Schoof, R.; Castelli, G. F.; Dörfler, W. Simulation of the deformation for cycling chemo-mechanically coupled battery active particles with mechanical constraints. (English) Zbl 07750313 Comput. Math. Appl. 149, 135-149 (2023). MSC: 74S05 74M15 49J40 65N30 65M60 PDFBibTeX XMLCite \textit{R. Schoof} et al., Comput. Math. Appl. 149, 135--149 (2023; Zbl 07750313) Full Text: DOI arXiv
Gaffney, Eamonn A.; Krause, Andrew L.; Maini, Philip K.; Wang, Chenyuan Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems. (English) Zbl 1521.35029 Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6092-6125 (2023). MSC: 35B36 35K51 35K57 92C17 PDFBibTeX XMLCite \textit{E. A. Gaffney} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6092--6125 (2023; Zbl 1521.35029) Full Text: DOI arXiv
Tannahill, Connor; Wan, Justin MM-ADMM: implicit integration of MMPDEs in parallel. (English) Zbl 07691968 Comput. Math. Appl. 141, 67-79 (2023). MSC: 65N50 65M50 65M55 65M06 65M15 PDFBibTeX XMLCite \textit{C. Tannahill} and \textit{J. Wan}, Comput. Math. Appl. 141, 67--79 (2023; Zbl 07691968) Full Text: DOI
Fasondini, M.; King, J. R.; Weideman, J. A. C. Blow up in a periodic semilinear heat equation. (English) Zbl 1510.35068 Physica D 446, Article ID 133660, 14 p. (2023). MSC: 35B44 35C20 35K20 35K58 PDFBibTeX XMLCite \textit{M. Fasondini} et al., Physica D 446, Article ID 133660, 14 p. (2023; Zbl 1510.35068) Full Text: DOI arXiv
Aduamoah, Mildred; Goddard, Benjamin D.; Pearson, John W.; Roden, Jonna C. Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics. (English) Zbl 1502.35169 BIT 62, No. 4, 1703-1743 (2022). MSC: 35Q82 35Q93 82C22 82M36 65M70 65N35 65F10 35B65 49M41 PDFBibTeX XMLCite \textit{M. Aduamoah} et al., BIT 62, No. 4, 1703--1743 (2022; Zbl 1502.35169) Full Text: DOI
Oboyi, J.; Ekoro, S. E.; Ogunfeyitimi, S. E. On some multi-block reverse Adams methods for stiff problems. (English) Zbl 1489.65102 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 166, 18 p. (2022). MSC: 65L04 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{J. Oboyi} et al., Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 166, 18 p. (2022; Zbl 1489.65102) Full Text: DOI
Burkardt, John; Pei, Wenlong; Trenchea, Catalin A stress test for the midpoint time-stepping method. (English) Zbl 1490.65134 Int. J. Numer. Anal. Model. 19, No. 2-3, 299-314 (2022). MSC: 65L05 34D20 35L65 65C20 65D30 65L07 65L20 65M12 PDFBibTeX XMLCite \textit{J. Burkardt} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 299--314 (2022; Zbl 1490.65134) Full Text: Link
Villa, Andrea; Schurch, Roger; Buccella, Giacomo; Barbieri, Luca; Laurano, Christian; Malgesini, Roberto; Palladini, Daniele Simulation of surface-plasma interaction with high surface conductivity. (English) Zbl 07518107 J. Comput. Phys. 456, Article ID 111029, 26 p. (2022). MSC: 65Lxx 65Mxx 34Axx PDFBibTeX XMLCite \textit{A. Villa} et al., J. Comput. Phys. 456, Article ID 111029, 26 p. (2022; Zbl 07518107) Full Text: DOI
Iyaniwura, Sarafa A.; Ward, Michael J. Localised signalling compartments in 2D coupled by a bulk diffusion field: quorum sensing and synchronous oscillations in the well-mixed limit. (English) Zbl 1479.35051 Eur. J. Appl. Math. 32, No. 5, 1001-1031 (2021). MSC: 35B25 35B32 35B36 35K20 92B25 PDFBibTeX XMLCite \textit{S. A. Iyaniwura} and \textit{M. J. Ward}, Eur. J. Appl. Math. 32, No. 5, 1001--1031 (2021; Zbl 1479.35051) Full Text: DOI arXiv
Borges, J. S.; Ferreira, J. A.; Romanazzi, G.; Abreu, E. Drug release from viscoelastic polymeric matrices – a stable and supraconvergent FDM. (English) Zbl 1524.65318 Comput. Math. Appl. 99, 257-269 (2021). MSC: 65M06 35R09 65L05 82D60 35Q35 76A10 65M12 65M20 92C50 65M15 76Z05 PDFBibTeX XMLCite \textit{J. S. Borges} et al., Comput. Math. Appl. 99, 257--269 (2021; Zbl 1524.65318) Full Text: DOI
Liao, Hong-Lin; Zhang, Zhimin Analysis of adaptive BDF2 scheme for diffusion equations. (English) Zbl 1466.65067 Math. Comput. 90, No. 329, 1207-1226 (2021). MSC: 65M06 65M12 65M50 PDFBibTeX XMLCite \textit{H.-L. Liao} and \textit{Z. Zhang}, Math. Comput. 90, No. 329, 1207--1226 (2021; Zbl 1466.65067) Full Text: DOI arXiv
Dalwadi, Mohit P.; Waters, Sarah L.; Byrne, Helen M.; Hewitt, Ian J. A mathematical framework for developing freezing protocols in the cryopreservation of cells. (English) Zbl 1437.80003 SIAM J. Appl. Math. 80, No. 2, 657-689 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 80A22 80M20 80M35 35R37 35B40 65M20 PDFBibTeX XMLCite \textit{M. P. Dalwadi} et al., SIAM J. Appl. Math. 80, No. 2, 657--689 (2020; Zbl 1437.80003) Full Text: DOI
Woldaregay, Mesfin M.; Duressa, Gemechis F. Parameter uniform numerical method for singularly perturbed parabolic differential difference equations. (English) Zbl 1474.65321 J. Niger. Math. Soc. 38, No. 2, 223-245 (2019). MSC: 65M20 65M06 65Q20 PDFBibTeX XMLCite \textit{M. M. Woldaregay} and \textit{G. F. Duressa}, J. Niger. Math. Soc. 38, No. 2, 223--245 (2019; Zbl 1474.65321) Full Text: Link
Berger, Julien; Busser, Thomas; Dutykh, Denys; Mendes, Nathan An efficient method to estimate sorption isotherm curve coefficients. (English) Zbl 1483.65148 Inverse Probl. Sci. Eng. 27, No. 6, 735-772 (2019). MSC: 65M32 65M30 65M06 65L06 65K10 35Q79 80A23 93B30 93B35 35R30 35R25 PDFBibTeX XMLCite \textit{J. Berger} et al., Inverse Probl. Sci. Eng. 27, No. 6, 735--772 (2019; Zbl 1483.65148) Full Text: DOI arXiv
Bhatoo, Omishwary; Peer, Arshad Ahmud Iqbal; Tadmor, Eitan; Tangman, Désiré Yannick; Saib, Aslam Aly El Faidal Conservative third-order central-upwind schemes for option pricing problems. (English) Zbl 1437.91452 Vietnam J. Math. 47, No. 4, 813-833 (2019). MSC: 91G60 65M08 91G20 35Q91 65D32 PDFBibTeX XMLCite \textit{O. Bhatoo} et al., Vietnam J. Math. 47, No. 4, 813--833 (2019; Zbl 1437.91452) Full Text: DOI
Courtier, N. E.; Richardson, G.; Foster, J. M. A fast and robust numerical scheme for solving models of charge carrier transport and ion vacancy motion in perovskite solar cells. (English) Zbl 1480.82018 Appl. Math. Modelling 63, 329-348 (2018). MSC: 82M10 65M06 65M60 82C70 PDFBibTeX XMLCite \textit{N. E. Courtier} et al., Appl. Math. Modelling 63, 329--348 (2018; Zbl 1480.82018) Full Text: DOI arXiv
Somathilake, Lekam Watte; Burrage, Kevin A space-fractional-reaction-diffusion model for pattern formation in coral reefs. (English) Zbl 1426.92007 Cogent Math. Stat. 5, Article ID 1426524, 21 p. (2018). MSC: 92C15 35K57 35R11 35Q92 65M70 PDFBibTeX XMLCite \textit{L. W. Somathilake} and \textit{K. Burrage}, Cogent Math. Stat. 5, Article ID 1426524, 21 p. (2018; Zbl 1426.92007) Full Text: DOI
Wise, Elliott S.; Cox, Ben T.; Treeby, Bradley E. Bandwidth-based mesh adaptation in multiple dimensions. (English) Zbl 1415.76490 J. Comput. Phys. 371, 651-662 (2018). MSC: 76M22 65M70 PDFBibTeX XMLCite \textit{E. S. Wise} et al., J. Comput. Phys. 371, 651--662 (2018; Zbl 1415.76490) Full Text: DOI
Garon, Elyse M.; Lambers, James V. Modeling the diffusion of heat energy within composites of homogeneous materials using the uncertainty principle. (English) Zbl 1404.65194 Comput. Appl. Math. 37, No. 3, 2566-2587 (2018). MSC: 65M70 65N25 35P10 35P20 35K05 PDFBibTeX XMLCite \textit{E. M. Garon} and \textit{J. V. Lambers}, Comput. Appl. Math. 37, No. 3, 2566--2587 (2018; Zbl 1404.65194) Full Text: DOI Link
Fernández-Cara, Enrique; Prouvée, Laurent Optimal control of mathematical models for the radiotherapy of gliomas: the scalar case. (English) Zbl 1397.49064 Comput. Appl. Math. 37, No. 1, 745-762 (2018). MSC: 49S05 49J20 35K20 92C50 PDFBibTeX XMLCite \textit{E. Fernández-Cara} and \textit{L. Prouvée}, Comput. Appl. Math. 37, No. 1, 745--762 (2018; Zbl 1397.49064) Full Text: DOI
Spiliotis, Konstantinos; Russo, Lucia; Giannino, Francesco; Cuomo, Salvatore; Siettos, Constantinos; Toraldo, Gerardo Nonlinear Galerkin methods for a system of PDEs with Turing instabilities. (English) Zbl 1448.65247 Calcolo 55, No. 1, Paper No. 9, 23 p. (2018). MSC: 65N30 65M06 65L05 37L65 35B40 35B36 35B38 35B32 92C80 92C15 PDFBibTeX XMLCite \textit{K. Spiliotis} et al., Calcolo 55, No. 1, Paper No. 9, 23 p. (2018; Zbl 1448.65247) Full Text: DOI
Quintero, Maria C.; Cordovez, Juan M. Looking for an efficient and safe hyperthermia therapy: insights from a partial differential equations based model. (English) Zbl 1372.80003 Differ. Equ. Dyn. Syst. 25, No. 2, 137-150 (2017). MSC: 80A20 35Q79 92C05 78A40 65M20 80M25 80M20 80M50 65N06 PDFBibTeX XMLCite \textit{M. C. Quintero} and \textit{J. M. Cordovez}, Differ. Equ. Dyn. Syst. 25, No. 2, 137--150 (2017; Zbl 1372.80003) Full Text: DOI
Balajewicz, Maciej; Tezaur, Irina; Dowell, Earl Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations. (English) Zbl 1349.76171 J. Comput. Phys. 321, 224-241 (2016). MSC: 76M10 65M60 65M20 76Nxx PDFBibTeX XMLCite \textit{M. Balajewicz} et al., J. Comput. Phys. 321, 224--241 (2016; Zbl 1349.76171) Full Text: DOI arXiv
Kulyamin, Dmitry V.; Dymnikov, Valentin P. Numerical modelling of coupled neutral atmospheric general circulation and ionosphere D region. (English) Zbl 1346.86004 Russ. J. Numer. Anal. Math. Model. 31, No. 3, 159-171 (2016). MSC: 86A10 86-08 65M06 65Z05 PDFBibTeX XMLCite \textit{D. V. Kulyamin} and \textit{V. P. Dymnikov}, Russ. J. Numer. Anal. Math. Model. 31, No. 3, 159--171 (2016; Zbl 1346.86004) Full Text: DOI
Sabouri, Mania; Dehghan, Mehdi An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point. (English) Zbl 1443.65252 Comput. Math. Appl. 70, No. 10, 2513-2541 (2015). MSC: 65M70 65M20 35K59 PDFBibTeX XMLCite \textit{M. Sabouri} and \textit{M. Dehghan}, Comput. Math. Appl. 70, No. 10, 2513--2541 (2015; Zbl 1443.65252) Full Text: DOI
Dehghan, Mehdi; Mohammadi, Vahid The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: the Crank-Nicolson scheme and the method of lines (MOL). (English) Zbl 1443.65120 Comput. Math. Appl. 70, No. 10, 2292-2315 (2015). MSC: 65M06 65M20 35Q35 76W05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{V. Mohammadi}, Comput. Math. Appl. 70, No. 10, 2292--2315 (2015; Zbl 1443.65120) Full Text: DOI
Diehl, S.; Farås, S.; Mauritsson, G. Fast reliable simulations of secondary settling tanks in wastewater treatment with semi-implicit time discretization. (English) Zbl 1443.76212 Comput. Math. Appl. 70, No. 4, 459-477 (2015). MSC: 76S05 65M20 92C45 PDFBibTeX XMLCite \textit{S. Diehl} et al., Comput. Math. Appl. 70, No. 4, 459--477 (2015; Zbl 1443.76212) Full Text: DOI
Rybář, Vojtěch; Vejchodský, Tomáš Irregularity of Turing patterns in the Thomas model with a unilateral term. (English) Zbl 1374.65168 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 17. Proceedings of the 17th seminar (PANM), Dolní Maxov, Czech Republic, June 8–13, 2014. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-64-6). 188-193 (2015). Reviewer: Vit Dolejsi (Praha) MSC: 65M60 35K57 35Q92 35K86 PDFBibTeX XMLCite \textit{V. Rybář} and \textit{T. Vejchodský}, in: Programs and algorithms of numerical mathematics 17. Proceedings of the 17th seminar (PANM), Dolní Maxov, Czech Republic, June 8--13, 2014. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 188--193 (2015; Zbl 1374.65168) Full Text: Link
Tiago, Jorge Numerical simulations for the stabilization and estimation problem of a semilinear partial differential equation. (English) Zbl 1329.65230 Appl. Numer. Math. 98, 18-37 (2015). MSC: 65M60 35K20 35K59 65M12 35Q53 PDFBibTeX XMLCite \textit{J. Tiago}, Appl. Numer. Math. 98, 18--37 (2015; Zbl 1329.65230) Full Text: DOI
Rossides, Tasos; Lloyd, David J. B.; Zelik, Sergey Computing interacting multi-fronts in one dimensional real Ginzburg Landau equations. (English) Zbl 1319.65092 J. Sci. Comput. 63, No. 3, 799-819 (2015). MSC: 65M20 35Q56 PDFBibTeX XMLCite \textit{T. Rossides} et al., J. Sci. Comput. 63, No. 3, 799--819 (2015; Zbl 1319.65092) Full Text: DOI Link
Robalo, Rui J.; Almeida, Rui M. P.; Coimbra, Maria do Carmo; Ferreira, Jorge A reaction-diffusion model for a class of nonlinear parabolic equations with moving boundaries: existence, uniqueness, exponential decay and simulation. (English) Zbl 1449.35263 Appl. Math. Modelling 38, No. 23, 5609-5622 (2014). MSC: 35K55 35K20 35A01 35A02 35B40 PDFBibTeX XMLCite \textit{R. J. Robalo} et al., Appl. Math. Modelling 38, No. 23, 5609--5622 (2014; Zbl 1449.35263) Full Text: DOI
Duque, José C. M.; Almeida, Rui M. P.; Antontsev, Stanislav N. Numerical study of the porous medium equation with absorption, variable exponents of nonlinearity and free boundary. (English) Zbl 1334.76091 Appl. Math. Comput. 235, 137-147 (2014). MSC: 76M20 65M06 76S05 PDFBibTeX XMLCite \textit{J. C. M. Duque} et al., Appl. Math. Comput. 235, 137--147 (2014; Zbl 1334.76091) Full Text: DOI
Dehghan, Mehdi; Sabouri, Mania A Legendre spectral element method on a large spatial domain to solve the predator-prey system modeling interacting populations. (English) Zbl 1352.65389 Appl. Math. Modelling 37, No. 3, 1028-1038 (2013). MSC: 65M70 65M60 35K51 35Q92 92D25 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Sabouri}, Appl. Math. Modelling 37, No. 3, 1028--1038 (2013; Zbl 1352.65389) Full Text: DOI
Okuonghae, R. I. A class of \(A(\alpha)\)-stable numerical methods for stiff problems in ordinary differential equations. (Russian, English) Zbl 1299.65136 Sib. Zh. Vychisl. Mat. 16, No. 4, 347-364 (2013); translation in Numer. Analysis Appl. 6, No. 4, 298-313 (2013). MSC: 65L04 65L05 65L20 34A34 65L06 65L60 PDFBibTeX XMLCite \textit{R. I. Okuonghae}, Sib. Zh. Vychisl. Mat. 16, No. 4, 347--364 (2013; Zbl 1299.65136); translation in Numer. Analysis Appl. 6, No. 4, 298--313 (2013) Full Text: DOI
Dehghan, Mehdi; Sabouri, Mania A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements. (English) Zbl 1349.74320 Appl. Math. Modelling 36, No. 12, 6031-6049 (2012). MSC: 74S05 74L15 74F05 65M60 92-08 92C50 80A20 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Sabouri}, Appl. Math. Modelling 36, No. 12, 6031--6049 (2012; Zbl 1349.74320) Full Text: DOI
Guimarães, Osvaldo; Piqueira, José Roberto C. Error upper bounds for a computational method for nonlinear boundary and initial-value problems. (English) Zbl 1264.65147 Math. Probl. Eng. 2012, Article ID 565896, 12 p. (2012). MSC: 65M15 PDFBibTeX XMLCite \textit{O. Guimarães} and \textit{J. R. C. Piqueira}, Math. Probl. Eng. 2012, Article ID 565896, 12 p. (2012; Zbl 1264.65147) Full Text: DOI
Steinebach, Gerd; Weiner, Rüdiger Peer methods for the one-dimensional shallow-water equations with CWENO space discretization. (English) Zbl 1295.76023 Appl. Numer. Math. 62, No. 10, 1567-1578 (2012). MSC: 76M20 76B15 65M06 65M20 PDFBibTeX XMLCite \textit{G. Steinebach} and \textit{R. Weiner}, Appl. Numer. Math. 62, No. 10, 1567--1578 (2012; Zbl 1295.76023) Full Text: DOI
Lang, Holger; Arnold, Martin Numerical aspects in the dynamic simulation of geometrically exact rods. (English) Zbl 1295.70004 Appl. Numer. Math. 62, No. 10, 1411-1427 (2012). MSC: 70E55 74K10 65L05 65M20 PDFBibTeX XMLCite \textit{H. Lang} and \textit{M. Arnold}, Appl. Numer. Math. 62, No. 10, 1411--1427 (2012; Zbl 1295.70004) Full Text: DOI Link
Brunk, Markus; Kværnø, Anne Positivity preserving discretization of time dependent semiconductor drift-diffusion equations. (English) Zbl 1258.82009 Appl. Numer. Math. 62, No. 10, 1289-1301 (2012). Reviewer: Alexander Mikhajlovich Blokhin (Novosibirsk) MSC: 82D37 65M60 82-08 65L60 PDFBibTeX XMLCite \textit{M. Brunk} and \textit{A. Kværnø}, Appl. Numer. Math. 62, No. 10, 1289--1301 (2012; Zbl 1258.82009) Full Text: DOI
Porubov, A. V.; Maugin, G. A.; Andrievsky, B. R. Solitary wave interactions and reshaping in coupled systems. (English) Zbl 1365.35090 Wave Motion 48, No. 8, 773-781 (2011). MSC: 35L51 35L71 65M20 35Q51 PDFBibTeX XMLCite \textit{A. V. Porubov} et al., Wave Motion 48, No. 8, 773--781 (2011; Zbl 1365.35090) Full Text: DOI
Steinboeck, Andreas; Wild, D.; Kiefer, T.; Kugi, Andreas A fast simulation method for 1D heat conduction. (English) Zbl 1244.65144 Math. Comput. Simul. 82, No. 3, 392-403 (2011). MSC: 65M60 65M06 35K05 80A20 80M10 PDFBibTeX XMLCite \textit{A. Steinboeck} et al., Math. Comput. Simul. 82, No. 3, 392--403 (2011; Zbl 1244.65144) Full Text: DOI
Porubov, A. V.; Andrievsky, B. R. Influence of coupling on nonlinear waves localization. (English) Zbl 1221.65265 Commun. Nonlinear Sci. Numer. Simul. 16, No. 10, 3964-3970 (2011). MSC: 65M70 35L70 PDFBibTeX XMLCite \textit{A. V. Porubov} and \textit{B. R. Andrievsky}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 10, 3964--3970 (2011; Zbl 1221.65265) Full Text: DOI
Ganesh, M.; Le Gia, Q. T.; Sloan, I. H. A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres. (English) Zbl 1387.65109 Math. Comput. 80, No. 275, 1397-1430 (2011). MSC: 65M70 35Q30 76D05 76M22 76U05 65T50 PDFBibTeX XMLCite \textit{M. Ganesh} et al., Math. Comput. 80, No. 275, 1397--1430 (2011; Zbl 1387.65109) Full Text: DOI arXiv
Bertaccini, Daniele; Sisto, Renata Fast numerical solution of nonlinear nonlocal cochlear models. (English) Zbl 1316.92007 J. Comput. Phys. 230, No. 7, 2575-2587 (2011). MSC: 92-08 92C99 65M06 PDFBibTeX XMLCite \textit{D. Bertaccini} and \textit{R. Sisto}, J. Comput. Phys. 230, No. 7, 2575--2587 (2011; Zbl 1316.92007) Full Text: DOI
Lambers, James V. A spectral time-domain method for computational electrodynamics. (English) Zbl 1262.65140 Adv. Appl. Math. Mech. 1, No. 6, 781-798 (2009). MSC: 65M70 78A48 PDFBibTeX XMLCite \textit{J. V. Lambers}, Adv. Appl. Math. Mech. 1, No. 6, 781--798 (2009; Zbl 1262.65140) Full Text: DOI
Fazio, Riccardo Numerical transformation methods: Blasius problem and its variants. (English) Zbl 1422.76051 Appl. Math. Comput. 215, No. 4, 1513-1521 (2009). MSC: 76D10 76M25 PDFBibTeX XMLCite \textit{R. Fazio}, Appl. Math. Comput. 215, No. 4, 1513--1521 (2009; Zbl 1422.76051) Full Text: DOI
Soheili, Ali R.; Naghipoor, J.; Ahmadian, S. A. A gradient weighted moving finite-element method with polynomial approximation of any degree. (English) Zbl 1179.76098 Math. Probl. Eng. 2009, Article ID 602712, 17 p. (2009). MSC: 76W05 65M15 65M60 35Q53 PDFBibTeX XMLCite \textit{A. R. Soheili} et al., Math. Probl. Eng. 2009, Article ID 602712, 17 p. (2009; Zbl 1179.76098) Full Text: DOI EuDML
Bertaccini, Daniele; Fanelli, Stefano Computational and conditioning issues of a discrete model for cochlear sensorineural hypoacusia. (English) Zbl 1165.92020 Appl. Numer. Math. 59, No. 8, 1989-2001 (2009). MSC: 92C50 93A30 65F99 65N99 65M99 PDFBibTeX XMLCite \textit{D. Bertaccini} and \textit{S. Fanelli}, Appl. Numer. Math. 59, No. 8, 1989--2001 (2009; Zbl 1165.92020) Full Text: DOI
Lambers, James V. Krylov subspace spectral methods for the time-dependent Schrödinger equation with non-smooth potentials. (English) Zbl 1168.65055 Numer. Algorithms 51, No. 2, 239-280 (2009). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 65M12 35Q40 81Q05 PDFBibTeX XMLCite \textit{J. V. Lambers}, Numer. Algorithms 51, No. 2, 239--280 (2009; Zbl 1168.65055) Full Text: DOI
Novati, Paolo Some secant approximations for Rosenbrock \(W\)-methods. (English) Zbl 1135.65343 Appl. Numer. Math. 58, No. 3, 195-211 (2008). MSC: 65L05 65L06 34A34 65M20 35K55 PDFBibTeX XMLCite \textit{P. Novati}, Appl. Numer. Math. 58, No. 3, 195--211 (2008; Zbl 1135.65343) Full Text: DOI
Novati, Paolo On the construction of restricted-denominator exponential W-methods. (English) Zbl 1141.65058 J. Comput. Appl. Math. 212, No. 1, 86-101 (2008). Reviewer: Othmar Koch (Baden) MSC: 65L05 65M20 34A34 35K55 65F10 65L50 PDFBibTeX XMLCite \textit{P. Novati}, J. Comput. Appl. Math. 212, No. 1, 86--101 (2008; Zbl 1141.65058) Full Text: DOI
Devault, Kristen J.; Gremaud, Pierre A.; Jenssen, Helge Kristian Numerical investigation of cavitation in multidimensional compressible flows. (English) Zbl 1221.35275 SIAM J. Appl. Math. 67, No. 6, 1675-1692 (2007). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q30 65M70 76N15 76M22 PDFBibTeX XMLCite \textit{K. J. Devault} et al., SIAM J. Appl. Math. 67, No. 6, 1675--1692 (2007; Zbl 1221.35275) Full Text: DOI Link
Lambers, James V. Practical implementation of Krylov subspace spectral methods. (English) Zbl 1134.65072 J. Sci. Comput. 32, No. 3, 449-476 (2007). Reviewer: Vit Dolejsi (Praha) MSC: 65M70 35K15 PDFBibTeX XMLCite \textit{J. V. Lambers}, J. Sci. Comput. 32, No. 3, 449--476 (2007; Zbl 1134.65072) Full Text: DOI
Zhao, Jichao; Davison, Matt; Corless, Robert M. Compact finite difference method for American option pricing. (English) Zbl 1151.91552 J. Comput. Appl. Math. 206, No. 1, 306-321 (2007). MSC: 91G60 65M06 91G20 60G40 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Comput. Appl. Math. 206, No. 1, 306--321 (2007; Zbl 1151.91552) Full Text: DOI
Shampine, L. F. Design of software for ODEs. (English) Zbl 1116.65085 J. Comput. Appl. Math. 205, No. 2, 901-911 (2007). MSC: 65L05 65L10 65Y15 34K28 PDFBibTeX XMLCite \textit{L. F. Shampine}, J. Comput. Appl. Math. 205, No. 2, 901--911 (2007; Zbl 1116.65085) Full Text: DOI
Zlatev, Zahari; Dimov, Ivan Computational and numerical challenges in environmental modelling. (English) Zbl 1120.65103 Studies in Computational Mathematics 13. Amsterdam: Elsevier (ISBN 978-0-444-52209-2). xviii, 373 p. (2006). MSC: 65M20 65-02 65Y05 35Kxx PDFBibTeX XMLCite \textit{Z. Zlatev} and \textit{I. Dimov}, Computational and numerical challenges in environmental modelling. Amsterdam: Elsevier (2006; Zbl 1120.65103) Full Text: Link
Budd, Chris; Koch, Othmar; Weinmüller, Ewa From nonlinear PDEs to singular ODEs. (English) Zbl 1089.65104 Appl. Numer. Math. 56, No. 3-4, 413-422 (2006). MSC: 65M70 35K55 PDFBibTeX XMLCite \textit{C. Budd} et al., Appl. Numer. Math. 56, No. 3--4, 413--422 (2006; Zbl 1089.65104) Full Text: DOI
Thümmler, Vera Numerical analysis of the method of freezing traveling waves. (English) Zbl 1213.65119 Bielefeld: Univ. Bielefeld, Fakultät für Mathematik (Diss.). 155 p. (2005). MSC: 65M06 35L60 34A09 65L80 65M12 PDFBibTeX XMLCite \textit{V. Thümmler}, Numerical analysis of the method of freezing traveling waves. Bielefeld: Univ. Bielefeld, Fakultät für Mathematik (Diss.) (2005; Zbl 1213.65119) Full Text: Link
Soane, Ana Maria; Gobbert, Matthias K.; Seidman, Thomas I. Numerical exploration of a system of reaction-diffusion equations with internal and transient layers. (English) Zbl 1083.35005 Nonlinear Anal., Real World Appl. 6, No. 5, 914-934 (2005). Reviewer: Angela Handlovičová (Bratislava) MSC: 35A35 35B25 35K57 65M60 65M20 PDFBibTeX XMLCite \textit{A. M. Soane} et al., Nonlinear Anal., Real World Appl. 6, No. 5, 914--934 (2005; Zbl 1083.35005) Full Text: DOI
Bause, Markus; Knabner, Peter Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping. (English) Zbl 1120.76321 Comput. Vis. Sci. 7, No. 2, 61-78 (2004). MSC: 76M10 65M60 76R50 76S05 76V05 92D40 PDFBibTeX XMLCite \textit{M. Bause} and \textit{P. Knabner}, Comput. Vis. Sci. 7, No. 2, 61--78 (2004; Zbl 1120.76321) Full Text: DOI
Hanhart, Alexander L.; Gobbert, Matthias K.; Izu, Leighton T. A memory-efficient finite element method for systems of reaction–diffusion equations with non-smooth forcing. (English) Zbl 1052.65092 J. Comput. Appl. Math. 169, No. 2, 431-458 (2004). MSC: 65M60 35K57 65M12 65Y05 92C30 92C17 PDFBibTeX XMLCite \textit{A. L. Hanhart} et al., J. Comput. Appl. Math. 169, No. 2, 431--458 (2004; Zbl 1052.65092) Full Text: DOI
Ropp, David L.; Shadid, John N.; Ober, Curtis C. Studies of the accuracy of time integration methods for reaction-diffusion equations. (English) Zbl 1039.65069 J. Comput. Phys. 194, No. 2, 544-574 (2004). MSC: 65M60 35K57 PDFBibTeX XMLCite \textit{D. L. Ropp} et al., J. Comput. Phys. 194, No. 2, 544--574 (2004; Zbl 1039.65069) Full Text: DOI
deMello, J. C. Highly convergent simulations of transport dynamics in organic light-emitting diodes. (English) Zbl 1008.82037 J. Comput. Phys. 181, No. 2, 564-576 (2002). MSC: 82D60 65M20 82D37 PDFBibTeX XMLCite \textit{J. C. deMello}, J. Comput. Phys. 181, No. 2, 564--576 (2002; Zbl 1008.82037) Full Text: DOI
Banks, H. T.; Musante, C. J.; Raye, J. K. Predictions for a distributed parameter model decribing the hepatic processing of 2,3,7,8-TCDD. (English) Zbl 0960.92014 Math. Comput. Modelling 33, No. 1-3, 49-64 (2001). MSC: 92C45 35Q92 65M60 35R10 PDFBibTeX XMLCite \textit{H. T. Banks} et al., Math. Comput. Modelling 33, No. 1--3, 49--64 (2001; Zbl 0960.92014) Full Text: DOI
Shampine, L. F. Linear conservation laws for ODEs. (English) Zbl 0999.65071 Comput. Math. Appl. 35, No. 10, 45-53 (1998). MSC: 65L06 65L05 35Q30 65L80 34A34 65M20 34A09 PDFBibTeX XMLCite \textit{L. F. Shampine}, Comput. Math. Appl. 35, No. 10, 45--53 (1998; Zbl 0999.65071) Full Text: DOI
Brugnano, Luigi; Trigiante, Donato Parallel implementation of block boundary value methods on nonlinear problems: Theoretical results. (English) Zbl 0927.65089 Appl. Numer. Math. 28, No. 2-4, 127-141 (1998). Reviewer: P.Chocholatý (Bratislava) MSC: 65L05 34A34 65Y05 PDFBibTeX XMLCite \textit{L. Brugnano} and \textit{D. Trigiante}, Appl. Numer. Math. 28, No. 2--4, 127--141 (1998; Zbl 0927.65089) Full Text: DOI
Piché, Robert An \(L\)-stable Rosenbrock method for step-by-step time integration in structural dynamics. (English) Zbl 1067.74596 Comput. Methods Appl. Mech. Eng. 126, No. 3-4, 343-354 (1995). MSC: 74S20 74H15 65M12 PDFBibTeX XMLCite \textit{R. Piché}, Comput. Methods Appl. Mech. Eng. 126, No. 3--4, 343--354 (1995; Zbl 1067.74596) Full Text: DOI