Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation. (English) Zbl 07810329 Math. Comput. 93, No. 347, 1153-1202 (2024). MSC: 65M60 65M06 65N30 65M75 65D05 65F55 65P10 82C40 78A35 78A25 78M34 76X05 82D10 35Q83 35Q60 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., Math. Comput. 93, No. 347, 1153--1202 (2024; Zbl 07810329) Full Text: DOI arXiv
Nguyen, Son H.; Phan, Duc-Huynh Analysis of free vibration in thin-walled plates using an enhanced polygonal plate element with selective interpolation approach. (English) Zbl 07801630 Comput. Math. Appl. 156, 42-55 (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{S. H. Nguyen} and \textit{D.-H. Phan}, Comput. Math. Appl. 156, 42--55 (2024; Zbl 07801630) Full Text: DOI
Goutaudier, Dimitri; Nobile, Fabio; Schiffmann, Jürg A new method to interpolate POD reduced bases-application to the parametric model order reduction of a gas bearings supported rotor. (English) Zbl 07772304 Int. J. Numer. Methods Eng. 124, No. 18, 4141-4170 (2023). MSC: 65M99 65N06 65L60 65D05 65D32 76N15 PDFBibTeX XMLCite \textit{D. Goutaudier} et al., Int. J. Numer. Methods Eng. 124, No. 18, 4141--4170 (2023; Zbl 07772304) Full Text: DOI OA License
Agarwal, Ravi P.; Alghamdi, Ahmad M.; Gala, Sadek; Ragusa, Maria Alessandra Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces. (English) Zbl 1522.76017 Demonstr. Math. 56, Article ID 20220221, 11 p. (2023). Reviewer: Changxing Miao (Beijing) MSC: 76D03 35Q35 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Demonstr. Math. 56, Article ID 20220221, 11 p. (2023; Zbl 1522.76017) Full Text: DOI
Boulbe, Cédric; Faugeras, Blaise; Gros, Guillaume; Rapetti, Francesca Tokamak free-boundary plasma equilibrium computations in presence of non-linear materials. (English) Zbl 1517.65083 J. Sci. Comput. 96, No. 2, Paper No. 42, 21 p. (2023). MSC: 65M60 65M06 65N30 65K10 65D05 76W05 76X05 76T06 82D75 35Q35 35Q82 PDFBibTeX XMLCite \textit{C. Boulbe} et al., J. Sci. Comput. 96, No. 2, Paper No. 42, 21 p. (2023; Zbl 1517.65083) Full Text: DOI
Dolejší, Vít; May, Georg An anisotropic hp-mesh adaptation method for time-dependent problems based on interpolation error control. (English) Zbl 1522.65238 J. Sci. Comput. 95, No. 2, Paper No. 36, 31 p. (2023). MSC: 65N50 65M60 65N15 65D05 76B47 76N10 35A01 35A02 35Q35 PDFBibTeX XMLCite \textit{V. Dolejší} and \textit{G. May}, J. Sci. Comput. 95, No. 2, Paper No. 36, 31 p. (2023; Zbl 1522.65238) Full Text: DOI
Peng, Hongyun; Zhai, Xiaoping The Cauchy problem for the \(N\)-dimensional compressible Navier-Stokes equations without heat conductivity. (English) Zbl 1523.76082 SIAM J. Math. Anal. 55, No. 2, 1439-1463 (2023). Reviewer: Václav Mácha (Praha) MSC: 76N06 76N10 35Q30 PDFBibTeX XMLCite \textit{H. Peng} and \textit{X. Zhai}, SIAM J. Math. Anal. 55, No. 2, 1439--1463 (2023; Zbl 1523.76082) Full Text: DOI
Hess, Martin; Rozza, Gianluigi Model reduction using sparse polynomial interpolation for the incompressible Navier-Stokes equations. (English) Zbl 1506.65235 Vietnam J. Math. 51, No. 1, 199-211 (2023). MSC: 65N35 65D05 65N30 41A05 41A10 76D05 76M12 76M22 76M10 35Q30 PDFBibTeX XMLCite \textit{M. Hess} and \textit{G. Rozza}, Vietnam J. Math. 51, No. 1, 199--211 (2023; Zbl 1506.65235) Full Text: DOI arXiv
Domínguez, Óscar; Milman, Mario A sharp stability criterion for Euler equations via sparseness. arXiv:2310.19659 Preprint, arXiv:2310.19659 [math.AP] (2023). MSC: 76B03 42B35 42B37 46B70 BibTeX Cite \textit{Ó. Domínguez} and \textit{M. Milman}, ``A sharp stability criterion for Euler equations via sparseness'', Preprint, arXiv:2310.19659 [math.AP] (2023) Full Text: arXiv OA License
Dominguez, Oscar; Milman, Mario Uniqueness for 2D Euler and transport equations via extrapolation. arXiv:2306.08082 Preprint, arXiv:2306.08082 [math.AP] (2023). MSC: 46M35 76B03 BibTeX Cite \textit{O. Dominguez} and \textit{M. Milman}, ``Uniqueness for 2D Euler and transport equations via extrapolation'', Preprint, arXiv:2306.08082 [math.AP] (2023) Full Text: arXiv OA License
Saitta, Serena; Fabbrocino, Francesco; Vescovini, Riccardo; Fantuzzi, Nicholas; Luciano, Raimondo Radial point interpolation method for isotropic nanoplates in bending using strain gradient theory. (English) Zbl 07714920 Int. J. Comput. Methods 19, No. 10, Article ID 2250023, 22 p. (2022). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{S. Saitta} et al., Int. J. Comput. Methods 19, No. 10, Article ID 2250023, 22 p. (2022; Zbl 07714920) Full Text: DOI
Breiten, Tobias; Beattie, Christopher; Gugercin, Serkan \(\mathcal{H}_2\)-gap model reduction for stabilizable and detectable systems. (English) Zbl 1504.93034 Beattie, Christopher (ed.) et al., Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 317-334 (2022). MSC: 93B11 93C05 76D05 PDFBibTeX XMLCite \textit{T. Breiten} et al., in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 317--334 (2022; Zbl 1504.93034) Full Text: DOI arXiv
Lim, Gyuha; Zhu, Yajun; Xu, Kun High-order unified gas-kinetic scheme. (English) Zbl 1498.65144 Commun. Comput. Phys. 32, No. 4, 951-979 (2022). MSC: 65M08 65D05 76P05 82B40 PDFBibTeX XMLCite \textit{G. Lim} et al., Commun. Comput. Phys. 32, No. 4, 951--979 (2022; Zbl 1498.65144) Full Text: DOI arXiv
Kozubskaya, T. K.; Kudryavtseva, L. N.; Tsvetkova, V. O. Anisotropic adaptation of moving unstructured mesh to bodies of complex shapes described by an interpolation octree. (English. Russian original) Zbl 1522.76067 Comput. Math. Math. Phys. 62, No. 10, 1590-1601 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 10, 1620-1631 (2022). MSC: 76M99 76N15 65M50 PDFBibTeX XMLCite \textit{T. K. Kozubskaya} et al., Comput. Math. Math. Phys. 62, No. 10, 1590--1601 (2022; Zbl 1522.76067); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 10, 1620--1631 (2022) Full Text: DOI
Ilyin, Alexei; Kostianko, Anna; Zelik, Sergey Applications of the Lieb-Thirring and other bounds for orthonormal systems in mathematical hydrodynamics. (English) Zbl 1495.76030 Frank, Rupert L. (ed.) et al., The physics and mathematics of Elliott Lieb. The 90th anniversary. Volume I. Berlin: European Mathematical Society (EMS). 583-608 (2022). MSC: 76D03 76D05 35Q30 PDFBibTeX XMLCite \textit{A. Ilyin} et al., in: The physics and mathematics of Elliott Lieb. The 90th anniversary. Volume I. Berlin: European Mathematical Society (EMS). 583--608 (2022; Zbl 1495.76030) Full Text: arXiv Link
Nguyen, Thieu Huy; Pham, Truong Xuan; Vu, Thi Ngoc Ha; Le, The Sac Existence and stability of periodic and almost periodic solutions to the Boussinesq system in unbounded domains. (English) Zbl 1513.35009 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 1875-1901 (2022). MSC: 35A01 35B10 35B65 35Q30 35Q35 76D03 76D07 PDFBibTeX XMLCite \textit{T. H. Nguyen} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 1875--1901 (2022; Zbl 1513.35009) Full Text: DOI
Wang, Ziwei; Fan, Zhaolin; Liu, Fan; Jiang, Xiong; Li, Bin; Qiu, Ming Large-scale parallel simulation with implicit conservative overlapped grid technique for compressor flow. (English) Zbl 1521.76480 Comput. Fluids 238, Article ID 105375, 21 p. (2022). MSC: 76M12 65M08 65Y05 76U05 PDFBibTeX XMLCite \textit{Z. Wang} et al., Comput. Fluids 238, Article ID 105375, 21 p. (2022; Zbl 1521.76480) Full Text: DOI
Mucha, Piotr B.; Xue, Liutang Boussinesq system with measure forcing. (English) Zbl 1512.76025 Math. Ann. 382, No. 3-4, 1901-1934 (2022). Reviewer: Marcelo Fernandes de Almeida (São Cristovão) MSC: 76D03 76R50 35Q35 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{L. Xue}, Math. Ann. 382, No. 3--4, 1901--1934 (2022; Zbl 1512.76025) Full Text: DOI arXiv
Peralta, Gilbert Weak and very weak solutions to the viscous Cahn-Hilliard-Oberbeck-Boussinesq phase-field system on two-dimensional bounded domains. (English) Zbl 1490.35346 J. Evol. Equ. 22, No. 1, Paper No. 12, 71 p. (2022). MSC: 35Q35 35K58 76D03 76T06 35D30 35B65 PDFBibTeX XMLCite \textit{G. Peralta}, J. Evol. Equ. 22, No. 1, Paper No. 12, 71 p. (2022; Zbl 1490.35346) Full Text: DOI
Yang, W. M. On the boundary conditions of magnetic field in OpenFOAM and a magnetic field solver for multi-region applications. (English) Zbl 1522.76050 Comput. Phys. Commun. 263, Article ID 107883, 13 p. (2021). MSC: 76M12 76W05 76T20 78M12 78A30 PDFBibTeX XMLCite \textit{W. M. Yang}, Comput. Phys. Commun. 263, Article ID 107883, 13 p. (2021; Zbl 1522.76050) Full Text: DOI
Barletti, Luigi; Nastasi, Giovanni; Negulescu, Claudia; Romano, Vittorio Mathematical modelling of charge transport in graphene heterojunctions. (English) Zbl 1476.82009 Kinet. Relat. Models 14, No. 3, 407-427 (2021). MSC: 82C70 82D37 76R50 35Q40 76N20 PDFBibTeX XMLCite \textit{L. Barletti} et al., Kinet. Relat. Models 14, No. 3, 407--427 (2021; Zbl 1476.82009) Full Text: DOI arXiv
Gu, Yaguang; Gao, Zhen; Hu, Guanghui; Li, Peng; Wang, Lifeng High order finite difference alternative WENO scheme for multi-component flows. (English) Zbl 1490.76160 J. Sci. Comput. 89, No. 3, Paper No. 52, 24 p. (2021). MSC: 76M20 76T30 76N15 PDFBibTeX XMLCite \textit{Y. Gu} et al., J. Sci. Comput. 89, No. 3, Paper No. 52, 24 p. (2021; Zbl 1490.76160) Full Text: DOI
Daropoulos, Viktor; Augustin, Matthias; Weickert, Joachim Sparse inpainting with smoothed particle hydrodynamics. (English) Zbl 1474.94013 SIAM J. Imaging Sci. 14, No. 4, 1669-1705 (2021). MSC: 94A08 65D18 68U10 76M28 PDFBibTeX XMLCite \textit{V. Daropoulos} et al., SIAM J. Imaging Sci. 14, No. 4, 1669--1705 (2021; Zbl 1474.94013) Full Text: DOI arXiv
Pellerin, Nicolas; Leclaire, Sébastien; Reggio, Marcelo An interpolation-based lattice Boltzmann method for non-conforming orthogonal meshes. (English) Zbl 1524.76295 Comput. Math. Appl. 100, 152-166 (2021). MSC: 76M28 76M20 76D05 76B10 76P05 PDFBibTeX XMLCite \textit{N. Pellerin} et al., Comput. Math. Appl. 100, 152--166 (2021; Zbl 1524.76295) Full Text: DOI
Sun, HongGuang; Xu, Yi; Lin, Ji; Zhang, Yuhui A space-time backward substitution method for three-dimensional advection-diffusion equations. (English) Zbl 1524.76271 Comput. Math. Appl. 97, 77-85 (2021). MSC: 76M20 41A05 65N35 41A30 PDFBibTeX XMLCite \textit{H. Sun} et al., Comput. Math. Appl. 97, 77--85 (2021; Zbl 1524.76271) Full Text: DOI
Tsvetkova, V. O.; Abalakin, I. V.; Bobkov, V. G.; Zhdanova, N. S.; Kozubskaya, T. K.; Kudryavtseva, L. N. Simulation of flow near rotating propeller on adaptive unstructured meshes using immersed boundary method. (Russian. English summary) Zbl 1470.76064 Mat. Model. 33, No. 8, 59-82 (2021). MSC: 76M12 76M20 76U05 76N06 PDFBibTeX XMLCite \textit{V. O. Tsvetkova} et al., Mat. Model. 33, No. 8, 59--82 (2021; Zbl 1470.76064) Full Text: DOI MNR
Ioan, Daniel; Ciuprina, Gabriela; Schilders, Wilhelmus H. A. Complexity reduction of electromagnetic systems. (English) Zbl 1471.35282 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 145-199 (2021). MSC: 35Q93 35-02 93A15 93C05 49M41 49M37 80A25 76V05 35B30 37M99 41A05 65K10 65F20 PDFBibTeX XMLCite \textit{D. Ioan} et al., in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 145--199 (2021; Zbl 1471.35282) Full Text: DOI
Eason, John P.; Biegler, Lorenz T. Model reduction in chemical process optimization. (English) Zbl 1471.35281 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1-31 (2021). MSC: 35Q93 35-02 93A15 93C05 49M41 49M37 80A25 76V05 35B30 37M99 41A05 65K10 65M99 65F20 PDFBibTeX XMLCite \textit{J. P. Eason} and \textit{L. T. Biegler}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1--31 (2021; Zbl 1471.35281) Full Text: DOI
Ghosh, Santanu; Bharadwaj S., Anand Development and application of immersed boundary methods for compressible flows. (English) Zbl 1512.76084 Roy, Somnath (ed.) et al., Immersed boundary method. Development and applications. Singapore: Springer. Comput. Methods Eng. Sci., 227-249 (2020). MSC: 76M99 76M12 76N15 76H05 76J20 76F50 76F40 80A19 PDFBibTeX XMLCite \textit{S. Ghosh} and \textit{A. Bharadwaj S.}, in: Immersed boundary method. Development and applications. Singapore: Springer. 227--249 (2020; Zbl 1512.76084) Full Text: DOI
Becerra-Sagredo, Julián T.; Jeltsch, Rolf; Málaga, Carlos The collocation basis of compact finite differences for moment-preserving interpolations: review, extension and applications. (English) Zbl 1482.65018 Commun. Comput. Phys. 28, No. 4, 1245-1273 (2020). MSC: 65D05 65D07 41A05 76M23 PDFBibTeX XMLCite \textit{J. T. Becerra-Sagredo} et al., Commun. Comput. Phys. 28, No. 4, 1245--1273 (2020; Zbl 1482.65018) Full Text: DOI
Yao, C. H.; Li, F. R.; Zhao, Y. M. Superconvergence analysis of two-grid FEM for Maxwell’s equations with a thermal effect. (English) Zbl 1446.65183 Comput. Math. Appl. 79, No. 12, 3378-3393 (2020). MSC: 65N30 65M06 78M10 78M20 65N55 65D05 65M12 78A25 76V05 76W05 PDFBibTeX XMLCite \textit{C. H. Yao} et al., Comput. Math. Appl. 79, No. 12, 3378--3393 (2020; Zbl 1446.65183) Full Text: DOI
Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. (English) Zbl 1447.65105 SIAM J. Sci. Comput. 42, No. 2, B520-B547 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M75 65M20 45K05 65L06 65D05 76X05 35Q83 35Q60 35R09 PDFBibTeX XMLCite \textit{P. Chartier} et al., SIAM J. Sci. Comput. 42, No. 2, B520--B547 (2020; Zbl 1447.65105) Full Text: DOI arXiv
Moguen, Yann; Bruel, Pascal; Dick, Erik A combined momentum-interpolation and advection upstream splitting pressure-correction algorithm for simulation of convective and acoustic transport at all levels of Mach number. (English) Zbl 1451.76079 J. Comput. Phys. 384, 16-41 (2019). MSC: 76M12 65M08 76N15 76Q05 PDFBibTeX XMLCite \textit{Y. Moguen} et al., J. Comput. Phys. 384, 16--41 (2019; Zbl 1451.76079) Full Text: DOI HAL
Ben-Artzi, Matania; Croisille, Jean-Pierre; Fishelov, Dalia A Cartesian compact scheme for the Navier-Stokes equations in streamfunction formulation in irregular domains. (English) Zbl 1434.65107 J. Sci. Comput. 81, No. 3, 1386-1408 (2019). MSC: 65M06 76M20 76D05 31A30 65D05 41A05 PDFBibTeX XMLCite \textit{M. Ben-Artzi} et al., J. Sci. Comput. 81, No. 3, 1386--1408 (2019; Zbl 1434.65107) Full Text: DOI
Zhao, Guo-Yan; Sun, Ming-Bo; Mei, Yong; Li, Liang; Wang, Hong-Bo; Li, Guang-Xin; Liu, Yuan; Sun, Yong-Chao; Liang, Chang-Hai An efficient adaptive central-upwind WENO-CU6 numerical scheme with a new sensor. (English) Zbl 1434.65146 J. Sci. Comput. 81, No. 2, 649-670 (2019). Reviewer: Hendrik Ranocha (Braunschweig) MSC: 65M06 65M20 65L06 65D05 35Q31 76N15 76L05 76M20 PDFBibTeX XMLCite \textit{G.-Y. Zhao} et al., J. Sci. Comput. 81, No. 2, 649--670 (2019; Zbl 1434.65146) Full Text: DOI
Magagula, Vusi Mpendulo On the multidomain bivariate spectral local linearisation method for solving systems of nonsimilar boundary layer partial differential equations. (English) Zbl 1486.76023 Int. J. Math. Math. Sci. 2019, Article ID 6423294, 18 p. (2019). MSC: 76D10 76N20 76R10 76M45 PDFBibTeX XMLCite \textit{V. M. Magagula}, Int. J. Math. Math. Sci. 2019, Article ID 6423294, 18 p. (2019; Zbl 1486.76023) Full Text: DOI
Loeffler, Carlos Friedrich; Chacaltana, Julio Tomás Aquije; Frasson, Antonio Manoel Ferreira; Mansur, Webe João Simulation of the journal bearing hydrodynamic using two boundary element radial basis interpolation models. (English) Zbl 1464.76098 Eng. Anal. Bound. Elem. 105, 188-193 (2019). MSC: 76M15 65N38 76D08 PDFBibTeX XMLCite \textit{C. F. Loeffler} et al., Eng. Anal. Bound. Elem. 105, 188--193 (2019; Zbl 1464.76098) Full Text: DOI
Jin, Yao; Liao, Fei; Cai, Jinsheng Optimized low-dissipation and low-dispersion schemes for compressible flows. (English) Zbl 1415.76486 J. Comput. Phys. 371, 820-849 (2018). MSC: 76M20 76N15 76L05 PDFBibTeX XMLCite \textit{Y. Jin} et al., J. Comput. Phys. 371, 820--849 (2018; Zbl 1415.76486) Full Text: DOI
Jiang, Zhen-Hua; Yan, Chao; Yu, Jian Efficient methods with higher order interpolation and MOOD strategy for compressible turbulence simulations. (English) Zbl 1415.76469 J. Comput. Phys. 371, 528-550 (2018). MSC: 76M12 76L05 76F65 76N15 PDFBibTeX XMLCite \textit{Z.-H. Jiang} et al., J. Comput. Phys. 371, 528--550 (2018; Zbl 1415.76469) Full Text: DOI
Chen, Luoping; Chen, Yanping; Liu, Xiong A two-level sparse grid collocation method for semilinear stochastic elliptic equation. (English) Zbl 1390.78031 Comput. Methods Appl. Math. 18, No. 2, 165-179 (2018). MSC: 78M22 76M10 78A48 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Methods Appl. Math. 18, No. 2, 165--179 (2018; Zbl 1390.78031) Full Text: DOI
Ferreira, Lucas C. F.; Pérez-López, Jhean E. Besov-weak-Herz spaces and global solutions for Navier-Stokes equations. (English) Zbl 1402.35205 Pac. J. Math. 296, No. 1, 57-77 (2018). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 35K08 76D03 76D05 35C06 35C15 46B70 35B40 PDFBibTeX XMLCite \textit{L. C. F. Ferreira} and \textit{J. E. Pérez-López}, Pac. J. Math. 296, No. 1, 57--77 (2018; Zbl 1402.35205) Full Text: DOI arXiv
Latu, Guillaume; Mehrenberger, Michel; Güçlü, Yaman; Ottaviani, Maurizio; Sonnendrücker, Eric Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations. (English) Zbl 1412.65081 J. Sci. Comput. 74, No. 3, 1601-1650 (2018). Reviewer: Stephen Wollman (New York) MSC: 65M06 35Q83 82C40 82D10 82D75 65D05 76X05 76M20 PDFBibTeX XMLCite \textit{G. Latu} et al., J. Sci. Comput. 74, No. 3, 1601--1650 (2018; Zbl 1412.65081) Full Text: DOI
Tan, Zhong; Tong, Leilei Asymptotic behavior of the compressible non-isentropic Navier-Stokes-Maxwell system in \(\mathbb{R}^3\). (English) Zbl 1375.35402 Kinet. Relat. Models 11, No. 1, 191-213 (2018). MSC: 35Q35 35Q30 35Q61 82D37 76N10 35B40 76X05 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{L. Tong}, Kinet. Relat. Models 11, No. 1, 191--213 (2018; Zbl 1375.35402) Full Text: DOI
Al-Marouf, M.; Samtaney, R. A versatile embedded boundary adaptive mesh method for compressible flow in complex geometry. (English) Zbl 1415.76495 J. Comput. Phys. 337, 339-378 (2017). MSC: 76M25 76N15 76J20 65D05 65M06 PDFBibTeX XMLCite \textit{M. Al-Marouf} and \textit{R. Samtaney}, J. Comput. Phys. 337, 339--378 (2017; Zbl 1415.76495) Full Text: DOI Link
Lu, Yi; Marheineke, N.; Mohring, Jan Interpolation strategy for BT-based parametric MOR of gas pipeline-networks. (English) Zbl 1465.76078 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer. MS&A, Model. Simul. Appl. 17, 387-401 (2017). MSC: 76M99 76N15 PDFBibTeX XMLCite \textit{Y. Lu} et al., MS\&A, Model. Simul. Appl. 17, 387--401 (2017; Zbl 1465.76078) Full Text: DOI
Wu, Yunshun; Tan, Zhong; Wang, Yong Long-time behavior of solutions to the non-isentropic Euler-Poisson system in \(\mathbb{R}^3\). (English) Zbl 1408.35159 Commun. Math. Sci. 15, No. 7, 1947-1965 (2017). MSC: 35Q35 35M10 35Q60 76N10 35B40 35A01 PDFBibTeX XMLCite \textit{Y. Wu} et al., Commun. Math. Sci. 15, No. 7, 1947--1965 (2017; Zbl 1408.35159) Full Text: DOI
Conforti, Giovanni; Pavon, Michele Extremal curves in Wasserstein space. (English) Zbl 1425.58010 Nielsen, Frank (ed.) et al., Geometric science of information. Third international conference, GSI 2017, Paris, France, November 7–9, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10589, 91-99 (2017). MSC: 58E30 49Q20 76Y05 94A08 PDFBibTeX XMLCite \textit{G. Conforti} and \textit{M. Pavon}, Lect. Notes Comput. Sci. 10589, 91--99 (2017; Zbl 1425.58010) Full Text: DOI
Guo, Jingyang; Jung, Jae-Hun Radial basis function ENO and WENO finite difference methods based on the optimization of shape parameters. (English) Zbl 1361.65055 J. Sci. Comput. 70, No. 2, 551-575 (2017). MSC: 65M06 35L03 35L65 35Q53 76N15 76M20 PDFBibTeX XMLCite \textit{J. Guo} and \textit{J.-H. Jung}, J. Sci. Comput. 70, No. 2, 551--575 (2017; Zbl 1361.65055) Full Text: DOI arXiv
Amsallem, David; Tezaur, Radek; Farhat, Charbel Real-time solution of linear computational problems using databases of parametric reduced-order models with arbitrary underlying meshes. (English) Zbl 1373.68446 J. Comput. Phys. 326, 373-397 (2016). MSC: 68W15 76Q05 93C05 93C15 PDFBibTeX XMLCite \textit{D. Amsallem} et al., J. Comput. Phys. 326, 373--397 (2016; Zbl 1373.68446) Full Text: DOI
Shtanov, Yu. N.; Koshcheev, V. P.; Morgun, D. A.; Panina, T. A. Modeling of atomic diffusion coefficient of channeled particles. (Russian. English summary) Zbl 1363.81016 Mat. Model. 28, No. 9, 24-30 (2016). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 81V45 82D10 81V10 81V25 81V35 81V55 76R50 65Y10 65T40 65T50 65M50 PDFBibTeX XMLCite \textit{Yu. N. Shtanov} et al., Mat. Model. 28, No. 9, 24--30 (2016; Zbl 1363.81016) Full Text: MNR
Rozar, Fabien; Steiner, Christophe; Latu, Guillaume; Mehrenberger, Michel; Grandgirard, Virginie; Bigot, Julien; Cartier-Michaud, Thomas; Roman, Jean Optimization of the gyroaverage operator based on Hermite interpolation. (English) Zbl 1459.82355 ESAIM, Proc. Surv. 53, 191-210 (2016). MSC: 82D75 82D10 65D05 76X05 82-04 PDFBibTeX XMLCite \textit{F. Rozar} et al., ESAIM, Proc. Surv. 53, 191--210 (2016; Zbl 1459.82355) Full Text: DOI arXiv
Tan, Zhong; Tong, Leilei Decay estimates of solutions to the compressible Navier-Stokes-Maxwell system in \(\mathbb R^{3*}\). (English) Zbl 1346.35020 Commun. Math. Sci. 14, No. 5, 1189-1212 (2016). MSC: 35B40 35Q30 35Q35 35Q61 76N10 82D37 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{L. Tong}, Commun. Math. Sci. 14, No. 5, 1189--1212 (2016; Zbl 1346.35020) Full Text: DOI
Bartels, Sören Numerical approximation of partial differential equations. (English) Zbl 1353.65089 Texts in Applied Mathematics 64. Cham: Springer (ISBN 978-3-319-32353-4/hbk; 978-3-319-32354-1/ebook). xv, 535 p. (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65Nxx 65M06 65M60 65N06 65N22 65N30 65N50 65N55 65-02 65N08 65M08 35J25 35K05 65F08 74S05 74B05 74K20 78A25 78M10 76D05 76M10 35L05 PDFBibTeX XMLCite \textit{S. Bartels}, Numerical approximation of partial differential equations. Cham: Springer (2016; Zbl 1353.65089) Full Text: DOI
Tan, Zhong; Wang, Yong; Xu, Fanhui Large-time behavior of the full compressible Euler-Poisson system without the temperature damping. (English) Zbl 1336.35068 Discrete Contin. Dyn. Syst. 36, No. 3, 1583-1601 (2016). MSC: 35B40 35Q60 76N10 35Q35 PDFBibTeX XMLCite \textit{Z. Tan} et al., Discrete Contin. Dyn. Syst. 36, No. 3, 1583--1601 (2016; Zbl 1336.35068) Full Text: DOI
Chacón Rebollo, Tomás; Gómez Mármol, Macarena; Rubino, Samuele Finite element approximation of an unsteady projection-based VMS turbulence model with wall laws. (English) Zbl 1427.76123 Knobloch, Petr (ed.), Boundary and interior layers, computational and asymptotic methods – BAIL 2014. Proceedings of the conference, Prague, Czech Republic, September 15–19, 2014. Cham: Springer. Lect. Notes Comput. Sci. Eng. 108, 47-73 (2015). MSC: 76M10 76F65 65M60 76D03 76D05 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} et al., Lect. Notes Comput. Sci. Eng. 108, 47--73 (2015; Zbl 1427.76123) Full Text: DOI
Hamidi, A.; Khelladi, S.; Illoul, L.; Shirinbayan, M.; Bakir, F.; Tcharkhtchi, A. Modelling surface tension with smoothed particle hydrodynamics in reactive rotational moulding. (English) Zbl 1390.76716 Comput. Fluids 118, 191-203 (2015). MSC: 76M28 76U05 PDFBibTeX XMLCite \textit{A. Hamidi} et al., Comput. Fluids 118, 191--203 (2015; Zbl 1390.76716) Full Text: DOI Link
Pini, M.; Spinelli, A.; Persico, G.; Rebay, S. Consistent look-up table interpolation method for real-gas flow simulations. (English) Zbl 1390.76803 Comput. Fluids 107, 178-188 (2015). MSC: 76N15 76M25 PDFBibTeX XMLCite \textit{M. Pini} et al., Comput. Fluids 107, 178--188 (2015; Zbl 1390.76803) Full Text: DOI
Schwenck, Nicolas; Flemisch, Bernd; Helmig, Rainer; Wohlmuth, Barbara I. Dimensionally reduced flow models in fractured porous media: crossings and boundaries. (English) Zbl 1391.76747 Comput. Geosci. 19, No. 6, 1219-1230 (2015). MSC: 76S05 86-08 41A05 PDFBibTeX XMLCite \textit{N. Schwenck} et al., Comput. Geosci. 19, No. 6, 1219--1230 (2015; Zbl 1391.76747) Full Text: DOI
Fan, Yingzhe; Lei, Yuanjie Global solutions and time decay of the non-cutoff Vlasov-Maxwell-Boltzmann system in the whole space. (English) Zbl 1337.35149 J. Stat. Phys. 161, No. 5, 1059-1097 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q83 35B40 35Q20 35Q61 35A09 76W05 82C40 PDFBibTeX XMLCite \textit{Y. Fan} and \textit{Y. Lei}, J. Stat. Phys. 161, No. 5, 1059--1097 (2015; Zbl 1337.35149) Full Text: DOI
Wu, Yunshun; Tan, Zhong Symptotic behavior of the Stokes approximation equations for compressible flows in \(\mathbb{R}^3\). (English) Zbl 1340.35272 Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 3, 746-760 (2015). MSC: 35Q35 35B40 76D03 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{Z. Tan}, Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 3, 746--760 (2015; Zbl 1340.35272) Full Text: DOI
Bogovalov, S. V.; Tronin, I. V. Rhie-Chow interpolation in strong centrifugal fields. (English. Russian original) Zbl 1336.76031 Comput. Math. Math. Phys. 55, No. 10, 1727-1732 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 10, 1756-1761 (2015). MSC: 76N15 76M20 PDFBibTeX XMLCite \textit{S. V. Bogovalov} and \textit{I. V. Tronin}, Comput. Math. Math. Phys. 55, No. 10, 1727--1732 (2015; Zbl 1336.76031); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 10, 1756--1761 (2015) Full Text: DOI
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony A nonintrusive reduced basis method applied to aeroacoustic simulations. (English) Zbl 1338.76049 Adv. Comput. Math. 41, No. 5, 961-986 (2015). MSC: 76M10 65N30 65J05 76Q05 PDFBibTeX XMLCite \textit{F. Casenave} et al., Adv. Comput. Math. 41, No. 5, 961--986 (2015; Zbl 1338.76049) Full Text: DOI arXiv
Azzam, Jonas; Bedrossian, Jacob Bounded mean oscillation and the uniqueness of active scalar equations. (English) Zbl 1315.35009 Trans. Am. Math. Soc. 367, No. 5, 3095-3118 (2015). MSC: 35A02 35Q92 35Q35 76B03 PDFBibTeX XMLCite \textit{J. Azzam} and \textit{J. Bedrossian}, Trans. Am. Math. Soc. 367, No. 5, 3095--3118 (2015; Zbl 1315.35009) Full Text: DOI arXiv
Zhang, Xu; Tan, Zhong The global wellposedness of the 3D heat-conducting viscous incompressible fluids with bounded density. (English) Zbl 1308.35234 Nonlinear Anal., Real World Appl. 22, 129-147 (2015). MSC: 35Q35 76N15 76D05 80A20 35Q79 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Z. Tan}, Nonlinear Anal., Real World Appl. 22, 129--147 (2015; Zbl 1308.35234) Full Text: DOI
Rinaldi, Enrico; Pecnik, Rene; Colonna, Piero Exact Jacobians for implicit Navier-Stokes simulations of equilibrium real gas flows. (English) Zbl 1349.76381 J. Comput. Phys. 270, 459-477 (2014). MSC: 76M12 65M08 76N15 PDFBibTeX XMLCite \textit{E. Rinaldi} et al., J. Comput. Phys. 270, 459--477 (2014; Zbl 1349.76381) Full Text: DOI
Zhang, Xu; Tan, Zhong Decay estimates of the non-isentropic compressible fluid models of Korteweg type in \(\mathbb R^3\). (English) Zbl 1311.35191 Commun. Math. Sci. 12, No. 8, 1437-1456 (2014). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Z. Tan}, Commun. Math. Sci. 12, No. 8, 1437--1456 (2014; Zbl 1311.35191) Full Text: DOI
Buscaglia, Gustavo; Ruas, Vitoriano Finite element methods for the Stokes system based on a Zienkiewicz type \(N\)-simplex. (English) Zbl 1296.65155 Comput. Methods Appl. Mech. Eng. 272, 83-99 (2014). MSC: 65N30 76M10 65N12 76D07 35Q30 76N10 PDFBibTeX XMLCite \textit{G. Buscaglia} and \textit{V. Ruas}, Comput. Methods Appl. Mech. Eng. 272, 83--99 (2014; Zbl 1296.65155) Full Text: DOI
Tan, Zhong; Wang, Yanjin; Wang, Yong Decay estimates of solutions to the compressible Euler-Maxwell system in \(\mathbb{R}^3\). (English) Zbl 1296.83018 J. Differ. Equations 257, No. 8, 2846-2873 (2014). MSC: 83C22 82D37 76N10 35Q35 35B40 83C15 83C05 85A30 PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Differ. Equations 257, No. 8, 2846--2873 (2014; Zbl 1296.83018) Full Text: DOI arXiv
Ram, Mangey (ed.); Frenkel, Ilia B. (ed.); Gupta, Arpan (ed.) Preface: Applied mathematical techniques in engineering applications and related topics. I. (English) Zbl 1298.00342 Math. Eng. Sci. Aerosp. MESA 5, No. 2, 135-136 (2014). MSC: 00B25 34A08 34K37 35G31 37N25 41A05 60G25 62N05 65D05 65M70 65Z05 68M15 68Q32 68T05 68T27 68U10 74F05 76D05 76E25 76F10 76Sxx 76Wxx 82C32 90B25 92B05 92B20 92C37 94A08 PDFBibTeX XMLCite \textit{M. Ram} (ed.) et al., Math. Eng. Sci. Aerosp. MESA 5, No. 2, 135--136 (2014; Zbl 1298.00342) Full Text: Link
Tan, Zhong; Zhang, Xu; Wang, Huaqiao Asymptotic behavior of Navier-Stokes-Korteweg with friction in \(\mathbb R^3\). (English) Zbl 1284.35323 Discrete Contin. Dyn. Syst. 34, No. 5, 2243-2259 (2014). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 76D05 76N10 PDFBibTeX XMLCite \textit{Z. Tan} et al., Discrete Contin. Dyn. Syst. 34, No. 5, 2243--2259 (2014; Zbl 1284.35323) Full Text: DOI
Corrêa, L.; Lima, G. A. B.; Candezano, M. A. C.; Braun, M. P. S.; Oishi, C. M.; Navarro, H. A.; Ferreira, V. G. A \(C^2\)-continuous high-resolution upwind convection scheme. (English) Zbl 1455.76124 Int. J. Numer. Methods Fluids 72, No. 12, 1263-1285 (2013). MSC: 76M20 65M06 76B10 PDFBibTeX XMLCite \textit{L. Corrêa} et al., Int. J. Numer. Methods Fluids 72, No. 12, 1263--1285 (2013; Zbl 1455.76124) Full Text: DOI
Moguen, Yann; Dick, Erik; Vierendeels, Jan; Bruel, Pascal Pressure-velocity coupling for unsteady low Mach number flow simulations: An improvement of the AUSM\(^{+}\)-up scheme. (English) Zbl 1426.76405 J. Comput. Appl. Math. 246, 136-143 (2013). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{Y. Moguen} et al., J. Comput. Appl. Math. 246, 136--143 (2013; Zbl 1426.76405) Full Text: DOI
Wang, Yanjin Decay of the two-species Vlasov-Poisson-Boltzmann system. (English) Zbl 1335.76046 J. Differ. Equations 254, No. 5, 2304-2340 (2013). MSC: 76P05 82C40 45K05 PDFBibTeX XMLCite \textit{Y. Wang}, J. Differ. Equations 254, No. 5, 2304--2340 (2013; Zbl 1335.76046) Full Text: DOI arXiv
Tan, Zhong; Wang, Yong Global solution and large-time behavior of the \(3D\) compressible Euler equations with damping. (English) Zbl 1259.35162 J. Differ. Equations 254, No. 4, 1686-1704 (2013). MSC: 35Q31 76N10 35Q35 35B40 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{Y. Wang}, J. Differ. Equations 254, No. 4, 1686--1704 (2013; Zbl 1259.35162) Full Text: DOI
Braack, Malte; Lube, Gert; Röhe, Lars Divergence preserving interpolation on anisotropic quadrilateral meshes. (English) Zbl 1284.41001 Comput. Methods Appl. Math. 12, No. 2, 123-138 (2012). MSC: 41A05 65N15 65M60 76D05 76F40 PDFBibTeX XMLCite \textit{M. Braack} et al., Comput. Methods Appl. Math. 12, No. 2, 123--138 (2012; Zbl 1284.41001) Full Text: DOI
Guo, Yan; Wang, Yanjin Decay of dissipative equations and negative Sobolev spaces. (English) Zbl 1258.35157 Commun. Partial Differ. Equations 37, No. 10-12, 2165-2208 (2012). MSC: 35Q30 76N15 76P05 82C40 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{Y. Wang}, Commun. Partial Differ. Equations 37, No. 10--12, 2165--2208 (2012; Zbl 1258.35157) Full Text: DOI arXiv
Kovalevsky, Louis; Ladevèze, Pierre; Riou, Hervé The Fourier version of the variational theory of complex rays for medium-frequency acoustics. (English) Zbl 1253.76118 Comput. Methods Appl. Mech. Eng. 225-228, 142-153 (2012). MSC: 76Q05 76M25 65T40 PDFBibTeX XMLCite \textit{L. Kovalevsky} et al., Comput. Methods Appl. Mech. Eng. 225--228, 142--153 (2012; Zbl 1253.76118) Full Text: DOI HAL
Klausen, Runhild A.; Rasmussen, Atgeirr F.; Stephansen, Annette F. Velocity interpolation and streamline tracing on irregular geometries. (English) Zbl 1254.65035 Comput. Geosci. 16, No. 2, 261-276 (2012). MSC: 65D18 76N15 65N30 76M10 76M20 PDFBibTeX XMLCite \textit{R. A. Klausen} et al., Comput. Geosci. 16, No. 2, 261--276 (2012; Zbl 1254.65035) Full Text: DOI
Kazantsev, Eugene Boundary conditions control for a shallow-water model. (English) Zbl 1397.76026 Int. J. Numer. Methods Fluids 68, No. 5, 625-641 (2012). MSC: 76B75 76M20 76B10 86A05 PDFBibTeX XMLCite \textit{E. Kazantsev}, Int. J. Numer. Methods Fluids 68, No. 5, 625--641 (2012; Zbl 1397.76026) Full Text: DOI arXiv
Wang, Yanjin Decay of the Navier-Stokes-Poisson equations. (English) Zbl 1239.35117 J. Differ. Equations 253, No. 1, 273-297 (2012). MSC: 35Q30 76N15 35Q31 46E35 PDFBibTeX XMLCite \textit{Y. Wang}, J. Differ. Equations 253, No. 1, 273--297 (2012; Zbl 1239.35117) Full Text: DOI arXiv
Chaiyo, Khomgris; Rattanadecho, Phadungsak Numerical analysis of microwave melting of ice-saturated porous medium filled in a rectangular waveguide with resonator using a combined transfinite interpolation and PDE methods. (English) Zbl 1217.80022 Int. J. Heat Mass Transfer 54, No. 9-10, 2043-2055 (2011). MSC: 80A20 78A25 78A50 76R10 76S05 80-05 80A22 80M20 78M20 65N50 PDFBibTeX XMLCite \textit{K. Chaiyo} and \textit{P. Rattanadecho}, Int. J. Heat Mass Transfer 54, No. 9--10, 2043--2055 (2011; Zbl 1217.80022) Full Text: DOI
Zhang, Shuhai; Jiang, Shufen; Shu, Chi-Wang Improvement of convergence to steady state solutions of Euler equations with the WENO Schemes. (English) Zbl 1387.65092 J. Sci. Comput. 47, No. 2, 216-238 (2011). MSC: 65M06 35Q31 65M12 76M20 76N15 PDFBibTeX XMLCite \textit{S. Zhang} et al., J. Sci. Comput. 47, No. 2, 216--238 (2011; Zbl 1387.65092) Full Text: DOI
van Dam, A.; Zegeling, P. A. Balanced monitoring of flow phenomena in moving mesh methods. (English) Zbl 1364.76123 Commun. Comput. Phys. 7, No. 1, 138-170 (2010). MSC: 76M12 65M08 65M50 76L05 76N15 PDFBibTeX XMLCite \textit{A. van Dam} and \textit{P. A. Zegeling}, Commun. Comput. Phys. 7, No. 1, 138--170 (2010; Zbl 1364.76123) Full Text: DOI
Reddy, J. N.; Gartling, David K. The finite element method in heat transfer and fluid dynamics. 3rd ed. (English) Zbl 1257.80001 CRC Series in Computational Mechanics and Applied Analysis. Boca Raton, FL: CRC Press (ISBN 978-1-4200-8598-3/hbk). xiii, 500 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 80-01 76-01 80M10 76M10 80M20 76M20 65Z05 65M60 65M06 65N30 65Y05 80A20 80A32 80A22 76D05 76Rxx 76S05 76A10 76F65 76A05 78A25 78M10 74A05 74S05 97M50 PDFBibTeX XMLCite \textit{J. N. Reddy} and \textit{D. K. Gartling}, The finite element method in heat transfer and fluid dynamics. 3rd ed. Boca Raton, FL: CRC Press (2010; Zbl 1257.80001)
Alauzet, F.; Mehrenberger, M. \(\mathbf P^{1}\)-conservative solution interpolation on unstructured triangular meshes. (English) Zbl 1202.76096 Int. J. Numer. Methods Eng. 84, No. 13, 1552-1588 (2010). MSC: 76M12 76N15 76L05 65M08 65M50 PDFBibTeX XMLCite \textit{F. Alauzet} and \textit{M. Mehrenberger}, Int. J. Numer. Methods Eng. 84, No. 13, 1552--1588 (2010; Zbl 1202.76096) Full Text: DOI
Li, B.; Habbal, F.; Ortiz, M. Optimal transportation meshfree approximation schemes for fluid and plastic flows. (English) Zbl 1202.74200 Int. J. Numer. Methods Eng. 83, No. 12, 1541-1579 (2010). MSC: 74S30 76M25 74E99 74F10 76N15 PDFBibTeX XMLCite \textit{B. Li} et al., Int. J. Numer. Methods Eng. 83, No. 12, 1541--1579 (2010; Zbl 1202.74200) Full Text: DOI
Kuzmin, Dmitri; Möller, Matthias; Shadid, John N.; Shashkov, Mikhail Failsafe flux limiting and constrained data projections for equations of gas dynamics. (English) Zbl 1282.76161 J. Comput. Phys. 229, No. 23, 8766-8779 (2010). MSC: 76N15 76M10 PDFBibTeX XMLCite \textit{D. Kuzmin} et al., J. Comput. Phys. 229, No. 23, 8766--8779 (2010; Zbl 1282.76161) Full Text: DOI
Abd-el-Malek, Mina B.; Helal, Medhat M. Application of a fractional step method for the numerical solution of the shallow water waves in a rotating rectangular basin. (English) Zbl 1337.76003 Int. J. Comput. Math. 87, No. 10, 2268-2280 (2010). MSC: 76B07 76M25 76U05 65M06 PDFBibTeX XMLCite \textit{M. B. Abd-el-Malek} and \textit{M. M. Helal}, Int. J. Comput. Math. 87, No. 10, 2268--2280 (2010; Zbl 1337.76003) Full Text: DOI EuDML
Nakajima, S.; Kawahara, M. New finite element formulation based on bubble function interpolation for the transient compressible Euler equations. (English) Zbl 1425.76146 Int. J. Numer. Methods Biomed. Eng. 26, No. 8, 1030-1049 (2010). MSC: 76M10 35Q31 76N15 PDFBibTeX XMLCite \textit{S. Nakajima} and \textit{M. Kawahara}, Int. J. Numer. Methods Biomed. Eng. 26, No. 8, 1030--1049 (2010; Zbl 1425.76146) Full Text: DOI
Kupiainen, Marco; Sjögreen, Björn A Cartesian embedded boundary method for the compressible Navier-Stokes equations. (English) Zbl 1203.76099 J. Sci. Comput. 41, No. 1, 94-117 (2009). MSC: 76M20 65M06 41A05 65M12 65M50 76D05 PDFBibTeX XMLCite \textit{M. Kupiainen} and \textit{B. Sjögreen}, J. Sci. Comput. 41, No. 1, 94--117 (2009; Zbl 1203.76099) Full Text: DOI Link
Fuselier, Edward J.; Wright, Grady B. Stability and error estimates for vector field interpolation and decomposition on the sphere with RBFs. (English) Zbl 1203.41002 SIAM J. Numer. Anal. 47, No. 5, 3213-3239 (2009). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 41A30 76M25 86-08 86A10 PDFBibTeX XMLCite \textit{E. J. Fuselier} and \textit{G. B. Wright}, SIAM J. Numer. Anal. 47, No. 5, 3213--3239 (2009; Zbl 1203.41002) Full Text: DOI Link
Fuselier, Edward J.; Narcowich, Francis J.; Ward, Joseph D.; Wright, Grady B. Error and stability estimates for surface-divergence free RBF interpolants on the sphere. (English) Zbl 1223.76052 Math. Comput. 78, No. 268, 2157-2186 (2009). MSC: 76M25 65D05 41A05 86A10 PDFBibTeX XMLCite \textit{E. J. Fuselier} et al., Math. Comput. 78, No. 268, 2157--2186 (2009; Zbl 1223.76052) Full Text: DOI
Fan, Jishan; Ozawa, Tohru Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model. (English) Zbl 1189.35250 Kinet. Relat. Models 2, No. 2, 293-305 (2009). MSC: 35Q35 76D03 76W05 35B65 PDFBibTeX XMLCite \textit{J. Fan} and \textit{T. Ozawa}, Kinet. Relat. Models 2, No. 2, 293--305 (2009; Zbl 1189.35250) Full Text: DOI
Fan, Jishan; Ozawa, Tohru Logarithmically improved regularity criteria for Navier-Stokes and related equations. (English) Zbl 1180.35407 Math. Methods Appl. Sci. 32, No. 17, 2309-2318 (2009). MSC: 35Q30 35Q60 35Q79 76D05 35B65 80A20 46E30 PDFBibTeX XMLCite \textit{J. Fan} and \textit{T. Ozawa}, Math. Methods Appl. Sci. 32, No. 17, 2309--2318 (2009; Zbl 1180.35407) Full Text: DOI
Ma, Lijun; Qin, Xulong; Yao, Zheng-An Regularity of viscous compressible real heat conductive gas with density-dependent viscosity in one dimension. (English) Zbl 1165.76371 Appl. Anal. 88, No. 3, 393-417 (2009). MSC: 76N10 76N15 35Q35 PDFBibTeX XMLCite \textit{L. Ma} et al., Appl. Anal. 88, No. 3, 393--417 (2009; Zbl 1165.76371) Full Text: DOI
Wang, Keyan On global regularity of incompressible Navier-Stokes equations in \(\mathbb R^3\). (English) Zbl 1161.76013 Commun. Pure Appl. Anal. 8, No. 3, 1067-1072 (2009). MSC: 76D03 35Q30 PDFBibTeX XMLCite \textit{K. Wang}, Commun. Pure Appl. Anal. 8, No. 3, 1067--1072 (2009; Zbl 1161.76013) Full Text: DOI
Li, T. S.; Wong, S. M. Solving the sudden-expansion problem with radial basis function. (English) Zbl 1203.76018 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 5. Proceedings of the 5th international conference, Morehouse College, Atlanta, GA, USA, May 30–June 2, 2007. Atlanta, GA: Dynamic Publishers (ISBN 1-890888-01-6). 268-273 (2008). MSC: 76B10 41A05 65N35 PDFBibTeX XMLCite \textit{T. S. Li} and \textit{S. M. Wong}, in: Dynamic systems and applications. Vol. 5. Proceedings of the 5th international conference, Morehouse College, Atlanta, GA, USA, May 30--June 2, 2007. Atlanta, GA: Dynamic Publishers. 268--273 (2008; Zbl 1203.76018)
Farwig, Reinhard; Krbec, Miroslav; Nečasová, Šárka A weighted \(L^q\)-approach to Stokes flow around a rotating body. (English) Zbl 1248.35158 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 54, No. 1, 61-84 (2008). MSC: 35Q35 35B45 46N20 76D03 76D07 PDFBibTeX XMLCite \textit{R. Farwig} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 54, No. 1, 61--84 (2008; Zbl 1248.35158) Full Text: DOI
Steijl, R.; Barakos, G. Sliding mesh algorithm for CFD analysis of helicopter rotor-fuselage aerodynamics. (English) Zbl 1167.76033 Int. J. Numer. Methods Fluids 58, No. 5, 527-549 (2008). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76M25 76G25 76U05 PDFBibTeX XMLCite \textit{R. Steijl} and \textit{G. Barakos}, Int. J. Numer. Methods Fluids 58, No. 5, 527--549 (2008; Zbl 1167.76033) Full Text: DOI
Brenner, Susanne C.; Scott, L. Ridgway The mathematical theory of finite element methods. 3rd ed. (English) Zbl 1135.65042 Texts in Applied Mathematics 15. New York, NY: Springer (ISBN 978-0-387-75933-3/hbk). xvii, 397 p. (2008). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65-02 46N40 65N55 74S05 76M10 35J25 65N50 65F10 65F35 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L. R. Scott}, The mathematical theory of finite element methods. 3rd ed. New York, NY: Springer (2008; Zbl 1135.65042) Full Text: DOI