TY - JOUR AU - Baeumer, B. AU - Meerschaert, M. PY - 2010 DA - 2010// TI - Tempered stable Lévy motion and transient super-diffusion JO - J. Comput. Appl. Math. VL - 233 UR - https://doi.org/10.1016/j.cam.2009.10.027 DO - 10.1016/j.cam.2009.10.027 ID - Baeumer2010 ER - TY - JOUR AU - Çelik, C. AU - Duman, M. PY - 2017 DA - 2017// TI - Finite element method for a symmetric tempered fractional diffusion equation JO - Appl. Numer. Math. VL - 120 UR - https://doi.org/10.1016/j.apnum.2017.05.012 DO - 10.1016/j.apnum.2017.05.012 ID - Çelik2017 ER - TY - JOUR AU - Dehghan, M. AU - Abbaszadeh, M. PY - 2017 DA - 2017// TI - Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis JO - Appl. Numer. Math. VL - 119 UR - https://doi.org/10.1016/j.apnum.2017.03.009 DO - 10.1016/j.apnum.2017.03.009 ID - Dehghan2017 ER - TY - JOUR AU - Dehghan, M. AU - Abbaszadeh, M. PY - 2018 DA - 2018// TI - An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch–Torrey equations JO - Appl. Numer. Math. VL - 131 UR - https://doi.org/10.1016/j.apnum.2018.04.009 DO - 10.1016/j.apnum.2018.04.009 ID - Dehghan2018 ER - TY - JOUR AU - Dehghan, M. AU - Abbaszadeh, M. PY - 2018 DA - 2018// TI - A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation JO - Comput. Math. Appl. VL - 75 UR - https://doi.org/10.1016/j.camwa.2018.01.020 DO - 10.1016/j.camwa.2018.01.020 ID - Dehghan2018 ER - TY - JOUR AU - Dehghan, M. AU - Abbaszadeh, M. AU - Deng, W. PY - 2017 DA - 2017// TI - Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation JO - Appl. Math. Lett. VL - 73 UR - https://doi.org/10.1016/j.aml.2017.04.011 DO - 10.1016/j.aml.2017.04.011 ID - Dehghan2017 ER - TY - JOUR AU - Dehghan, M. AU - Manafian, J. AU - Saadatmandi, A. PY - 2010 DA - 2010// TI - Solving nonlinear fractional partial differential equations using the homotopy analysis method JO - Numer. Methods Partial Differ. Equ. VL - 26 ID - Dehghan2010 ER - TY - JOUR AU - Deng, W. AU - Zhang, Z. PY - 2017 DA - 2017// TI - Numerical schemes of the time tempered fractional Feynman–Kac equation JO - Comput. Math. Appl. VL - 73 UR - https://doi.org/10.1016/j.camwa.2016.12.017 DO - 10.1016/j.camwa.2016.12.017 ID - Deng2017 ER - TY - JOUR AU - Hanert, E. AU - Piret, C. PY - 2014 DA - 2014// TI - A Chebyshev pseudospectral method to solve the space-time tempered fractional diffusion equation JO - SIAM J. Sci. Comput. VL - 36 UR - https://doi.org/10.1137/130927292 DO - 10.1137/130927292 ID - Hanert2014 ER - TY - JOUR AU - Heydari, M. AU - Hooshmandasl, M. AU - Ghaini, F. AU - Cattani, C. PY - 2015 DA - 2015// TI - Wavelets method for the time fractional diffusion-wave equation JO - Phys. Lett. A VL - 379 UR - https://doi.org/10.1016/j.physleta.2014.11.012 DO - 10.1016/j.physleta.2014.11.012 ID - Heydari2015 ER - TY - JOUR AU - Hooshmandasl, M. AU - Heydari, M. AU - Cattani, C. PY - 2016 DA - 2016// TI - Numerical solution of fractional sub-diffusion and time-fractional diffusion-wave equations via fractional-order Legendre functions JO - Eur. Phys. J. Plus VL - 131 UR - https://doi.org/10.1140/epjp/i2016-16268-2 DO - 10.1140/epjp/i2016-16268-2 ID - Hooshmandasl2016 ER - TY - JOUR AU - Hu, D. AU - Cao, X. PY - 2019 DA - 2019// TI - The implicit midpoint method for Riesz tempered fractional diffusion equation with a nonlinear source term JO - Adv. Differ. Equ. VL - 2019 UR - https://doi.org/10.1186/s13662-019-1990-y DO - 10.1186/s13662-019-1990-y ID - Hu2019 ER - TY - JOUR AU - Hu, D. AU - Cao, X. PY - 2019 DA - 2019// TI - A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equation JO - Int. J. Comput. Math. UR - https://doi.org/10.1080/00207160.2019.1671587 DO - 10.1080/00207160.2019.1671587 ID - Hu2019 ER - TY - JOUR AU - Li, C. AU - Deng, W. PY - 2016 DA - 2016// TI - High order schemes for the tempered fractional diffusion equations JO - Adv. Comput. Math. VL - 42 UR - https://doi.org/10.1007/s10444-015-9434-z DO - 10.1007/s10444-015-9434-z ID - Li2016 ER - TY - JOUR AU - Meerschaert, M. AU - Sabzikar, F. PY - 2014 DA - 2014// TI - Stochastic integration for tempered fractional Brownian motion JO - Stoch. Process. Appl. VL - 124 UR - https://doi.org/10.1016/j.spa.2014.03.002 DO - 10.1016/j.spa.2014.03.002 ID - Meerschaert2014 ER - TY - JOUR AU - Moghaddam, B. AU - Machado, J. AU - Babaei, A. PY - 2018 DA - 2018// TI - A computationally efficient method for tempered fractional differential equations with application JO - Comput. Appl. Math. VL - 37 UR - https://doi.org/10.1007/s40314-017-0522-1 DO - 10.1007/s40314-017-0522-1 ID - Moghaddam2018 ER - TY - JOUR AU - Morgado, M. AU - Rebelo, M. PY - 2017 DA - 2017// TI - Well-posedness and numerical approximation of tempered fractional terminal value problems JO - Fract. Calc. Appl. Anal. VL - 20 UR - https://doi.org/10.1515/fca-2017-0065 DO - 10.1515/fca-2017-0065 ID - Morgado2017 ER - TY - JOUR AU - Qu, W. AU - Liang, Y. PY - 2017 DA - 2017// TI - Stability and convergence of the Crank–Nicolson scheme for a class of variable-coefficient tempered fractional diffusion equations JO - Adv. Differ. Equ. VL - 2017 UR - https://doi.org/10.1186/s13662-017-1150-1 DO - 10.1186/s13662-017-1150-1 ID - Qu2017 ER - TY - BOOK AU - Quarteroni, A. AU - Sacco, R. AU - Saleri, F. PY - 2010 DA - 2010// TI - Numerical Mathematics PB - Springer CY - Berlin ID - Quarteroni2010 ER - TY - CHAP AU - Rall, L. PY - 2006 DA - 2006// TI - Perspectives on automatic differentiation: past, present, and future? BT - Automatic Differentiation: Applications, Theory, and Implementations PB - Springer CY - Berlin ID - Rall2006 ER - TY - JOUR AU - Sabzikar, F. AU - Meerschaert, M. AU - Chen, J. PY - 2015 DA - 2015// TI - Tempered fractional calculus JO - J. Comput. Phys. VL - 293 UR - https://doi.org/10.1016/j.jcp.2014.04.024 DO - 10.1016/j.jcp.2014.04.024 ID - Sabzikar2015 ER - TY - JOUR AU - Sun, X. AU - Zhao, F. AU - Chen, S. PY - 2017 DA - 2017// TI - Numerical algorithms for the time-space tempered fractional Fokker–Planck equation JO - Adv. Differ. Equ. VL - 2017 UR - https://doi.org/10.1186/s13662-017-1317-9 DO - 10.1186/s13662-017-1317-9 ID - Sun2017 ER - TY - BOOK AU - Varga, R. PY - 2009 DA - 2009// TI - Matrix Iterative Analysis PB - Springer CY - Berlin ID - Varga2009 ER - TY - JOUR AU - Yu, Y. AU - Deng, W. AU - Wu, Y. PY - 2017 DA - 2017// TI - High-order quasi-compact difference schemes for fractional diffusion equations JO - Commun. Math. Sci. VL - 15 UR - https://doi.org/10.4310/CMS.2017.v15.n5.a1 DO - 10.4310/CMS.2017.v15.n5.a1 ID - Yu2017 ER - TY - JOUR AU - Yu, Y. AU - Deng, W. AU - Wu, Y. AU - Wu, J. PY - 2017 DA - 2017// TI - Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations JO - Appl. Numer. Math. VL - 112 UR - https://doi.org/10.1016/j.apnum.2016.10.011 DO - 10.1016/j.apnum.2016.10.011 ID - Yu2017 ER - TY - JOUR AU - Zhang, H. AU - Liu, F. AU - Turner, I. AU - Chen, S. PY - 2016 DA - 2016// TI - The numerical simulation of the tempered fractional Black–Scholes equation for European double barrier option JO - Appl. Math. Model. VL - 40 UR - https://doi.org/10.1016/j.apm.2016.01.027 DO - 10.1016/j.apm.2016.01.027 ID - Zhang2016 ER - TY - JOUR AU - Zhang, Y. AU - Li, Q. AU - Ding, H. PY - 2018 DA - 2018// TI - High-order numerical approximation formulas for Riemann–Liouville (Riesz) tempered fractional derivatives: construction and application (I) JO - Appl. Math. Comput. VL - 329 UR - https://doi.org/10.1016/j.cam.2017.05.034 DO - 10.1016/j.cam.2017.05.034 ID - Zhang2018 ER -