Pescimoro, Eugenio; Icardi, Matteo; Porta, Giovanni; Bianchi, Marco Emergence of non-Fickian transport in truncated pluri-Gaussian permeability fields. (English) Zbl 1508.76104 GEM. Int. J. Geomath. 13, Paper No. 17, 27 p. (2022). MSC: 76R99 76S05 76M35 76M12 86A05 PDFBibTeX XMLCite \textit{E. Pescimoro} et al., GEM. Int. J. Geomath. 13, Paper No. 17, 27 p. (2022; Zbl 1508.76104) Full Text: DOI arXiv
Bonicatto, Paolo; Ciampa, Gennaro; Crippa, Gianluca On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity. (English. French summary) Zbl 1500.35015 J. Math. Pures Appl. (9) 167, 204-224 (2022). MSC: 35B25 35F16 35K20 35Q49 PDFBibTeX XMLCite \textit{P. Bonicatto} et al., J. Math. Pures Appl. (9) 167, 204--224 (2022; Zbl 1500.35015) Full Text: DOI arXiv
Saeed, Ihsan Lateef; Javidi, Mohammad; Heris, Mahdi Saedshoar On numerical methods for solving Riesz space fractional advection-dispersion equations based on spline interpolants. (English) Zbl 1513.65444 Comput. Appl. Math. 41, No. 7, Paper No. 314, 31 p. (2022). MSC: 65N06 35R11 65L20 65N22 65R20 PDFBibTeX XMLCite \textit{I. L. Saeed} et al., Comput. Appl. Math. 41, No. 7, Paper No. 314, 31 p. (2022; Zbl 1513.65444) Full Text: DOI
Chaikovskii, Dmitrii; Zhang, Ye Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations. (English) Zbl 07599633 J. Comput. Phys. 470, Article ID 111609, 32 p. (2022). MSC: 65Mxx 35Kxx 35Rxx PDFBibTeX XMLCite \textit{D. Chaikovskii} and \textit{Y. Zhang}, J. Comput. Phys. 470, Article ID 111609, 32 p. (2022; Zbl 07599633) Full Text: DOI arXiv
Suleiman, Kheder; Song, Qixuan; Zhang, Xuelan; Liu, Shengna; Zheng, Liancun Anomalous diffusion in a circular comb with external velocity field. (English) Zbl 1498.35337 Chaos Solitons Fractals 155, Article ID 111742, 7 p. (2022). MSC: 35K57 PDFBibTeX XMLCite \textit{K. Suleiman} et al., Chaos Solitons Fractals 155, Article ID 111742, 7 p. (2022; Zbl 1498.35337) Full Text: DOI
Ambekar, Aniket S.; Rüde, Ulrich; Buwa, Vivek V. Forces governing the dynamics of liquid spreading in packed beds. (English) Zbl 1517.76072 J. Fluid Mech. 948, Paper No. A13, 21 p. (2022). MSC: 76T30 76D05 76D45 76M12 PDFBibTeX XMLCite \textit{A. S. Ambekar} et al., J. Fluid Mech. 948, Paper No. A13, 21 p. (2022; Zbl 1517.76072) Full Text: DOI
Blanc, Xavier; Le Bris, Claude Homogenization in a periodic medium… or not. An introduction. (Homogénéisation en milieu périodique… ou non. Une introduction.) (French) Zbl 07581840 Mathématiques et Applications 88. Cham: Springer (ISBN 978-3-031-12800-4/pbk; 978-3-031-12801-1/ebook). xviii, 488 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35-02 35B27 35B40 35C20 35R60 49J45 65M60 PDFBibTeX XMLCite \textit{X. Blanc} and \textit{C. Le Bris}, Homogénéisation en milieu périodique{\dots} ou non. Une introduction. Cham: Springer (2022; Zbl 07581840) Full Text: DOI
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna A multi-layer reactive transport model for fractured porous media. (English) Zbl 1515.76162 Math. Eng. (Springfield) 4, No. 1, Paper No. 8, 32 p. (2022). MSC: 76V05 76S05 76M10 76M20 PDFBibTeX XMLCite \textit{L. Formaggia} et al., Math. Eng. (Springfield) 4, No. 1, Paper No. 8, 32 p. (2022; Zbl 1515.76162) Full Text: DOI arXiv
Mohammadi, S.; Ghasemi, M.; Fardi, M. A fast Fourier spectral exponential time-differencing method for solving the time-fractional mobile-immobile advection-dispersion equation. (English) Zbl 1524.65671 Comput. Appl. Math. 41, No. 6, Paper No. 264, 26 p. (2022). MSC: 65M70 35R11 65L06 65T50 65M12 PDFBibTeX XMLCite \textit{S. Mohammadi} et al., Comput. Appl. Math. 41, No. 6, Paper No. 264, 26 p. (2022; Zbl 1524.65671) Full Text: DOI
Egidi, Nadaniela; Giacomini, Josephin; Maponi, Pierluigi; Perticarini, Alessia; Cognigni, Luca; Fioretti, Lauro An advection-diffusion-reaction model for coffee percolation. (English) Zbl 1513.65282 Comput. Appl. Math. 41, No. 6, Paper No. 229, 23 p. (2022). MSC: 65M06 35G31 PDFBibTeX XMLCite \textit{N. Egidi} et al., Comput. Appl. Math. 41, No. 6, Paper No. 229, 23 p. (2022; Zbl 1513.65282) Full Text: DOI
Ma, Chuwen; Zhang, Qinghai; Zheng, Weiying A fourth-order unfitted characteristic finite element method for solving the advection-diffusion equation on time-varying domains. (English) Zbl 1503.65240 SIAM J. Numer. Anal. 60, No. 4, 2203-2224 (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65M60 65M06 65N30 65M12 65M15 65L06 76R50 76T30 35R37 PDFBibTeX XMLCite \textit{C. Ma} et al., SIAM J. Numer. Anal. 60, No. 4, 2203--2224 (2022; Zbl 1503.65240) Full Text: DOI arXiv
Schoutrop, Chris; ten Thije Boonkkamp, Jan; van Dijk, Jan Reliability investigation of BiCGStab and IDR solvers for the advection-diffusion-reaction equation. (English) Zbl 1492.65081 Commun. Comput. Phys. 32, No. 1, 156-188 (2022). MSC: 65F10 15A06 15A18 15B05 PDFBibTeX XMLCite \textit{C. Schoutrop} et al., Commun. Comput. Phys. 32, No. 1, 156--188 (2022; Zbl 1492.65081) Full Text: DOI
Auricchio, Ferdinando A continuous model for the simulation of manufacturing swarm robotics. (English) Zbl 1495.76104 Comput. Mech. 70, No. 1, 155-162 (2022). MSC: 76R99 76A99 76-10 76M20 PDFBibTeX XMLCite \textit{F. Auricchio}, Comput. Mech. 70, No. 1, 155--162 (2022; Zbl 1495.76104) Full Text: DOI
Al Jahdali, R.; Dalcin, L.; Boukharfane, R.; Nolasco, I. R.; Keyes, D. E.; Parsani, M. Optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics. (English) Zbl 1524.65264 Comput. Math. Appl. 118, 1-17 (2022). MSC: 65L06 65M12 65M60 76M10 PDFBibTeX XMLCite \textit{R. Al Jahdali} et al., Comput. Math. Appl. 118, 1--17 (2022; Zbl 1524.65264) Full Text: DOI
Savović, Svetislav; Drljača, Branko; Djordjevich, Alexandar A comparative study of two different finite difference methods for solving advection-diffusion reaction equation for modeling exponential traveling wave in heat and mass transfer processes. (English) Zbl 1490.65160 Ric. Mat. 71, No. 1, 245-252 (2022). MSC: 65M06 35K57 80A19 65L12 PDFBibTeX XMLCite \textit{S. Savović} et al., Ric. Mat. 71, No. 1, 245--252 (2022; Zbl 1490.65160) Full Text: DOI
Harris, S. J.; Mcdonald, N. R. Fingering instability in wildfire fronts. (English) Zbl 1510.76057 J. Fluid Mech. 943, Paper No. A34, 26 p. (2022). MSC: 76E17 76V05 80A25 PDFBibTeX XMLCite \textit{S. J. Harris} and \textit{N. R. Mcdonald}, J. Fluid Mech. 943, Paper No. A34, 26 p. (2022; Zbl 1510.76057) Full Text: DOI
Macià, F.; Merino-Alonso, P. E.; Souto-Iglesias, A. On the convergence of the solutions to the integral SPH heat and advection-diffusion equations: theoretical analysis and numerical verification. (English) Zbl 1507.76167 Comput. Methods Appl. Mech. Eng. 397, Article ID 115045, 25 p. (2022). MSC: 76M28 65M75 PDFBibTeX XMLCite \textit{F. Macià} et al., Comput. Methods Appl. Mech. Eng. 397, Article ID 115045, 25 p. (2022; Zbl 1507.76167) Full Text: DOI
Zhang, Yun; Wei, Ting; Yan, Xiongbin Recovery of advection coefficient and fractional order in a time-fractional reaction-advection-diffusion-wave equation. (English) Zbl 1490.35545 J. Comput. Appl. Math. 411, Article ID 114254, 20 p. (2022). MSC: 35R30 35K20 35K57 35L20 35R11 65M32 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Comput. Appl. Math. 411, Article ID 114254, 20 p. (2022; Zbl 1490.35545) Full Text: DOI
Clemon, L. M. Rapid estimation of viral emission source location via genetic algorithm. (English) Zbl 1495.76142 Comput. Mech. 69, No. 5, 1213-1224 (2022). MSC: 76Z05 76R99 76T99 76M99 92C60 PDFBibTeX XMLCite \textit{L. M. Clemon}, Comput. Mech. 69, No. 5, 1213--1224 (2022; Zbl 1495.76142) Full Text: DOI
Ataei, Mohammadmehdi; Pirmorad, Erfan; Costa, Franco; Han, Sejin; Park, Chul B.; Bussmann, Markus A hybrid lattice Boltzmann-molecular dynamics-immersed boundary method model for the simulation of composite foams. (English) Zbl 1490.76166 Comput. Mech. 69, No. 5, 1177-1190 (2022). MSC: 76M28 76P05 76S05 74F10 74E30 74A25 PDFBibTeX XMLCite \textit{M. Ataei} et al., Comput. Mech. 69, No. 5, 1177--1190 (2022; Zbl 1490.76166) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Wick, Thomas Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection-reaction-diffusion models. (English) Zbl 1487.65160 Appl. Anal. 101, No. 6, 2279-2294 (2022). MSC: 65M70 65M06 65N35 65M12 65M15 86A05 35R60 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Appl. Anal. 101, No. 6, 2279--2294 (2022; Zbl 1487.65160) Full Text: DOI arXiv
Cai, Zhiqiang; Chen, Jingshuang; Liu, Min Self-adaptive deep neural network: numerical approximation to functions and PDEs. (English) Zbl 07518092 J. Comput. Phys. 455, Article ID 111021, 16 p. (2022). MSC: 65Mxx 68Txx 41Axx PDFBibTeX XMLCite \textit{Z. Cai} et al., J. Comput. Phys. 455, Article ID 111021, 16 p. (2022; Zbl 07518092) Full Text: DOI arXiv
Argun, R. L.; Gorbachev, A. V.; Lukyanenko, D. V.; Shishlenin, M. A. Features of numerical reconstruction of a boundary condition in an inverse problem for a reaction-diffusion-advection equation with data on the position of a reaction front. (English. Russian original) Zbl 07514282 Comput. Math. Math. Phys. 62, No. 3, 441-451 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 3, 451-461 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. L. Argun} et al., Comput. Math. Math. Phys. 62, No. 3, 441--451 (2022; Zbl 07514282); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 3, 451--461 (2022) Full Text: DOI
Bonament, Alexi; Prel, Alexis; Sallese, Jean-Michel; Lallement, Christophe; Madec, Morgan Analytic modelling of passive microfluidic mixers. (English) Zbl 1489.76047 Math. Biosci. Eng. 19, No. 4, 3892-3908 (2022). MSC: 76R99 76V05 76M10 PDFBibTeX XMLCite \textit{A. Bonament} et al., Math. Biosci. Eng. 19, No. 4, 3892--3908 (2022; Zbl 1489.76047) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A class of moving kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation. (English) Zbl 07512665 Numer. Algorithms 90, No. 1, 271-299 (2022). MSC: 65M99 35R11 65M06 65M70 65M12 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Numer. Algorithms 90, No. 1, 271--299 (2022; Zbl 07512665) Full Text: DOI
Saha, S.; Yariv, E. Phoretic self-propulsion of a slightly inhomogeneous disc. (English) Zbl 1518.76072 J. Fluid Mech. 940, Paper No. A24, 18 p. (2022). MSC: 76Z10 76R50 76V05 76M45 92C10 PDFBibTeX XMLCite \textit{S. Saha} and \textit{E. Yariv}, J. Fluid Mech. 940, Paper No. A24, 18 p. (2022; Zbl 1518.76072) Full Text: DOI
Liu, Can; Yu, Zhe; Zhang, Xinming; Wu, Boying An implicit wavelet collocation method for variable coefficients space fractional advection-diffusion equations. (English) Zbl 1484.65264 Appl. Numer. Math. 177, 93-110 (2022). MSC: 65M70 65T60 35R11 65M12 PDFBibTeX XMLCite \textit{C. Liu} et al., Appl. Numer. Math. 177, 93--110 (2022; Zbl 1484.65264) Full Text: DOI
Iyer, Gautam; Van, Truong-Son Bounds on the heat transfer rate via passive advection. (English) Zbl 1504.76078 SIAM J. Math. Anal. 54, No. 2, 1927-1965 (2022). MSC: 76R50 74R10 76M30 76M35 35Q35 80A19 PDFBibTeX XMLCite \textit{G. Iyer} and \textit{T.-S. Van}, SIAM J. Math. Anal. 54, No. 2, 1927--1965 (2022; Zbl 1504.76078) Full Text: DOI arXiv
Burgess, B. H.; Dritschel, D. G. Potential vorticity fronts and the late-time evolution of large-scale quasi-geostrophic flows. (English) Zbl 1504.76097 J. Fluid Mech. 939, Paper No. A40, 16 p. (2022). MSC: 76U60 76U05 76F25 76M22 86A05 PDFBibTeX XMLCite \textit{B. H. Burgess} and \textit{D. G. Dritschel}, J. Fluid Mech. 939, Paper No. A40, 16 p. (2022; Zbl 1504.76097) Full Text: DOI
Yang, Fan; Wu, Hang-Hang; Li, Xiao-Xiao Three regularization methods for identifying the initial value of time fractional advection-dispersion equation. (English) Zbl 1499.35707 Comput. Appl. Math. 41, No. 1, Paper No. 60, 38 p. (2022). MSC: 35R25 47A52 35R30 PDFBibTeX XMLCite \textit{F. Yang} et al., Comput. Appl. Math. 41, No. 1, Paper No. 60, 38 p. (2022; Zbl 1499.35707) Full Text: DOI
Sharrock, Louis; Kantas, Nikolas Joint online parameter estimation and optimal sensor placement for the partially observed stochastic advection-diffusion equation. (English) Zbl 1484.35423 SIAM/ASA J. Uncertain. Quantif. 10, 55-95 (2022). MSC: 35R60 35K57 60-08 60G35 60H15 62M20 93E12 93E20 PDFBibTeX XMLCite \textit{L. Sharrock} and \textit{N. Kantas}, SIAM/ASA J. Uncertain. Quantif. 10, 55--95 (2022; Zbl 1484.35423) Full Text: DOI arXiv
Dong, W. B.; Tang, H. S.; Liu, Y. J. Convergence analysis on computation of coupled advection-diffusion-reaction problems. (English) Zbl 1510.65235 Appl. Math. Comput. 420, Article ID 126876, 18 p. (2022). MSC: 65M55 35K57 65M15 PDFBibTeX XMLCite \textit{W. B. Dong} et al., Appl. Math. Comput. 420, Article ID 126876, 18 p. (2022; Zbl 1510.65235) Full Text: DOI arXiv
Feng, Yuanyuan; Mazzucato, Anna L. Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection. (English) Zbl 1484.35255 Commun. Partial Differ. Equations 47, No. 2, 279-306 (2022). MSC: 35K35 35K58 76E06 76F25 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{A. L. Mazzucato}, Commun. Partial Differ. Equations 47, No. 2, 279--306 (2022; Zbl 1484.35255) Full Text: DOI arXiv
Nobili, Camilla; Pottel, Steffen Lower bounds on mixing norms for the advection diffusion equation in \(\mathbb{R}^d\). (English) Zbl 1509.35239 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 2, Paper No. 12, 32 p. (2022). MSC: 35Q35 76R50 35K05 35K08 35K15 35B40 PDFBibTeX XMLCite \textit{C. Nobili} and \textit{S. Pottel}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 2, Paper No. 12, 32 p. (2022; Zbl 1509.35239) Full Text: DOI arXiv
Riahi, M. K.; Ali, M.; Addad, Y.; Abu-Nada, E. Combined Newton-Raphson and streamlines-upwind Petrov-Galerkin iterations for nanoparticles transport in buoyancy-driven flow. (English) Zbl 1478.65087 J. Eng. Math. 132, Paper No. 22, 26 p. (2022). MSC: 65M60 65Y04 35Q35 35Q79 PDFBibTeX XMLCite \textit{M. K. Riahi} et al., J. Eng. Math. 132, Paper No. 22, 26 p. (2022; Zbl 1478.65087) Full Text: DOI arXiv
Chen, Jing; Wang, Feng; Chen, Huanzhen Probability-conservative simulation for Lévy financial model by a mixed finite element method. (English) Zbl 07469189 Comput. Math. Appl. 106, 92-105 (2022). MSC: 65Mxx 26A33 65N30 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{J. Chen} et al., Comput. Math. Appl. 106, 92--105 (2022; Zbl 07469189) Full Text: DOI
Li, Can; Wang, Haihong; Yue, Hongyun; Guo, Shimin Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions. (English) Zbl 1486.65113 Appl. Numer. Math. 173, 395-417 (2022). MSC: 65M06 65M12 65M15 44A10 35K57 26A33 35R11 PDFBibTeX XMLCite \textit{C. Li} et al., Appl. Numer. Math. 173, 395--417 (2022; Zbl 1486.65113) Full Text: DOI
Jannelli, Alessandra Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations. (English) Zbl 07443082 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106073, 14 p. (2022). MSC: 65Mxx 34Axx 65Lxx PDFBibTeX XMLCite \textit{A. Jannelli}, Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106073, 14 p. (2022; Zbl 07443082) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Finite difference/spectral element method for one and two-dimensional Riesz space fractional advection-dispersion equations. (English) Zbl 07442880 Math. Comput. Simul. 193, 348-370 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Math. Comput. Simul. 193, 348--370 (2022; Zbl 07442880) Full Text: DOI
Rathish Kumar, B. V.; Chowdhury, Manisha Variational multiscale stabilized finite element analysis of non-Newtonian Casson fluid flow model fully coupled with transport equation with variable diffusion coefficients. (English) Zbl 1507.76009 Comput. Methods Appl. Mech. Eng. 388, Article ID 114272, 28 p. (2022). MSC: 76A05 76M10 PDFBibTeX XMLCite \textit{B. V. Rathish Kumar} and \textit{M. Chowdhury}, Comput. Methods Appl. Mech. Eng. 388, Article ID 114272, 28 p. (2022; Zbl 1507.76009) Full Text: DOI
Stoter, Stein K. F.; Cockburn, Bernardo; Hughes, Thomas J. R.; Schillinger, Dominik Discontinuous Galerkin methods through the Lens of variational multiscale analysis. (English) Zbl 1507.76123 Comput. Methods Appl. Mech. Eng. 388, Article ID 114220, 26 p. (2022). MSC: 76M10 65N30 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114220, 26 p. (2022; Zbl 1507.76123) Full Text: DOI
Liu, Hong; Yu, Bin; Zhang, Bin; Xiang, Yang On mixing enhancement by secondary baroclinic vorticity in a shock-bubble interaction. (English) Zbl 1507.76218 J. Fluid Mech. 931, Paper No. A17, 56 p. (2022). MSC: 76T10 76L05 76R99 76J20 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Fluid Mech. 931, Paper No. A17, 56 p. (2022; Zbl 1507.76218) Full Text: DOI arXiv
Cajas Guaca, Denis; Catapani Poletti, Elaine Cristina Modeling and numerical simulation of dissolved oxygen and biochemical oxygen demand concentrations with Holling type III kinetic relationships. (English) Zbl 1510.92089 Appl. Math. Comput. 415, Article ID 126690, 13 p. (2022). MSC: 92C45 35Q92 PDFBibTeX XMLCite \textit{D. Cajas Guaca} and \textit{E. C. Catapani Poletti}, Appl. Math. Comput. 415, Article ID 126690, 13 p. (2022; Zbl 1510.92089) Full Text: DOI
Liu, Ziting; Wang, Qi A non-standard finite difference method for space fractional advection-diffusion equation. (English) Zbl 07776084 Numer. Methods Partial Differ. Equations 37, No. 3, 2527-2539 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Z. Liu} and \textit{Q. Wang}, Numer. Methods Partial Differ. Equations 37, No. 3, 2527--2539 (2021; Zbl 07776084) Full Text: DOI
Adivi Sri Venkata, Ravi Kanth; Garg, Neetu An unconditionally stable algorithm for multiterm time fractional advection-diffusion equation with variable coefficients and convergence analysis. (English) Zbl 07776052 Numer. Methods Partial Differ. Equations 37, No. 3, 1928-1945 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. K. Adivi Sri Venkata} and \textit{N. Garg}, Numer. Methods Partial Differ. Equations 37, No. 3, 1928--1945 (2021; Zbl 07776052) Full Text: DOI
Boutin, B.; Nguyen, T. H. T.; Sylla, A.; Tran-Tien, S.; Coulombel, J.-F. High order numerical schemes for transport equations on bounded domains. (English. French summary) Zbl 1525.76070 ESAIM, Proc. Surv. 70, 84-106 (2021). MSC: 76M20 76R99 65M06 65M12 PDFBibTeX XMLCite \textit{B. Boutin} et al., ESAIM, Proc. Surv. 70, 84--106 (2021; Zbl 1525.76070) Full Text: DOI arXiv
Ataei, Mohammadmehdi; Shaayegan, Vahid; Costa, Franco; Han, Sejin; Park, Chul B.; Bussmann, Markus Lbfoam: an open-source software package for the simulation of foaming using the lattice Boltzmann method. (English) Zbl 1520.76059 Comput. Phys. Commun. 259, Article ID 107698, 13 p. (2021). MSC: 76M28 76T10 76A05 76R99 PDFBibTeX XMLCite \textit{M. Ataei} et al., Comput. Phys. Commun. 259, Article ID 107698, 13 p. (2021; Zbl 1520.76059) Full Text: DOI arXiv
Huang, Rui; Ren, Yanning; Yin, Jingxue On the existence and monotonicity of curved fronts in a periodic shear flow. (English) Zbl 1510.35100 Methods Appl. Anal. 28, No. 3, 325-336 (2021). MSC: 35C07 35B35 35B40 35B50 35K57 PDFBibTeX XMLCite \textit{R. Huang} et al., Methods Appl. Anal. 28, No. 3, 325--336 (2021; Zbl 1510.35100) Full Text: DOI
Budinski, Ljubomir Quantum algorithm for the advection-diffusion equation simulated with the lattice Boltzmann method. (English) Zbl 1509.81243 Quantum Inf. Process. 20, No. 2, Paper No. 57, 17 p. (2021). MSC: 81P68 82C40 76M28 PDFBibTeX XMLCite \textit{L. Budinski}, Quantum Inf. Process. 20, No. 2, Paper No. 57, 17 p. (2021; Zbl 1509.81243) Full Text: DOI
Jena, Saumya Ranjan; Gebremedhin, Guesh Simretab Computational technique for heat and advection-diffusion equations. (English) Zbl 1502.65160 Soft Comput. 25, No. 16, 11139-11150 (2021). MSC: 65M70 65M06 65N35 65D07 65M12 65M15 35K05 35Q79 PDFBibTeX XMLCite \textit{S. R. Jena} and \textit{G. S. Gebremedhin}, Soft Comput. 25, No. 16, 11139--11150 (2021; Zbl 1502.65160) Full Text: DOI
Ji, Changqing; Zhu, Dandan; Ren, Jingli \(m\)th-order Fisher-KPP equation with free boundaries and time-aperiodic advection. (English) Zbl 1498.35634 Math. Appl. Sci. Eng. 2, No. 3, 161-171 (2021). MSC: 35R35 35B40 35C07 35K20 35K57 PDFBibTeX XMLCite \textit{C. Ji} et al., Math. Appl. Sci. Eng. 2, No. 3, 161--171 (2021; Zbl 1498.35634) Full Text: DOI
Zhao, Xiao; Zhang, Xiaofeng; Yuan, Rong The principal eigenvalue for a time-space periodic reaction-diffusion-advection equation with delay nutrient recycling. (English) Zbl 1498.35338 Chaos Solitons Fractals 150, Article ID 111134, 4 p. (2021). MSC: 35K57 PDFBibTeX XMLCite \textit{X. Zhao} et al., Chaos Solitons Fractals 150, Article ID 111134, 4 p. (2021; Zbl 1498.35338) Full Text: DOI
Brugiapaglia, S.; Micheletti, S.; Nobile, F.; Perotto, S. Wavelet-Fourier CORSING techniques for multidimensional advection-diffusion-reaction equations. (English) Zbl 07528319 IMA J. Numer. Anal. 41, No. 4, 2744-2781 (2021). MSC: 65Mxx PDFBibTeX XMLCite \textit{S. Brugiapaglia} et al., IMA J. Numer. Anal. 41, No. 4, 2744--2781 (2021; Zbl 07528319) Full Text: DOI arXiv
Cai, Zhiqiang; Chen, Jingshuang; Liu, Min Least-squares ReLU neural network (LSNN) method for linear advection-reaction equation. (English) Zbl 07515414 J. Comput. Phys. 443, Article ID 110514, 17 p. (2021). MSC: 65Mxx 35Lxx 65Nxx PDFBibTeX XMLCite \textit{Z. Cai} et al., J. Comput. Phys. 443, Article ID 110514, 17 p. (2021; Zbl 07515414) Full Text: DOI arXiv
Sweilam, Nasser Hassan; El-Sayed, Adel Abd Elaziz; Boulaaras, Salah Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique. (English) Zbl 1498.65175 Chaos Solitons Fractals 144, Article ID 110736, 10 p. (2021). MSC: 65M70 33C47 42A10 35R11 65M12 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Chaos Solitons Fractals 144, Article ID 110736, 10 p. (2021; Zbl 1498.65175) Full Text: DOI
Shojaeizadeh, T.; Mahmoudi, M.; Darehmiraki, M. Optimal control problem of advection-diffusion-reaction equation of kind fractal-fractional applying shifted Jacobi polynomials. (English) Zbl 1498.49052 Chaos Solitons Fractals 143, Article ID 110568, 14 p. (2021). MSC: 49M41 26A33 35F16 PDFBibTeX XMLCite \textit{T. Shojaeizadeh} et al., Chaos Solitons Fractals 143, Article ID 110568, 14 p. (2021; Zbl 1498.49052) Full Text: DOI
Bachini, Elena; Farthing, Matthew W.; Putti, Mario Intrinsic finite element method for advection-diffusion-reaction equations on surfaces. (English) Zbl 07508442 J. Comput. Phys. 424, Article ID 109827, 18 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{E. Bachini} et al., J. Comput. Phys. 424, Article ID 109827, 18 p. (2021; Zbl 07508442) Full Text: DOI
Soori, Z.; Aminataei, A. Two new approximations to Caputo-Fabrizio fractional equation on non-uniform meshes and its applications. (English) Zbl 1522.65155 Iran. J. Numer. Anal. Optim. 11, No. 2, 365-383 (2021). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Z. Soori} and \textit{A. Aminataei}, Iran. J. Numer. Anal. Optim. 11, No. 2, 365--383 (2021; Zbl 1522.65155) Full Text: DOI
Tikariha, Lomesh; Kumar, Lalit Pressure propagation and flow restart in the multi-plug gelled pipeline. (English) Zbl 1503.76111 J. Fluid Mech. 911, Paper No. A46, 26 p. (2021). MSC: 76T10 76M99 PDFBibTeX XMLCite \textit{L. Tikariha} and \textit{L. Kumar}, J. Fluid Mech. 911, Paper No. A46, 26 p. (2021; Zbl 1503.76111) Full Text: DOI
Pirozzoli, Sergio; De Paoli, Marco; Zonta, Francesco; Soldati, Alfredo Towards the ultimate regime in Rayleigh-Darcy convection. (English) Zbl 1493.76093 J. Fluid Mech. 911, Paper No. R4, 13 p. (2021). MSC: 76R10 76S05 76M20 80A19 PDFBibTeX XMLCite \textit{S. Pirozzoli} et al., J. Fluid Mech. 911, Paper No. R4, 13 p. (2021; Zbl 1493.76093) Full Text: DOI
Chatterjee, Avipsita; Panja, M. M.; Basu, U.; Datta, D.; Mandal, B. N. Solving one-dimensional advection diffusion transport equation by using CDV wavelet basis. (English) Zbl 1505.65326 Indian J. Pure Appl. Math. 52, No. 3, 872-896 (2021). MSC: 65T60 35K57 47F05 58J35 PDFBibTeX XMLCite \textit{A. Chatterjee} et al., Indian J. Pure Appl. Math. 52, No. 3, 872--896 (2021; Zbl 1505.65326) Full Text: DOI
Weissen, Jennifer; Göttlich, Simone; Armbruster, Dieter Density dependent diffusion models for the interaction of particle ensembles with boundaries. (English) Zbl 1502.35181 Kinet. Relat. Models 14, No. 4, 681-704 (2021). MSC: 35Q92 92C15 35M10 35K65 35L65 65M06 65N06 92-08 PDFBibTeX XMLCite \textit{J. Weissen} et al., Kinet. Relat. Models 14, No. 4, 681--704 (2021; Zbl 1502.35181) Full Text: DOI arXiv
Phosri, Piyada; Phochai, Nopparat Numerical computation of a water-quality model with advection-diffusion-reaction equation using an upwind implicit scheme. (English) Zbl 07450763 Thai J. Math. 19, No. 1, 187-196 (2021). MSC: 65-XX 35K57 65M06 76R99 PDFBibTeX XMLCite \textit{P. Phosri} and \textit{N. Phochai}, Thai J. Math. 19, No. 1, 187--196 (2021; Zbl 07450763) Full Text: Link
Aristova, E. N.; Astafurov, G. O. Comparison of dissipation and dispersion properties of compact difference schemes for the numerical solution of the advection equation. (English. Russian original) Zbl 07444573 Comput. Math. Math. Phys. 61, No. 11, 1711-1722 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1747-1758 (2021). MSC: 65Mxx 76-XX PDFBibTeX XMLCite \textit{E. N. Aristova} and \textit{G. O. Astafurov}, Comput. Math. Math. Phys. 61, No. 11, 1711--1722 (2021; Zbl 07444573); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1747--1758 (2021) Full Text: DOI
Allwright, Amy; Atangana, Abdon; Mekkaoui, Toufik Fractional and fractal advection-dispersion model. (English) Zbl 1484.35372 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2055-2074 (2021). MSC: 35R11 28A80 35Q35 PDFBibTeX XMLCite \textit{A. Allwright} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2055--2074 (2021; Zbl 1484.35372) Full Text: DOI
Guan, Wenhui; Cao, Xuenian A numerical algorithm for the Caputo tempered fractional advection-diffusion equation. (English) Zbl 1476.34166 Commun. Appl. Math. Comput. 3, No. 1, 41-59 (2021). MSC: 34K40 65C30 93E15 PDFBibTeX XMLCite \textit{W. Guan} and \textit{X. Cao}, Commun. Appl. Math. Comput. 3, No. 1, 41--59 (2021; Zbl 1476.34166) Full Text: DOI
Vukadinovic, Jesenko The limit of vanishing diffusivity for passive scalars in Hamiltonian flows. (English) Zbl 1478.35017 Arch. Ration. Mech. Anal. 242, No. 3, 1395-1444 (2021). MSC: 35B25 35H10 35K20 PDFBibTeX XMLCite \textit{J. Vukadinovic}, Arch. Ration. Mech. Anal. 242, No. 3, 1395--1444 (2021; Zbl 1478.35017) Full Text: DOI
Huynh, H. T. On explicit discontinuous Galerkin methods for conservation laws. (English) Zbl 1521.76340 Comput. Fluids 222, Article ID 104920, 17 p. (2021). MSC: 76M10 65M60 35Q30 65M12 76N06 PDFBibTeX XMLCite \textit{H. T. Huynh}, Comput. Fluids 222, Article ID 104920, 17 p. (2021; Zbl 1521.76340) Full Text: DOI
Nguyen, Thanh-Hieu; Trong, Dang Duc; Vo, Hoang-Hung Spreading of two competing species in advective environment governed by free boundaries with a given moving boundary. (English) Zbl 1477.35031 Vietnam J. Math. 49, No. 4, 1199-1225 (2021). MSC: 35B40 35B50 35K51 35K57 35R35 47G20 PDFBibTeX XMLCite \textit{T.-H. Nguyen} et al., Vietnam J. Math. 49, No. 4, 1199--1225 (2021; Zbl 1477.35031) Full Text: DOI
Hou, Bo; Ge, Yongbin High-order compact LOD methods for solving high-dimensional advection equations. (English) Zbl 1476.35136 Comput. Appl. Math. 40, No. 3, Paper No. 102, 23 p. (2021). MSC: 35L35 35G16 PDFBibTeX XMLCite \textit{B. Hou} and \textit{Y. Ge}, Comput. Appl. Math. 40, No. 3, Paper No. 102, 23 p. (2021; Zbl 1476.35136) Full Text: DOI
Kundu, Snehasis; Ghoshal, Koeli Effects of non-locality on unsteady nonequilibrium sediment transport in turbulent flows: a study using space fractional ADE with fractional divergence. (English) Zbl 1481.76126 Appl. Math. Modelling 96, 617-644 (2021). MSC: 76F99 35Q35 76T20 PDFBibTeX XMLCite \textit{S. Kundu} and \textit{K. Ghoshal}, Appl. Math. Modelling 96, 617--644 (2021; Zbl 1481.76126) Full Text: DOI
Lou, Bendong; Suo, Jinzhe; Tan, Kaiyuan Entire solutions to advective Fisher-KPP equation on the half line. (English) Zbl 1477.35011 J. Differ. Equations 305, 103-120 (2021). MSC: 35B08 35B40 35C07 35K20 35K57 PDFBibTeX XMLCite \textit{B. Lou} et al., J. Differ. Equations 305, 103--120 (2021; Zbl 1477.35011) Full Text: DOI
Tunc, Huseyin; Sari, Murat A stabilized discontinuous Galerkin method for the nonlinear advection-diffusion processes. (English) Zbl 1473.65214 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 1, 24-45 (2021). MSC: 65M60 65N30 35L67 PDFBibTeX XMLCite \textit{H. Tunc} and \textit{M. Sari}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 1, 24--45 (2021; Zbl 1473.65214) Full Text: DOI
Pham Hoang, Quan Recovering the aqueous concentration in a multi-layer porous media. (English) Zbl 07411546 Comput. Math. Appl. 100, 83-98 (2021). MSC: 65M32 26A33 35R25 35R11 35R30 PDFBibTeX XMLCite \textit{Q. Pham Hoang}, Comput. Math. Appl. 100, 83--98 (2021; Zbl 07411546) Full Text: DOI
Vowinckel, Bernhard Incorporating grain-scale processes in macroscopic sediment transport models. A review and perspectives for environmental and geophysical applications. (English) Zbl 1492.76128 Acta Mech. 232, No. 6, 2023-2050 (2021). MSC: 76T20 76R99 76-02 86A05 PDFBibTeX XMLCite \textit{B. Vowinckel}, Acta Mech. 232, No. 6, 2023--2050 (2021; Zbl 1492.76128) Full Text: DOI
Ngondiep, Eric A two-level factored Crank-Nicolson method for two-dimensional nonstationary advection-diffusion equation with time dependent dispersion coefficients and source terms. (English) Zbl 1488.65270 Adv. Appl. Math. Mech. 13, No. 5, 1005-1026 (2021). MSC: 65M06 65M12 35K20 PDFBibTeX XMLCite \textit{E. Ngondiep}, Adv. Appl. Math. Mech. 13, No. 5, 1005--1026 (2021; Zbl 1488.65270) Full Text: DOI
Hughes, D. W.; Proctor, M. R. E.; Eltayeb, I. A. Maxwell-Cattaneo double-diffusive convection: limiting cases. (English) Zbl 1475.76039 J. Fluid Mech. 927, Paper No. A13, 28 p. (2021). MSC: 76E06 76R50 80A19 PDFBibTeX XMLCite \textit{D. W. Hughes} et al., J. Fluid Mech. 927, Paper No. A13, 28 p. (2021; Zbl 1475.76039) Full Text: DOI
Zakharova, S. A.; Davydova, M. A.; Lukyanenko, D. V. Use of asymptotic analysis for solving the inverse problem of source parameters determination of nitrogen oxide emission in the atmosphere. (English) Zbl 1470.65189 Inverse Probl. Sci. Eng. 29, No. 3, 365-377 (2021). MSC: 65N21 35J75 86A22 PDFBibTeX XMLCite \textit{S. A. Zakharova} et al., Inverse Probl. Sci. Eng. 29, No. 3, 365--377 (2021; Zbl 1470.65189) Full Text: DOI
Dehe, Sebastian; Rehm, Imke-Sophie; Hardt, Steffen Hydrodynamic dispersion in Hele-Shaw flows with inhomogeneous wall boundary conditions. (English) Zbl 1473.76024 J. Fluid Mech. 925, Paper No. A11, 37 p. (2021). MSC: 76D27 76R99 76M45 PDFBibTeX XMLCite \textit{S. Dehe} et al., J. Fluid Mech. 925, Paper No. A11, 37 p. (2021; Zbl 1473.76024) Full Text: DOI
Kumar, Sachin; Zeidan, Dia An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation. (English) Zbl 07398301 Appl. Numer. Math. 170, 190-207 (2021). MSC: 65M70 33E12 42C10 26A33 35R11 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{D. Zeidan}, Appl. Numer. Math. 170, 190--207 (2021; Zbl 07398301) Full Text: DOI
Sadeghi, S.; Jafari, H.; Nemati, S. Solving fractional advection-diffusion equation using Genocchi operational matrix based on Atangana-Baleanu derivative. (English) Zbl 1473.35635 Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3747-3761 (2021). MSC: 35R11 35A35 35K15 PDFBibTeX XMLCite \textit{S. Sadeghi} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3747--3761 (2021; Zbl 1473.35635) Full Text: DOI
Agarwal, Ritu; Kritika; Purohit, Sunil Dutt; Kumar, Devendra Mathematical modelling of cytosolic calcium concentration distribution using non-local fractional operator. (English) Zbl 1473.35586 Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3387-3399 (2021). MSC: 35Q92 92C37 PDFBibTeX XMLCite \textit{R. Agarwal} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3387--3399 (2021; Zbl 1473.35586) Full Text: DOI
Schilling, Nathanael; Karrasch, Daniel; Junge, Oliver Heat-content and diffusive leakage from material sets in the low-diffusivity limit. (English) Zbl 1473.35026 Nonlinearity 34, No. 10, 7303-7321 (2021). MSC: 35B25 35K10 35R01 60G07 58J32 58J35 PDFBibTeX XMLCite \textit{N. Schilling} et al., Nonlinearity 34, No. 10, 7303--7321 (2021; Zbl 1473.35026) Full Text: DOI arXiv
Wang, Zhaoyang; Sun, HongGuang Generalized finite difference method with irregular mesh for a class of three-dimensional variable-order time-fractional advection-diffusion equations. (English) Zbl 1521.65077 Eng. Anal. Bound. Elem. 132, 345-355 (2021). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{H. Sun}, Eng. Anal. Bound. Elem. 132, 345--355 (2021; Zbl 1521.65077) Full Text: DOI
Antonov, N. V.; Kostenko, M. M. Renormalization group in the problem of active scalar advection. (English) Zbl 1480.76116 J. Math. Sci., New York 257, No. 4, 425-441 (2021) and Zap. Nauchn. Semin. POMI 487, 5-27 (2019). MSC: 76R99 76F30 76M35 PDFBibTeX XMLCite \textit{N. V. Antonov} and \textit{M. M. Kostenko}, J. Math. Sci., New York 257, No. 4, 425--441 (2021; Zbl 1480.76116) Full Text: DOI arXiv
Ma, Li; Wei, Dan Hopf bifurcation of a delayed reaction-diffusion model with advection term. (English) Zbl 1470.92250 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112455, 21 p. (2021). MSC: 92D25 35B32 35K57 PDFBibTeX XMLCite \textit{L. Ma} and \textit{D. Wei}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112455, 21 p. (2021; Zbl 1470.92250) Full Text: DOI
Zureigat, Hamzeh; Ismail, Ahmad Izani; Sathasivam, Saratha Numerical solutions of fuzzy time fractional advection-diffusion equations in double parametric form of fuzzy number. (English) Zbl 1473.65133 Math. Methods Appl. Sci. 44, No. 10, 7956-7968 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65M22 35K15 26A33 35R11 35R13 PDFBibTeX XMLCite \textit{H. Zureigat} et al., Math. Methods Appl. Sci. 44, No. 10, 7956--7968 (2021; Zbl 1473.65133) Full Text: DOI
Čanić, Sunčica; Wang, Yifan; Bukač, Martina A next-generation mathematical model for drug-eluting stents. (English) Zbl 1471.74055 SIAM J. Appl. Math. 81, No. 4, 1503-1529 (2021). MSC: 74L15 74F10 76Z05 74S05 76M10 76R99 PDFBibTeX XMLCite \textit{S. Čanić} et al., SIAM J. Appl. Math. 81, No. 4, 1503--1529 (2021; Zbl 1471.74055) Full Text: DOI
Ma, Manjun; Ou, Chunhua The minimal wave speed of a general reaction-diffusion equation with nonlinear advection. (English) Zbl 1475.35102 Z. Angew. Math. Phys. 72, No. 4, Paper No. 163, 14 p. (2021). Reviewer: Guobao Zhang (Lanzhou) MSC: 35C07 35K57 37N25 92D25 PDFBibTeX XMLCite \textit{M. Ma} and \textit{C. Ou}, Z. Angew. Math. Phys. 72, No. 4, Paper No. 163, 14 p. (2021; Zbl 1475.35102) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi The Crank-Nicolson/interpolating stabilized element-free Galerkin method to investigate the fractional Galilei invariant advection-diffusion equation. (English) Zbl 1486.65156 Math. Methods Appl. Sci. 44, No. 4, 2752-2768 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Math. Methods Appl. Sci. 44, No. 4, 2752--2768 (2021; Zbl 1486.65156) Full Text: DOI
Singh, Anup; Diwedi, Kushal Dhar; Das, Subir; Ong, Seng-Huat Study of one-dimensional space-time fractional-order Burgers-Fisher and Burgers-Huxley fluid models. (English) Zbl 1470.35413 Math. Methods Appl. Sci. 44, No. 3, 2455-2467 (2021). MSC: 35R11 35F31 35Q35 PDFBibTeX XMLCite \textit{A. Singh} et al., Math. Methods Appl. Sci. 44, No. 3, 2455--2467 (2021; Zbl 1470.35413) Full Text: DOI
Levashova, N. T.; Nefedov, N. N.; Nikolaeva, O. A. Solution with an inner transition layer of a two-dimensional boundary value reaction-diffusion-advection problem with discontinuous reaction and advection terms. (English. Russian original) Zbl 1467.35029 Theor. Math. Phys. 207, No. 2, 655-669 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 293-309 (2021). MSC: 35B25 35K20 35K57 35R05 PDFBibTeX XMLCite \textit{N. T. Levashova} et al., Theor. Math. Phys. 207, No. 2, 655--669 (2021; Zbl 1467.35029); translation from Teor. Mat. Fiz. 207, No. 2, 293--309 (2021) Full Text: DOI
Ascione, Giacomo; Leonenko, Nikolai; Pirozzi, Enrica Time-non-local Pearson diffusions. (English) Zbl 1467.35332 J. Stat. Phys. 183, No. 3, Paper No. 48, 42 p. (2021). MSC: 35R11 60K15 60J60 PDFBibTeX XMLCite \textit{G. Ascione} et al., J. Stat. Phys. 183, No. 3, Paper No. 48, 42 p. (2021; Zbl 1467.35332) Full Text: DOI arXiv
Lin, Fu-Rong; She, Zi-Hang Stability and convergence of 3-point WSGD schemes for two-sided space fractional advection-diffusion equations with variable coefficients. (English) Zbl 1481.65144 Appl. Numer. Math. 167, 281-307 (2021). MSC: 65M06 65M12 65B05 26A33 35R11 PDFBibTeX XMLCite \textit{F.-R. Lin} and \textit{Z.-H. She}, Appl. Numer. Math. 167, 281--307 (2021; Zbl 1481.65144) Full Text: DOI
Destuynder, Philippe; Liberge, Erwan A few remarks on penalty and penalty-duality methods in fluid-structure interactions. (English) Zbl 1466.76019 Appl. Numer. Math. 167, 1-30 (2021). MSC: 76D55 76M30 74F10 PDFBibTeX XMLCite \textit{P. Destuynder} and \textit{E. Liberge}, Appl. Numer. Math. 167, 1--30 (2021; Zbl 1466.76019) Full Text: DOI arXiv
Chen, Mingji; Luan, Shengzhi; Lian, Yanping Fractional SUPG finite element formulation for multi-dimensional fractional advection diffusion equations. (English) Zbl 07360520 Comput. Mech. 67, No. 2, 601-617 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{M. Chen} et al., Comput. Mech. 67, No. 2, 601--617 (2021; Zbl 07360520) Full Text: DOI
Zhang, Lin; Ge, Yongbin Numerical solution of nonlinear advection diffusion reaction equation using high-order compact difference method. (English) Zbl 1475.65089 Appl. Numer. Math. 166, 127-145 (2021). MSC: 65M06 65N06 65B05 65H10 65F05 65M12 35K57 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{Y. Ge}, Appl. Numer. Math. 166, 127--145 (2021; Zbl 1475.65089) Full Text: DOI
Mesgarani, H.; Rashidinia, J.; Aghdam, Y. Esmaeelzade; Nikan, O. Numerical treatment of the space fractional advection-dispersion model arising in groundwater hydrology. (English) Zbl 1461.65248 Comput. Appl. Math. 40, No. 1, Paper No. 22, 17 p. (2021). MSC: 65M70 65M12 35Q92 86A05 91G20 PDFBibTeX XMLCite \textit{H. Mesgarani} et al., Comput. Appl. Math. 40, No. 1, Paper No. 22, 17 p. (2021; Zbl 1461.65248) Full Text: DOI
Rupp, Andreas; Hauck, Moritz; Aizinger, Vadym A subcell-enriched Galerkin method for advection problems. (English) Zbl 1524.65590 Comput. Math. Appl. 93, 120-129 (2021). MSC: 65M60 76M10 65N30 35L65 65L06 65M12 65M15 PDFBibTeX XMLCite \textit{A. Rupp} et al., Comput. Math. Appl. 93, 120--129 (2021; Zbl 1524.65590) Full Text: DOI arXiv
Devi, Anju; Jakhar, Manjeet Analysis of concentration of \(\mathrm{Ca^{2+}} \) arising in astrocytes cell. (English) Zbl 1468.35212 Int. J. Appl. Comput. Math. 7, No. 1, Paper No. 11, 9 p. (2021). MSC: 35Q92 26A33 33E50 44A15 49K20 92C20 92C40 35R11 PDFBibTeX XMLCite \textit{A. Devi} and \textit{M. Jakhar}, Int. J. Appl. Comput. Math. 7, No. 1, Paper No. 11, 9 p. (2021; Zbl 1468.35212) Full Text: DOI