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: 35J 65 65R 65N 45E PDF BibTeX XML Cite \textit{H. Cai} and \textit{Q. An}, Appl. Numer. Math. 163, 43--56 (2021; Zbl 07316835) Full Text: DOI
Hong, Youngjoon; Nicholls, David A rigorous numerical analysis of the transformed field expansion method for diffraction by periodic, layered structures. (English) Zbl 07314378 SIAM J. Numer. Anal. 59, No. 1, 456-476 (2021). MSC: 65N35 78A45 PDF BibTeX XML Cite \textit{Y. Hong} and \textit{D. Nicholls}, SIAM J. Numer. Anal. 59, No. 1, 456--476 (2021; Zbl 07314378) Full Text: DOI
Novo, Julia; Rubino, Samuele Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows. (English) Zbl 07314374 SIAM J. Numer. Anal. 59, No. 1, 334-369 (2021). MSC: 35Q30 65M12 65M15 65M20 65M60 65M70 76B75 PDF BibTeX XML Cite \textit{J. Novo} and \textit{S. Rubino}, SIAM J. Numer. Anal. 59, No. 1, 334--369 (2021; Zbl 07314374) Full Text: DOI
Febrer-Nafría, Míriam; Pallarès-López, Roger; Fregly, Benjamin J.; Font-Llagunes, Josep M. Prediction of three-dimensional crutch walking patterns using a torque-driven model. (English) Zbl 07314298 Multibody Syst. Dyn. 51, No. 1, 1-19 (2021). MSC: 70E55 PDF BibTeX XML Cite \textit{M. Febrer-Nafría} et al., Multibody Syst. Dyn. 51, No. 1, 1--19 (2021; Zbl 07314298) Full Text: DOI
Bona, Jerry L.; Durán, Angel; Mitsotakis, Dimitrios Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations. (English) Zbl 07314158 Discrete Contin. Dyn. Syst. 41, No. 1, 87-111 (2021). MSC: 76B55 76B25 65N35 PDF BibTeX XML Cite \textit{J. L. Bona} et al., Discrete Contin. Dyn. Syst. 41, No. 1, 87--111 (2021; Zbl 07314158) Full Text: DOI
Erfani, Shervan; Babolian, Esmail; Javadi, Shahnam New fractional pseudospectral methods with accurate convergence rates for fractional differential equations. (English) Zbl 07311978 ETNA, Electron. Trans. Numer. Anal. 54, 150-175 (2021). MSC: 65 26A33 41A05 65M06 65M12 65L60 PDF BibTeX XML Cite \textit{S. Erfani} et al., ETNA, Electron. Trans. Numer. Anal. 54, 150--175 (2021; Zbl 07311978) Full Text: DOI Link
Hao, Zhaopeng; Zhang, Zhongqiang Fast spectral Petrov-Galerkin method for fractional elliptic equations. (English) Zbl 07311194 Appl. Numer. Math. 162, 318-330 (2021). MSC: 65N35 65N30 65N12 35B65 35A01 35A02 35R11 PDF BibTeX XML Cite \textit{Z. Hao} and \textit{Z. Zhang}, Appl. Numer. Math. 162, 318--330 (2021; Zbl 07311194) Full Text: DOI
Ghosh, Surath; Kundu, Snehasis; Kumar, Sunil; Mahmoud, Emad E. Spectral approximation methods for non equilibrium transport in turbulent channel flows using fADE. (English) Zbl 07311178 Appl. Numer. Math. 162, 53-66 (2021). MSC: 65 33C 41A 65R PDF BibTeX XML Cite \textit{S. Ghosh} et al., Appl. Numer. Math. 162, 53--66 (2021; Zbl 07311178) Full Text: DOI
Aslan, Ersin; Kürkçü, Ömür Kıvanç; Sezer, Mehmet A fast numerical method for fractional partial integro-differential equations with spatial-time delays. (English) Zbl 07310832 Appl. Numer. Math. 161, 525-539 (2021). MSC: 65 PDF BibTeX XML Cite \textit{E. Aslan} et al., Appl. Numer. Math. 161, 525--539 (2021; Zbl 07310832) Full Text: DOI
Dehbozorgi, Raziyeh; Nedaiasl, Khadijeh Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: an hp-version collocation approach. (English) Zbl 07310808 Appl. Numer. Math. 161, 111-136 (2021). MSC: 45D05 65L60 65L70 PDF BibTeX XML Cite \textit{R. Dehbozorgi} and \textit{K. Nedaiasl}, Appl. Numer. Math. 161, 111--136 (2021; Zbl 07310808) Full Text: DOI
Rauch, Reuben; Trummer, Manfred R.; Williams, J. F. A spectral collocation method for mixed functional differential equations. (English) Zbl 07310807 Appl. Numer. Math. 161, 101-110 (2021). MSC: 65M 65L 65D 65G PDF BibTeX XML Cite \textit{R. Rauch} et al., Appl. Numer. Math. 161, 101--110 (2021; Zbl 07310807) Full Text: DOI
Zaky, Mahmoud A.; Ameen, Ibrahem G.; Elkot, Nermeen A.; Doha, Eid H. A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis. (English) Zbl 07310802 Appl. Numer. Math. 161, 27-45 (2021). MSC: 65R 45D PDF BibTeX XML Cite \textit{M. A. Zaky} et al., Appl. Numer. Math. 161, 27--45 (2021; Zbl 07310802) Full Text: DOI
Liu, Jun; Zhu, Chen; Chen, Yanping; Fu, Hongfei A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations. (English) Zbl 07310778 Appl. Numer. Math. 160, 331-348 (2021). MSC: 35K 35R 65M PDF BibTeX XML Cite \textit{J. Liu} et al., Appl. Numer. Math. 160, 331--348 (2021; Zbl 07310778) Full Text: DOI
Jong, KumSong; Choi, HuiChol; Jang, KyongJun; Pak, SunAe A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method. (English) Zbl 07310777 Appl. Numer. Math. 160, 313-330 (2021). MSC: 65L PDF BibTeX XML Cite \textit{K. Jong} et al., Appl. Numer. Math. 160, 313--330 (2021; Zbl 07310777) Full Text: DOI
Yang, Yin; Tang, Zhuyan Mapped spectral collocation methods for Volterra integral equations with noncompact kernels. (English) Zbl 07310768 Appl. Numer. Math. 160, 166-177 (2021). MSC: 45D 65R 45E PDF BibTeX XML Cite \textit{Y. Yang} and \textit{Z. Tang}, Appl. Numer. Math. 160, 166--177 (2021; Zbl 07310768) Full Text: DOI
Banei, Siamak; Shanazari, Kamal On the convergence analysis and stability of the RBF-adaptive method for the forward-backward heat problem in 2D. (English) Zbl 07310758 Appl. Numer. Math. 159, 297-310 (2021). MSC: 35R 34A PDF BibTeX XML Cite \textit{S. Banei} and \textit{K. Shanazari}, Appl. Numer. Math. 159, 297--310 (2021; Zbl 07310758) Full Text: DOI
Giesl, Peter; Hafstein, Sigurdur; Mehrabinezhad, Iman Computation and verification of contraction metrics for exponentially stable equilibria. (English) Zbl 07309633 J. Comput. Appl. Math. 390, Article ID 113332, 22 p. (2021). MSC: 65N35 65N15 65D12 37B25 34D20 PDF BibTeX XML Cite \textit{P. Giesl} et al., J. Comput. Appl. Math. 390, Article ID 113332, 22 p. (2021; Zbl 07309633) Full Text: DOI
Arezoomandan, Mahdieh; Soheili, Ali R. Spectral collocation method for stochastic partial differential equations with fractional Brownian motion. (English) Zbl 07309622 J. Comput. Appl. Math. 389, Article ID 113369, 19 p. (2021). MSC: 65C30 60H35 60H15 PDF BibTeX XML Cite \textit{M. Arezoomandan} and \textit{A. R. Soheili}, J. Comput. Appl. Math. 389, Article ID 113369, 19 p. (2021; Zbl 07309622) Full Text: DOI
Volkwein, Stefan Book review of: Z. Luo and G. Chen, Proper orthogonal decomposition methods for partial differential equations. (English) Zbl 07308569 SIAM Rev. 63, No. 1, 242-244 (2021). MSC: 00A17 65-02 65M50 65M70 PDF BibTeX XML Cite \textit{S. Volkwein}, SIAM Rev. 63, No. 1, 242--244 (2021; Zbl 07308569)
Yue, Xingxing; Wang, Fajie; Li, Po-Wei; Fan, Chia-Ming Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries. (English) Zbl 07308032 Comput. Math. Appl. 84, 128-143 (2021). MSC: 65 76 PDF BibTeX XML Cite \textit{X. Yue} et al., Comput. Math. Appl. 84, 128--143 (2021; Zbl 07308032) Full Text: DOI
Yang, Xuehua; Zhang, Haixiang; Tang, Jie The OSC solver for the fourth-order sub-diffusion equation with weakly singular solutions. (English) Zbl 07308000 Comput. Math. Appl. 82, 1-12 (2021). MSC: 74 76 PDF BibTeX XML Cite \textit{X. Yang} et al., Comput. Math. Appl. 82, 1--12 (2021; Zbl 07308000) Full Text: DOI
Hu, Rentian; Edwards, Thomas K.; Smith, Leslie M.; Stechmann, Samuel N. Initial investigations of precipitating quasi-geostrophic turbulence with phase changes. (English) Zbl 07307667 Res. Math. Sci. 8, No. 1, Paper No. 6, 25 p. (2021). MSC: 65M70 65N35 65L06 35M10 35J60 86A05 86A10 76T10 76F65 86-08 35Q86 PDF BibTeX XML Cite \textit{R. Hu} et al., Res. Math. Sci. 8, No. 1, Paper No. 6, 25 p. (2021; Zbl 07307667) Full Text: DOI
Yang, Changqing; Hou, Jianhua Jacobi spectral approximation for boundary value problems of nonlinear fractional pantograph differential equations. (English) Zbl 07307381 Numer. Algorithms 86, No. 3, 1089-1108 (2021). MSC: 65L03 34K37 45D05 65R20 PDF BibTeX XML Cite \textit{C. Yang} and \textit{J. Hou}, Numer. Algorithms 86, No. 3, 1089--1108 (2021; Zbl 07307381) Full Text: DOI
Chen, Hongbin; Sheng, Changtao; Wang, Li-Lian On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. (English) Zbl 07307158 Appl. Math. Lett. 113, Article ID 106864, 9 p. (2021). MSC: 65L60 65F35 15A12 34K37 PDF BibTeX XML Cite \textit{H. Chen} et al., Appl. Math. Lett. 113, Article ID 106864, 9 p. (2021; Zbl 07307158) Full Text: DOI
Heningburg, Vincent; Hauck, Cory D. A hybrid finite-volume, discontinuous Galerkin discretization for the radiative transport equation. (English) Zbl 1453.82099 Multiscale Model. Simul. 19, No. 1, 1-24 (2021). MSC: 82D75 65L60 65M08 35B40 76R50 PDF BibTeX XML Cite \textit{V. Heningburg} and \textit{C. D. Hauck}, Multiscale Model. Simul. 19, No. 1, 1--24 (2021; Zbl 1453.82099) Full Text: DOI
Liu, Shuainan; Li, Po-Wei; Fan, Chia-Ming; Gu, Yan Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations. (English) Zbl 07305311 Eng. Anal. Bound. Elem. 124, 237-244 (2021). MSC: 65 74 PDF BibTeX XML Cite \textit{S. Liu} et al., Eng. Anal. Bound. Elem. 124, 237--244 (2021; Zbl 07305311) Full Text: DOI
Gholampour, Faranak; Hesameddini, Esmail; Taleei, Ameneh A stable RBF partition of unity local method for elliptic interface problems in two dimensions. (English) Zbl 07305291 Eng. Anal. Bound. Elem. 123, 220-232 (2021). MSC: 35J57 65N35 82B24 PDF BibTeX XML Cite \textit{F. Gholampour} et al., Eng. Anal. Bound. Elem. 123, 220--232 (2021; Zbl 07305291) Full Text: DOI
Šušnjara, Anna; Verhnjak, Ožbej; Poljak, Dragan; Cvetković, Mario; Ravnik, Jure Stochastic-deterministic boundary element modelling of transcranial electric stimulation using a three layer head model. (English) Zbl 07305280 Eng. Anal. Bound. Elem. 123, 70-83 (2021). MSC: 74 78 PDF BibTeX XML Cite \textit{A. Šušnjara} et al., Eng. Anal. Bound. Elem. 123, 70--83 (2021; Zbl 07305280) Full Text: DOI
Ku, Cheng-Yu; Liu, Chih-Yu; Xiao, Jing-En; Hsu, Shih-Meng; Yeih, Weichung A collocation method with space-time radial polynomials for inverse heat conduction problems. (English) Zbl 07305265 Eng. Anal. Bound. Elem. 122, 117-131 (2021). MSC: 74 65 PDF BibTeX XML Cite \textit{C.-Y. Ku} et al., Eng. Anal. Bound. Elem. 122, 117--131 (2021; Zbl 07305265) Full Text: DOI
Jiang, Chaolong; Wang, Yushun; Gong, Yuezheng Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations. (English) Zbl 07305223 J. Comput. Appl. Math. 388, Article ID 113298, 17 p. (2021). MSC: 65M22 65L06 65M70 65N35 35Q55 35Q41 PDF BibTeX XML Cite \textit{C. Jiang} et al., J. Comput. Appl. Math. 388, Article ID 113298, 17 p. (2021; Zbl 07305223) Full Text: DOI
Baccouch, Mahboub; Temimi, Helmi; Ben-Romdhane, Mohamed A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physics. (English) Zbl 07305222 J. Comput. Appl. Math. 388, Article ID 113297, 25 p. (2021). MSC: 65C20 65C30 65L20 65L60 60H10 60H20 60H35 PDF BibTeX XML Cite \textit{M. Baccouch} et al., J. Comput. Appl. Math. 388, Article ID 113297, 25 p. (2021; Zbl 07305222) Full Text: DOI
Jia, Jinhong; Wang, Hong; Zheng, Xiangcheng A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis. (English) Zbl 07305200 J. Comput. Appl. Math. 388, Article ID 113234, 15 p. (2021). MSC: 65L60 34A08 65F10 PDF BibTeX XML Cite \textit{J. Jia} et al., J. Comput. Appl. Math. 388, Article ID 113234, 15 p. (2021; Zbl 07305200) Full Text: DOI
Hanke, Michael; März, Roswitha A reliable direct numerical treatment of differential-algebraic equations by overdetermined collocation: an operator approach. (English) Zbl 07305190 J. Comput. Appl. Math. 387, Article ID 112520, 14 p. (2021). MSC: 65L80 65L60 PDF BibTeX XML Cite \textit{M. Hanke} and \textit{R. März}, J. Comput. Appl. Math. 387, Article ID 112520, 14 p. (2021; Zbl 07305190) Full Text: DOI
D’Ambrosio, Raffaele; Paternoster, Beatrice Multivalue collocation methods free from order reduction. (English) Zbl 07305186 J. Comput. Appl. Math. 387, Article ID 112515, 12 p. (2021). MSC: 65L04 65L60 PDF BibTeX XML Cite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, J. Comput. Appl. Math. 387, Article ID 112515, 12 p. (2021; Zbl 07305186) Full Text: DOI
Hanke, Michael; März, Roswitha Convergence analysis of least-squares collocation methods for nonlinear higher-index differential-algebraic equations. (English) Zbl 07305185 J. Comput. Appl. Math. 387, Article ID 112514, 20 p. (2021). MSC: 65L80 34A09 PDF BibTeX XML Cite \textit{M. Hanke} and \textit{R. März}, J. Comput. Appl. Math. 387, Article ID 112514, 20 p. (2021; Zbl 07305185) Full Text: DOI
Krämer, Patrick; Schratz, Katharina; Zhao, Xiaofei Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. (English) Zbl 07305177 J. Comput. Appl. Math. 387, Article ID 112494, 16 p. (2021). MSC: 78A35 78M20 78M22 65M06 65N35 65M12 65M15 81Q05 35Q41 PDF BibTeX XML Cite \textit{P. Krämer} et al., J. Comput. Appl. Math. 387, Article ID 112494, 16 p. (2021; Zbl 07305177) Full Text: DOI
Kürkçü, Ömür Kıvanç; Sezer, Mehmet A directly convergent numerical method based on orthoexponential polynomials for solving integro-differential-delay equations with variable coefficients and infinite boundary on half-line. (English) Zbl 07305159 J. Comput. Appl. Math. 386, Article ID 113250, 16 p. (2021). MSC: 45J05 65R20 65L60 PDF BibTeX XML Cite \textit{Ö. K. Kürkçü} and \textit{M. Sezer}, J. Comput. Appl. Math. 386, Article ID 113250, 16 p. (2021; Zbl 07305159) Full Text: DOI
Pan, Jiajia; Li, Huiyuan A penalized weak Galerkin spectral element method for second order elliptic equations. (English) Zbl 07305145 J. Comput. Appl. Math. 386, Article ID 113228, 29 p. (2021). MSC: 65N35 65N30 65N25 65N15 35J15 PDF BibTeX XML Cite \textit{J. Pan} and \textit{H. Li}, J. Comput. Appl. Math. 386, Article ID 113228, 29 p. (2021; Zbl 07305145) Full Text: DOI
Breda, Dimitri; Florian, Francesco; Ripoll, Jordi; Vermiglio, Rossana Efficient numerical computation of the basic reproduction number for structured populations. (English) Zbl 07305061 J. Comput. Appl. Math. 384, Article ID 113165, 15 p. (2021). MSC: 65Pxx 65L03 65L15 65M70 65J10 92D25 92D30 92D40 47D06 47A75 PDF BibTeX XML Cite \textit{D. Breda} et al., J. Comput. Appl. Math. 384, Article ID 113165, 15 p. (2021; Zbl 07305061) 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
Aleja, D.; Molina-Meyer, M. Nonlinear finite elements: sub- and supersolutions for the heterogeneous logistic equation. (English) Zbl 07303708 J. Differ. Equations 278, 189-219 (2021). MSC: 65L60 65L10 35J25 35B50 PDF BibTeX XML Cite \textit{D. Aleja} and \textit{M. Molina-Meyer}, J. Differ. Equations 278, 189--219 (2021; Zbl 07303708) Full Text: DOI
Leng, Yu; Tian, Xiaochuan; Trask, Nathaniel; Foster, John T. Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion. (English) Zbl 07302948 SIAM J. Numer. Anal. 59, No. 1, 88-118 (2021). MSC: 82C21 65R20 65M70 65M12 46N20 45A05 PDF BibTeX XML Cite \textit{Y. Leng} et al., SIAM J. Numer. Anal. 59, No. 1, 88--118 (2021; Zbl 07302948) Full Text: DOI
Moshtaghi, Nasrin; Saadatmandi, Abbas Polynomial-Sinc collocation method combined with the Legendre-Gauss quadrature rule for numerical solution of distributed order fractional differential equations. (English) Zbl 07302473 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 47, 23 p. (2021). MSC: 65L60 26A33 41A30 PDF BibTeX XML Cite \textit{N. Moshtaghi} and \textit{A. Saadatmandi}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 47, 23 p. (2021; Zbl 07302473) Full Text: DOI
Bernier, Joackim; Crouseilles, Nicolas; Li, Yingzhe Exact splitting methods for kinetic and Schrödinger equations. (English) Zbl 07301288 J. Sci. Comput. 86, No. 1, Paper No. 10, 35 p. (2021). MSC: 35Q55 35Q49 35Q84 82C40 65M70 65M22 PDF BibTeX XML Cite \textit{J. Bernier} et al., J. Sci. Comput. 86, No. 1, Paper No. 10, 35 p. (2021; Zbl 07301288) Full Text: DOI
Zhai, Shuying; Weng, Zhifeng; Feng, Xinlong; He, Yinnian Stability and error estimate of the operator splitting method for the phase field crystal equation. (English) Zbl 07301286 J. Sci. Comput. 86, No. 1, Paper No. 8, 23 p. (2021). MSC: 65M70 65T50 65M12 35K57 35R11 74N05 35Q74 82D80 PDF BibTeX XML Cite \textit{S. Zhai} et al., J. Sci. Comput. 86, No. 1, Paper No. 8, 23 p. (2021; Zbl 07301286) Full Text: DOI
Liu, Ling; Ma, Junjie Block collocation boundary value solutions of the first-kind Volterra integral equations. (English) Zbl 07300827 Numer. Algorithms 86, No. 2, 911-932 (2021). MSC: 65 PDF BibTeX XML Cite \textit{L. Liu} and \textit{J. Ma}, Numer. Algorithms 86, No. 2, 911--932 (2021; Zbl 07300827) Full Text: DOI
Nemati, S.; Lima, Pedro M.; Torres, Delfim F. M. Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets. (English) Zbl 07300818 Numer. Algorithms 86, No. 2, 675-691 (2021). MSC: 65 34D05 45E10 65T60 PDF BibTeX XML Cite \textit{S. Nemati} et al., Numer. Algorithms 86, No. 2, 675--691 (2021; Zbl 07300818) Full Text: DOI
Du, Chonggang; Zhu, Zheng H.; Li, Gangqiang Rigid-flexible coupling effect on attitude dynamics of electric solar wind sail. (English) Zbl 07299056 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105663, 20 p. (2021). MSC: 65M60 65L60 65L06 65L80 PDF BibTeX XML Cite \textit{C. Du} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105663, 20 p. (2021; Zbl 07299056) Full Text: DOI
Do, Quan H.; Ngo, Hoa T. B.; Razzaghi, Mohsen A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations. (English) Zbl 07299009 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105597, 16 p. (2021). MSC: 65M70 34A08 35R11 41A50 65T60 PDF BibTeX XML Cite \textit{Q. H. Do} et al., Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105597, 16 p. (2021; Zbl 07299009) Full Text: DOI
Hu, Jingwei; Shu, Ruiwen On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations. (English) Zbl 07298451 Math. Comput. 90, No. 328, 641-670 (2021). MSC: 65M06 65M70 65M60 65M12 65L04 65L06 35L03 35L60 82C40 PDF BibTeX XML Cite \textit{J. Hu} and \textit{R. Shu}, Math. Comput. 90, No. 328, 641--670 (2021; Zbl 07298451) Full Text: DOI
Mohammadi, Reza Numerical approximation for viscous Cahn-Hilliard equation via septic B-spline. (English) Zbl 07291035 Appl. Anal. 100, No. 1, 93-115 (2021). MSC: 65M06 65D07 65N35 65M12 65M15 35Q35 76M20 PDF BibTeX XML Cite \textit{R. Mohammadi}, Appl. Anal. 100, No. 1, 93--115 (2021; Zbl 07291035) 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 07291032 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 07291032) Full Text: DOI
Sun, Hongbo; Mei, Liangcai; Lin, Yingzhen A new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs. (English) Zbl 07281299 Appl. Math. Lett. 112, Article ID 106732, 9 p. (2021). MSC: 65L60 65L20 PDF BibTeX XML Cite \textit{H. Sun} et al., Appl. Math. Lett. 112, Article ID 106732, 9 p. (2021; Zbl 07281299) Full Text: DOI
Sun, Lixia; Niu, Jing; Hou, Jinjiao A high order convergence collocation method based on the reproducing kernel for general interface problems. (English) Zbl 07281294 Appl. Math. Lett. 112, Article ID 106718, 7 p. (2021). MSC: 65L60 34B10 PDF BibTeX XML Cite \textit{L. Sun} et al., Appl. Math. Lett. 112, Article ID 106718, 7 p. (2021; Zbl 07281294) 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 07281292 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 07281292) 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
Shindin, Sergey; Parumasur, Nabendra; Aluko, Olabisi Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation. (English) Zbl 1448.65132 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105571, 27 p. (2021). MSC: 65M12 65M15 65M70 PDF BibTeX XML Cite \textit{S. Shindin} et al., Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105571, 27 p. (2021; Zbl 1448.65132) Full Text: DOI
Khosravian-Arab, Hassan; Eslahchi, M. R. Müntz pseudo-spectral method: theory and numerical experiments. (English) Zbl 1453.65358 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105510, 29 p. (2021). MSC: 65M70 26A33 33C45 58C40 65M15 35R11 34A08 PDF BibTeX XML Cite \textit{H. Khosravian-Arab} and \textit{M. R. Eslahchi}, Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105510, 29 p. (2021; Zbl 1453.65358) Full Text: DOI
Bayındır, Cihan; Altintas, Azmi Ali; Ozaydin, Fatih Self-localized solitons of a \(q\)-deformed quantum system. (English) Zbl 1453.35160 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105474, 14 p. (2021). MSC: 35Q55 35Q41 35C08 35B35 35B44 65N35 65L06 60H40 81Q05 PDF BibTeX XML Cite \textit{C. Bayındır} et al., Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105474, 14 p. (2021; Zbl 1453.35160) Full Text: DOI
Schratz, Katharina; Wang, Yan; Zhao, Xiaofei Low-regularity integrators for nonlinear Dirac equations. (English) Zbl 1450.35231 Math. Comput. 90, No. 327, 189-214 (2021). MSC: 35Q41 65M70 65N35 65M12 65M15 65M06 35B65 35S30 PDF BibTeX XML Cite \textit{K. Schratz} et al., Math. Comput. 90, No. 327, 189--214 (2021; Zbl 1450.35231) Full Text: DOI
Li, Xiao; Qiao, Zhonghua; Wang, Cheng Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn-Hilliard equation. (English) Zbl 07268655 Math. Comput. 90, No. 327, 171-188 (2021). MSC: 65M70 65N35 65M06 65M12 65M15 35Q99 PDF BibTeX XML Cite \textit{X. Li} et al., Math. Comput. 90, No. 327, 171--188 (2021; Zbl 07268655) Full Text: DOI
Jiang, Xiaoying; Xu, Xiang An inverse spectral problem for a fourth-order Sturm-Liouville operator based on trace formulae. (English) Zbl 1452.65208 Appl. Math. Lett. 111, Article ID 106654, 9 p. (2021). MSC: 65M32 65M30 65L15 65F15 65M70 34B24 45B05 42C10 35R30 74H45 74K10 PDF BibTeX XML Cite \textit{X. Jiang} and \textit{X. Xu}, Appl. Math. Lett. 111, Article ID 106654, 9 p. (2021; Zbl 1452.65208) Full Text: DOI
Zhang, Jin; Liu, Xiaowei Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D. (English) Zbl 1451.65101 Appl. Math. Lett. 111, Article ID 106624, 7 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65L60 65L10 65L11 65L20 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{X. Liu}, Appl. Math. Lett. 111, Article ID 106624, 7 p. (2021; Zbl 1451.65101) Full Text: DOI
Shirzadi, Mohammad; Dehghan, Mehdi Generalized regularized least-squares approximation of noisy data with application to stochastic PDEs. (English) Zbl 1452.65375 Appl. Math. Lett. 111, Article ID 106598, 8 p. (2021). MSC: 65N35 65M06 65K10 60H40 35J99 PDF BibTeX XML Cite \textit{M. Shirzadi} and \textit{M. Dehghan}, Appl. Math. Lett. 111, Article ID 106598, 8 p. (2021; Zbl 1452.65375) Full Text: DOI
Faghih, A.; Mokhtary, P. A new fractional collocation method for a system of multi-order fractional differential equations with variable coefficients. (English) Zbl 07246902 J. Comput. Appl. Math. 383, Article ID 113139, 25 p. (2021). MSC: 65L05 65L20 65L60 34K37 PDF BibTeX XML Cite \textit{A. Faghih} and \textit{P. Mokhtary}, J. Comput. Appl. Math. 383, Article ID 113139, 25 p. (2021; Zbl 07246902) Full Text: DOI
Li, Qi; Li, Xi; Yang, Xiaofeng; Mei, Liquan Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model. (English) Zbl 1452.65165 J. Comput. Appl. Math. 383, Article ID 113122, 23 p. (2021). MSC: 65M06 65N35 65T50 65M12 82C20 82C26 82D25 74E15 74N05 PDF BibTeX XML Cite \textit{Q. Li} et al., J. Comput. Appl. Math. 383, Article ID 113122, 23 p. (2021; Zbl 1452.65165) Full Text: DOI
Bhal, Santosh Kumar; Danumjaya, P.; Fairweather, G. The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces. (English) Zbl 07246887 J. Comput. Appl. Math. 383, Article ID 113119, 10 p. (2021). MSC: 65M06 65N35 65M12 65D07 65D32 35K20 PDF BibTeX XML Cite \textit{S. K. Bhal} et al., J. Comput. Appl. Math. 383, Article ID 113119, 10 p. (2021; Zbl 07246887) Full Text: DOI
Abdelwahed, Mohamed; Chorfi, Nejmeddine A posteriori analysis of the spectral element discretization of a non linear heat equation. (English) Zbl 1452.65264 Adv. Nonlinear Anal. 10, 477-493 (2021). MSC: 65M70 65M06 65N35 65M15 35K05 35Q79 PDF BibTeX XML Cite \textit{M. Abdelwahed} and \textit{N. Chorfi}, Adv. Nonlinear Anal. 10, 477--493 (2021; Zbl 1452.65264) Full Text: DOI
Asadzadeh, Mohammad An introduction to the finite element method for differential equations. (English) Zbl 1446.65001 Hoboken, NJ: John Wiley & Sons (ISBN 978-1-119-67164-0/hbk; 978-1-119-67168-8/ebook). xiii, 331 p. (2021). MSC: 65-01 65L60 65N30 65M60 74S05 76M10 PDF BibTeX XML Cite \textit{M. Asadzadeh}, An introduction to the finite element method for differential equations. Hoboken, NJ: John Wiley \& Sons (2021; Zbl 1446.65001) Full Text: DOI
Rabbani, Mohsen Compact operators for existence of solution and projection method with multi-wavelet bases to solve (F.IES) and error analysis in Sobolev space. (English) Zbl 1453.65461 J. Comput. Appl. Math. 382, Article ID 113090, 12 p. (2021). MSC: 65R20 45B05 42C05 65L60 65T60 PDF BibTeX XML Cite \textit{M. Rabbani}, J. Comput. Appl. Math. 382, Article ID 113090, 12 p. (2021; Zbl 1453.65461) Full Text: DOI
Agarwal, P.; El-Sayed, A. A.; Tariboon, J. Vieta-Fibonacci operational matrices for spectral solutions of variable-order fractional integro-differential equations. (English) Zbl 07241393 J. Comput. Appl. Math. 382, Article ID 113063, 10 p. (2021). MSC: 45J05 26A33 33C47 45J99 65R20 65Z05 PDF BibTeX XML Cite \textit{P. Agarwal} et al., J. Comput. Appl. Math. 382, Article ID 113063, 10 p. (2021; Zbl 07241393) Full Text: DOI
Gu, Jiaxi; Jung, Jae-Hun Adaptive Gaussian radial basis function methods for initial value problems: construction and comparison with adaptive multiquadric radial basis function methods. (English) Zbl 07241304 J. Comput. Appl. Math. 381, Article ID 113036, 17 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 65L05 65D12 65L12 65L60 41A15 PDF BibTeX XML Cite \textit{J. Gu} and \textit{J.-H. Jung}, J. Comput. Appl. Math. 381, Article ID 113036, 17 p. (2021; Zbl 07241304) Full Text: DOI
Amin, Rohul; Shah, Kamal; Asif, Muhammad; Khan, Imran; Ullah, Faheem An efficient algorithm for numerical solution of fractional integro-differential equations via Haar wavelet. (English) Zbl 1451.65230 J. Comput. Appl. Math. 381, Article ID 113028, 16 p. (2021). MSC: 65R20 45J05 34A08 65L60 PDF BibTeX XML Cite \textit{R. Amin} et al., J. Comput. Appl. Math. 381, Article ID 113028, 16 p. (2021; Zbl 1451.65230) Full Text: DOI
Jeng, B.-W.; Sriburadet, Sirilak Continuation and preconditioned imaginary time evolution methods for boson-fermion mixtures. (English) Zbl 1446.65186 J. Comput. Appl. Math. 381, Article ID 113019, 22 p. (2021). MSC: 65N35 35P30 35Q55 35B32 65M22 PDF BibTeX XML Cite \textit{B. W. Jeng} and \textit{S. Sriburadet}, J. Comput. Appl. Math. 381, Article ID 113019, 22 p. (2021; Zbl 1446.65186) Full Text: DOI
Batra, Romesh C. Finite element and meshless methods in computational mechanics (to appear). (English) Zbl 06399782 New York, NY: Springer (ISBN 978-1-4419-5682-8/hbk; 978-1-4419-5683-5/ebook). 500 p. (2021). MSC: 65-01 65L60 65M60 65N30 65Z05 74S05 PDF BibTeX XML Cite \textit{R. C. Batra}, Finite element and meshless methods in computational mechanics (to appear). New York, NY: Springer (2021; Zbl 06399782)
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)
Egger, Herbert; Kugler, Thomas; Liljegren-Sailer, Björn Stability preserving approximations of a semilinear hyperbolic gas transport model. (English) Zbl 07315489 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, 427-433 (2020). MSC: 35L50 65M60 35L05 65L60 65L20 PDF BibTeX XML Cite \textit{H. Egger} et al., AIMS Ser. Appl. Math. 10, 427--433 (2020; Zbl 07315489)
Bilal, M.; Rosli, N.; Mohd, Jamil N.; Ahmad, I. Numerical solution of fractional pantograph differential equation via fractional Taylor series collocation method. (English) Zbl 07314133 Malays. J. Math. Sci. 14, Spec. Iss.: 2nd International Conference on Applied & Industrial Mathematics and Statistics 2019 (ICoAIMS 2019), 155-169 (2020). MSC: 65 26 PDF BibTeX XML Cite \textit{M. Bilal} et al., Malays. J. Math. Sci. 14, 155--169 (2020; Zbl 07314133) Full Text: Link
Molina-Meyer, Marcela; Prieto Medina, Frank Richard A collocation-spectral method to solve the bi-dimensional degenerate diffusive logistic equation with spatial heterogeneities in circular domains. (English) Zbl 07312833 Rend. Ist. Mat. Univ. Trieste 52, 311-343 (2020). MSC: 35J61 35J70 65N35 65P30 92D25 PDF BibTeX XML Cite \textit{M. Molina-Meyer} and \textit{F. R. Prieto Medina}, Rend. Ist. Mat. Univ. Trieste 52, 311--343 (2020; Zbl 07312833) Full Text: DOI Link
Tellini, Andrea Numerical global bifurcation diagrams for a superlinear indefinite problem with a parameter appearing in the domain. (English) Zbl 07312832 Rend. Ist. Mat. Univ. Trieste 52, 289-309 (2020). MSC: 65L10 65L60 65P30 65L07 PDF BibTeX XML Cite \textit{A. Tellini}, Rend. Ist. Mat. Univ. Trieste 52, 289--309 (2020; Zbl 07312832) Full Text: DOI Link
Takayasu, Akitoshi A computer-assisted proof for nonlinear heat equations in the complex plane of time. (English) Zbl 07311529 RIMS Kôkyûroku Bessatsu B82, 47-66 (2020). MSC: 35A20 35B40 35B44 35K55 65G40 65M15 65M70 PDF BibTeX XML Cite \textit{A. Takayasu}, RIMS Kôkyûroku Bessatsu B82, 47--66 (2020; Zbl 07311529) Full Text: Link
Gomes, S. N.; Pavliotis, G. A.; Vaes, U. Mean field limits for interacting diffusions with colored noise: phase transitions and spectral numerical methods. (English) Zbl 1453.35165 Multiscale Model. Simul. 18, No. 3, 1343-1370 (2020). MSC: 35Q70 35Q83 35Q84 65N35 65M70 82B26 PDF BibTeX XML Cite \textit{S. N. Gomes} et al., Multiscale Model. Simul. 18, No. 3, 1343--1370 (2020; Zbl 1453.35165) Full Text: DOI
Li, Qin; Liu, Jian-Guo; Shu, Ruiwen Sensitivity analysis of Burgers’ equation with shocks. (English) Zbl 07307673 SIAM/ASA J. Uncertain. Quantif. 8, 1493-1521 (2020). MSC: 65M70 35L67 35R60 35Q53 93B35 62C10 PDF BibTeX XML Cite \textit{Q. Li} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1493--1521 (2020; Zbl 07307673) Full Text: DOI
Gebremedhin, Guesh Simretab; Jena, Saumya Ranjan Approximate of solution of a fourth order ordinary differential equations via tenth step block method. (English) Zbl 1453.65193 Int. J. Comput. Sci. Math. 11, No. 3, 253-262 (2020). MSC: 65L60 65L05 65L20 PDF BibTeX XML Cite \textit{G. S. Gebremedhin} and \textit{S. R. Jena}, Int. J. Comput. Sci. Math. 11, No. 3, 253--262 (2020; Zbl 1453.65193) Full Text: DOI
Brown, Colin; McNally, William; McPhee, John Optimal control of joint torques using direct collocation to maximize ball carry distance in a golf swing. (English) Zbl 07305030 Multibody Syst. Dyn. 50, No. 3, 323-333 (2020). MSC: 70B10 49K15 49N90 PDF BibTeX XML Cite \textit{C. Brown} et al., Multibody Syst. Dyn. 50, No. 3, 323--333 (2020; Zbl 07305030) Full Text: DOI
Muslu, Gulcin M.; Lin, Chi-Kun WKB analysis for the three coupled long wave-short wave interaction equations. (English) Zbl 07304790 Appl. Anal. 99, No. 9, 1507-1527 (2020). MSC: 81Q20 35A01 35G25 35Q35 35L72 37L50 46E35 65M70 PDF BibTeX XML Cite \textit{G. M. Muslu} and \textit{C.-K. Lin}, Appl. Anal. 99, No. 9, 1507--1527 (2020; Zbl 07304790) Full Text: DOI
Wei, H.; Pan, Q. X.; Adetoro, O. B.; Avital, E.; Yuan, Y.; Wen, P. H. Dynamic large deformation analysis of a cantilever beam. (English) Zbl 1453.74052 Math. Comput. Simul. 174, 183-204 (2020). MSC: 74K10 65L60 PDF BibTeX XML Cite \textit{H. Wei} et al., Math. Comput. Simul. 174, 183--204 (2020; Zbl 1453.74052) Full Text: DOI
Liu, Jun; Fu, Hongfei; Zhang, Jiansong A QSC method for fractional subdiffusion equations with fractional boundary conditions and its application in parameters identification. (English) Zbl 1453.65359 Math. Comput. Simul. 174, 153-174 (2020). MSC: 65M70 35R11 65M12 PDF BibTeX XML Cite \textit{J. Liu} et al., Math. Comput. Simul. 174, 153--174 (2020; Zbl 1453.65359) Full Text: DOI
Singh, Randhir; Guleria, Vandana; Singh, Mehakpreet Haar wavelet quasilinearization method for numerical solution of Emden-Fowler type equations. (English) Zbl 1453.65196 Math. Comput. Simul. 174, 123-133 (2020). MSC: 65L60 65L20 65T60 PDF BibTeX XML Cite \textit{R. Singh} et al., Math. Comput. Simul. 174, 123--133 (2020; Zbl 1453.65196) Full Text: DOI
Bhal, Santosh Kumar; Danumjaya, P.; Fairweather, G. High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces. (English) Zbl 1453.65190 Math. Comput. Simul. 174, 102-122 (2020). MSC: 65L60 65L10 PDF BibTeX XML Cite \textit{S. K. Bhal} et al., Math. Comput. Simul. 174, 102--122 (2020; Zbl 1453.65190) Full Text: DOI
Yaseen, Muhammad; Abbas, Muhammad An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation. (English) Zbl 07304283 Appl. Math., Ser. B (Engl. Ed.) 35, No. 3, 359-378 (2020). MSC: 65M70 65Z05 65D05 65D07 35B35 PDF BibTeX XML Cite \textit{M. Yaseen} and \textit{M. Abbas}, Appl. Math., Ser. B (Engl. Ed.) 35, No. 3, 359--378 (2020; Zbl 07304283) Full Text: DOI
van der Stoep, Anthonie W.; Grzelak, Lech A.; Oosterlee, Cornelis W. Collocating volatility: a competitive alternative to stochastic local volatility models. (English) Zbl 07303455 Int. J. Theor. Appl. Finance 23, No. 6, Article ID 2050038, 42 p. (2020). MSC: 91G20 PDF BibTeX XML Cite \textit{A. W. van der Stoep} et al., Int. J. Theor. Appl. Finance 23, No. 6, Article ID 2050038, 42 p. (2020; Zbl 07303455) Full Text: DOI
Li, Buyang; Yang, Jiang; Zhou, Zhi Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations. (English) Zbl 07303434 SIAM J. Sci. Comput. 42, No. 6, A3957-A3978 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M22 65M70 65D32 65M15 65M12 PDF BibTeX XML Cite \textit{B. Li} et al., SIAM J. Sci. Comput. 42, No. 6, A3957--A3978 (2020; Zbl 07303434) Full Text: DOI
Alhawwary, Mohammad; Wang, Zhijian A combined-mode Fourier analysis of DG methods for linear parabolic problems. (English) Zbl 07303429 SIAM J. Sci. Comput. 42, No. 6, A3825-A3858 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M70 76M10 76R50 76F99 42A38 35K05 PDF BibTeX XML Cite \textit{M. Alhawwary} and \textit{Z. Wang}, SIAM J. Sci. Comput. 42, No. 6, A3825--A3858 (2020; Zbl 07303429) 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
Throwe, William; Teukolsky, Saul A high-order, conservative integrator with local time-stepping. (English) Zbl 07303421 SIAM J. Sci. Comput. 42, No. 6, A3730-A3760 (2020). MSC: 65L06 65L60 65M20 65M60 65Z05 PDF BibTeX XML Cite \textit{W. Throwe} and \textit{S. Teukolsky}, SIAM J. Sci. Comput. 42, No. 6, A3730--A3760 (2020; Zbl 07303421) 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
Li, Yingzhe; Sun, Yajuan; Crouseilles, Nicolas Numerical simulations of one laser-plasma model based on Poisson structure. (English) Zbl 1453.65257 J. Comput. Phys. 405, Article ID 109172, 20 p. (2020). MSC: 65M08 65M70 76X05 76Y05 70G45 PDF BibTeX XML Cite \textit{Y. Li} et al., J. Comput. Phys. 405, Article ID 109172, 20 p. (2020; Zbl 1453.65257) Full Text: DOI
Chen, Meng; Ling, Leevan Kernel-based collocation methods for heat transport on evolving surfaces. (English) Zbl 1453.65356 J. Comput. Phys. 405, Article ID 109166, 13 p. (2020). MSC: 65M70 35R01 35Q79 65Z05 PDF BibTeX XML Cite \textit{M. Chen} and \textit{L. Ling}, J. Comput. Phys. 405, Article ID 109166, 13 p. (2020; Zbl 1453.65356) Full Text: DOI
Zhang, Hui; Jiang, Xiaoyun; Zeng, Fanhai; Karniadakis, George Em A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations. (English) Zbl 1453.65370 J. Comput. Phys. 405, Article ID 109141, 17 p. (2020). MSC: 65M70 65M15 35R11 65M12 PDF BibTeX XML Cite \textit{H. Zhang} et al., J. Comput. Phys. 405, Article ID 109141, 17 p. (2020; Zbl 1453.65370) Full Text: DOI