Liu, Ce; Li, Baotong; Liu, Qingfang; Hong, Jun; Li, Kaitai A novel implicit meshless particle method: NURBS-based particle hydrodynamics (NBPH). (English) Zbl 07658100 Comput. Methods Appl. Mech. Eng. 406, Article ID 115895, 43 p. (2023). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{C. Liu} et al., Comput. Methods Appl. Mech. Eng. 406, Article ID 115895, 43 p. (2023; Zbl 07658100) Full Text: DOI
Karaca, K.; Temizer, İ. Variationally consistent Hellmann-Feynman forces in the finite element formulation of Kohn-Sham density functional theory. (English) Zbl 07644160 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115674, 34 p. (2023). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{K. Karaca} and \textit{İ. Temizer}, Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115674, 34 p. (2023; Zbl 07644160) Full Text: DOI
Aldossary, Abdulrahman S.; Sulaiman, Nadzril PCM examine of silica/decane nanostructure in the presence of copper oxide nanoparticles to improve the solar energy capacity of glass in the solar collectors via MD approach. (English) Zbl 07789073 Eng. Anal. Bound. Elem. 145, 72-82 (2022). MSC: 82-XX 92-XX PDFBibTeX XMLCite \textit{A. S. Aldossary} and \textit{N. Sulaiman}, Eng. Anal. Bound. Elem. 145, 72--82 (2022; Zbl 07789073) Full Text: DOI
Li, Shuai; Sajadi, S. Mohammad; Alharbi, Khalid Abdulkhaliq M.; El-Shorbagy, M. A.; Tlili, Iskander The molecular dynamics study of vacancy defect influence on carbon nanotube performance as drug delivery system. (English) Zbl 1521.82033 Eng. Anal. Bound. Elem. 143, 109-123 (2022). MSC: 82M37 82D80 92C50 PDFBibTeX XMLCite \textit{S. Li} et al., Eng. Anal. Bound. Elem. 143, 109--123 (2022; Zbl 1521.82033) Full Text: DOI
Gu, Chenlin An efficient algorithm for solving elliptic problems on percolation clusters. (English) Zbl 07598989 Ann. Appl. Probab. 32, No. 4, 2755-2810 (2022). MSC: 65-XX 35B27 60K35 60K37 65N15 82B43 PDFBibTeX XMLCite \textit{C. Gu}, Ann. Appl. Probab. 32, No. 4, 2755--2810 (2022; Zbl 07598989) Full Text: DOI arXiv
Chen, Hengjie; Li, Zhong A note on the applications of one primary function in deep neural networks. (English) Zbl 1517.41006 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 4, Article ID 2150058, 18 p. (2022). MSC: 41A30 41A25 68T07 82C32 92B20 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Z. Li}, Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 4, Article ID 2150058, 18 p. (2022; Zbl 1517.41006) Full Text: DOI
Parhi, Rahul; Nowak, Robert D. What kinds of functions do deep neural networks learn? Insights from variational spline theory. (English) Zbl 07511677 SIAM J. Math. Data Sci. 4, No. 2, 464-489 (2022). MSC: 68T05 82C32 94A12 46E27 47A52 PDFBibTeX XMLCite \textit{R. Parhi} and \textit{R. D. Nowak}, SIAM J. Math. Data Sci. 4, No. 2, 464--489 (2022; Zbl 07511677) Full Text: DOI arXiv
Dolgov, Sergey; Savostyanov, Dmitry Parallel cross interpolation for high-precision calculation of high-dimensional integrals. (English) Zbl 07678425 Comput. Phys. Commun. 246, Article ID 106869, 15 p. (2020). MSC: 82-XX 65-XX PDFBibTeX XMLCite \textit{S. Dolgov} and \textit{D. Savostyanov}, Comput. Phys. Commun. 246, Article ID 106869, 15 p. (2020; Zbl 07678425) Full Text: DOI arXiv
Reisinger, Christoph; Zhang, Yufei Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems. (English) Zbl 1456.82804 Anal. Appl., Singap. 18, No. 6, 951-999 (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 82C32 41A25 35R60 82M20 PDFBibTeX XMLCite \textit{C. Reisinger} and \textit{Y. Zhang}, Anal. Appl., Singap. 18, No. 6, 951--999 (2020; Zbl 1456.82804) Full Text: DOI arXiv
Farcaş, Ionuţ-Gabriel; Görler, Tobias; Bungartz, Hans-Joachim; Jenko, Frank; Neckel, Tobias Sensitivity-driven adaptive sparse stochastic approximations in plasma microinstability analysis. (English) Zbl 1436.65024 J. Comput. Phys. 410, Article ID 109394, 23 p. (2020). MSC: 65D40 65C20 82D10 PDFBibTeX XMLCite \textit{I.-G. Farcaş} et al., J. Comput. Phys. 410, Article ID 109394, 23 p. (2020; Zbl 1436.65024) Full Text: DOI arXiv
Tao, Zhanjing; Guo, Wei; Cheng, Yingda Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system. (English) Zbl 07785509 J. Comput. Phys.: X 3, Article ID 100022, 31 p. (2019). MSC: 65Mxx 65Nxx 82Dxx PDFBibTeX XMLCite \textit{Z. Tao} et al., J. Comput. Phys.: X 3, Article ID 100022, 31 p. (2019; Zbl 07785509) Full Text: DOI arXiv
Alsayyari, Fahad; Perkó, Zoltán; Lathouwers, Danny; Kloosterman, Jan Leen A nonintrusive reduced order modelling approach using proper orthogonal decomposition and locally adaptive sparse grids. (English) Zbl 1453.65029 J. Comput. Phys. 399, Article ID 108912, 25 p. (2019). MSC: 65D05 82D75 PDFBibTeX XMLCite \textit{F. Alsayyari} et al., J. Comput. Phys. 399, Article ID 108912, 25 p. (2019; Zbl 1453.65029) Full Text: DOI Link
Kraus, Johannes; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Stiftner, Bernhard Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics. (English) Zbl 1453.82102 J. Comput. Phys. 398, Article ID 108866, 27 p. (2019). MSC: 82M10 82D40 65F08 65M60 65Z05 PDFBibTeX XMLCite \textit{J. Kraus} et al., J. Comput. Phys. 398, Article ID 108866, 27 p. (2019; Zbl 1453.82102) Full Text: DOI arXiv
Faulstich, Fabian M.; Laestadius, Andre; Legeza, Örs; Schneider, Reinhold; Kvaal, Simen Analysis of the tailored coupled-cluster method in quantum chemistry. (English) Zbl 1435.81069 SIAM J. Numer. Anal. 57, No. 6, 2579-2607 (2019). MSC: 81Q05 81V55 81P40 62H30 82B28 65N15 35A01 35A02 PDFBibTeX XMLCite \textit{F. M. Faulstich} et al., SIAM J. Numer. Anal. 57, No. 6, 2579--2607 (2019; Zbl 1435.81069) Full Text: DOI arXiv
Chen, Jingrun; Lin, Ling; Zhang, Zhiwen; Zhou, Xiang Estimation of exciton diffusion lengths of organic semiconductors in random domains. (English) Zbl 1416.65503 J. Comput. Phys. 376, 894-912 (2019). MSC: 65N75 82D37 35R60 35B40 35Q82 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Comput. Phys. 376, 894--912 (2019; Zbl 1416.65503) Full Text: DOI arXiv
Geiser, Jürgen Multiscale modelling and splitting approaches for fluids composed of Coulomb-interacting particles. (English) Zbl 1491.76008 Math. Comput. Model. Dyn. Syst. 24, No. 4, 319-382 (2018). MSC: 76A99 76M28 76M35 76-10 82D15 PDFBibTeX XMLCite \textit{J. Geiser}, Math. Comput. Model. Dyn. Syst. 24, No. 4, 319--382 (2018; Zbl 1491.76008) Full Text: DOI
Kluth, Tobias; Jin, Bangti; Li, Guanglian On the degree of ill-posedness of multi-dimensional magnetic particle imaging. (English) Zbl 1397.82067 Inverse Probl. 34, No. 9, Article ID 095006, 26 p. (2018). MSC: 82D80 78A25 65R32 45Q05 45B05 PDFBibTeX XMLCite \textit{T. Kluth} et al., Inverse Probl. 34, No. 9, Article ID 095006, 26 p. (2018; Zbl 1397.82067) Full Text: DOI arXiv
Delle Site, Luigi; Ciccotti, Giovanni; Hartmann, Carsten Partitioning a macroscopic system into independent subsystems. (English) Zbl 1457.82005 J. Stat. Mech. Theory Exp. 2017, No. 8, Article ID 083201, 13 p. (2017). MSC: 82B05 PDFBibTeX XMLCite \textit{L. Delle Site} et al., J. Stat. Mech. Theory Exp. 2017, No. 8, Article ID 083201, 13 p. (2017; Zbl 1457.82005) Full Text: DOI arXiv
Guo, Wei; Cheng, Yingda A sparse grid discontinuous Galerkin method for high-dimensional transport equations and its application to kinetic simulations. (English) Zbl 1353.82064 SIAM J. Sci. Comput. 38, No. 6, A3381-A3409 (2016). MSC: 82C70 65M60 35Q20 35Q83 PDFBibTeX XMLCite \textit{W. Guo} and \textit{Y. Cheng}, SIAM J. Sci. Comput. 38, No. 6, A3381--A3409 (2016; Zbl 1353.82064) Full Text: DOI arXiv
Kormann, Katharina; Sonnendrücker, Eric Sparse grids for the Vlasov-Poisson equation. (English) Zbl 1381.82020 Garcke, Jochen (ed.) et al., Sparse grids and applications – Stuttgart 2014. Collected contributions of the 3rd workshop, SGA 2014, Stuttgart, Germany, September 1–5, 2014. Cham: Springer (ISBN 978-3-319-28260-2/hbk; 978-3-319-28262-6/ebook). Lecture Notes in Computational Science and Engineering 109, 163-190 (2016). MSC: 82D10 82C80 65M06 65M50 35Q83 PDFBibTeX XMLCite \textit{K. Kormann} and \textit{E. Sonnendrücker}, Lect. Notes Comput. Sci. Eng. 109, 163--190 (2016; Zbl 1381.82020) Full Text: DOI
Fackeldey, Konstantin Challenges in atomistic-to-continuum coupling. (English) Zbl 1394.82005 Math. Probl. Eng. 2015, Article ID 834517, 10 p. (2015). MSC: 82B21 74A25 PDFBibTeX XMLCite \textit{K. Fackeldey}, Math. Probl. Eng. 2015, Article ID 834517, 10 p. (2015; Zbl 1394.82005) Full Text: DOI
Hackett, Robert M. Modeling carbon nanotube reinforced composite materials with the cylindrical method of cells. (English) Zbl 1352.74220 Int. J. Numer. Methods Eng. 103, No. 6, 413-429 (2015). MSC: 74M25 74S05 74E30 65N30 82C80 82D80 PDFBibTeX XMLCite \textit{R. M. Hackett}, Int. J. Numer. Methods Eng. 103, No. 6, 413--429 (2015; Zbl 1352.74220) Full Text: DOI
Kormann, Katharina A semi-Lagrangian Vlasov solver in tensor train format. (English) Zbl 1325.76132 SIAM J. Sci. Comput. 37, No. 4, B613-B632 (2015). MSC: 76M20 65M06 15A69 76X05 82C80 82D10 PDFBibTeX XMLCite \textit{K. Kormann}, SIAM J. Sci. Comput. 37, No. 4, B613--B632 (2015; Zbl 1325.76132) Full Text: DOI arXiv
Li, Xiantao Coarse-graining molecular dynamics models using an extended Galerkin projection method. (English) Zbl 1352.82021 Int. J. Numer. Methods Eng. 99, No. 3, 157-182 (2014). MSC: 82C80 65L60 74A25 82D25 PDFBibTeX XMLCite \textit{X. Li}, Int. J. Numer. Methods Eng. 99, No. 3, 157--182 (2014; Zbl 1352.82021) Full Text: DOI arXiv
Krause, Dorian; Fackeldey, Konstantin; Krause, Rolf A parallel multiscale simulation toolbox for coupling molecular dynamics and finite elements. (English) Zbl 1321.82005 Griebel, Michael (ed.), Singular phenomena and scaling in mathematical models. Cham: Springer (ISBN 978-3-319-00785-4/hbk; 978-3-319-00786-1/ebook). 327-346 (2014). MSC: 82-08 82C80 65M60 PDFBibTeX XMLCite \textit{D. Krause} et al., in: Singular phenomena and scaling in mathematical models. Cham: Springer. 327--346 (2014; Zbl 1321.82005) Full Text: DOI
El Kass, D.; Monneau, R. Atomic to continuum passage for nanotubes: a discrete Saint-Venant principle and error estimates. (English) Zbl 1292.82052 Arch. Ration. Mech. Anal. 213, No. 1, 25-128 (2014). MSC: 82D80 81V45 74G50 PDFBibTeX XMLCite \textit{D. El Kass} and \textit{R. Monneau}, Arch. Ration. Mech. Anal. 213, No. 1, 25--128 (2014; Zbl 1292.82052) Full Text: DOI
Fackeldey, Konstantin; Bujotzek, Alexander; Weber, Marcus A meshless discretization method for Markov state models applied to explicit water peptide folding simulations. (English) Zbl 1269.82072 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VI. Selected papers of the sixth international workshop, Bonn, Germany, October 4–6, 2011. Berlin: Springer (ISBN 978-3-642-32978-4/hbk; 978-3-642-32979-1/ebook). Lecture Notes in Computational Science and Engineering 89, 141-154 (2013). MSC: 82D60 82-08 60J75 PDFBibTeX XMLCite \textit{K. Fackeldey} et al., Lect. Notes Comput. Sci. Eng. 89, 141--154 (2013; Zbl 1269.82072) Full Text: DOI
Makridakis, Charalambos; Süli, Endre Finite element analysis of Cauchy-Born approximations to atomistic models. (English) Zbl 1275.82002 Arch. Ration. Mech. Anal. 207, No. 3, 813-843 (2013). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 81V45 PDFBibTeX XMLCite \textit{C. Makridakis} and \textit{E. Süli}, Arch. Ration. Mech. Anal. 207, No. 3, 813--843 (2013; Zbl 1275.82002) Full Text: DOI
Clason, Christian; von Winckel, Gregory A general spectral method for the numerical simulation of one-dimensional interacting fermions. (English) Zbl 1268.82021 Comput. Phys. Commun. 183, No. 2, 405-417 (2012). MSC: 82C22 82-08 35Q41 82-04 65M60 65M70 PDFBibTeX XMLCite \textit{C. Clason} and \textit{G. von Winckel}, Comput. Phys. Commun. 183, No. 2, 405--417 (2012; Zbl 1268.82021) Full Text: DOI Link
Matthies, Hermann G.; Zander, Elmar Sparse representations in stochastic mechanics. (English) Zbl 1250.82003 Papadrakakis, Manolis (ed.) et al., Computational methods in stochastic dynamics. Selected papers based on the presentations at the 2nd international conference on computational methods in structural dynamics and earthquake engineering (COMPDYN 2009), and 2nd south east European conference on computational mechanics (SEECCM 2009, Rhodos, Greece, June 22–24, 2009 . New York, NY: Springer (ISBN 978-90-481-9986-0/hbk). Computational Methods in Applied Sciences (Springer) 22, 247-265 (2011). MSC: 82-08 76S05 82C31 65F08 65F20 60H15 PDFBibTeX XMLCite \textit{H. G. Matthies} and \textit{E. Zander}, in: Computational methods in stochastic dynamics. Selected papers based on the presentations at the 2nd international conference on computational methods in structural dynamics and earthquake engineering (COMPDYN 2009), and 2nd south east European conference on computational mechanics (SEECCM 2009, Rhodos, Greece, June 22--24, 2009 . New York, NY: Springer. 247--265 (2011; Zbl 1250.82003) Full Text: DOI
Son, Sang-Kil Voronoi-cell finite difference method for accurate electronic structure calculation of polyatomic molecules on unstructured grids. (English) Zbl 1211.82005 J. Comput. Phys. 230, No. 5, 2160-2173 (2011). MSC: 82-08 81V55 81V45 05B45 65N06 35J10 PDFBibTeX XMLCite \textit{S.-K. Son}, J. Comput. Phys. 230, No. 5, 2160--2173 (2011; Zbl 1211.82005) Full Text: DOI
Fackeldey, Konstantin; Krause, Rolf; Schweitzer, Marc Alexander Stability of energy transfer in the weak coupling method. (English) Zbl 1156.82339 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations IV. Papers based on the presentations at the 4th international workshop, Bonn, Germany, September 17–20, 2007. Berlin: Springer (ISBN 978-3-540-79993-1/pbk). Lecture Notes in Computational Science and Engineering 65, 111-119 (2008). MSC: 82B21 82B80 PDFBibTeX XMLCite \textit{K. Fackeldey} et al., Lect. Notes Comput. Sci. Eng. 65, 111--119 (2008; Zbl 1156.82339) Full Text: DOI
Ammar, Amine; Chinesta, Francisco Circumventing curse of dimensionality in the solution of highly multidimensional models encountered in quantum mechanics using meshfree finite sums decomposition. (English) Zbl 1156.81365 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations IV. Papers based on the presentations at the 4th international workshop, Bonn, Germany, September 17–20, 2007. Berlin: Springer (ISBN 978-3-540-79993-1/pbk). Lecture Notes in Computational Science and Engineering 65, 1-17 (2008). MSC: 81Q05 82D99 PDFBibTeX XMLCite \textit{A. Ammar} and \textit{F. Chinesta}, Lect. Notes Comput. Sci. Eng. 65, 1--17 (2008; Zbl 1156.81365) Full Text: DOI HAL
Campos Pinto, Martin; Mehrenberger, Michel Convergence of an adaptive semi-Lagrangian scheme for the Vlasov-Poisson system. (English) Zbl 1187.65108 Numer. Math. 108, No. 3, 407-444 (2008). Reviewer: B. S. Bhatt (St. Augustine) MSC: 65M50 82D10 PDFBibTeX XMLCite \textit{M. Campos Pinto} and \textit{M. Mehrenberger}, Numer. Math. 108, No. 3, 407--444 (2008; Zbl 1187.65108) Full Text: DOI
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis Atomistic to continuum limits for computational materials science. (English) Zbl 1144.82018 ESAIM, Math. Model. Numer. Anal. 41, No. 2, 391-426 (2007). Reviewer: Agneta Balint (Timişoara) MSC: 82B21 81V45 PDFBibTeX XMLCite \textit{X. Blanc} et al., ESAIM, Math. Model. Numer. Anal. 41, No. 2, 391--426 (2007; Zbl 1144.82018) Full Text: DOI Numdam EuDML
Ferm, Lars; Lötstedt, Per; Sjöberg, Paul Conservative solution of the Fokker-Planck equation for stochastic chemical reactions. (English) Zbl 1105.65091 BIT 46, Suppl., S61-S83 (2006). MSC: 65M06 65M20 65M50 35K55 82C31 60H15 PDFBibTeX XMLCite \textit{L. Ferm} et al., BIT 46, S61--S83 (2006; Zbl 1105.65091) Full Text: DOI
Tsukerman, Igor A class of difference schemes with flexible local approximation. (English) Zbl 1082.65108 J. Comput. Phys. 211, No. 2, 659-699 (2006). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N06 35J05 78M20 78A40 78A45 82C80 PDFBibTeX XMLCite \textit{I. Tsukerman}, J. Comput. Phys. 211, No. 2, 659--699 (2006; Zbl 1082.65108) Full Text: DOI