputo two-point boundary value problems. (English) Zbl 07316835 Appl. Numer. Math. 163, 43-56 (2021). MSC: 65L60 34A08 45D05 45B05 PDF BibTeX XML Cite \textit{H. Cai} and \textit{Q. An}, Appl. Numer. Math. 163, 43--56 (2021; Zbl 07316835) Full Text: DOI
Zaky, Mahmoud A.; Hendy, Ahmed S. An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe. (English) Zbl 07310775 Appl. Numer. Math. 160, 281-295 (2021). MSC: 35Q75 83C10 83C15 83C40 65M06 65M70 65N30 65M12 65M15 42C10 65P10 PDF BibTeX XML Cite \textit{M. A. Zaky} and \textit{A. S. Hendy}, Appl. Numer. Math. 160, 281--295 (2021; Zbl 07310775) Full Text: DOI
Qiu, Wenlin; Xu, Da; Guo, Jing The Crank-Nicolson-type Sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel. (English) Zbl 07310755 Appl. Numer. Math. 159, 239-258 (2021). MSC: 65M60 65M70 65M12 45K05 45E10 35R09 65D30 15B05 35R11 65M06 PDF BibTeX XML Cite \textit{W. Qiu} et al., Appl. Numer. Math. 159, 239--258 (2021; Zbl 07310755) Full Text: DOI
Alsuyuti, M. M.; Doha, E. H.; Ezz-Eldien, S. S.; Youssef, I. K. Spectral Galerkin schemes for a class of multi-order fractional pantograph equations. (English) Zbl 07305056 J. Comput. Appl. Math. 384, Article ID 113157, 21 p. (2021). MSC: 65M70 65N30 65M12 65M15 35C10 42C10 35R11 PDF BibTeX XML Cite \textit{M. M. Alsuyuti} et al., J. Comput. Appl. Math. 384, Article ID 113157, 21 p. (2021; Zbl 07305056) Full Text: DOI
Jagtap, Ameya D. On spatio-temporal dynamics of sine-Gordon soliton in nonlinear non-homogeneous media using fully implicit spectral element scheme. (English) Zbl 1455.65133 Appl. Anal. 100, No. 1, 37-60 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65M70 35C08 65M12 58J45 35L70 35L20 35Q51 PDF BibTeX XML Cite \textit{A. D. Jagtap}, Appl. Anal. 100, No. 1, 37--60 (2021; Zbl 1455.65133) Full Text: DOI
Yan, Zhen-Guo; Pan, Yu; Castiglioni, Giacomo; Hillewaert, Koen; Peiró, Joaquim; Moxey, David; Sherwin, Spencer J. Nektar++: design and implementation of an implicit, spectral/\(hp\) element, compressible flow solver using a Jacobian-free Newton Krylov approach. (English) Zbl 07288718 Comput. Math. Appl. 81, 351-372 (2021). MSC: 76M22 76M10 76M20 76N15 PDF BibTeX XML Cite \textit{Z.-G. Yan} et al., Comput. Math. Appl. 81, 351--372 (2021; Zbl 07288718) Full Text: DOI
Lin, Ji; Feng, Wenjie; Reutskiy, Sergiy; Xu, Haifeng; He, Yongjun A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients. (English) Zbl 1454.65126 Appl. Math. Lett. 112, Article ID 106712, 8 p. (2021). Reviewer: Hendrik Ranocha (Münster) MSC: 65M70 65N25 65L60 35R11 34A08 PDF BibTeX XML Cite \textit{J. Lin} et al., Appl. Math. Lett. 112, Article ID 106712, 8 p. (2021; Zbl 1454.65126) Full Text: DOI
Wang, Pengde Fast exponential time differencing/spectral-Galerkin method for the nonlinear fractional Ginzburg-Landau equation with fractional Laplacian in unbounded domain. (English) Zbl 1453.65365 Appl. Math. Lett. 112, Article ID 106710, 7 p. (2021). MSC: 65M70 65M60 65N35 65M06 35R11 35Q56 PDF BibTeX XML Cite \textit{P. Wang}, Appl. Math. Lett. 112, Article ID 106710, 7 p. (2021; Zbl 1453.65365) Full Text: DOI
Doyle, James F. Wave propagation in structures. 3rd revised, updated and augmented edition. (English) Zbl 07279544 Mechanical Engineering Series. Cham: Springer (ISBN 978-3-030-59678-1/hbk; 978-3-030-59679-8/ebook). xviii, 421 p. (2021). MSC: 74J10 74H45 65T50 74-02 74S99 35P05 74S05 PDF BibTeX XML Cite \textit{J. F. Doyle}, Wave propagation in structures. 3rd revised, updated and augmented edition. Cham: Springer (2021; Zbl 07279544) Full Text: DOI
Chaudhry, Jehanzeb H.; Collins, J. B. A posteriori error estimation for the spectral deferred correction method. (English) Zbl 07241423 J. Comput. Appl. Math. 382, Article ID 113097, 13 p. (2021). MSC: 65 74 PDF BibTeX XML Cite \textit{J. H. Chaudhry} and \textit{J. B. Collins}, J. Comput. Appl. Math. 382, Article ID 113097, 13 p. (2021; Zbl 07241423) Full Text: DOI
Pugachev, V. S.; Sinitsyn, I. N. Lectures on functional analysis and applications (to appear). 2nd edition. (English) Zbl 07029832 Hackensack, NJ: World Scientific (ISBN 978-981-3203-17-4/hbk; 978-981-3203-18-1/pbk). 800 p. (2021). MSC: 46-01 47-01 PDF BibTeX XML Cite \textit{V. S. Pugachev} and \textit{I. N. Sinitsyn}, Lectures on functional analysis and applications (to appear). 2nd edition. Hackensack, NJ: World Scientific (2021; Zbl 07029832) Full Text: DOI
Cheung, Siu Wun; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria Constraint energy minimizing generalized multiscale finite element method for dual continuum model. (English) Zbl 07327465 Commun. Math. Sci. 18, No. 3, 663-685 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M12 76S05 76N10 65M70 65K10 PDF BibTeX XML Cite \textit{S. W. Cheung} et al., Commun. Math. Sci. 18, No. 3, 663--685 (2020; Zbl 07327465) Full Text: DOI
Giesselmann, Jan; Meyer, Fabian; Rohde, Christian An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws. (English) Zbl 07315492 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS) (ISBN 978-1-60133-023-9). AIMS Series on Applied Mathematics 10, 449-456 (2020). MSC: 35L65 35R60 65M15 65M60 65M70 PDF BibTeX XML Cite \textit{J. Giesselmann} et al., AIMS Ser. Appl. Math. 10, 449--456 (2020; Zbl 07315492)
Kwak, Yunsang; Park, Sang Mok; Lee, Jongho; Park, Junhong Rattle noise source localization through the time reversal of dispersive vibration signals on a road vehicle. (English) Zbl 07312391 Wave Motion 93, Article ID 102452, 11 p. (2020). MSC: 74 70 PDF BibTeX XML Cite \textit{Y. Kwak} et al., Wave Motion 93, Article ID 102452, 11 p. (2020; Zbl 07312391) Full Text: DOI
Zhang, Shun Primal-dual reduced basis methods for convex minimization variational problems: robust true solution a posteriori error certification and adaptive greedy algorithms. (English) Zbl 07303418 SIAM J. Sci. Comput. 42, No. 6, A3638-A3676 (2020). MSC: 65N30 65N15 65N35 65N50 65K10 PDF BibTeX XML Cite \textit{S. Zhang}, SIAM J. Sci. Comput. 42, No. 6, A3638--A3676 (2020; Zbl 07303418) Full Text: DOI
Moura, Rodrigo C.; Aman, Mansoor; Peiró, Joaquim; Sherwin, Spencer J. Spatial eigenanalysis of spectral/hp continuous Galerkin schemes and their stabilisation via DG-mimicking spectral vanishing viscosity for high Reynolds number flows. (English) Zbl 1453.76153 J. Comput. Phys. 406, Article ID 109112, 20 p. (2020). MSC: 76M22 76M10 PDF BibTeX XML Cite \textit{R. C. Moura} et al., J. Comput. Phys. 406, Article ID 109112, 20 p. (2020; Zbl 1453.76153) Full Text: DOI
Ambartsumyan, Ilona; Khattatov, Eldar; Wang, ChangQing; Yotov, Ivan Stochastic multiscale flux basis for Stokes-Darcy flows. (English) Zbl 1453.76177 J. Comput. Phys. 401, Article ID 109011, 20 p. (2020). MSC: 76M35 76M10 76S05 35R60 65C30 65N30 65N35 65N75 76D07 PDF BibTeX XML Cite \textit{I. Ambartsumyan} et al., J. Comput. Phys. 401, Article ID 109011, 20 p. (2020; Zbl 1453.76177) Full Text: DOI
Lee, D.; Palha, A. A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere. (English) Zbl 1453.86025 J. Comput. Phys. 401, Article ID 108993, 28 p. (2020). MSC: 86A10 65M60 76N15 76M10 PDF BibTeX XML Cite \textit{D. Lee} and \textit{A. Palha}, J. Comput. Phys. 401, Article ID 108993, 28 p. (2020; Zbl 1453.86025) Full Text: DOI
Djeridi, Bochra; Ghanem, Radouen; Sissaoui, Hocine Spectral element methods a priori and a posteriori error estimates for penalized unilateral obstacle problem. (English) Zbl 07299083 J. Sci. Comput. 85, No. 3, Paper No. 54, 34 p. (2020). MSC: 65M60 65M70 65M06 65M15 35A23 35R35 49J20 PDF BibTeX XML Cite \textit{B. Djeridi} et al., J. Sci. Comput. 85, No. 3, Paper No. 54, 34 p. (2020; Zbl 07299083) Full Text: DOI
Pasquetti, Richard Elliptic problems in curved domains using cubature points based triangular spectral elements and isoparametric mappings. (English) Zbl 07295450 J. Math. Study 53, No. 3, 237-246 (2020). MSC: 65N30 65N35 PDF BibTeX XML Cite \textit{R. Pasquetti}, J. Math. Study 53, No. 3, 237--246 (2020; Zbl 07295450) Full Text: DOI
Wendland, Holger; Künemund, Jens Solving partial differential equations on (evolving) surfaces with radial basis functions. (English) Zbl 1455.65184 Adv. Comput. Math. 46, No. 4, Paper No. 64, 37 p. (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M70 65M20 65N30 65N35 65N06 65M15 35K58 PDF BibTeX XML Cite \textit{H. Wendland} and \textit{J. Künemund}, Adv. Comput. Math. 46, No. 4, Paper No. 64, 37 p. (2020; Zbl 1455.65184) Full Text: DOI
García-Archilla, Bosco; Novo, Julia Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. (English) Zbl 1454.65115 Adv. Comput. Math. 46, No. 4, Paper No. 61, 33 p. (2020). MSC: 65M60 65M06 65N30 65M70 65M20 65L06 65M12 65M15 76D05 35Q30 PDF BibTeX XML Cite \textit{B. García-Archilla} and \textit{J. Novo}, Adv. Comput. Math. 46, No. 4, Paper No. 61, 33 p. (2020; Zbl 1454.65115) Full Text: DOI
Zheng, Xiangcheng; Ervin, Vincent J.; Wang, Hong Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data. (English) Zbl 1451.65209 Comput. Methods Appl. Math. 20, No. 3, 573-589 (2020). MSC: 65N30 35B65 41A10 33C45 PDF BibTeX XML Cite \textit{X. Zheng} et al., Comput. Methods Appl. Math. 20, No. 3, 573--589 (2020; Zbl 1451.65209) Full Text: DOI
Eisenträger, S.; Atroshchenko, E.; Makvandi, R. On the condition number of high order finite element methods: influence of \(p\)-refinement and mesh distortion. (English) Zbl 1455.74082 Comput. Math. Appl. 80, No. 11, 2289-2339 (2020). MSC: 74S05 74S22 74S25 74B05 65N30 65N50 PDF BibTeX XML Cite \textit{S. Eisenträger} et al., Comput. Math. Appl. 80, No. 11, 2289--2339 (2020; Zbl 1455.74082) Full Text: DOI
Moldovan, Ionuţ Dragoş; Cismaşiu, Ildi; De Freitas, João António Teixeira Unified hybrid-Trefftz finite element formulation for dynamic problems. (English) Zbl 1451.65151 Alves, Carlos (ed.) et al., Advances in Trefftz methods and their applications. Selected papers based on the presentations at the 9th conference on Trefftz methods and 5th conference on method of fundamental solutions, Lisbon, Portugal, July 29–31, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 23, 157-188 (2020). MSC: 65M60 65M38 35P05 65M06 65N06 65T50 44A10 42A38 35K99 35L99 PDF BibTeX XML Cite \textit{I. D. Moldovan} et al., SEMA SIMAI Springer Ser. 23, 157--188 (2020; Zbl 1451.65151) Full Text: DOI
Zhang, Jun; Wang, Jinrong; Zhou, Yong Convergence analysis of an efficient spectral element method for Stokes eigenvalue problem. (English) Zbl 1454.65177 Math. Methods Appl. Sci. 43, No. 10, 6454-6463 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 35P30 76D07 35B65 49J35 PDF BibTeX XML Cite \textit{J. Zhang} et al., Math. Methods Appl. Sci. 43, No. 10, 6454--6463 (2020; Zbl 1454.65177) Full Text: DOI
Chen, Zhen; Wu, Kailiang; Xiu, Dongbin Methods to recover unknown processes in partial differential equations using data. (English) Zbl 1455.65159 J. Sci. Comput. 85, No. 2, Paper No. 23, 22 p. (2020). Reviewer: Christian Clason (Graz) MSC: 65M32 65M60 65M70 65M06 65N30 65N35 65J22 35R30 PDF BibTeX XML Cite \textit{Z. Chen} et al., J. Sci. Comput. 85, No. 2, Paper No. 23, 22 p. (2020; Zbl 1455.65159) Full Text: DOI
Moayeri, M. M.; Rad, J. A.; Parand, K. Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: a numerical simulation study. (English) Zbl 1453.92078 Comput. Math. Appl. 80, No. 8, 1887-1927 (2020). MSC: 92C32 92B20 92B25 PDF BibTeX XML Cite \textit{M. M. Moayeri} et al., Comput. Math. Appl. 80, No. 8, 1887--1927 (2020; Zbl 1453.92078) Full Text: DOI
Romanò, Francesco; Türkbay, Tuǧçe; Kuhlmann, Hendrik C. Lagrangian chaos in steady three-dimensional lid-driven cavity flow. (English) Zbl 1453.76200 Chaos 30, No. 7, 073121, 27 p. (2020). MSC: 76R99 76D05 76M22 PDF BibTeX XML Cite \textit{F. Romanò} et al., Chaos 30, No. 7, 073121, 27 p. (2020; Zbl 1453.76200) Full Text: DOI
Wang, Hailu; Wu, Hua Local discontinuous Galerkin spectral element method for nonlinear reaction-diffusion equations. (Chinese. English summary) Zbl 07267249 J. Numer. Methods Comput. Appl. 41, No. 1, 1-18 (2020). MSC: 65M70 65M12 PDF BibTeX XML Cite \textit{H. Wang} and \textit{H. Wu}, J. Numer. Methods Comput. Appl. 41, No. 1, 1--18 (2020; Zbl 07267249)
Adetola, Jamal; Houedanou, Koffi Wilfrid; Ahounou, Bernardin Residual-based a posteriori error estimates for a conforming mixed finite element discretization of the Monge-Ampère equation. (English) Zbl 07261826 Aust. J. Math. Anal. Appl. 17, No. 2, Article No. 8, 12 p. (2020). MSC: 74S05 74S10 74S15 74S20 74S25 74S30 PDF BibTeX XML Cite \textit{J. Adetola} et al., Aust. J. Math. Anal. Appl. 17, No. 2, Article No. 8, 12 p. (2020; Zbl 07261826) Full Text: Link
He, Wenqiang; Qin, Guoliang; Lin, Jingxiang; Jia, Cheng A segregated spectral finite element method for the 2D transient incompressible Navier-Stokes equations. (English) Zbl 1443.65245 Comput. Math. Appl. 79, No. 2, 521-537 (2020). MSC: 65M70 65M60 PDF BibTeX XML Cite \textit{W. He} et al., Comput. Math. Appl. 79, No. 2, 521--537 (2020; Zbl 1443.65245) Full Text: DOI
Spiridonov, Alexander O.; Oktyabrskaya, Alina; Karchevskii, Evgenii M.; Nosich, Alexander I. Mathematical and numerical analysis of the generalized complex-frequency eigenvalue problem for two-dimensional optical microcavities. (English) Zbl 1452.65318 SIAM J. Appl. Math. 80, No. 4, 1977-1998 (2020). MSC: 65N25 65N35 65N38 65N80 78A60 35J05 PDF BibTeX XML Cite \textit{A. O. Spiridonov} et al., SIAM J. Appl. Math. 80, No. 4, 1977--1998 (2020; Zbl 1452.65318) Full Text: DOI
Yang, Yin; Kang, Sujuan; Vasil’ev, Vasiliy I. The Jacobi spectral collocation method for fractional integro-differential equations with non-smooth solutions. (English) Zbl 1448.65084 Electron Res. Arch. 28, No. 3, 1161-1189 (2020). MSC: 65L60 65L70 34A12 74S25 33C45 34A08 PDF BibTeX XML Cite \textit{Y. Yang} et al., Electron Res. Arch. 28, No. 3, 1161--1189 (2020; Zbl 1448.65084) Full Text: DOI
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa Application of spectral element method for solving Sobolev equations with error estimation. (English) Zbl 1452.65271 Appl. Numer. Math. 158, 439-462 (2020). MSC: 65M70 65M06 65M15 65M12 42C10 76M22 76M20 76S05 76N99 74F10 PDF BibTeX XML Cite \textit{M. Dehghan} et al., Appl. Numer. Math. 158, 439--462 (2020; Zbl 1452.65271) Full Text: DOI
Jia, Lueling; Li, Huiyuan; Zhang, Zhimin Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential. (English) Zbl 1452.65316 Appl. Numer. Math. 158, 54-84 (2020). MSC: 65N25 65N30 65N35 65N12 65N15 35J10 35P15 35B65 PDF BibTeX XML Cite \textit{L. Jia} et al., Appl. Numer. Math. 158, 54--84 (2020; Zbl 1452.65316) Full Text: DOI
Ortleb, Sigrun A comparative Fourier analysis of discontinuous Galerkin schemes for advection-diffusion with respect to BR1, BR2, and local discontinuous Galerkin diffusion discretization. (English) Zbl 1448.65171 Math. Methods Appl. Sci. 43, No. 13, 7841-7863 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M70 65M20 PDF BibTeX XML Cite \textit{S. Ortleb}, Math. Methods Appl. Sci. 43, No. 13, 7841--7863 (2020; Zbl 1448.65171) Full Text: DOI
Meng, Jian; Mei, Liquan A mixed virtual element method for the vibration problem of clamped Kirchhoff plate. (English) Zbl 07247289 Adv. Comput. Math. 46, No. 5, Paper No. 68, 18 p. (2020). MSC: 65N30 65N25 65N15 65N12 74K10 74H15 PDF BibTeX XML Cite \textit{J. Meng} and \textit{L. Mei}, Adv. Comput. Math. 46, No. 5, Paper No. 68, 18 p. (2020; Zbl 07247289) Full Text: DOI
Azevedo, Juarez. S.; Oliveira, Saulo P.; Rocha, Adson M. Spectral element approximation of functional integral equations. (English) Zbl 07246056 Electron. J. Math. Analysis Appl. 8, No. 2, 172-187 (2020). MSC: 45D05 45G10 46E35 65R20 PDF BibTeX XML Cite \textit{Juarez. S. Azevedo} et al., Electron. J. Math. Analysis Appl. 8, No. 2, 172--187 (2020; Zbl 07246056) Full Text: Link
Ren, Shixian; Tan, Ting; An, Jing An efficient spectral-Galerkin approximation based on dimension reduction scheme for transmission eigenvalues in polar geometries. (English) Zbl 1447.65124 Comput. Math. Appl. 80, No. 5, 940-955 (2020). MSC: 65N25 65N30 65N35 35J05 35J57 65F15 65N15 PDF BibTeX XML Cite \textit{S. Ren} et al., Comput. Math. Appl. 80, No. 5, 940--955 (2020; Zbl 1447.65124) Full Text: DOI
Nkemzi, Boniface; Jung, Michael The Fourier-finite-element method for Poisson’s equation in three-dimensional axisymmetric domains with edges: computing the edge flux intensity functions. (English) Zbl 1448.35117 J. Numer. Math. 28, No. 2, 75-98 (2020). MSC: 35J05 35J25 65N30 65N35 65N15 PDF BibTeX XML Cite \textit{B. Nkemzi} and \textit{M. Jung}, J. Numer. Math. 28, No. 2, 75--98 (2020; Zbl 1448.35117) Full Text: DOI
Gu, Zhendong Spectral collocation method for nonlinear Riemann-Liouville fractional differential equations. (English) Zbl 1452.65139 Appl. Numer. Math. 157, 654-669 (2020). MSC: 65L60 34A08 65L20 PDF BibTeX XML Cite \textit{Z. Gu}, Appl. Numer. Math. 157, 654--669 (2020; Zbl 1452.65139) Full Text: DOI
Hammad, Magda; Hafez, Ramy M.; Youssri, Youssri H.; Doha, Eid H. Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains. (English) Zbl 1446.65126 Appl. Numer. Math. 157, 88-109 (2020). MSC: 65M70 65M60 65D05 35L02 33C45 PDF BibTeX XML Cite \textit{M. Hammad} et al., Appl. Numer. Math. 157, 88--109 (2020; Zbl 1446.65126) Full Text: DOI
Winters, Andrew R.; Czernik, Christof; Schily, Moritz B.; Gassner, Gregor J. Entropy stable numerical approximations for the isothermal and polytropic Euler equations. (English) Zbl 1446.65134 BIT 60, No. 3, 791-824 (2020). MSC: 65M70 65M12 35L35 35L60 35Q31 PDF BibTeX XML Cite \textit{A. R. Winters} et al., BIT 60, No. 3, 791--824 (2020; Zbl 1446.65134) Full Text: DOI
Giesselmann, Jan; Meyer, Fabian; Rohde, Christian A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. (English) Zbl 1446.65111 BIT 60, No. 3, 619-649 (2020). MSC: 65M60 65L06 65N30 65M70 65M50 65M15 35L65 35R60 62F15 PDF BibTeX XML Cite \textit{J. Giesselmann} et al., BIT 60, No. 3, 619--649 (2020; Zbl 1446.65111) Full Text: DOI
Li, Xiaolin; Li, Shuling A complex variable boundary point interpolation method for the nonlinear Signorini problem. (English) Zbl 1446.65187 Comput. Math. Appl. 79, No. 12, 3297-3309 (2020). MSC: 65N35 65N38 65D05 74M10 74M15 74B20 35Q74 74S15 PDF BibTeX XML Cite \textit{X. Li} and \textit{S. Li}, Comput. Math. Appl. 79, No. 12, 3297--3309 (2020; Zbl 1446.65187) Full Text: DOI
Zhang, Hui; Jia, Junqing; Jiang, Xiaoyun An optimal error estimate for the two-dimensional nonlinear time fractional advection-diffusion equation with smooth and non-smooth solutions. (English) Zbl 1447.65096 Comput. Math. Appl. 79, No. 10, 2819-2831 (2020). MSC: 65M60 65M22 65M70 65N30 65N35 65M12 65M15 35R11 26A33 PDF BibTeX XML Cite \textit{H. Zhang} et al., Comput. Math. Appl. 79, No. 10, 2819--2831 (2020; Zbl 1447.65096) Full Text: DOI
Liu, Xing; Deng, Weihua Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise. (English) Zbl 07229474 J. Sci. Comput. 84, No. 1, Paper No. 21, 28 p. (2020). MSC: 65C30 60H15 65M60 65N30 35R11 PDF BibTeX XML Cite \textit{X. Liu} and \textit{W. Deng}, J. Sci. Comput. 84, No. 1, Paper No. 21, 28 p. (2020; Zbl 07229474) Full Text: DOI
Safari, Farzaneh; Azarsa, Pouya Backward substitution method based on Müntz polynomials for solving the nonlinear space fractional partial differential equations. (English) Zbl 07228641 Math. Methods Appl. Sci. 43, No. 2, 847-864 (2020). MSC: 65 26A33 35M10 41A10 65M70 65L60 PDF BibTeX XML Cite \textit{F. Safari} and \textit{P. Azarsa}, Math. Methods Appl. Sci. 43, No. 2, 847--864 (2020; Zbl 07228641) Full Text: DOI
Li, Shan; Li, Qiao-ling; Wang, Zhong-qing Sobolev orthogonal Legendre rational spectral methods for problems on the half line. (English) Zbl 1451.65211 Math. Methods Appl. Sci. 43, No. 1, 255-268 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N30 41A20 35J25 65N15 PDF BibTeX XML Cite \textit{S. Li} et al., Math. Methods Appl. Sci. 43, No. 1, 255--268 (2020; Zbl 1451.65211) Full Text: DOI
Du, Qiang; Feng, Xiaobing The phase field method for geometric moving interfaces and their numerical approximations. (English) Zbl 1455.35276 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part I. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 21, 425-508 (2020). MSC: 35Qxx 65M06 65M60 65M70 65M20 65M12 65M15 65Z05 35B25 35K20 35K35 74A50 74N20 76T30 80A22 82C26 92C17 92C37 92C55 PDF BibTeX XML Cite \textit{Q. Du} and \textit{X. Feng}, Handb. Numer. Anal. 21, 425--508 (2020; Zbl 1455.35276) Full Text: DOI
Oh, Minah Multigrid in \(\boldsymbol H(\text{div})\) on axisymmetric domains. (English) Zbl 1442.65431 J. Math. Anal. Appl. 490, No. 1, Article ID 124209, 26 p. (2020). MSC: 65N55 65N30 65N35 65N12 78M10 35Q60 PDF BibTeX XML Cite \textit{M. Oh}, J. Math. Anal. Appl. 490, No. 1, Article ID 124209, 26 p. (2020; Zbl 1442.65431) Full Text: DOI
Meng, Jian; Zhang, Yongchao; Mei, Liquan A virtual element method for the Laplacian eigenvalue problem in mixed form. (English) Zbl 1442.65388 Appl. Numer. Math. 156, 1-13 (2020). MSC: 65N30 65N25 65N35 35P15 PDF BibTeX XML Cite \textit{J. Meng} et al., Appl. Numer. Math. 156, 1--13 (2020; Zbl 1442.65388) Full Text: DOI
Tour, Geraldine; Thakoor, Nawdha; Ma, Jingtang; Tangman, Désiré Yannick A spectral element method for option pricing under regime-switching with jumps. (English) Zbl 1442.65463 J. Sci. Comput. 83, No. 3, Paper No. 61, 31 p. (2020). MSC: 65R20 91G20 91G60 91G80 PDF BibTeX XML Cite \textit{G. Tour} et al., J. Sci. Comput. 83, No. 3, Paper No. 61, 31 p. (2020; Zbl 1442.65463) Full Text: DOI
Karaa, Samir; Pani, Amiya K. Mixed FEM for time-fractional diffusion problems with time-dependent coefficients. (English) Zbl 1442.65261 J. Sci. Comput. 83, No. 3, Paper No. 51, 22 p. (2020). MSC: 65M60 65N30 65M06 65M12 65M15 65M70 35S10 35B45 26A33 35R11 PDF BibTeX XML Cite \textit{S. Karaa} and \textit{A. K. Pani}, J. Sci. Comput. 83, No. 3, Paper No. 51, 22 p. (2020; Zbl 1442.65261) Full Text: DOI
Kim, Hyunju; Kim, Keon Ho; Jang, Bongsoo Shifted Jacobi spectral-Galerkin method for solving fractional order initial value problems. (English) Zbl 1441.65067 J. Comput. Appl. Math. 380, Article ID 112988, 19 p. (2020). MSC: 65L60 65L05 65R20 34A08 26A33 PDF BibTeX XML Cite \textit{H. Kim} et al., J. Comput. Appl. Math. 380, Article ID 112988, 19 p. (2020; Zbl 1441.65067) Full Text: DOI
Meng, Jian; Mei, Liquan Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering. (English) Zbl 07208691 Appl. Math. Comput. 381, Article ID 125307, 18 p. (2020). MSC: 65N30 65N25 74K10 PDF BibTeX XML Cite \textit{J. Meng} and \textit{L. Mei}, Appl. Math. Comput. 381, Article ID 125307, 18 p. (2020; Zbl 07208691) Full Text: DOI
Meng, Jian; Mei, Liquan A linear virtual element method for the Kirchhoff plate buckling problem. (English) Zbl 1447.65123 Appl. Math. Lett. 103, Article ID 106188, 8 p. (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N25 65N30 74K20 35Q74 PDF BibTeX XML Cite \textit{J. Meng} and \textit{L. Mei}, Appl. Math. Lett. 103, Article ID 106188, 8 p. (2020; Zbl 1447.65123) 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
Li, Xianjuan; Mao, Zhiping; Wang, Nan; Song, Fangying; Wang, Hong; Karniadakis, George Em A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation. (English) Zbl 1442.65144 Comput. Methods Appl. Mech. Eng. 366, Article ID 113053, 24 p. (2020). MSC: 65L60 34A08 PDF BibTeX XML Cite \textit{X. Li} et al., Comput. Methods Appl. Mech. Eng. 366, Article ID 113053, 24 p. (2020; Zbl 1442.65144) Full Text: DOI
Babuška, Ivo; Lipton, Robert; Sinz, Paul; Stuebner, Michael Multiscale-spectral GFEM and optimal oversampling. (English) Zbl 1442.65402 Comput. Methods Appl. Mech. Eng. 364, Article ID 112960, 28 p. (2020). MSC: 65N35 65N30 PDF BibTeX XML Cite \textit{I. Babuška} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112960, 28 p. (2020; Zbl 1442.65402) Full Text: DOI
Harris, Isaac Approximation of the zero-index transmission eigenvalues with a conductive boundary and parameter estimation. (English) Zbl 1447.65145 J. Sci. Comput. 82, No. 3, Paper No. 80, 19 p. (2020). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N30 65N15 35P25 35J30 65N35 PDF BibTeX XML Cite \textit{I. Harris}, J. Sci. Comput. 82, No. 3, Paper No. 80, 19 p. (2020; Zbl 1447.65145) Full Text: DOI
Hu, Ruize; Oskay, Caglar Spectral variational multiscale model for transient dynamics of phononic crystals and acoustic metamaterials. (English) Zbl 1441.74093 Comput. Methods Appl. Mech. Eng. 359, Article ID 112761, 26 p. (2020). MSC: 74J05 74E30 PDF BibTeX XML Cite \textit{R. Hu} and \textit{C. Oskay}, Comput. Methods Appl. Mech. Eng. 359, Article ID 112761, 26 p. (2020; Zbl 1441.74093) Full Text: DOI
Kubínová, Marie; Pultarová, Ivana Block preconditioning of stochastic Galerkin problems: new two-sided guaranteed spectral bounds. (English) Zbl 1447.65151 SIAM/ASA J. Uncertain. Quantif. 8, 88-113 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N22 65C30 65F08 65F10 PDF BibTeX XML Cite \textit{M. Kubínová} and \textit{I. Pultarová}, SIAM/ASA J. Uncertain. Quantif. 8, 88--113 (2020; Zbl 1447.65151) Full Text: DOI
Xie, Ziqing; Zhang, Rui; Wang, Bo; Wang, Li-Lian An efficient iterative method for solving multiple scattering in locally inhomogeneous media. (English) Zbl 1441.74098 Comput. Methods Appl. Mech. Eng. 358, Article ID 112642, 26 p. (2020). MSC: 74J20 PDF BibTeX XML Cite \textit{Z. Xie} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112642, 26 p. (2020; Zbl 1441.74098) Full Text: DOI
Yan, Fengna; Xu, Yan Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation. (English) Zbl 1436.65145 J. Comput. Appl. Math. 376, Article ID 112857, 23 p. (2020). MSC: 65M60 65M70 65M12 65M15 35Q35 PDF BibTeX XML Cite \textit{F. Yan} and \textit{Y. Xu}, J. Comput. Appl. Math. 376, Article ID 112857, 23 p. (2020; Zbl 1436.65145) Full Text: DOI
Xiao, Wenqiang; Gong, Bo; Sun, Jiguang; Zhang, Zhimin A new finite element approach for the Dirichlet eigenvalue problem. (English) Zbl 07187417 Appl. Math. Lett. 105, Article ID 106295, 5 p. (2020). MSC: 65 47 PDF BibTeX XML Cite \textit{W. Xiao} et al., Appl. Math. Lett. 105, Article ID 106295, 5 p. (2020; Zbl 07187417) Full Text: DOI
Duczek, S.; Saputra, A. A.; Gravenkamp, Hauke High order transition elements: the \(x\boldsymbol{N}y\)-element concept. I: Statics. (English) Zbl 1439.74408 Comput. Methods Appl. Mech. Eng. 362, Article ID 112833, 50 p. (2020). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{S. Duczek} et al., Comput. Methods Appl. Mech. Eng. 362, Article ID 112833, 50 p. (2020; Zbl 1439.74408) Full Text: DOI
Liu, Minghui; Wu, Boying; Meng, Xiong Optimal error estimates of the discontinuous Galerkin method with upwind-biased fluxes for 2D linear variable coefficients hyperbolic equations. (English) Zbl 1435.65162 J. Sci. Comput. 83, No. 1, Paper No. 9, 19 p. (2020). MSC: 65M60 65M15 65L06 65M12 65M70 35F05 PDF BibTeX XML Cite \textit{M. Liu} et al., J. Sci. Comput. 83, No. 1, Paper No. 9, 19 p. (2020; Zbl 1435.65162) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. (English) Zbl 1435.65170 J. Comput. Appl. Math. 374, Article ID 112739, 16 p. (2020). MSC: 65M70 65M60 65M06 65M12 65M15 35R09 45K05 33C45 26A33 35R11 PDF BibTeX XML Cite \textit{M. Abbaszadeh} et al., J. Comput. Appl. Math. 374, Article ID 112739, 16 p. (2020; Zbl 1435.65170) Full Text: DOI
Guo, Ruihan; Xu, Yan High order numerical simulations for the binary fluid-surfactant system using the discontinuous Galerkin and spectral deferred correction methods. (English) Zbl 1435.65158 SIAM J. Sci. Comput. 42, No. 2, B353-B378 (2020). MSC: 65M60 65M70 35L75 35G25 76D45 65M55 PDF BibTeX XML Cite \textit{R. Guo} and \textit{Y. Xu}, SIAM J. Sci. Comput. 42, No. 2, B353--B378 (2020; Zbl 1435.65158) Full Text: DOI
Khan, Arbaz Spectral method and spectral element method for three dimensional linear elliptic system: analysis and application. (English) Zbl 1440.65249 J. Sci. Comput. 82, No. 2, Paper No. 40, 32 p. (2020). MSC: 65N35 65N30 65N15 65F08 65F35 65Y05 35J25 26A33 35R11 74B10 35Q74 PDF BibTeX XML Cite \textit{A. Khan}, J. Sci. Comput. 82, No. 2, Paper No. 40, 32 p. (2020; Zbl 1440.65249) Full Text: DOI
Su, Wei; Wang, Peng; Zhang, Yonghao; Wu, Lei Implicit discontinuous Galerkin method for the Boltzmann equation. (English) Zbl 1434.65191 J. Sci. Comput. 82, No. 2, Paper No. 39, 35 p. (2020). MSC: 65M60 65M70 65M06 76P05 76L05 76K05 76M10 76M22 76M20 PDF BibTeX XML Cite \textit{W. Su} et al., J. Sci. Comput. 82, No. 2, Paper No. 39, 35 p. (2020; Zbl 1434.65191) Full Text: DOI
Yu, Zhe; Wu, Boying; Sun, Jiebao; Liu, Wenjie A generalized-Jacobi-function spectral method for space-time fractional reaction-diffusion equations with viscosity terms. (English) Zbl 1440.65152 Appl. Numer. Math. 152, 355-378 (2020). MSC: 65M70 65M60 33C45 65M15 65M12 65F50 26A33 35R11 35A15 35A01 35A02 PDF BibTeX XML Cite \textit{Z. Yu} et al., Appl. Numer. Math. 152, 355--378 (2020; Zbl 1440.65152) Full Text: DOI
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing A posteriori error estimates of \(hp\) spectral element methods for optimal control problems with \(L^2\)-norm state constraint. (English) Zbl 07171736 Numer. Algorithms 83, No. 3, 1145-1169 (2020). MSC: 65 PDF BibTeX XML Cite \textit{X. Lin} et al., Numer. Algorithms 83, No. 3, 1145--1169 (2020; Zbl 07171736) Full Text: DOI
Mokhtary, P.; Moghaddam, B. P.; Lopes, A. M.; Machado, J. A. Tenreiro A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay. (English) Zbl 1436.65215 Numer. Algorithms 83, No. 3, 987-1006 (2020). MSC: 65R20 45D05 65L60 65F22 PDF BibTeX XML Cite \textit{P. Mokhtary} et al., Numer. Algorithms 83, No. 3, 987--1006 (2020; Zbl 1436.65215) Full Text: DOI
Yang, Yidu; Han, Jiayu; Bi, Hai; Li, Hao; Zhang, Yu Mixed methods for the elastic transmission eigenvalue problem. (English) Zbl 1447.65166 Appl. Math. Comput. 374, Article ID 125081, 15 p. (2020). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N30 65N25 74J05 PDF BibTeX XML Cite \textit{Y. Yang} et al., Appl. Math. Comput. 374, Article ID 125081, 15 p. (2020; Zbl 1447.65166) Full Text: DOI
Xue, Dandan; Hou, Yanren Numerical analysis of a second order algorithm for a non-stationary Navier-Stokes/Darcy model. (English) Zbl 1440.65236 J. Comput. Appl. Math. 369, Article ID 112579, 26 p. (2020). MSC: 65N30 65M70 65N15 65M12 76D05 76S05 76M10 65B05 PDF BibTeX XML Cite \textit{D. Xue} and \textit{Y. Hou}, J. Comput. Appl. Math. 369, Article ID 112579, 26 p. (2020; Zbl 1440.65236) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow. (English) Zbl 1433.65233 J. Comput. Appl. Math. 368, Article ID 112453, 17 p. (2020). MSC: 65M70 65M06 65D32 86A05 86-10 76M99 76T30 PDF BibTeX XML Cite \textit{M. Abbaszadeh} et al., J. Comput. Appl. Math. 368, Article ID 112453, 17 p. (2020; Zbl 1433.65233) Full Text: DOI
Xu, Fei; Huang, Qiumei Local and parallel multigrid method for nonlinear eigenvalue problems. (English) Zbl 1439.35155 J. Sci. Comput. 82, No. 1, Paper No. 20, 23 p. (2020). MSC: 35J25 35P30 65N30 PDF BibTeX XML Cite \textit{F. Xu} and \textit{Q. Huang}, J. Sci. Comput. 82, No. 1, Paper No. 20, 23 p. (2020; Zbl 1439.35155) Full Text: DOI
Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions. (English) Zbl 1433.65247 J. Sci. Comput. 82, No. 1, Paper No. 13, 27 p. (2020). MSC: 65M70 65M15 65M06 65M12 65Q10 34K37 65M60 35R11 PDF BibTeX XML Cite \textit{M. A. Zaky} et al., J. Sci. Comput. 82, No. 1, Paper No. 13, 27 p. (2020; Zbl 1433.65247) Full Text: DOI
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. (English) Zbl 1448.65157 SIAM J. Numer. Anal. 58, No. 1, 410-429 (2020). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 65M60 65M12 35Q30 65M15 65M20 76B75 65N30 65M70 PDF BibTeX XML Cite \textit{B. García-Archilla} et al., SIAM J. Numer. Anal. 58, No. 1, 410--429 (2020; Zbl 1448.65157) Full Text: DOI
Zhang, Xiao-yong A new strategy for the numerical solution of nonlinear Volterra integral equations with vanishing delays. (English) Zbl 1433.65361 Appl. Math. Comput. 365, Article ID 124608, 19 p. (2020). MSC: 65R20 45D05 45G10 65L60 65L70 PDF BibTeX XML Cite \textit{X.-y. Zhang}, Appl. Math. Comput. 365, Article ID 124608, 19 p. (2020; Zbl 1433.65361) Full Text: DOI
Xu, Yang; Zhang, Yanming; Zhao, Jingjun General linear and spectral Galerkin methods for the Riesz space fractional diffusion equation. (English) Zbl 1433.65142 Appl. Math. Comput. 364, Article ID 124664, 12 p. (2020). MSC: 65L20 65L60 PDF BibTeX XML Cite \textit{Y. Xu} et al., Appl. Math. Comput. 364, Article ID 124664, 12 p. (2020; Zbl 1433.65142) Full Text: DOI
Erfani, S.; Babolian, E.; Javadi, S. Error estimates of generalized spectral iterative methods with accurate convergence rates for solving systems of fractional two-point boundary value problems. (English) Zbl 1433.65146 Appl. Math. Comput. 364, Article ID 124638, 15 p. (2020). MSC: 65L60 65L70 65R20 PDF BibTeX XML Cite \textit{S. Erfani} et al., Appl. Math. Comput. 364, Article ID 124638, 15 p. (2020; Zbl 1433.65146) Full Text: DOI
Abdelwahed, Mohamed; Chorfi, Nejmeddine On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients. (English) Zbl 1435.35146 Adv. Nonlinear Anal. 9, 1145-1160 (2020). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J25 35K05 65M70 PDF BibTeX XML Cite \textit{M. Abdelwahed} and \textit{N. Chorfi}, Adv. Nonlinear Anal. 9, 1145--1160 (2020; Zbl 1435.35146) Full Text: DOI
Wei, Yichen; Sun, Tao; Yi, Lijun An \(hp\)-version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays. (English) Zbl 1427.65138 J. Comput. Appl. Math. 364, Article ID 112348, 21 p. (2020). MSC: 65L60 65M70 65L05 65L70 PDF BibTeX XML Cite \textit{Y. Wei} et al., J. Comput. Appl. Math. 364, Article ID 112348, 21 p. (2020; Zbl 1427.65138) Full Text: DOI
Li, Lili; Li, Dongfang Exact solutions and numerical study of time fractional Burgers’ equations. (English) Zbl 1427.35330 Appl. Math. Lett. 100, Article ID 106011, 7 p. (2020). MSC: 35R11 35Q53 65M60 65M70 PDF BibTeX XML Cite \textit{L. Li} and \textit{D. Li}, Appl. Math. Lett. 100, Article ID 106011, 7 p. (2020; Zbl 1427.35330) Full Text: DOI
Cho, Kanghun; Moon, Minam Multiscale hybridizable discontinuous Galerkin method for elliptic problems in perforated domains. (English) Zbl 1428.65079 J. Comput. Appl. Math. 365, Article ID 112346, 13 p. (2020). MSC: 65N30 35J15 65N35 PDF BibTeX XML Cite \textit{K. Cho} and \textit{M. Moon}, J. Comput. Appl. Math. 365, Article ID 112346, 13 p. (2020; Zbl 1428.65079) Full Text: DOI
Li, Shucai; Wang, Jing; Li, Liping; Shi, Shaoshuai; Zhou, Zongqing The theoretical and numerical analysis of water inrush through filling structures. (English) Zbl 07316692 Math. Comput. Simul. 162, 115-134 (2019). MSC: 76D 76T 76M PDF BibTeX XML Cite \textit{S. Li} et al., Math. Comput. Simul. 162, 115--134 (2019; Zbl 07316692) Full Text: DOI
Behroozifar, Mahmoud; Ahmadpour, Farkhondeh A study on spectral methods for linear and nonlinear fractional differential equations. (English) Zbl 1453.65189 Int. J. Comput. Sci. Math. 10, No. 6, 545-556 (2019). MSC: 65L60 34A08 PDF BibTeX XML Cite \textit{M. Behroozifar} and \textit{F. Ahmadpour}, Int. J. Comput. Sci. Math. 10, No. 6, 545--556 (2019; Zbl 1453.65189) Full Text: DOI
Marcon, Julian; Kopriva, David A.; Sherwin, Spencer J.; Peiró, Joaquim A high resolution PDE approach to quadrilateral mesh generation. (English) Zbl 1453.65045 J. Comput. Phys. 399, Article ID 108918, 17 p. (2019). MSC: 65D18 65M50 65N50 65N30 PDF BibTeX XML Cite \textit{J. Marcon} et al., J. Comput. Phys. 399, Article ID 108918, 17 p. (2019; Zbl 1453.65045) Full Text: DOI
Huismann, Immo; Stiller, Jörg; Fröhlich, Jochen Scaling to the stars – a linearly scaling elliptic solver for \(p\)-multigrid. (English) Zbl 1453.76152 J. Comput. Phys. 398, Article ID 108868, 21 p. (2019). MSC: 76M22 65N35 65N30 35J05 65N55 65Y05 PDF BibTeX XML Cite \textit{I. Huismann} et al., J. Comput. Phys. 398, Article ID 108868, 21 p. (2019; Zbl 1453.76152) Full Text: DOI
Hou, Dianming; Azaiez, Mejdi; Xu, Chuanju A variant of scalar auxiliary variable approaches for gradient flows. (English) Zbl 1452.65197 J. Comput. Phys. 395, 307-332 (2019). MSC: 65M12 65M60 PDF BibTeX XML Cite \textit{D. Hou} et al., J. Comput. Phys. 395, 307--332 (2019; Zbl 1452.65197) Full Text: DOI
Li, Xiaoxu; Chen, Huajie A discontinuous Galerkin scheme for full-potential electronic structure calculations. (English) Zbl 1451.65201 J. Comput. Phys. 385, 33-50 (2019). MSC: 65N30 35P05 81V10 PDF BibTeX XML Cite \textit{X. Li} and \textit{H. Chen}, J. Comput. Phys. 385, 33--50 (2019; Zbl 1451.65201) Full Text: DOI
Renac, Florent Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows. (English) Zbl 1451.76073 J. Comput. Phys. 382, 1-26 (2019). MSC: 76M10 76M22 65M60 65M70 76T10 65M12 35L45 PDF BibTeX XML Cite \textit{F. Renac}, J. Comput. Phys. 382, 1--26 (2019; Zbl 1451.76073) Full Text: DOI