Xu, Shengjie; Xue, Fei Inexact rational Krylov Subspace methods for approximating the action of functions of matrices. (English) Zbl 07799503 ETNA, Electron. Trans. Numer. Anal. 58, 538-567 (2023). MSC: 65D15 65F10 65F50 65F60 PDFBibTeX XMLCite \textit{S. Xu} and \textit{F. Xue}, ETNA, Electron. Trans. Numer. Anal. 58, 538--567 (2023; Zbl 07799503) Full Text: DOI Link
Xue, Zhongqin; Zhao, Xuan Compatible energy dissipation of the variable-step \(L1\) scheme for the space-time fractional Cahn-Hilliard equation. (English) Zbl 07749377 SIAM J. Sci. Comput. 45, No. 5, A2539-A2560 (2023). MSC: 65-XX 35R11 65M50 65M12 PDFBibTeX XMLCite \textit{Z. Xue} and \textit{X. Zhao}, SIAM J. Sci. Comput. 45, No. 5, A2539--A2560 (2023; Zbl 07749377) Full Text: DOI
Duan, Beiping; Yang, Zongze A quadrature scheme for steady-state diffusion equations involving fractional power of regularly accretive operator. (English) Zbl 1522.65171 SIAM J. Sci. Comput. 45, No. 5, A2226-A2249 (2023). MSC: 65M60 65M06 65N30 65N50 65R20 65N12 65N15 35S15 35R09 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{B. Duan} and \textit{Z. Yang}, SIAM J. Sci. Comput. 45, No. 5, A2226--A2249 (2023; Zbl 1522.65171) Full Text: DOI arXiv
Taneja, Komal; Deswal, Komal; Kumar, Devendra A robust higher-order numerical technique with graded and harmonic meshes for the time-fractional diffusion-advection-reaction equation. (English) Zbl 07736749 Math. Comput. Simul. 213, 348-373 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{K. Taneja} et al., Math. Comput. Simul. 213, 348--373 (2023; Zbl 07736749) Full Text: DOI
Bu, Linlin; Wu, Jianhua; Mei, Liquan; Wang, Ying Second-order linear adaptive time-stepping schemes for the fractional Allen-Cahn equation. (English) Zbl 07731332 Comput. Math. Appl. 145, 260-274 (2023). MSC: 65M06 65M12 35R11 35Q35 65M70 PDFBibTeX XMLCite \textit{L. Bu} et al., Comput. Math. Appl. 145, 260--274 (2023; Zbl 07731332) Full Text: DOI
Aceto, L.; Mazza, M. A rational preconditioner for multi-dimensional Riesz fractional diffusion equations. (English) Zbl 07703996 Comput. Math. Appl. 143, 372-382 (2023). MSC: 65-XX 35R11 65M06 65F08 65F60 15B05 35R11 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{M. Mazza}, Comput. Math. Appl. 143, 372--382 (2023; Zbl 07703996) Full Text: DOI
Miyajima, Shinya Fast verified computation for real powers of large matrices with Kronecker structure. (English) Zbl 07702357 Appl. Math. Comput. 453, Article ID 128055, 22 p. (2023). MSC: 15A16 65F60 65G20 PDFBibTeX XMLCite \textit{S. Miyajima}, Appl. Math. Comput. 453, Article ID 128055, 22 p. (2023; Zbl 07702357) Full Text: DOI
Wang, Wansheng; Huang, Yi Analytical and numerical dissipativity for the space-fractional Allen-Cahn equation. (English) Zbl 07701019 Math. Comput. Simul. 207, 80-96 (2023). MSC: 37-XX 35-XX PDFBibTeX XMLCite \textit{W. Wang} and \textit{Y. Huang}, Math. Comput. Simul. 207, 80--96 (2023; Zbl 07701019) Full Text: DOI
Bhatt, H. P. Numerical simulation of high-dimensional two-component reaction-diffusion systems with fractional derivatives. (English) Zbl 1524.65315 Int. J. Comput. Math. 100, No. 1, 47-68 (2023). MSC: 65M06 65T50 35B36 65L06 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{H. P. Bhatt}, Int. J. Comput. Math. 100, No. 1, 47--68 (2023; Zbl 1524.65315) Full Text: DOI
Chai, Li; Liu, Yang; Li, Hong; Gao, Wei Fast TT-M fourth-order compact difference schemes for a two-dimensional space fractional Gray-Scott model. (English) Zbl 1522.65138 Comput. Math. Appl. 141, 191-206 (2023). MSC: 65M06 35Q92 35R11 92E20 PDFBibTeX XMLCite \textit{L. Chai} et al., Comput. Math. Appl. 141, 191--206 (2023; Zbl 1522.65138) Full Text: DOI
Bueno-Orovio, Alfonso; Burrage, Kevin Complex-order fractional diffusion in reaction-diffusion systems. (English) Zbl 1509.35339 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107120, 19 p. (2023). MSC: 35R11 26A33 35K57 65T50 PDFBibTeX XMLCite \textit{A. Bueno-Orovio} and \textit{K. Burrage}, Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107120, 19 p. (2023; Zbl 1509.35339) Full Text: DOI
Kazmi, Kamran A second order numerical method for the time-fractional Black-Scholes European option pricing model. (English) Zbl 1502.91058 J. Comput. Appl. Math. 418, Article ID 114647, 17 p. (2023). MSC: 91G60 65N06 65D25 65D30 65B05 35R09 35R11 35Q91 45K05 65R20 65M12 91G20 PDFBibTeX XMLCite \textit{K. Kazmi}, J. Comput. Appl. Math. 418, Article ID 114647, 17 p. (2023; Zbl 1502.91058) Full Text: DOI
Qu, Hai-Dong; Liu, Xuan; Lu, Xin; ur Rahman, Mati; She, Zi-Hang Neural network method for solving nonlinear fractional advection-diffusion equation with spatiotemporal variable-order. (English) Zbl 1506.35272 Chaos Solitons Fractals 156, Article ID 111856, 11 p. (2022). MSC: 35R11 26A33 65M06 65M12 65M70 PDFBibTeX XMLCite \textit{H.-D. Qu} et al., Chaos Solitons Fractals 156, Article ID 111856, 11 p. (2022; Zbl 1506.35272) Full Text: DOI
Wang, Kai; Feng, Jundong; Chen, Hongbo; Xu, Changling Numerical analysis of a linear second-order finite difference scheme for space-fractional Allen-Cahn equations. (English) Zbl 07636099 Adv. Contin. Discrete Models 2022, Paper No. 53, 14 p. (2022). MSC: 39-XX 34-XX PDFBibTeX XMLCite \textit{K. Wang} et al., Adv. Contin. Discrete Models 2022, Paper No. 53, 14 p. (2022; Zbl 07636099) Full Text: DOI
Zhang, Bingyin; Fu, Hongfei; Liang, Xueting; Liu, Jun; Zhang, Jiansong An efficient second-order finite volume ADI method for nonlinear three-dimensional space-fractional reaction-diffusion equations. (English) Zbl 1513.65329 Adv. Appl. Math. Mech. 14, No. 6, 1400-1432 (2022). MSC: 65M08 65M06 65N08 65M12 65M15 26A33 35R11 65F10 PDFBibTeX XMLCite \textit{B. Zhang} et al., Adv. Appl. Math. Mech. 14, No. 6, 1400--1432 (2022; Zbl 1513.65329) Full Text: DOI
Kubelík, P.; Kurbatov, V. G.; Kurbatova, I. V. Calculating a function of a matrix with a real spectrum. (English) Zbl 1498.65061 Numer. Algorithms 90, No. 3, 905-930 (2022). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{P. Kubelík} et al., Numer. Algorithms 90, No. 3, 905--930 (2022; Zbl 1498.65061) Full Text: DOI arXiv
Chen, Hao; Sun, Hai-Wei Second-order maximum principle preserving Strang’s splitting schemes for anisotropic fractional Allen-Cahn equations. (English) Zbl 07525419 Numer. Algorithms 90, No. 2, 749-771 (2022). MSC: 65Mxx 65F10 65L05 65N22 65F15 PDFBibTeX XMLCite \textit{H. Chen} and \textit{H.-W. Sun}, Numer. Algorithms 90, No. 2, 749--771 (2022; Zbl 07525419) Full Text: DOI
Benzi, Michele; Simunec, Igor Rational Krylov methods for fractional diffusion problems on graphs. (English) Zbl 1494.65020 BIT 62, No. 2, 357-385 (2022). MSC: 65F60 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{I. Simunec}, BIT 62, No. 2, 357--385 (2022; Zbl 1494.65020) Full Text: DOI arXiv
Zheng, Minling; Jin, Zhengmeng; Liu, Fawang; Anh, Vo Matrix transfer technique for anomalous diffusion equation involving fractional Laplacian. (English) Zbl 1484.65238 Appl. Numer. Math. 172, 242-258 (2022). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{M. Zheng} et al., Appl. Numer. Math. 172, 242--258 (2022; Zbl 1484.65238) Full Text: DOI
Wang, Yongheng; Cai, Li; Feng, Xiaobing; Luo, Xiaoyu; Gao, Hao A ghost structure finite difference method for a fractional Fitzhugh-Nagumo monodomain model on moving irregular domain. (English) Zbl 07511435 J. Comput. Phys. 428, Article ID 110081, 19 p. (2021). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Comput. Phys. 428, Article ID 110081, 19 p. (2021; Zbl 07511435) Full Text: DOI Link
Yin, Baoli; Wang, Jinfeng; Liu, Yang; Li, Hong A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations. (English) Zbl 07508481 J. Comput. Phys. 425, Article ID 109869, 19 p. (2021). MSC: 65-XX 92-XX PDFBibTeX XMLCite \textit{B. Yin} et al., J. Comput. Phys. 425, Article ID 109869, 19 p. (2021; Zbl 07508481) Full Text: DOI
Tatsuoka, Fuminori; Sogabe, Tomohiro; Miyatake, Yuto; Kemmochi, Tomoya; Zhang, Shao-Liang Computing the matrix fractional power with the double exponential formula. (English) Zbl 1475.65025 ETNA, Electron. Trans. Numer. Anal. 54, 558-580 (2021). MSC: 65F60 65D30 PDFBibTeX XMLCite \textit{F. Tatsuoka} et al., ETNA, Electron. Trans. Numer. Anal. 54, 558--580 (2021; Zbl 1475.65025) Full Text: DOI arXiv Link
Achleitner, Franz; Kuehn, Christian; Melenk, Jens M.; Rieder, Alexander Metastable speeds in the fractional Allen-Cahn equation. (English) Zbl 1510.65238 Appl. Math. Comput. 408, Article ID 126329, 18 p. (2021). MSC: 65M60 35K57 35R11 PDFBibTeX XMLCite \textit{F. Achleitner} et al., Appl. Math. Comput. 408, Article ID 126329, 18 p. (2021; Zbl 1510.65238) Full Text: DOI arXiv
Zhang, Hong; Yan, Jingye; Qian, Xu; Gu, Xianming; Song, Songhe On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation. (English) Zbl 1489.65105 Numer. Algorithms 88, No. 3, 1309-1336 (2021). MSC: 65L06 65M12 35B50 35K61 PDFBibTeX XMLCite \textit{H. Zhang} et al., Numer. Algorithms 88, No. 3, 1309--1336 (2021; Zbl 1489.65105) Full Text: DOI
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions. (English) Zbl 07398755 SIAM J. Matrix Anal. Appl. 42, No. 3, 1290-1318 (2021). MSC: 65F50 65F60 05C12 05C15 15A16 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 42, No. 3, 1290--1318 (2021; Zbl 07398755) Full Text: DOI arXiv
Sheng, Changtao; Cao, Duo; Shen, Jie Efficient spectral methods for PDEs with spectral fractional Laplacian. (English) Zbl 1476.65320 J. Sci. Comput. 88, No. 1, Paper No. 4, 26 p. (2021). MSC: 65N35 26A33 35R11 35S15 41A58 PDFBibTeX XMLCite \textit{C. Sheng} et al., J. Sci. Comput. 88, No. 1, Paper No. 4, 26 p. (2021; Zbl 1476.65320) Full Text: DOI
Liu, Hongyan; Sheng, Changtao; Wang, Li-Lian; Yuan, Huifang On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for the fractional Allen-Cahn equation. (English) Zbl 1473.65207 J. Sci. Comput. 86, No. 2, Paper No. 19, 28 p. (2021). MSC: 65M60 65M06 65N30 35B50 41A05 41A25 41A58 15B05 26A33 35R11 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Sci. Comput. 86, No. 2, Paper No. 19, 28 p. (2021; Zbl 1473.65207) Full Text: DOI arXiv
Zhu, Mu-Zheng; Qi, Ya-E; Zhang, Guo-Feng On circulant and skew-circulant preconditioned Krylov methods for steady-state Riesz spatial fractional diffusion equations. (English) Zbl 1467.65027 Linear Multilinear Algebra 69, No. 4, 719-731 (2021). MSC: 65F10 65T50 65N22 26A33 PDFBibTeX XMLCite \textit{M.-Z. Zhu} et al., Linear Multilinear Algebra 69, No. 4, 719--731 (2021; Zbl 1467.65027) Full Text: DOI
Zhao, Jingjun; Zhao, Wenjiao; Xu, Yang Lagrange nodal discontinuous Galerkin method for fractional Navier-Stokes equations. (English) Zbl 1475.65138 Appl. Math. Comput. 391, Article ID 125697, 19 p. (2021). MSC: 65M60 65M12 65M15 35Q35 35R11 76D05 PDFBibTeX XMLCite \textit{J. Zhao} et al., Appl. Math. Comput. 391, Article ID 125697, 19 p. (2021; Zbl 1475.65138) Full Text: DOI
Chen, Hao; Sun, Hai-Wei A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations. (English) Zbl 1466.65099 J. Sci. Comput. 87, No. 1, Paper No. 30, 25 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65N06 65F10 65F15 65L05 65F60 65M15 15B05 35Q53 35R11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{H.-W. Sun}, J. Sci. Comput. 87, No. 1, Paper No. 30, 25 p. (2021; Zbl 1466.65099) Full Text: DOI
Miyajima, Shinya Verified computation of real powers of matrices. (English) Zbl 1461.65065 J. Comput. Appl. Math. 391, Article ID 113431, 13 p. (2021). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{S. Miyajima}, J. Comput. Appl. Math. 391, Article ID 113431, 13 p. (2021; Zbl 1461.65065) Full Text: DOI
Almushaira, M.; Bhatt, H.; Al-rassas, A. M. Fast high-order method for multi-dimensional space-fractional reaction-diffusion equations with general boundary conditions. (English) Zbl 1524.65307 Math. Comput. Simul. 182, 235-258 (2021). MSC: 65M06 65T50 35R11 PDFBibTeX XMLCite \textit{M. Almushaira} et al., Math. Comput. Simul. 182, 235--258 (2021; Zbl 1524.65307) Full Text: DOI arXiv
Güttel, Stefan; Kressner, Daniel; Lund, Kathryn Limited-memory polynomial methods for large-scale matrix functions. (English) Zbl 07778852 GAMM-Mitt. 43, No. 3, Article ID 202000019, 19 p. (2020). MSC: 65Fxx 15Axx 65Dxx PDFBibTeX XMLCite \textit{S. Güttel} et al., GAMM-Mitt. 43, No. 3, Article ID 202000019, 19 p. (2020; Zbl 07778852) Full Text: DOI arXiv
Stoll, Martin A literature survey of matrix methods for data science. (English) Zbl 07778850 GAMM-Mitt. 43, No. 3, Article ID 202000013, 26 p. (2020). MSC: 65Fxx 15Axx 68Txx PDFBibTeX XMLCite \textit{M. Stoll}, GAMM-Mitt. 43, No. 3, Article ID 202000013, 26 p. (2020; Zbl 07778850) Full Text: DOI arXiv OA License
Owolabi, Kolade M. High-dimensional spatial patterns in fractional reaction-diffusion system arising in biology. (English) Zbl 1483.35117 Chaos Solitons Fractals 134, Article ID 109723, 12 p. (2020). MSC: 35K57 35R11 35B36 26A33 PDFBibTeX XMLCite \textit{K. M. Owolabi}, Chaos Solitons Fractals 134, Article ID 109723, 12 p. (2020; Zbl 1483.35117) Full Text: DOI
Hu, Dongdong; Cao, Xuenian A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. (English) Zbl 07475998 Int. J. Comput. Math. 97, No. 9, 1928-1948 (2020). MSC: 65-XX 26A33 65M06 65M12 PDFBibTeX XMLCite \textit{D. Hu} and \textit{X. Cao}, Int. J. Comput. Math. 97, No. 9, 1928--1948 (2020; Zbl 07475998) Full Text: DOI arXiv
Chen, Hao; Lv, Wen Kronecker product-based structure preserving preconditioner for three-dimensional space-fractional diffusion equations. (English) Zbl 1480.65066 Int. J. Comput. Math. 97, No. 3, 585-601 (2020). MSC: 65F08 65F10 65L06 65N22 PDFBibTeX XMLCite \textit{H. Chen} and \textit{W. Lv}, Int. J. Comput. Math. 97, No. 3, 585--601 (2020; Zbl 1480.65066) Full Text: DOI
Chen, Hao; Huang, Qiuyue Kronecker product based preconditioners for boundary value method discretizations of space fractional diffusion equations. (English) Zbl 1510.65188 Math. Comput. Simul. 170, 316-331 (2020). MSC: 65M06 65F08 35R11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Q. Huang}, Math. Comput. Simul. 170, 316--331 (2020; Zbl 1510.65188) Full Text: DOI
Liu, Yang; Fan, Enyu; Yin, Baoli; Li, Hong; Wang, Jinfeng TT-M finite element algorithm for a two-dimensional space fractional Gray-Scott model. (English) Zbl 1451.65150 Comput. Math. Appl. 80, No. 7, 1793-1809 (2020). MSC: 65M60 34K37 65M15 35Q79 65M22 65H10 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 80, No. 7, 1793--1809 (2020; Zbl 1451.65150) Full Text: DOI
Rashidinia, Jalil; Mohmedi, Elham Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations. (English) Zbl 1463.65327 Comput. Appl. Math. 39, No. 3, Paper No. 216, 25 p. (2020). MSC: 65M70 42C10 65M12 35R11 PDFBibTeX XMLCite \textit{J. Rashidinia} and \textit{E. Mohmedi}, Comput. Appl. Math. 39, No. 3, Paper No. 216, 25 p. (2020; Zbl 1463.65327) Full Text: DOI
Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Yong-Liang Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation. (English) Zbl 1442.65164 Appl. Numer. Math. 156, 346-363 (2020). MSC: 65M06 65L05 26A33 35R11 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., Appl. Numer. Math. 156, 346--363 (2020; Zbl 1442.65164) Full Text: DOI
Chen, Hao; Xu, Dongping Efficient preconditioners for Radau-IIA time discretization of space fractional diffusion equations. (English) Zbl 1436.65165 Numer. Algorithms 83, No. 4, 1349-1372 (2020). MSC: 65N22 65N06 65L06 65F08 65F10 15A18 26A33 35R11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{D. Xu}, Numer. Algorithms 83, No. 4, 1349--1372 (2020; Zbl 1436.65165) Full Text: DOI
He, Dongdong; Pan, Kejia; Hu, Hongling A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation. (English) Zbl 1434.65117 Appl. Numer. Math. 151, 44-63 (2020). MSC: 65M06 35R11 35Q56 65M12 PDFBibTeX XMLCite \textit{D. He} et al., Appl. Numer. Math. 151, 44--63 (2020; Zbl 1434.65117) Full Text: DOI
Čiegis, Raimondas; Vabishchevich, Petr N. High order numerical schemes for solving fractional powers of elliptic operators. (English) Zbl 1440.65085 J. Comput. Appl. Math. 372, Article ID 112627, 17 p. (2020). MSC: 65M06 65N30 65M12 26A33 35R11 65F60 PDFBibTeX XMLCite \textit{R. Čiegis} and \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 372, Article ID 112627, 17 p. (2020; Zbl 1440.65085) Full Text: DOI arXiv
Feng, Libo; Liu, Fawang; Turner, Ian An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains. (English) Zbl 1524.65454 J. Comput. Appl. Math. 364, Article ID 112319, 18 p. (2020). MSC: 65M08 65M06 35R11 65M12 65M60 26A33 PDFBibTeX XMLCite \textit{L. Feng} et al., J. Comput. Appl. Math. 364, Article ID 112319, 18 p. (2020; Zbl 1524.65454) Full Text: DOI arXiv
Kazmi, Kamran; Khaliq, Abdul Q. M. An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions. (English) Zbl 1434.65122 Appl. Numer. Math. 147, 142-160 (2020). MSC: 65M06 65L06 35R11 26A33 60H10 76D05 PDFBibTeX XMLCite \textit{K. Kazmi} and \textit{A. Q. M. Khaliq}, Appl. Numer. Math. 147, 142--160 (2020; Zbl 1434.65122) Full Text: DOI
Zhu, Mu-Zheng; Zhang, Guo-Feng; Qi, Ya-E On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations. (English) Zbl 1487.65126 Adv. Difference Equ. 2019, Paper No. 422, 14 p. (2019). MSC: 65M06 65F10 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{M.-Z. Zhu} et al., Adv. Difference Equ. 2019, Paper No. 422, 14 p. (2019; Zbl 1487.65126) Full Text: DOI
Wang, Yuan-Ming; Ren, Lei Efficient compact finite difference methods for a class of time-fractional convection-reaction-diffusion equations with variable coefficients. (English) Zbl 1499.65443 Int. J. Comput. Math. 96, No. 2, 264-297 (2019). MSC: 65M06 65N06 65M12 65M15 35R11 26A33 PDFBibTeX XMLCite \textit{Y.-M. Wang} and \textit{L. Ren}, Int. J. Comput. Math. 96, No. 2, 264--297 (2019; Zbl 1499.65443) Full Text: DOI
Aceto, L.; Bertaccini, D.; Durastante, F.; Novati, P. Rational Krylov methods for functions of matrices with applications to fractional partial differential equations. (English) Zbl 1452.65201 J. Comput. Phys. 396, 470-482 (2019). MSC: 65M22 35R11 65F60 PDFBibTeX XMLCite \textit{L. Aceto} et al., J. Comput. Phys. 396, 470--482 (2019; Zbl 1452.65201) Full Text: DOI arXiv
Duo, Siwei; Wang, Hong A fractional phase-field model using an infinitesimal generator of \(\alpha\) stable Lévy process. (English) Zbl 1451.76127 J. Comput. Phys. 384, 253-269 (2019). MSC: 76T06 65M06 65M12 35R11 35Q35 76M20 PDFBibTeX XMLCite \textit{S. Duo} and \textit{H. Wang}, J. Comput. Phys. 384, 253--269 (2019; Zbl 1451.76127) Full Text: DOI
Alzahrani, S. S.; Khaliq, Abdul Q. M. High-order time stepping Fourier spectral method for multi-dimensional space-fractional reaction-diffusion equations. (English) Zbl 1442.65289 Comput. Math. Appl. 77, No. 3, 615-630 (2019). MSC: 65M70 65M12 35R11 PDFBibTeX XMLCite \textit{S. S. Alzahrani} and \textit{A. Q. M. Khaliq}, Comput. Math. Appl. 77, No. 3, 615--630 (2019; Zbl 1442.65289) Full Text: DOI
Ren, Lei; Liu, Lei An efficient compact difference method for temporal fractional subdiffusion equations. (English) Zbl 1436.65110 Adv. Math. Phys. 2019, Article ID 3263589, 9 p. (2019). MSC: 65M06 65M12 35R11 91G20 PDFBibTeX XMLCite \textit{L. Ren} and \textit{L. Liu}, Adv. Math. Phys. 2019, Article ID 3263589, 9 p. (2019; Zbl 1436.65110) Full Text: DOI
Ren, Lei Numerical computation and stability analysis for the fractional subdiffusions with spatial variable coefficients. (English) Zbl 1435.65133 Math. Probl. Eng. 2019, Article ID 4582020, 14 p. (2019). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{L. Ren}, Math. Probl. Eng. 2019, Article ID 4582020, 14 p. (2019; Zbl 1435.65133) Full Text: DOI
Kazmi, Kamran; Khaliq, Abdul A split-step predictor-corrector method for space-fractional reaction-diffusion equations with nonhomogeneous boundary conditions. (English) Zbl 1449.65186 Commun. Appl. Math. Comput. 1, No. 4, 525-544 (2019). MSC: 65M06 65M12 65M20 35R11 26A33 PDFBibTeX XMLCite \textit{K. Kazmi} and \textit{A. Khaliq}, Commun. Appl. Math. Comput. 1, No. 4, 525--544 (2019; Zbl 1449.65186) Full Text: DOI
Alzahrani, S. S.; Khaliq, A. Q. M.; Biala, T. A.; Furati, K. M. Fourth-order time stepping methods with matrix transfer technique for space-fractional reaction-diffusion equations. (English) Zbl 1431.65194 Appl. Numer. Math. 146, 123-144 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M99 65L06 35R11 41A21 65M12 65M06 35P10 PDFBibTeX XMLCite \textit{S. S. Alzahrani} et al., Appl. Numer. Math. 146, 123--144 (2019; Zbl 1431.65194) Full Text: DOI
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei Crank-Nicolson alternative direction implicit method for space-fractional diffusion equations with nonseparable coefficients. (English) Zbl 1422.65162 SIAM J. Numer. Anal. 57, No. 3, 997-1019 (2019). MSC: 65M06 65M12 65M22 35R11 PDFBibTeX XMLCite \textit{X.-L. Lin} et al., SIAM J. Numer. Anal. 57, No. 3, 997--1019 (2019; Zbl 1422.65162) Full Text: DOI
Alzahrani, S. S.; Khaliq, A. Q. M. Fourier spectral exponential time differencing methods for multi-dimensional space-fractional reaction-diffusion equations. (English) Zbl 1422.65276 J. Comput. Appl. Math. 361, 157-175 (2019). MSC: 65M70 65N35 65M06 65L06 41A21 35R11 PDFBibTeX XMLCite \textit{S. S. Alzahrani} and \textit{A. Q. M. Khaliq}, J. Comput. Appl. Math. 361, 157--175 (2019; Zbl 1422.65276) Full Text: DOI
Chen, Wenping; Lu, Shujuan; Chen, Hu; Liu, Haiyu Crank-Nicolson Legendre spectral approximation for space-fractional Allen-Cahn equation. (English) Zbl 1416.65376 Electron. J. Differ. Equ. 2019, Paper No. 76, 17 p. (2019). MSC: 65M70 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{W. Chen} et al., Electron. J. Differ. Equ. 2019, Paper No. 76, 17 p. (2019; Zbl 1416.65376) Full Text: Link
Kumar, Sushil; Piret, Cécile Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials. (English) Zbl 1419.65082 Appl. Numer. Math. 143, 300-315 (2019). MSC: 65M70 41A50 65D05 35R11 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{C. Piret}, Appl. Numer. Math. 143, 300--315 (2019; Zbl 1419.65082) Full Text: DOI
Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre Multigrid methods for discrete fractional Sobolev spaces. (English) Zbl 1419.65102 SIAM J. Sci. Comput. 41, No. 2, A948-A972 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N55 65F10 35R11 65F08 PDFBibTeX XMLCite \textit{T. Bærland} et al., SIAM J. Sci. Comput. 41, No. 2, A948--A972 (2019; Zbl 1419.65102) Full Text: DOI arXiv
Liu, Fang; Liang, Zongqi; Yan, Yubin Optimal convergence rates for semidiscrete finite element approximations of linear space-fractional partial differential equations under minimal regularity assumptions. (English) Zbl 1410.65348 J. Comput. Appl. Math. 352, 409-425 (2019). MSC: 65M12 65M06 65M70 35S10 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Comput. Appl. Math. 352, 409--425 (2019; Zbl 1410.65348) Full Text: DOI Link
Moret, Igor; Novati, Paolo Krylov subspace methods for functions of fractional differential operators. (English) Zbl 1476.65083 Math. Comput. 88, No. 315, 293-312 (2019). Reviewer: Martin Plešinger (Liberec) MSC: 65J10 65M22 35R11 PDFBibTeX XMLCite \textit{I. Moret} and \textit{P. Novati}, Math. Comput. 88, No. 315, 293--312 (2019; Zbl 1476.65083) Full Text: DOI Link
Yousuf, M. A second-order efficient \(L\)-stable numerical method for space fractional reaction-diffusion equations. (English) Zbl 1499.35696 Int. J. Comput. Math. 95, No. 6-7, 1408-1422 (2018). MSC: 35R11 65N12 65N06 35B30 35B65 PDFBibTeX XMLCite \textit{M. Yousuf}, Int. J. Comput. Math. 95, No. 6--7, 1408--1422 (2018; Zbl 1499.35696) Full Text: DOI
Iyiola, O. S.; Asante-Asamani, E. O.; Furati, K. M.; Khaliq, A. Q. M.; Wade, B. A. Efficient time discretization scheme for nonlinear space fractional reaction-diffusion equations. (English) Zbl 1499.65395 Int. J. Comput. Math. 95, No. 6-7, 1274-1291 (2018). MSC: 65M06 35K57 35R11 65M20 PDFBibTeX XMLCite \textit{O. S. Iyiola} et al., Int. J. Comput. Math. 95, No. 6--7, 1274--1291 (2018; Zbl 1499.65395) Full Text: DOI
Yue, X. Q.; Bu, W. P.; Shu, S.; Liu, M. H.; Wang, S. Fully finite element adaptive AMG method for time-space Caputo-Riesz fractional diffusion equations. (English) Zbl 1488.65484 Adv. Appl. Math. Mech. 10, No. 5, 1103-1125 (2018). MSC: 65M60 35R11 65M50 65M55 26A33 65M15 65F35 65F50 65F10 PDFBibTeX XMLCite \textit{X. Q. Yue} et al., Adv. Appl. Math. Mech. 10, No. 5, 1103--1125 (2018; Zbl 1488.65484) Full Text: DOI arXiv
Huang, Chengming; Wu, Shu-Lin Convergence of parareal algorithms for PDEs with fractional Laplacian and a non-constant coefficient. (English) Zbl 1468.65096 East Asian J. Appl. Math. 8, No. 4, 746-763 (2018). MSC: 65M06 65M12 65Y05 35R11 PDFBibTeX XMLCite \textit{C. Huang} and \textit{S.-L. Wu}, East Asian J. Appl. Math. 8, No. 4, 746--763 (2018; Zbl 1468.65096) Full Text: DOI
Chen, Shanzhen; Liu, Fawang; Turner, Ian; Hu, Xiuling Numerical inversion of the fractional derivative index and surface thermal flux for an anomalous heat conduction model in a multi-layer medium. (English) Zbl 1480.35389 Appl. Math. Modelling 59, 514-526 (2018). MSC: 35R11 35R05 65M32 PDFBibTeX XMLCite \textit{S. Chen} et al., Appl. Math. Modelling 59, 514--526 (2018; Zbl 1480.35389) Full Text: DOI Link
Chen, Hao; Zhang, Tongtong; Lv, Wen Block preconditioning strategies for time-space fractional diffusion equations. (English) Zbl 1427.65219 Appl. Math. Comput. 337, 41-53 (2018). MSC: 65M22 35R11 65F08 65M06 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math. Comput. 337, 41--53 (2018; Zbl 1427.65219) Full Text: DOI
Stoll, Martin; Yücel, Hamdullah Symmetric interior penalty Galerkin method for fractional-in-space phase-field equations. (English) Zbl 1427.65261 AIMS Math. 3, No. 1, 66-95 (2018). MSC: 65M60 35K20 35R11 35Q92 65M06 65D30 PDFBibTeX XMLCite \textit{M. Stoll} and \textit{H. Yücel}, AIMS Math. 3, No. 1, 66--95 (2018; Zbl 1427.65261) Full Text: DOI
Somathilake, Lekam Watte; Burrage, Kevin A space-fractional-reaction-diffusion model for pattern formation in coral reefs. (English) Zbl 1426.92007 Cogent Math. Stat. 5, Article ID 1426524, 21 p. (2018). MSC: 92C15 35K57 35R11 35Q92 65M70 PDFBibTeX XMLCite \textit{L. W. Somathilake} and \textit{K. Burrage}, Cogent Math. Stat. 5, Article ID 1426524, 21 p. (2018; Zbl 1426.92007) Full Text: DOI
Iyiola, O. S.; Wade, B. A. Exponential integrator methods for systems of non-linear space-fractional models with super-diffusion processes in pattern formation. (English) Zbl 1419.65022 Comput. Math. Appl. 75, No. 10, 3719-3736 (2018). MSC: 65M06 35R11 92C37 92C15 35Q92 PDFBibTeX XMLCite \textit{O. S. Iyiola} and \textit{B. A. Wade}, Comput. Math. Appl. 75, No. 10, 3719--3736 (2018; Zbl 1419.65022) Full Text: DOI
Duo, Siwei; Ju, Lili; Zhang, Yanzhi A fast algorithm for solving the space-time fractional diffusion equation. (English) Zbl 1409.65053 Comput. Math. Appl. 75, No. 6, 1929-1941 (2018). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{S. Duo} et al., Comput. Math. Appl. 75, No. 6, 1929--1941 (2018; Zbl 1409.65053) Full Text: DOI
Wang, Yuan-Ming; Wang, Tao A compact ADI method and its extrapolation for time fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions. (English) Zbl 1409.65058 Comput. Math. Appl. 75, No. 3, 721-739 (2018). MSC: 65M06 65M22 35R11 PDFBibTeX XMLCite \textit{Y.-M. Wang} and \textit{T. Wang}, Comput. Math. Appl. 75, No. 3, 721--739 (2018; Zbl 1409.65058) Full Text: DOI
Lin, Zeng; Liu, Fawang; Wang, Dongdong; Gu, Yuantong Reproducing kernel particle method for two-dimensional time-space fractional diffusion equations in irregular domains. (English) Zbl 1404.65095 Eng. Anal. Bound. Elem. 97, 131-143 (2018). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{Z. Lin} et al., Eng. Anal. Bound. Elem. 97, 131--143 (2018; Zbl 1404.65095) Full Text: DOI
Jafarabadi, Ahmad; Shivanian, Elyas Numerical simulation of nonlinear coupled Burgers’ equation through meshless radial point interpolation method. (English) Zbl 1403.76141 Eng. Anal. Bound. Elem. 95, 187-199 (2018). MSC: 76M22 65M70 35Q53 PDFBibTeX XMLCite \textit{A. Jafarabadi} and \textit{E. Shivanian}, Eng. Anal. Bound. Elem. 95, 187--199 (2018; Zbl 1403.76141) Full Text: DOI
Liu, Zhengguang; Cheng, Aijie; Li, Xiaoli A novel finite difference discrete scheme for the time fractional diffusion-wave equation. (English) Zbl 1397.65141 Appl. Numer. Math. 134, 17-30 (2018). MSC: 65M06 35R11 65M12 35R09 65M15 PDFBibTeX XMLCite \textit{Z. Liu} et al., Appl. Numer. Math. 134, 17--30 (2018; Zbl 1397.65141) Full Text: DOI
Shivanian, Elyas; Jafarabadi, Ahmad The numerical solution for the time-fractional inverse problem of diffusion equation. (English) Zbl 1403.65053 Eng. Anal. Bound. Elem. 91, 50-59 (2018). MSC: 65M32 65M70 35R11 PDFBibTeX XMLCite \textit{E. Shivanian} and \textit{A. Jafarabadi}, Eng. Anal. Bound. Elem. 91, 50--59 (2018; Zbl 1403.65053) Full Text: DOI
Vabishchevich, P. N. Numerical solution of time-dependent problems with a fractional-power elliptic operator. (English. Russian original) Zbl 1457.65136 Comput. Math. Math. Phys. 58, No. 3, 394-409 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 3, 414-430 (2018). MSC: 65M60 65M22 35J25 35R11 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Comput. Math. Math. Phys. 58, No. 3, 394--409 (2018; Zbl 1457.65136); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 3, 414--430 (2018) Full Text: DOI
Shivanian, Elyas; Jafarabadi, Ahmad An improved meshless algorithm for a kind of fractional cable problem with error estimate. (English) Zbl 1448.65119 Chaos Solitons Fractals 110, 138-151 (2018). MSC: 65M06 65M70 65M12 65M15 35R11 26A33 92C20 35Q92 PDFBibTeX XMLCite \textit{E. Shivanian} and \textit{A. Jafarabadi}, Chaos Solitons Fractals 110, 138--151 (2018; Zbl 1448.65119) Full Text: DOI
Cusimano, N.; Gerardo-Giorda, L. A space-fractional monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries. (English) Zbl 1390.92037 J. Comput. Phys. 362, 409-424 (2018). MSC: 92C30 65M60 35R11 PDFBibTeX XMLCite \textit{N. Cusimano} and \textit{L. Gerardo-Giorda}, J. Comput. Phys. 362, 409--424 (2018; Zbl 1390.92037) Full Text: DOI Link
Chen, Hao; Lv, Wen; Zhang, Tongtong A Kronecker product splitting preconditioner for two-dimensional space-fractional diffusion equations. (English) Zbl 1395.65007 J. Comput. Phys. 360, 1-14 (2018). MSC: 65F08 65M06 65F10 35R11 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Comput. Phys. 360, 1--14 (2018; Zbl 1395.65007) Full Text: DOI
Vabishchevich, Petr N. Numerical solution of time-dependent problems with fractional power elliptic operator. (English) Zbl 1383.65128 Comput. Methods Appl. Math. 18, No. 1, 111-128 (2018). MSC: 65M60 35K20 35R11 65M55 65M06 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Comput. Methods Appl. Math. 18, No. 1, 111--128 (2018; Zbl 1383.65128) Full Text: DOI arXiv
Lee, Hyun Geun A second-order operator splitting Fourier spectral method for fractional-in-space reaction-diffusion equations. (English) Zbl 1380.65305 J. Comput. Appl. Math. 333, 395-403 (2018). MSC: 65M70 35K57 35R11 65M12 PDFBibTeX XMLCite \textit{H. G. Lee}, J. Comput. Appl. Math. 333, 395--403 (2018; Zbl 1380.65305) Full Text: DOI
Ren, Lei; Wang, Yuan-Ming A fourth-order extrapolated compact difference method for time-fractional convection-reaction-diffusion equations with spatially variable coefficients. (English) Zbl 1427.65181 Appl. Math. Comput. 312, 1-22 (2017). MSC: 65M06 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{L. Ren} and \textit{Y.-M. Wang}, Appl. Math. Comput. 312, 1--22 (2017; Zbl 1427.65181) Full Text: DOI
Wu, Shulin An efficient parareal algorithm for a class of time-dependent problems with fractional Laplacian. (English) Zbl 1411.65144 Appl. Math. Comput. 307, 329-341 (2017). MSC: 65M99 65Y05 35R11 35Q31 PDFBibTeX XMLCite \textit{S. Wu}, Appl. Math. Comput. 307, 329--341 (2017; Zbl 1411.65144) Full Text: DOI
Chen, S.; Jiang, X. Y. Parameters estimation for a new anomalous thermal diffusion model in layered media. (English) Zbl 1409.35235 Comput. Math. Appl. 73, No. 6, 1172-1181 (2017). MSC: 35R30 35R11 35Q79 PDFBibTeX XMLCite \textit{S. Chen} and \textit{X. Y. Jiang}, Comput. Math. Appl. 73, No. 6, 1172--1181 (2017; Zbl 1409.35235) Full Text: DOI
Wang, Hong; Yang, Danping Wellposedness of Neumann boundary-value problems of space-fractional differential equations. (English) Zbl 1439.35548 Fract. Calc. Appl. Anal. 20, No. 6, 1356-1381 (2017). MSC: 35R11 65F10 65M06 65M22 65T50 PDFBibTeX XMLCite \textit{H. Wang} and \textit{D. Yang}, Fract. Calc. Appl. Anal. 20, No. 6, 1356--1381 (2017; Zbl 1439.35548) Full Text: DOI arXiv
Hou, Tianliang; Tang, Tao; Yang, Jiang Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations. (English) Zbl 1379.65063 J. Sci. Comput. 72, No. 3, 1214-1231 (2017). Reviewer: Charis Harley (Johannesburg) MSC: 65M06 35Q35 35R11 65M12 65M15 35B50 65T50 PDFBibTeX XMLCite \textit{T. Hou} et al., J. Sci. Comput. 72, No. 3, 1214--1231 (2017; Zbl 1379.65063) Full Text: DOI
Song, Fangying; Xu, Chuanju; Karniadakis, George Em Computing fractional Laplacians on complex-geometry domains: algorithms and simulations. (English) Zbl 1380.65357 SIAM J. Sci. Comput. 39, No. 4, A1320-A1344 (2017). MSC: 65N25 35R11 35Q30 65N35 76M22 76D05 PDFBibTeX XMLCite \textit{F. Song} et al., SIAM J. Sci. Comput. 39, No. 4, A1320--A1344 (2017; Zbl 1380.65357) Full Text: DOI
Wu, Shu-Lin Three rapidly convergent parareal solvers with application to time-dependent PDEs with fractional Laplacian. (English) Zbl 1369.65113 Math. Methods Appl. Sci. 40, No. 11, 3912-3926 (2017). MSC: 65M20 35K20 65M12 65L06 PDFBibTeX XMLCite \textit{S.-L. Wu}, Math. Methods Appl. Sci. 40, No. 11, 3912--3926 (2017; Zbl 1369.65113) Full Text: DOI
Vabishchevich, Petr N. A singularly perturbed boundary value problems with fractional powers of elliptic operators. (English) Zbl 1368.65210 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 141-152 (2017). MSC: 65N06 35J25 35R11 35B25 35K70 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Lect. Notes Comput. Sci. 10187, 141--152 (2017; Zbl 1368.65210) Full Text: DOI arXiv
Lazarov, Raytcho; Vabishchevich, Petr A numerical study of the homogeneous elliptic equation with fractional boundary conditions. (English) Zbl 1364.65253 Fract. Calc. Appl. Anal. 20, No. 2, 337-351 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65M12 35R11 PDFBibTeX XMLCite \textit{R. Lazarov} and \textit{P. Vabishchevich}, Fract. Calc. Appl. Anal. 20, No. 2, 337--351 (2017; Zbl 1364.65253) Full Text: DOI arXiv
Salehi, Rezvan A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation. (English) Zbl 1365.65230 Numer. Algorithms 74, No. 4, 1145-1168 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65M70 65M15 35R11 35M13 35K05 35L05 65M12 PDFBibTeX XMLCite \textit{R. Salehi}, Numer. Algorithms 74, No. 4, 1145--1168 (2017; Zbl 1365.65230) Full Text: DOI
fu, Hongfei; Wang, Hong A preconditioned fast finite difference method for space-time fractional partial differential equations. (English) Zbl 1360.65221 Fract. Calc. Appl. Anal. 20, No. 1, 88-116 (2017). MSC: 65M06 35R11 65F10 65M22 65T50 PDFBibTeX XMLCite \textit{H. fu} and \textit{H. Wang}, Fract. Calc. Appl. Anal. 20, No. 1, 88--116 (2017; Zbl 1360.65221) Full Text: DOI
Aceto, Lidia; Novati, Paolo Rational approximation to the fractional Laplacian operator in reaction-diffusion problems. (English) Zbl 1382.65123 SIAM J. Sci. Comput. 39, No. 1, A214-A228 (2017). MSC: 65F60 35R11 65D30 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{P. Novati}, SIAM J. Sci. Comput. 39, No. 1, A214--A228 (2017; Zbl 1382.65123) Full Text: DOI arXiv
Liu, Yanmei; Yan, Yubin; Khan, Monzorul Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations. (English) Zbl 1358.65066 Appl. Numer. Math. 115, 200-213 (2017). MSC: 65M60 35K05 35R11 65M15 PDFBibTeX XMLCite \textit{Y. Liu} et al., Appl. Numer. Math. 115, 200--213 (2017; Zbl 1358.65066) Full Text: DOI Link
Pang, Guofei; Chen, Wen; Sze, Kam Yim A comparative study of finite element and finite difference methods for two-dimensional space-fractional advection-dispersion equation. (English) Zbl 1499.65517 Adv. Appl. Math. Mech. 8, No. 1, 166-186 (2016). MSC: 65M60 65M06 35R11 65M12 26A33 35R05 PDFBibTeX XMLCite \textit{G. Pang} et al., Adv. Appl. Math. Mech. 8, No. 1, 166--186 (2016; Zbl 1499.65517) Full Text: DOI
Vabishchevich, Petr N. Numerical solving unsteady space-fractional problems with the square root of an elliptic operator. (English) Zbl 1499.65438 Math. Model. Anal. 21, No. 2, 220-238 (2016). MSC: 65M06 26A33 35R11 65F60 65N06 76R50 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Math. Model. Anal. 21, No. 2, 220--238 (2016; Zbl 1499.65438) Full Text: DOI arXiv
Song, Fangying; Xu, Chuanju; Karniadakis, George Em A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations. (English) Zbl 1423.76102 Comput. Methods Appl. Mech. Eng. 305, 376-404 (2016). MSC: 76D05 76M22 76Txx PDFBibTeX XMLCite \textit{F. Song} et al., Comput. Methods Appl. Mech. Eng. 305, 376--404 (2016; Zbl 1423.76102) Full Text: DOI
Dolgov, Sergey; Pearson, John W.; Savostyanov, Dmitry V.; Stoll, Martin Fast tensor product solvers for optimization problems with fractional differential equations as constraints. (English) Zbl 1410.49018 Appl. Math. Comput. 273, 604-623 (2016). MSC: 49K20 35R11 49M25 PDFBibTeX XMLCite \textit{S. Dolgov} et al., Appl. Math. Comput. 273, 604--623 (2016; Zbl 1410.49018) Full Text: DOI Link