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1.Exponentially fitted IMEX methods for advection-diffusion problems

作者：Angelamaria Cardone ^{ancardone@unisa.it} ; Raffaele D'Ambrosio ; ^{rdambrosio@unisa.it} ; Beatrice Paternoster ^{beapat@unisa.it}

关键词：Advection&ndash ; diffusion problems ; Finite differences ; Exponential fitting ; IMEX methods ; Stability analysis

刊名：Journal of Computational and Applied Mathematics

出版年：2017

2.A high-order discontinuous Galerkin method for unsteady advection-diffusion problems

作者：Raunak Borker^a ; ^{rborker@stanford.edu} ; Charbel Farhat^a ; ^b ; ^c ; ^{cfarhat@stanford.edu} ; Radek Tezaur^a ; ^{rtezaur@stanford.edu}

关键词：Unsteady advection&ndash ; diffusion ; Discontinuous Galerkin ; Lagrange multipliers ; High-order ; Enriched finite element methods

刊名：Journal of Computational Physics

出版年：2017

3.A type of high order schemes for steady convection-diffusion problems

作者：Mingtian Xu ^{mingtian@sdu.edu.cn}

关键词：Convection-diffusion equation ; Finite volume method ; QUICK scheme

刊名：International Journal of Heat and Mass Transfer

出版年：2017

4.Finite difference approximation of space-fractional diffusion problems: The matrix transformation method

作者：Bé ; la J. Szekeres ^{szbpagt@cs.elte.hu} ; Ferenc Izsá ; k ; ^{izsakf@cs.elte.hu}

关键词：Fractional-order diffusion ; Matrix transformation method ; Finite difference method

刊名：Computers & Mathematics with Applications

出版年：2017

5.A higher order non-polynomial spline method for fractional sub-diffusion problems

作者：Xuhao Li ^{lixu0015@e.ntu.edu.sg" class="auth_mail" title="E-mail the corresponding author} ; Patricia J.Y. Wong ; ^{ejywong@ntu.edu.sg" class="auth_mail" title="E-mail the corresponding author}

关键词：Parametric spline ; Quintic spline ; Sub-diffusion equation ; Fractional differential equation ; Numerical solution

刊名：Journal of Computational Physics

出版年：2017

6.Arbitrary dimension convection-diffusion schemes for space-time discretizations

作者：Randolph E. Bank^a ; ^{rbank@ucsd.edu" class="auth_mail" title="E-mail the corresponding author} ; Panayot S. Vassilevski^b ; ^{panayot@llnl.gov" class="auth_mail" title="E-mail the corresponding author} ; Ludmil T. Zikatanov^c ; ^d ; ^{ludmil@psu.edu" class="auth_mail" title="E-mail the corresponding author}

关键词：Space&ndash ; time formulation ; Convection&ndash ; diffusion problems ; Finite-element method ; Exponential fitting ; Streamline-diffusion

刊名：Journal of Computational and Applied Mathematics

出版年：2017

7.Molecular dynamics simulations of substitutional diffusion

作者：X.W. Zhou ; ^{xzhou@sandia.gov} ; R.E. Jones ; J. Gruber

关键词：Diffusion ; Molecular dynamics ; Semiconductor compound

刊名：Computational Materials Science

出版年：2017

8.A mesh free floating random walk method for solving diffusion imaging problems

作者：Karl K. Sabelfeld ; ^{karl@osmf.sscc.ru}

关键词：65C05 ; 65C20 ; 65Z05

刊名：Statistics & Probability Letters

出版年：2017

9.A parametric finite element method for solid-state dewetting problems with anisotropic surface energies

作者：Weizhu Bao^a ; ^{matbaowz@nus.edu.sg} ; Wei Jiang^b ; ^c ; ^{jiangwei1007@whu.edu.cn} ; Yan Wang^a ; ^{a0086260@u.nus.edu} ; Quan Zhao^a ; ^{a0109999@u.nus.edu}

关键词：Solid-state dewetting ; Surface diffusion ; Contact line migration ; Anisotropic surface energy ; Parametric finite element method

刊名：Journal of Computational Physics

出版年：2017

10.On a Riesz-Feller space fractional backward diffusion problem with a nonlinear source

作者：Nguyen Huy Tuan^a ; Dinh Nguyen Duy Hai^b ; Le Dinh Long^c ; Van Thinh Nguyen^d ; Mokhtar Kirane^e ; ^f ; ^{mokhtar.kirane@univ-lr.fr" class="auth_mail" title="E-mail the corresponding author}

关键词：Space-fractional backward diffusion problem ; Ill-posed problem ; Regularization ; Error estimate

刊名：Journal of Computational and Applied Mathematics

出版年：2017

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