Kane, Souleye; Samb, Serigne Fallou; Seck, Diaraf Existence and uniqueness of solution for semi-linear conservation laws with velocity field in \(L ^\infty \). (English) Zbl 07801372 Diagana, Toka (ed.) et al., Partial differential equations and applications. Colloquium in honor of Hamidou Touré, Ouagadougou, Burkina Faso, November 5–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 420, 1-36 (2023). MSC: 35L65 35L50 35L60 PDFBibTeX XMLCite \textit{S. Kane} et al., Springer Proc. Math. Stat. 420, 1--36 (2023; Zbl 07801372) Full Text: DOI arXiv
Garg, Deepika; Ganesan, Sashikumaar Local projection stabilized finite element methods for advection-reaction problems. (English) Zbl 07757597 Calcolo 60, No. 4, Paper No. 45, 29 p. (2023). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 65N12 35B45 76V05 76M10 PDFBibTeX XMLCite \textit{D. Garg} and \textit{S. Ganesan}, Calcolo 60, No. 4, Paper No. 45, 29 p. (2023; Zbl 07757597) Full Text: DOI arXiv OA License
Hào, Dinh Nho; Thành, Nguyen Trung; Duc, Nguyen Van; Thang, Nguyen Van A coefficient identification problem for a system of advection-reaction equations in water quality modeling. (English) Zbl 07750286 Comput. Math. Appl. 148, 126-150 (2023). MSC: 65-XX 35R30 82C70 35-02 76M20 35J46 PDFBibTeX XMLCite \textit{D. N. Hào} et al., Comput. Math. Appl. 148, 126--150 (2023; Zbl 07750286) Full Text: DOI
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
Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen Cahn-Hilliard-Brinkman model for tumor growth with possibly singular potentials. (English) Zbl 1521.35101 Nonlinearity 36, No. 8, 4470-4500 (2023). MSC: 35K35 35K86 35Q35 92C17 92C50 PDFBibTeX XMLCite \textit{P. Colli} et al., Nonlinearity 36, No. 8, 4470--4500 (2023; Zbl 1521.35101) Full Text: DOI arXiv
Krah, Philipp; Büchholz, Steffen; Häringer, Matthias; Reiss, Julius Front transport reduction for complex moving fronts. Nonlinear model reduction for an advection-reaction-diffusion equation with a Kolmogorov-Petrovsky-Piskunov reaction term. (English) Zbl 07708370 J. Sci. Comput. 96, No. 1, Paper No. 28, 34 p. (2023). MSC: 65Mxx 76Mxx 68Txx PDFBibTeX XMLCite \textit{P. Krah} et al., J. Sci. Comput. 96, No. 1, Paper No. 28, 34 p. (2023; Zbl 07708370) Full Text: DOI arXiv
Ulfsby, Tale Bakken; Massing, André; Sticko, Simon Stabilized cut discontinuous Galerkin methods for advection-reaction problems on surfaces. (English) Zbl 07697910 Comput. Methods Appl. Mech. Eng. 413, Article ID 116109, 31 p. (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{T. B. Ulfsby} et al., Comput. Methods Appl. Mech. Eng. 413, Article ID 116109, 31 p. (2023; Zbl 07697910) Full Text: DOI arXiv
Kumar, Sachin; Ahmad, Bashir A new numerical study of space-time fractional advection-reaction-diffusion equation with Rabotnov fractional-exponential kernel. (English) Zbl 07777096 Numer. Methods Partial Differ. Equations 38, No. 3, 457-469 (2022). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{B. Ahmad}, Numer. Methods Partial Differ. Equations 38, No. 3, 457--469 (2022; Zbl 07777096) Full Text: DOI
González, Gabriel; Rodrigo, Marianito R. Lotka-Volterra competition system with strong advection rates. (English) Zbl 1507.92076 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 5, 399-409 (2022). MSC: 92D25 35C07 35K57 PDFBibTeX XMLCite \textit{G. González} and \textit{M. R. Rodrigo}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 5, 399--409 (2022; Zbl 1507.92076) Full Text: Link
Muñoz-Matute, Judit; Demkowicz, Leszek; Roberts, Nathan V. Combining DPG in space with DPG time-marching scheme for the transient advection-reaction equation. (English) Zbl 1507.65187 Comput. Methods Appl. Mech. Eng. 402, Article ID 115471, 24 p. (2022). MSC: 65M60 65L05 65M12 PDFBibTeX XMLCite \textit{J. Muñoz-Matute} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115471, 24 p. (2022; Zbl 1507.65187) Full Text: DOI
Lorenzi, T.; Perthame, B.; Ruan, X. Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility. (English) Zbl 1507.35300 Eur. J. Appl. Math. 33, No. 4, 766-783 (2022). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 92D25 35B40 35C07 35R09 35F21 92-08 65M08 65M06 65N08 PDFBibTeX XMLCite \textit{T. Lorenzi} et al., Eur. J. Appl. Math. 33, No. 4, 766--783 (2022; Zbl 1507.35300) Full Text: DOI arXiv
Manjunatha, Kiran; Behr, Marek; Vogt, Felix; Reese, Stefanie Finite element modelling of in-stent restenosis. (English) Zbl 1511.74059 Aldakheel, Fadi (ed.) et al., Current trends and open problems in computational mechanics. Cham: Springer. 305-318 (2022). MSC: 74S05 74S20 74L15 74F10 92C10 PDFBibTeX XMLCite \textit{K. Manjunatha} et al., in: Current trends and open problems in computational mechanics. Cham: Springer. 305--318 (2022; Zbl 1511.74059) Full Text: DOI arXiv
Kaouri, Katerina; Méndez, Paul E.; Ruiz-Baier, Ricardo Mechanochemical models for calcium waves in embryonic epithelia. (English) Zbl 1500.92013 Vietnam J. Math. 50, No. 4, 947-975 (2022). MSC: 92C10 92C15 35K57 74L15 PDFBibTeX XMLCite \textit{K. Kaouri} et al., Vietnam J. Math. 50, No. 4, 947--975 (2022; Zbl 1500.92013) Full Text: DOI arXiv
Zurita, Pablo; Hurtado, Daniel E. Computational modeling of capillary perfusion and gas exchange in alveolar tissue. (English) Zbl 1507.76270 Comput. Methods Appl. Mech. Eng. 399, Article ID 115418, 23 p. (2022). MSC: 76Z05 76-04 PDFBibTeX XMLCite \textit{P. Zurita} and \textit{D. E. Hurtado}, Comput. Methods Appl. Mech. Eng. 399, Article ID 115418, 23 p. (2022; Zbl 1507.76270) Full Text: DOI
Tran, Minh-Phuong; Nguyen, Thanh-Nhan; Huynh, Phuoc-Toan; Ly, Nhu-Binh; Nguyen, Minh-Dang; Ho, Quoc-Anh Convergence results for non-overlap Schwarz waveform relaxation algorithm with changing transmission conditions. (English) Zbl 1513.65492 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 105-126 (2022). MSC: 65N55 65M60 65M06 65N30 65M12 65Y05 35K57 PDFBibTeX XMLCite \textit{M.-P. Tran} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 105--126 (2022; Zbl 1513.65492) Full Text: DOI
Preuss, Adam; Lipoth, Jessica; Spiteri, Raymond J. When and how to split? A comparison of two IMEX splitting techniques for solving advection-diffusion-reaction equations. (English) Zbl 1490.65133 J. Comput. Appl. Math. 414, Article ID 114418, 18 p. (2022). MSC: 65L04 65L05 65L06 65M20 65Y20 PDFBibTeX XMLCite \textit{A. Preuss} et al., J. Comput. Appl. Math. 414, Article ID 114418, 18 p. (2022; Zbl 1490.65133) Full Text: DOI
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui Bilinear optimal control of an advection-reaction-diffusion system. (English) Zbl 1487.49038 SIAM Rev. 64, No. 2, 392-421 (2022). MSC: 49M41 35Q93 49J20 35K57 PDFBibTeX XMLCite \textit{R. Glowinski} et al., SIAM Rev. 64, No. 2, 392--421 (2022; Zbl 1487.49038) Full Text: DOI arXiv
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
Li, Shengyue; Cao, Wanrong; Wang, Yibo On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation. (English) Zbl 1524.65893 Comput. Math. Appl. 107, 104-116 (2022). MSC: 65N35 65N30 35R11 49M25 41A10 26A33 65N12 65N15 35B65 PDFBibTeX XMLCite \textit{S. Li} et al., Comput. Math. Appl. 107, 104--116 (2022; Zbl 1524.65893) Full Text: DOI arXiv
Hsieh, Dai-Ni; Arguillère, Sylvain; Charon, Nicolas; Younes, Laurent Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential. (English) Zbl 1481.35413 Q. Appl. Math. 80, No. 1, 23-52 (2022). MSC: 35R37 35K51 35K57 35Q92 PDFBibTeX XMLCite \textit{D.-N. Hsieh} et al., Q. Appl. Math. 80, No. 1, 23--52 (2022; Zbl 1481.35413) 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, Zhi-bin; Liu, Shu-tang; Tian, Da-dong; Wang, Da Stability analysis of the plankton community with advection. (English) Zbl 1498.92309 Chaos Solitons Fractals 146, Article ID 110836, 10 p. (2021). MSC: 92D40 35Q92 PDFBibTeX XMLCite \textit{Z.-b. Liu} et al., Chaos Solitons Fractals 146, Article ID 110836, 10 p. (2021; Zbl 1498.92309) Full Text: DOI
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
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice Adapted numerical modeling for advection-reaction-diffusion problems on a bidimensional spatial domain. (English) Zbl 1473.65100 Int. J. Math. Comput. Sci. 16, No. 4, 1803-1829 (2021). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Int. J. Math. Comput. Sci. 16, No. 4, 1803--1829 (2021; Zbl 1473.65100) Full Text: Link
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
Dirks, Carolin; Striewski, Paul; Wirth, Benedikt; Aalto, Anne; Olguin-Olguin, Adan A mathematical model for bleb regulation in zebrafish primordial germ cells. (English) Zbl 1467.92073 Math. Med. Biol. 38, No. 2, 218-254 (2021). MSC: 92C37 92C17 35Q92 PDFBibTeX XMLCite \textit{C. Dirks} et al., Math. Med. Biol. 38, No. 2, 218--254 (2021; Zbl 1467.92073) Full Text: DOI arXiv
Carrillo, Ruben; Moreles, Miguel Angel; Herrera, Rafael Equivalence of DEC and box methods for the diffusion-advection-reaction equation. (English) Zbl 1462.65171 Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 35, 20 p. (2021). MSC: 65N08 65N15 53A70 65D18 PDFBibTeX XMLCite \textit{R. Carrillo} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 35, 20 p. (2021; Zbl 1462.65171) Full Text: DOI
Solis, Francisco J.; Barradas, Ignacio; Juarez, Daniel From backward approximations to Lagrange polynomials in discrete advection-reaction operators. (English) Zbl 1483.47126 Differ. Equ. Dyn. Syst. 29, No. 2, 363-375 (2021). MSC: 47N40 65M06 47B37 39A12 PDFBibTeX XMLCite \textit{F. J. Solis} et al., Differ. Equ. Dyn. Syst. 29, No. 2, 363--375 (2021; Zbl 1483.47126) Full Text: DOI
Zheng, Xiangcheng; Liu, Huan; Wang, Hong; Fu, Hongfei Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. (English) Zbl 1462.65208 Appl. Numer. Math. 161, 1-12 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65M06 35R11 PDFBibTeX XMLCite \textit{X. Zheng} et al., Appl. Numer. Math. 161, 1--12 (2021; Zbl 1462.65208) Full Text: DOI
Nyarko, Peter Romeo; Anokye, Martin Mathematical modeling and numerical simulation of a multiscale cancer invasion of host tissue. (English) Zbl 1484.92045 AIMS Math. 5, No. 4, 3111-3124 (2020). MSC: 92C50 35Q92 92-10 PDFBibTeX XMLCite \textit{P. R. Nyarko} and \textit{M. Anokye}, AIMS Math. 5, No. 4, 3111--3124 (2020; Zbl 1484.92045) Full Text: DOI
Haßler, Stefan; Ranno, Anna Maria; Behr, Marek Finite-element formulation for advection-reaction equations with change of variable and discontinuity capturing. (English) Zbl 1506.76079 Comput. Methods Appl. Mech. Eng. 369, Article ID 113171, 15 p. (2020). MSC: 76M10 65M60 76Z05 PDFBibTeX XMLCite \textit{S. Haßler} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113171, 15 p. (2020; Zbl 1506.76079) Full Text: DOI arXiv
Gürkan, Ceren; Sticko, Simon; Massing, André Stabilized cut discontinuous Galerkin methods for advection-reaction problems. (English) Zbl 1451.65191 SIAM J. Sci. Comput. 42, No. 5, A2620-A2654 (2020). MSC: 65N30 65N12 65N15 65N85 PDFBibTeX XMLCite \textit{C. Gürkan} et al., SIAM J. Sci. Comput. 42, No. 5, A2620--A2654 (2020; Zbl 1451.65191) Full Text: DOI arXiv
Knodel, Markus M.; Kräutle, Serge; Knabner, Peter Global implicit solver for multiphase multicomponent flow in porous media with multiple gas phases and general reactions. (English) Zbl 1454.65166 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 595-603 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N08 65M06 76V05 76S05 76T10 76T30 80A32 92E20 35A25 35K57 86A60 86-08 35Q35 35Q86 35Q68 PDFBibTeX XMLCite \textit{M. M. Knodel} et al., Springer Proc. Math. Stat. 323, 595--603 (2020; Zbl 1454.65166) Full Text: DOI
Macías-Díaz, J. E. A dynamically consistent exponential scheme to solve some advection-reaction equations with Riesz anomalous diffusion. (English) Zbl 1437.65107 J. Comput. Appl. Math. 378, Article ID 112920, 15 p. (2020). MSC: 65M06 35C05 35K20 35B45 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz}, J. Comput. Appl. Math. 378, Article ID 112920, 15 p. (2020; Zbl 1437.65107) Full Text: DOI
Calo, Victor M.; Ern, Alexandre; Muga, Ignacio; Rojas, Sergio An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms. (English) Zbl 1436.65173 Comput. Methods Appl. Mech. Eng. 363, Article ID 112891, 23 p. (2020). MSC: 65N30 65N12 76M10 PDFBibTeX XMLCite \textit{V. M. Calo} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112891, 23 p. (2020; Zbl 1436.65173) Full Text: DOI arXiv
Wechselberger, Martin Geometric singular perturbation theory beyond the standard form. (English) Zbl 1484.34001 Frontiers in Applied Dynamical Systems: Reviews and Tutorials 6. Cham: Springer (ISBN 978-3-030-36398-7/pbk; 978-3-030-36399-4/ebook). x, 137 p. (2020). Reviewer: Serhiy Yanchuk (Berlin) MSC: 34-02 34Exx 70K70 34C26 PDFBibTeX XMLCite \textit{M. Wechselberger}, Geometric singular perturbation theory beyond the standard form. Cham: Springer (2020; Zbl 1484.34001) Full Text: DOI
Khan, Hasib; Gómez-Aguilar, J. F.; Khan, Aziz; Khan, Tahir Saeed Stability analysis for fractional order advection-reaction diffusion system. (English) Zbl 1514.35461 Physica A 521, 737-751 (2019). MSC: 35R11 35B35 PDFBibTeX XMLCite \textit{H. Khan} et al., Physica A 521, 737--751 (2019; Zbl 1514.35461) Full Text: DOI
Kučera, Václav; Shu, Chi-Wang On the time growth of the error of the DG method for advective problems. (English) Zbl 1461.65240 IMA J. Numer. Anal. 39, No. 2, 687-712 (2019). MSC: 65M60 65M15 35L03 PDFBibTeX XMLCite \textit{V. Kučera} and \textit{C.-W. Shu}, IMA J. Numer. Anal. 39, No. 2, 687--712 (2019; Zbl 1461.65240) Full Text: DOI arXiv
Muga, Ignacio; Tyler, Matthew J. W.; van der Zee, Kristoffer G. The discrete-dual minimal-residual method (DDMRES) for weak advection-reaction problems in Banach spaces. (English) Zbl 1459.65223 Comput. Methods Appl. Math. 19, No. 3, 557-579 (2019). MSC: 65N30 46B20 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{I. Muga} et al., Comput. Methods Appl. Math. 19, No. 3, 557--579 (2019; Zbl 1459.65223) Full Text: DOI arXiv Link
Ciuperca, Ionel S.; Dumont, Matthieu; Lakmeche, Abdelkader; Mazzocco, Pauline; Pujo-Menjouet, Laurent; Rezaei, Human; Tine, Léon M. Alzheimer’s disease and prion: an in vitro mathematical model. (English) Zbl 1421.35378 Discrete Contin. Dyn. Syst., Ser. B 24, No. 10, 5225-5260 (2019). MSC: 35Q92 82D60 35A02 35A01 92C40 92C50 PDFBibTeX XMLCite \textit{I. S. Ciuperca} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 10, 5225--5260 (2019; Zbl 1421.35378) Full Text: DOI
Kropat, Erik; Meyer-Nieberg, Silja; Weber, Gerhard-Wilhelm Computational networks and systems – homogenization of variational problems on micro-architectured networks and devices. (English) Zbl 1412.35023 Optim. Methods Softw. 34, No. 3, 586-611 (2019). MSC: 35B27 35B25 35R02 35K57 PDFBibTeX XMLCite \textit{E. Kropat} et al., Optim. Methods Softw. 34, No. 3, 586--611 (2019; Zbl 1412.35023) Full Text: DOI
Ueda, Yuki; Saito, Norikazu The inf-sup condition and error estimates of the Nitsche method for evolutionary diffusion-advection-reaction equations. (English) Zbl 1410.65349 Japan J. Ind. Appl. Math. 36, No. 1, 209-238 (2019). MSC: 65M12 65M60 PDFBibTeX XMLCite \textit{Y. Ueda} and \textit{N. Saito}, Japan J. Ind. Appl. Math. 36, No. 1, 209--238 (2019; Zbl 1410.65349) Full Text: DOI arXiv
Wang, Lisha; Qin, Wendi; Ding, Xiaohua Dissipativity of \(\theta \)-methods for a class of advection-reaction-diffusion equations with both fixed and distributed delays. (English) Zbl 1499.65440 Int. J. Comput. Math. 95, No. 8, 1672-1687 (2018). MSC: 65M06 35K57 35R09 35R10 45D05 45J05 65L03 65M12 PDFBibTeX XMLCite \textit{L. Wang} et al., Int. J. Comput. Math. 95, No. 8, 1672--1687 (2018; Zbl 1499.65440) Full Text: DOI
Company, Rafael; Egorova, Vera N.; Jódar, Lucas Conditional full stability of positivity-preserving finite difference scheme for diffusion-advection-reaction models. (English) Zbl 1427.65154 J. Comput. Appl. Math. 341, 157-168 (2018). MSC: 65M06 65M12 65M20 35K57 PDFBibTeX XMLCite \textit{R. Company} et al., J. Comput. Appl. Math. 341, 157--168 (2018; Zbl 1427.65154) Full Text: DOI Link
Peynaud, Emilie Operator splitting and discontinuous Galerkin methods for advection-reaction-diffusion problem. Application to plant root growth. (English) Zbl 1425.92136 Biomath 7, No. 2, 92-110 (2018). MSC: 92C80 92C15 65M60 PDFBibTeX XMLCite \textit{E. Peynaud}, Biomath 7, No. 2, 92--110 (2018; Zbl 1425.92136) Full Text: DOI Link
Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Rodríguez, Rodolfo Combining the DPG method with finite elements. (English) Zbl 1417.65202 Comput. Methods Appl. Math. 18, No. 4, 639-652 (2018). MSC: 65N30 35J20 65N55 65N12 PDFBibTeX XMLCite \textit{T. Führer} et al., Comput. Methods Appl. Math. 18, No. 4, 639--652 (2018; Zbl 1417.65202) Full Text: DOI arXiv
Michel, T.; Fehrenbach, J.; Lobjois, V.; Laurent, J.; Gomes, A.; Colin, T.; Poignard, Clair Mathematical modeling of the proliferation gradient in multicellular tumor spheroids. (English) Zbl 1406.92059 J. Theor. Biol. 458, 133-147 (2018). MSC: 92C15 92C37 35Q92 PDFBibTeX XMLCite \textit{T. Michel} et al., J. Theor. Biol. 458, 133--147 (2018; Zbl 1406.92059) Full Text: DOI HAL
Giesselmann, Jan; Kolbe, Niklas; Lukáčová-Medviďová, Mária; Sfakianakis, Nikolaos Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model. (English) Zbl 1406.35429 Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4397-4431 (2018). MSC: 35Q92 35B09 35B45 35B65 92B05 92C17 35A09 92C37 35A01 35A02 PDFBibTeX XMLCite \textit{J. Giesselmann} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4397--4431 (2018; Zbl 1406.35429) Full Text: DOI arXiv
Dehghan, Mehdi; Abbaszadeh, Mostafa Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions. (English) Zbl 1404.65084 Comput. Appl. Math. 37, No. 3, 3869-3905 (2018). MSC: 65M06 65M60 35Q35 35Q53 76B15 65D05 76R50 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Appl. Math. 37, No. 3, 3869--3905 (2018; Zbl 1404.65084) Full Text: DOI
Iosifescu, Oana; Hammoudi, Alaaeddine Modelling and mathematical analysis of the dynamics of organic carbon in soil. (English) Zbl 1397.35317 Dogbe, Christian (ed.), Actes du colloque “EDP-Normandie”, Caen, France, Octobre 25–26, 2017. [s.l.]: Fédération Normandie-Mathématiques (ISBN 978-2-9541221-4-4/pbk). Normandie-Mathématiques, 115-120 (2018). MSC: 35Q92 74L15 35Q74 92C17 PDFBibTeX XMLCite \textit{O. Iosifescu} and \textit{A. Hammoudi}, in: Actes du colloque ``EDP-Normandie'', Caen, France, Octobre 25--26, 2017. [s.l.]: Fédération Normandie-Mathématiques. 115--120 (2018; Zbl 1397.35317)
Tian, Canrong; Ruan, Shigui On an advection-reaction-diffusion competition system with double free boundaries modeling invasion and competition of Aedes albopictus and Aedes aegypti mosquitoes. (English) Zbl 1403.35308 J. Differ. Equations 265, No. 9, 4016-4051 (2018). MSC: 35Q92 35B35 35K60 92B05 35B40 92D50 35C07 35R35 PDFBibTeX XMLCite \textit{C. Tian} and \textit{S. Ruan}, J. Differ. Equations 265, No. 9, 4016--4051 (2018; Zbl 1403.35308) Full Text: DOI
Paparella, Francesco; Popolizio, Marina Lagrangian numerical methods for ocean biogeochemical simulations. (English) Zbl 1390.86022 J. Comput. Phys. 360, 229-246 (2018). MSC: 86A05 65Z05 92E20 PDFBibTeX XMLCite \textit{F. Paparella} and \textit{M. Popolizio}, J. Comput. Phys. 360, 229--246 (2018; Zbl 1390.86022) Full Text: DOI arXiv
Barajas-Solano, David A.; Tartakovsky, Alexandre M. Probability and cumulative density function methods for the stochastic advection-reaction equation. (English) Zbl 1390.60225 SIAM/ASA J. Uncertain. Quantif. 6, 180-212 (2018). MSC: 60H15 60H30 60H35 PDFBibTeX XMLCite \textit{D. A. Barajas-Solano} and \textit{A. M. Tartakovsky}, SIAM/ASA J. Uncertain. Quantif. 6, 180--212 (2018; Zbl 1390.60225) Full Text: DOI
Tian, Canrong; Ruan, Shigui A free boundary problem for Aedes aegypti mosquito invasion. (English) Zbl 1443.92035 Appl. Math. Modelling 46, 203-217 (2017). MSC: 92-10 35B35 35K60 PDFBibTeX XMLCite \textit{C. Tian} and \textit{S. Ruan}, Appl. Math. Modelling 46, 203--217 (2017; Zbl 1443.92035) Full Text: DOI
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts. (English) Zbl 1448.65135 Comput. Math. Appl. 74, No. 5, 1029-1042 (2017). MSC: 65M20 65M06 65L05 35K51 65M50 35B45 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Comput. Math. Appl. 74, No. 5, 1029--1042 (2017; Zbl 1448.65135) Full Text: DOI
Lenarda, Pietro; Paggi, Marco; Ruiz Baier, Ricardo Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows. (English) Zbl 1380.76041 J. Comput. Phys. 344, 281-302 (2017). MSC: 76M10 76S05 76V05 76R50 76Z99 PDFBibTeX XMLCite \textit{P. Lenarda} et al., J. Comput. Phys. 344, 281--302 (2017; Zbl 1380.76041) Full Text: DOI
Cantin, Pierre; Ern, Alexandre An edge-based scheme on polyhedral meshes for vector advection-reaction equations. (English) Zbl 1402.65151 ESAIM, Math. Model. Numer. Anal. 51, No. 5, 1561-1581 (2017). Reviewer: Philipp Dörsek (London) MSC: 65N30 65N12 65N15 76R99 76D07 76W05 65N50 PDFBibTeX XMLCite \textit{P. Cantin} and \textit{A. Ern}, ESAIM, Math. Model. Numer. Anal. 51, No. 5, 1561--1581 (2017; Zbl 1402.65151) Full Text: DOI
Kropat, Erik; Meyer-Nieberg, Silja; Weber, Gerhard-Wilhelm Bridging the gap between variational homogenization results and two-scale asymptotic averaging techniques on periodic network structures. (English) Zbl 1372.35028 Numer. Algebra Control Optim. 7, No. 3, 223-250 (2017). MSC: 35B27 35R02 PDFBibTeX XMLCite \textit{E. Kropat} et al., Numer. Algebra Control Optim. 7, No. 3, 223--250 (2017; Zbl 1372.35028) Full Text: DOI
Cantin, Pierre; Bonelle, Jérôme; Burman, Erik; Ern, Alexandre A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization. (English) Zbl 1368.65248 Comput. Math. Appl. 72, No. 9, 2057-2071 (2016). MSC: 65N50 65N12 35F15 PDFBibTeX XMLCite \textit{P. Cantin} et al., Comput. Math. Appl. 72, No. 9, 2057--2071 (2016; Zbl 1368.65248) Full Text: DOI
Dickinson, Jillian Development of a process model for the prediction of absorbent degradation during \(\mathrm{CO}_2\) capture. (Abstract of thesis). (English) Zbl 1452.35217 Bull. Aust. Math. Soc. 94, No. 2, 339-340 (2016). MSC: 35Q92 35K57 PDFBibTeX XMLCite \textit{J. Dickinson}, Bull. Aust. Math. Soc. 94, No. 2, 339--340 (2016; Zbl 1452.35217) Full Text: DOI
Bennequin, Daniel; Gander, Martin J.; Gouarin, Loic; Halpern, Laurence Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions. (English) Zbl 1356.65225 Numer. Math. 134, No. 3, 513-567 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65M55 65M15 35L20 65Y05 PDFBibTeX XMLCite \textit{D. Bennequin} et al., Numer. Math. 134, No. 3, 513--567 (2016; Zbl 1356.65225) Full Text: DOI arXiv
Weber, Gerhard-Wilhelm; Meyer-Nieberg, Silja; Kropat, Erik Singularly perturbed diffusion-advection-reaction processes on extremely large three-dimensional curvilinear networks with a periodic microstructure – efficient solution strategies based on homogenization theory. (English) Zbl 1354.34058 Numer. Algebra Control Optim. 6, No. 2, 183-219 (2016). Reviewer: Guy Katriel (Haifa) MSC: 34B45 34E13 34E05 34E10 35J25 35B27 PDFBibTeX XMLCite \textit{G.-W. Weber} et al., Numer. Algebra Control Optim. 6, No. 2, 183--219 (2016; Zbl 1354.34058) Full Text: DOI
Gander, Martin J.; Halpern, Laurence; Martin, Véronique A new algorithm based on factorization for heterogeneous domain decomposition. (English) Zbl 1350.65108 Numer. Algorithms 73, No. 1, 167-195 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65M55 65M15 35K57 PDFBibTeX XMLCite \textit{M. J. Gander} et al., Numer. Algorithms 73, No. 1, 167--195 (2016; Zbl 1350.65108) Full Text: DOI arXiv
Hao, Xinan; Liu, Lishan; Wu, Yonghong Iterative solution for nonlinear impulsive advection- reaction-diffusion equations. (English) Zbl 1345.35055 J. Nonlinear Sci. Appl. 9, No. 6, 4070-4077 (2016). MSC: 35K57 35R12 35A01 35A02 PDFBibTeX XMLCite \textit{X. Hao} et al., J. Nonlinear Sci. Appl. 9, No. 6, 4070--4077 (2016; Zbl 1345.35055) Full Text: DOI Link
Kropat, Erik; Meyer-Nieberg, Silja; Weber, Gerhard-Wilhelm A topology optimization approach for micro-architectured systems on singularly perturbed periodic manifolds two-scale asymptotic analysis and the influence of the network topology. (English) Zbl 1338.34069 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 23, No. 3, 155-193 (2016). MSC: 34B45 34E13 34E05 34E10 PDFBibTeX XMLCite \textit{E. Kropat} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 23, No. 3, 155--193 (2016; Zbl 1338.34069) Full Text: Link
Solis, Francisco J.; Barradas, Ignacio Discrete multiple delay advection-reaction operators. (English) Zbl 1326.93079 J. Comput. Appl. Math. 291, 441-448 (2016). MSC: 93C55 93C05 65F30 PDFBibTeX XMLCite \textit{F. J. Solis} and \textit{I. Barradas}, J. Comput. Appl. Math. 291, 441--448 (2016; Zbl 1326.93079) Full Text: DOI
Torrisi, Mariano; Tracinà, Rita An application of equivalence transformations to reaction diffusion equations. (English) Zbl 1375.35011 Symmetry 7, No. 4, 1929-1944 (2015). MSC: 35A22 35K57 PDFBibTeX XMLCite \textit{M. Torrisi} and \textit{R. Tracinà}, Symmetry 7, No. 4, 1929--1944 (2015; Zbl 1375.35011) Full Text: DOI
Qin, Wendi; Ding, Deqiong; Ding, Xiaohua A non-standard finite difference scheme for an advection-diffusion-reaction equation. (English) Zbl 1329.65186 Math. Methods Appl. Sci. 38, No. 15, 3308-3321 (2015). MSC: 65M06 65M25 PDFBibTeX XMLCite \textit{W. Qin} et al., Math. Methods Appl. Sci. 38, No. 15, 3308--3321 (2015; Zbl 1329.65186) Full Text: DOI
Kropat, Erik; Meyer-Nieberg, Silja; Weber, Gerhard-Wilhelm Two-scale asymptotic analysis of singularly perturbed elliptic differential equations on large periodic networks. (English) Zbl 1329.34062 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 22, No. 4, 293-324 (2015). MSC: 34B45 34E13 34E05 34E10 PDFBibTeX XMLCite \textit{E. Kropat} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 22, No. 4, 293--324 (2015; Zbl 1329.34062) Full Text: Link
Harley, Kristen Canards in advection-reaction-diffusion systems in one spatial dimension. (Abstract of thesis). (English) Zbl 1326.34077 Bull. Aust. Math. Soc. 92, No. 2, 342-343 (2015). MSC: 34C37 34E17 34E15 35C07 PDFBibTeX XMLCite \textit{K. Harley}, Bull. Aust. Math. Soc. 92, No. 2, 342--343 (2015; Zbl 1326.34077) Full Text: DOI
Morita, Yoshihisa; Shinjo, Naoyuki A weakly coupled system of advection-reaction and diffusion equations in physiological gas transport. (English) Zbl 1323.35069 Japan J. Ind. Appl. Math. 32, No. 2, 437-463 (2015). MSC: 35K51 35B40 35K57 35Q92 PDFBibTeX XMLCite \textit{Y. Morita} and \textit{N. Shinjo}, Japan J. Ind. Appl. Math. 32, No. 2, 437--463 (2015; Zbl 1323.35069) Full Text: DOI
Zhang, Tie; Zhang, Shuhua Optimal convergence and a posteriori error analysis of the original DG method for advection-reaction equations. (English) Zbl 1340.65194 Appl. Math., Praha 60, No. 1, 1-20 (2015). Reviewer: Roman Kohut MSC: 65M12 65M60 35K20 65M15 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{S. Zhang}, Appl. Math., Praha 60, No. 1, 1--20 (2015; Zbl 1340.65194) Full Text: DOI Link
Liu, Hailiang; Yu, Hui Entropy/energy stable schemes for evolutionary dispersal models. (English) Zbl 1349.65318 J. Comput. Phys. 256, 656-677 (2014). MSC: 65M06 65M12 92-08 35K57 92D25 PDFBibTeX XMLCite \textit{H. Liu} and \textit{H. Yu}, J. Comput. Phys. 256, 656--677 (2014; Zbl 1349.65318) Full Text: DOI
Harley, K.; van Heijster, P.; Marangell, R.; Pettet, G. J.; Wechselberger, M. Existence of traveling wave solutions for a model of tumor invasion. (English) Zbl 1301.34075 SIAM J. Appl. Dyn. Syst. 13, No. 1, 366-396 (2014). MSC: 34E15 34C37 34E17 35C07 35L67 92C17 PDFBibTeX XMLCite \textit{K. Harley} et al., SIAM J. Appl. Dyn. Syst. 13, No. 1, 366--396 (2014; Zbl 1301.34075) Full Text: DOI Link
González-Pinto, S.; Hernández-Abreu, D.; Pérez-Rodríguez, S. Rosenbrock-type methods with inexact AMF for the time integration of advection-diffusion-reaction PDEs. (English) Zbl 1301.65092 J. Comput. Appl. Math. 262, 304-321 (2014). MSC: 65M06 65M12 65M20 PDFBibTeX XMLCite \textit{S. González-Pinto} et al., J. Comput. Appl. Math. 262, 304--321 (2014; Zbl 1301.65092) Full Text: DOI
Zhang, Zhigang; Morgan, Jeffrey J.; Lindahl, Paul A. Mathematical model for positioning the FtsZ contractile ring in Escherichia coli. (English) Zbl 1291.92017 J. Math. Biol. 68, No. 4, 911-930 (2014). MSC: 92C15 45K05 35K57 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Math. Biol. 68, No. 4, 911--930 (2014; Zbl 1291.92017) Full Text: DOI
Tauriello, Gerardo; Koumoutsakos, Petros Coupling remeshed particle and phase field methods for the simulation of reaction-diffusion on the surface and the interior of deforming geometries. (English) Zbl 1283.92013 SIAM J. Sci. Comput. 35, No. 6, B1285-B1303 (2013). MSC: 92C15 35K57 35Q92 35R35 PDFBibTeX XMLCite \textit{G. Tauriello} and \textit{P. Koumoutsakos}, SIAM J. Sci. Comput. 35, No. 6, B1285--B1303 (2013; Zbl 1283.92013) Full Text: DOI Link
Alifrangis, Pierre On the convergence rate of a reaction-diffusion equation with chemotaxis to a viscosity solution. (English) Zbl 1286.35037 J. Math. Anal. Appl. 403, No. 1, 314-329 (2013). MSC: 35B40 35K57 92C17 35B25 35D40 PDFBibTeX XMLCite \textit{P. Alifrangis}, J. Math. Anal. Appl. 403, No. 1, 314--329 (2013; Zbl 1286.35037) Full Text: DOI
Chapwanya, Michael; Lubuma, Jean M.-S.; Mickens, Ronald E. Nonstandard finite difference schemes for Michaelis–Menten type reaction-diffusion equations. (English) Zbl 1255.65141 Numer. Methods Partial Differ. Equations 29, No. 1, 337-360 (2013). MSC: 65L12 PDFBibTeX XMLCite \textit{M. Chapwanya} et al., Numer. Methods Partial Differ. Equations 29, No. 1, 337--360 (2013; Zbl 1255.65141) Full Text: DOI
Vergni, Davide; Iannaccone, Sandro; Berti, Stefano; Cencini, Massimo Invasions in heterogeneous habitats in the presence of advection. (English) Zbl 1397.92743 J. Theor. Biol. 301, 141-152 (2012). MSC: 92D40 35Q92 35K57 92D25 PDFBibTeX XMLCite \textit{D. Vergni} et al., J. Theor. Biol. 301, 141--152 (2012; Zbl 1397.92743) Full Text: DOI arXiv
Čiegis, Raimondas; Bugajev, Andrej Numerical approximation of one model of bacterial self-organization. (English) Zbl 1338.65212 Nonlinear Anal., Model. Control 17, No. 3, 253-270 (2012). MSC: 65M06 65M20 35K57 92C37 65M12 65M30 35R25 PDFBibTeX XMLCite \textit{R. Čiegis} and \textit{A. Bugajev}, Nonlinear Anal., Model. Control 17, No. 3, 253--270 (2012; Zbl 1338.65212)
Chapwanya, Michael; Lubuma, Jean M.-S.; Mickens, Ronald E. From enzyme kinetics to epidemiological models with Michaelis-Menten contact rate: design of nonstandard finite difference schemes. (English) Zbl 1252.65131 Comput. Math. Appl. 64, No. 3, 201-213 (2012). MSC: 65L12 92-08 92D30 PDFBibTeX XMLCite \textit{M. Chapwanya} et al., Comput. Math. Appl. 64, No. 3, 201--213 (2012; Zbl 1252.65131) Full Text: DOI
Geiser, Jürgen Spatially-dependent and nonlinear fluid transport: coupling framework. (English) Zbl 1254.35189 Cent. Eur. J. Math. 10, No. 1, 116-136 (2012). MSC: 35Q35 35K15 35K57 76M12 PDFBibTeX XMLCite \textit{J. Geiser}, Cent. Eur. J. Math. 10, No. 1, 116--136 (2012; Zbl 1254.35189) Full Text: DOI
Solis, Francisco J. Families of discrete advection-reaction operators investigated via divided differences. (English) Zbl 1245.65113 Appl. Math. Lett. 25, No. 4, 775-778 (2012). MSC: 65M06 35L45 PDFBibTeX XMLCite \textit{F. J. Solis}, Appl. Math. Lett. 25, No. 4, 775--778 (2012; Zbl 1245.65113) Full Text: DOI
Di Pietro, Daniele Antonio; Ern, Alexandre Mathematical aspects of discontinuous Galerkin methods. (English) Zbl 1231.65209 Mathématiques & Applications (Berlin) 69. Berlin: Springer (ISBN 978-3-642-22979-4/pbk; 978-3-642-22980-0/ebook). xvii, 384 p. (2012). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65M60 76M10 65-02 76R50 76M12 76D05 35Q30 65N12 65M12 65N50 65M50 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{A. Ern}, Mathematical aspects of discontinuous Galerkin methods. Berlin: Springer (2012; Zbl 1231.65209) Full Text: DOI
Sun, Li-Nan; Wu, Yu-Jiang; Yang, Ai-Li Uniform convergence analysis of finite difference approximations for advection-reaction-diffusion on adaptive grids. (English) Zbl 1244.65115 Int. J. Comput. Math. 88, No. 15, 3292-3307 (2011). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L10 65L11 65L12 65L20 65L70 65L50 34B15 34E15 PDFBibTeX XMLCite \textit{L.-N. Sun} et al., Int. J. Comput. Math. 88, No. 15, 3292--3307 (2011; Zbl 1244.65115) Full Text: DOI
O’Malley, Garrett M.; Paoletti, Matthew S.; Schwartz, Mollie E.; Solomon, Thomas H. Pinning and mode-locking of reaction fronts by vortices. (English) Zbl 1408.76566 Commun. Nonlinear Sci. Numer. Simul. 16, No. 12, 4558-4563 (2011). MSC: 76V05 35K57 80A32 PDFBibTeX XMLCite \textit{G. M. O'Malley} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 12, 4558--4563 (2011; Zbl 1408.76566) Full Text: DOI
Gander, Martin J.; Gouarin, Loïc; Halpern, Laurence Optimized Schwarz waveform relaxation methods: a large scale numerical study. (English) Zbl 1217.65190 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 261-268 (2011). MSC: 65M55 65M60 35K20 65M12 65Y20 PDFBibTeX XMLCite \textit{M. J. Gander} et al., Lect. Notes Comput. Sci. Eng. 78, 261--268 (2011; Zbl 1217.65190) Full Text: DOI
Geiser, Jürgen Mobile and immobile fluid transport: coupling framework. (English) Zbl 1444.76104 Int. J. Numer. Methods Fluids 65, No. 8, 877-922 (2011). MSC: 76S05 65M06 76M12 PDFBibTeX XMLCite \textit{J. Geiser}, Int. J. Numer. Methods Fluids 65, No. 8, 877--922 (2011; Zbl 1444.76104) Full Text: DOI
Strychalski, Wanda; Adalsteinsson, David; Elston, Timothy C. Simulating biochemical signaling networks in complex moving geometries. (English) Zbl 1214.92016 SIAM J. Sci. Comput. 32, No. 5, 3039-3070 (2010). MSC: 92C37 92C40 65C20 35Q92 35K57 65M08 92C42 PDFBibTeX XMLCite \textit{W. Strychalski} et al., SIAM J. Sci. Comput. 32, No. 5, 3039--3070 (2010; Zbl 1214.92016) Full Text: DOI Link
Samaey, Giovanni; Vanroose, Wim An analysis of equivalent operator preconditioning for equation-free Newton-Krylov methods. (English) Zbl 1210.65073 SIAM J. Numer. Anal. 48, No. 2, 633-658 (2010). MSC: 65F08 35K20 65M06 65F10 PDFBibTeX XMLCite \textit{G. Samaey} and \textit{W. Vanroose}, SIAM J. Numer. Anal. 48, No. 2, 633--658 (2010; Zbl 1210.65073) Full Text: DOI
Dedè, Luca Reduced basis method for parameterized elliptic advection-reaction problems. (English) Zbl 1224.65262 J. Comput. Math. 28, No. 1, 122-148 (2010). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{L. Dedè}, J. Comput. Math. 28, No. 1, 122--148 (2010; Zbl 1224.65262) Full Text: DOI
Alavani, Chitra; Glowinski, Roland; Gomez, Susana; Ivorra, Benjamin; Joshi, Pallavi; Ramos, Angel Manuel Modelling and simulation of a polluted water pumping process. (English) Zbl 1190.76168 Math. Comput. Modelling 51, No. 5-6, 461-472 (2010). MSC: 76T99 76M12 35K57 65Y05 PDFBibTeX XMLCite \textit{C. Alavani} et al., Math. Comput. Modelling 51, No. 5--6, 461--472 (2010; Zbl 1190.76168) Full Text: DOI
Solis, Francisco J.; Ongay, Fausto; Jerez, Silvia; Capistran, Marcos Convergence for a family of discrete advection-reaction operators. (English) Zbl 1189.39028 Comput. Math. Appl. 59, No. 1, 499-505 (2010). MSC: 39A70 39A06 40A05 65M06 PDFBibTeX XMLCite \textit{F. J. Solis} et al., Comput. Math. Appl. 59, No. 1, 499--505 (2010; Zbl 1189.39028) Full Text: DOI
Wang, Kaixin; Wang, Hong; Al-Lawatia, Mohamed A CFL-free explicit characteristic interior penalty scheme for linear advection-reaction equations. (English) Zbl 1193.65164 Numer. Methods Partial Differ. Equations 26, No. 3, 561-595 (2010). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M25 65M60 35L50 PDFBibTeX XMLCite \textit{K. Wang} et al., Numer. Methods Partial Differ. Equations 26, No. 3, 561--595 (2010; Zbl 1193.65164) Full Text: DOI
Burman, Erik A posteriori error estimation for interior penalty finite element approximations of the advection-reaction equation. (English) Zbl 1205.65249 SIAM J. Numer. Anal. 47, No. 5, 3584-3607 (2009). Reviewer: I. N. Katz (St. Louis) MSC: 65M15 35L04 65M60 PDFBibTeX XMLCite \textit{E. Burman}, SIAM J. Numer. Anal. 47, No. 5, 3584--3607 (2009; Zbl 1205.65249) Full Text: DOI Link
Parés, Núria; Díez, Pedro; Huerta, Antonio Exact bounds for linear outputs of the advection-diffusion-reaction equation using flux-free error estimates. (English) Zbl 1195.65157 SIAM J. Sci. Comput. 31, No. 4, 3064-3089 (2009). MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{N. Parés} et al., SIAM J. Sci. Comput. 31, No. 4, 3064--3089 (2009; Zbl 1195.65157) Full Text: DOI Link
Sacco, Riccardo Numerical simulation of charge transport in semiconductor devices using mixed finite elements. (English) Zbl 1181.82074 Wriggers, Peter (ed.) et al., Mixed finite element technologies. Wien: Springer (ISBN 978-3-211-99092-6/hbk; 978-3-211-99094-0/ebook). CISM Courses and Lectures 509, 89-105 (2009). MSC: 82D37 78A35 65M60 35K57 PDFBibTeX XMLCite \textit{R. Sacco}, in: Mixed finite element technologies. Wien: Springer. 89--105 (2009; Zbl 1181.82074) Full Text: DOI
Hamdi, Adel Identification of a time-varying point source in a system of two coupled linear diffusion-advection-reaction equations: application to surface water pollution. (English) Zbl 1180.35559 Inverse Probl. 25, No. 11, Article ID 115009, 21 p. (2009). MSC: 35R30 35Q35 92D40 PDFBibTeX XMLCite \textit{A. Hamdi}, Inverse Probl. 25, No. 11, Article ID 115009, 21 p. (2009; Zbl 1180.35559) Full Text: DOI