Malhotra, Dhairya; Barnett, Alex Efficient convergent boundary integral methods for slender bodies. (English) Zbl 07833842 J. Comput. Phys. 503, Article ID 112855, 28 p. (2024). MSC: 76Dxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{D. Malhotra} and \textit{A. Barnett}, J. Comput. Phys. 503, Article ID 112855, 28 p. (2024; Zbl 07833842) Full Text: DOI arXiv
Wei, Yuxiao; Cheng, Jin; Burridge, Robert; Qian, Jianliang Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing. (English) Zbl 07811323 J. Comput. Phys. 497, Article ID 112637, 36 p. (2024). MSC: 65Nxx 65Mxx 78Axx PDFBibTeX XMLCite \textit{Y. Wei} et al., J. Comput. Phys. 497, Article ID 112637, 36 p. (2024; Zbl 07811323) Full Text: DOI arXiv
Wang, Hanquan; Wang, Jing; Zhang, Shaobo; Zhang, Yong A time splitting Chebyshev-Fourier spectral method for the time-dependent rotating nonlocal Schrödinger equation in polar coordinates. (English) Zbl 07797659 J. Comput. Phys. 498, Article ID 112680, 20 p. (2024). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{H. Wang} et al., J. Comput. Phys. 498, Article ID 112680, 20 p. (2024; Zbl 07797659) Full Text: DOI
Badreddine, Siwar; Chollet, Igor; Grigori, Laura Factorized structure of the long-range two-electron integrals tensor and its application in quantum chemistry. (English) Zbl 07748046 J. Comput. Phys. 493, Article ID 112460, 29 p. (2023). MSC: 65Fxx 65Dxx 15Axx PDFBibTeX XMLCite \textit{S. Badreddine} et al., J. Comput. Phys. 493, Article ID 112460, 29 p. (2023; Zbl 07748046) Full Text: DOI arXiv
Almuslimani, Ibrahim; Crouseilles, Nicolas Conservative stabilized Runge-Kutta methods for the Vlasov-Fokker-Planck equation. (English) Zbl 07696997 J. Comput. Phys. 488, Article ID 112241, 21 p. (2023). MSC: 65Lxx 65Mxx 60Hxx PDFBibTeX XMLCite \textit{I. Almuslimani} and \textit{N. Crouseilles}, J. Comput. Phys. 488, Article ID 112241, 21 p. (2023; Zbl 07696997) Full Text: DOI arXiv
Wilkening, Jon; Zhao, Xinyu Spatially quasi-periodic bifurcations from periodic traveling water waves and a method for detecting bifurcations using signed singular values. (English) Zbl 07660327 J. Comput. Phys. 478, Article ID 111954, 34 p. (2023). MSC: 76Bxx 65Fxx 35Qxx PDFBibTeX XMLCite \textit{J. Wilkening} and \textit{X. Zhao}, J. Comput. Phys. 478, Article ID 111954, 34 p. (2023; Zbl 07660327) Full Text: DOI arXiv OA License
Zhang, Chao; Wang, Lifeng; Ye, Wenhua; Wu, Junfeng; Shen, Zhijun; Menshov, Igor Mathematical modeling of transport phenomena in compressible multicomponent flows. (English) Zbl 07620350 J. Comput. Phys. 472, Article ID 111628, 36 p. (2023). MSC: 76Txx 76Mxx 76Nxx PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Comput. Phys. 472, Article ID 111628, 36 p. (2023; Zbl 07620350) Full Text: DOI arXiv
Zhang, Lu; Xu, Liwei; Yin, Tao Regularized hyper-singular boundary integral equation methods for three-dimensional poroelastic problems. (English) Zbl 07578901 J. Comput. Phys. 468, Article ID 111492, 22 p. (2022). MSC: 74Sxx 65Nxx 74Fxx PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Phys. 468, Article ID 111492, 22 p. (2022; Zbl 07578901) Full Text: DOI arXiv
Tu, Houwang; Wang, Yongxian; Yang, Chunmei; Wang, Xiaodong; Ma, Shuqing; Xiao, Wenbin; Liu, Wei A novel algorithm to solve for an underwater line source sound field based on coupled modes and a spectral method. (English) Zbl 07578897 J. Comput. Phys. 468, Article ID 111478, 29 p. (2022). MSC: 65Nxx 76Mxx 76Qxx PDFBibTeX XMLCite \textit{H. Tu} et al., J. Comput. Phys. 468, Article ID 111478, 29 p. (2022; Zbl 07578897) Full Text: DOI arXiv
Zhang, Chao; Menshov, Igor; Wang, Lifeng; Shen, Zhijun Diffuse interface relaxation model for two-phase compressible flows with diffusion processes. (English) Zbl 07561058 J. Comput. Phys. 466, Article ID 111356, 39 p. (2022). MSC: 76Mxx 76Txx 76Nxx PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Comput. Phys. 466, Article ID 111356, 39 p. (2022; Zbl 07561058) Full Text: DOI arXiv
Croci, Matteo; de Souza, Giacomo Rosilho Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations. (English) Zbl 07540376 J. Comput. Phys. 464, Article ID 111349, 30 p. (2022). MSC: 65Lxx 65Fxx 65Mxx PDFBibTeX XMLCite \textit{M. Croci} and \textit{G. R. de Souza}, J. Comput. Phys. 464, Article ID 111349, 30 p. (2022; Zbl 07540376) Full Text: DOI arXiv
Hertel, Tobias; Besse, Nicolas; Frisch, Uriel The Cauchy-Lagrange method for 3D-axisymmetric wall-bounded and potentially singular incompressible Euler flows. (English) Zbl 07524763 J. Comput. Phys. 449, Article ID 110758, 44 p. (2022). MSC: 35Qxx 76Bxx 65Mxx PDFBibTeX XMLCite \textit{T. Hertel} et al., J. Comput. Phys. 449, Article ID 110758, 44 p. (2022; Zbl 07524763) Full Text: DOI
Weady, Scott; Shelley, Michael J.; Stein, David B. A fast Chebyshev method for the Bingham closure with application to active nematic suspensions. (English) Zbl 1515.82128 J. Comput. Phys. 457, Article ID 110937, 21 p. (2022). MSC: 82C40 82M99 65M32 PDFBibTeX XMLCite \textit{S. Weady} et al., J. Comput. Phys. 457, Article ID 110937, 21 p. (2022; Zbl 1515.82128) Full Text: DOI arXiv
Cosgrove, P.; Shwageraus, E. Stability analysis of higher-order neutronics-depletion coupling schemes and Bateman operators. (English) Zbl 1537.82024 J. Comput. Phys. 448, Article ID 110702, 27 p. (2022). MSC: 82D75 65N12 65D05 65D25 65F60 PDFBibTeX XMLCite \textit{P. Cosgrove} and \textit{E. Shwageraus}, J. Comput. Phys. 448, Article ID 110702, 27 p. (2022; Zbl 1537.82024) Full Text: DOI Link
Fomenko, Sergey I.; Golub, Mikhail V.; Doroshenko, Olga V.; Wang, Yanzheng; Zhang, Chuanzeng An advanced boundary integral equation method for wave propagation analysis in a layered piezoelectric phononic crystal with a crack or an electrode. (English) Zbl 07516429 J. Comput. Phys. 447, Article ID 110669, 23 p. (2021). MSC: 74Jxx 74Rxx 74Sxx PDFBibTeX XMLCite \textit{S. I. Fomenko} et al., J. Comput. Phys. 447, Article ID 110669, 23 p. (2021; Zbl 07516429) Full Text: DOI
Yuan, Huifang An efficient spectral-Galerkin method for fractional reaction-diffusion equations in unbounded domains. (English) Zbl 07511437 J. Comput. Phys. 428, Article ID 110083, 17 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Yuan}, J. Comput. Phys. 428, Article ID 110083, 17 p. (2021; Zbl 07511437) Full Text: DOI arXiv
Lui, S. H.; Nataj, Sarah Spectral collocation in space and time for linear PDEs. (English) Zbl 07508448 J. Comput. Phys. 424, Article ID 109843, 22 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. H. Lui} and \textit{S. Nataj}, J. Comput. Phys. 424, Article ID 109843, 22 p. (2021; Zbl 07508448) Full Text: DOI
Bruno, Oscar P.; Garza, Emmanuel A Chebyshev-based rectangular-polar integral solver for scattering by geometries described by non-overlapping patches. (English) Zbl 07508365 J. Comput. Phys. 421, Article ID 109740, 17 p. (2020). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{O. P. Bruno} and \textit{E. Garza}, J. Comput. Phys. 421, Article ID 109740, 17 p. (2020; Zbl 07508365) Full Text: DOI arXiv Link
Ray, Sudipta; Saha, Sandeep A reconstruction-based Chebyshev-collocation method for the Poisson equation: an accurate treatment of the Gibbs-Wilbraham phenomenon on irregular interfaces. (English) Zbl 07506157 J. Comput. Phys. 418, Article ID 109559, 20 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{S. Ray} and \textit{S. Saha}, J. Comput. Phys. 418, Article ID 109559, 20 p. (2020; Zbl 07506157) Full Text: DOI
Hadadian Nejad Yousefi, Mohsen; Ghoreishi Najafabadi, Seyed Hossein; Tohidi, Emran A new WENO based Chebyshev spectral volume method for solving one- and two-dimensional conservation laws. (English) Zbl 1453.76151 J. Comput. Phys. 403, Article ID 109055, 31 p. (2020). MSC: 76M22 76M12 35L65 76L05 PDFBibTeX XMLCite \textit{M. Hadadian Nejad Yousefi} et al., J. Comput. Phys. 403, Article ID 109055, 31 p. (2020; Zbl 1453.76151) Full Text: DOI
Keshavarzzadeh, Vahid; Kirby, Robert M.; Narayan, Akil Generation of nested quadrature rules for generic weight functions via numerical optimization: application to sparse grids. (English) Zbl 1453.65053 J. Comput. Phys. 400, Article ID 108979, 22 p. (2020). MSC: 65D32 65K10 65M60 PDFBibTeX XMLCite \textit{V. Keshavarzzadeh} et al., J. Comput. Phys. 400, Article ID 108979, 22 p. (2020; Zbl 1453.65053) Full Text: DOI arXiv
Ekici, Kivanc; Djeddi, Reza; Li, Hang; Frankel, Jay I. Modeling periodic and non-periodic response of dynamical systems using an efficient Chebyshev-based time-spectral approach. (English) Zbl 1437.76038 J. Comput. Phys. 417, Article ID 109560, 24 p. (2020). MSC: 76M22 76N06 76D17 34C15 34C60 PDFBibTeX XMLCite \textit{K. Ekici} et al., J. Comput. Phys. 417, Article ID 109560, 24 p. (2020; Zbl 1437.76038) Full Text: DOI
Temizer, İ.; Motamarri, P.; Gavini, V. NURBS-based non-periodic finite element framework for Kohn-Sham density functional theory calculations. (English) Zbl 1436.82026 J. Comput. Phys. 410, Article ID 109364, 26 p. (2020). MSC: 82M36 82M10 PDFBibTeX XMLCite \textit{İ. Temizer} et al., J. Comput. Phys. 410, Article ID 109364, 26 p. (2020; Zbl 1436.82026) Full Text: DOI Link
Bruno, Oscar P.; Yin, Tao Regularized integral equation methods for elastic scattering problems in three dimensions. (English) Zbl 1436.65211 J. Comput. Phys. 410, Article ID 109350, 20 p. (2020). MSC: 65R20 65N99 35P25 PDFBibTeX XMLCite \textit{O. P. Bruno} and \textit{T. Yin}, J. Comput. Phys. 410, Article ID 109350, 20 p. (2020; Zbl 1436.65211) Full Text: DOI arXiv Link
Morgan, Scott; Davies, Christopher Linear stability eigenmodal analysis for steady and temporally periodic boundary-layer flow configurations using a velocity-vorticity formulation. (English) Zbl 1435.76023 J. Comput. Phys. 409, Article ID 109325, 17 p. (2020). MSC: 76D10 76E99 PDFBibTeX XMLCite \textit{S. Morgan} and \textit{C. Davies}, J. Comput. Phys. 409, Article ID 109325, 17 p. (2020; Zbl 1435.76023) Full Text: DOI Link
Watwood, Matthew; Grooms, Ian; Julien, Keith A.; Smith, K. Shafer Energy-conserving Galerkin approximations for quasigeostrophic dynamics. (English) Zbl 1452.86008 J. Comput. Phys. 388, 23-40 (2019). MSC: 86A05 65M60 65Z05 PDFBibTeX XMLCite \textit{M. Watwood} et al., J. Comput. Phys. 388, 23--40 (2019; Zbl 1452.86008) Full Text: DOI arXiv
Ceniceros, Hector D. Efficient order-adaptive methods for polymer self-consistent field theory. (English) Zbl 1452.82030 J. Comput. Phys. 386, 9-21 (2019). MSC: 82D60 65N50 82M22 PDFBibTeX XMLCite \textit{H. D. Ceniceros}, J. Comput. Phys. 386, 9--21 (2019; Zbl 1452.82030) Full Text: DOI
Carpio, Jaime; Prieto, Juan Luis; Galán del Sastre, Pedro An anisotropic adaptive, Lagrange-Galerkin numerical method for spray combustion. (English) Zbl 1451.76065 J. Comput. Phys. 381, 246-274 (2019). MSC: 76M10 65M60 65M50 76V05 76R50 76T10 PDFBibTeX XMLCite \textit{J. Carpio} et al., J. Comput. Phys. 381, 246--274 (2019; Zbl 1451.76065) Full Text: DOI
Pérez-Arancibia, Carlos; Faria, Luiz M.; Turc, Catalin Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D. (English) Zbl 1416.65491 J. Comput. Phys. 376, 411-434 (2019). MSC: 65N38 35J05 45P05 PDFBibTeX XMLCite \textit{C. Pérez-Arancibia} et al., J. Comput. Phys. 376, 411--434 (2019; Zbl 1416.65491) Full Text: DOI arXiv
Breuer, Alex; Wang, Xin-Cindy More robust Chebyshev filtering for SCF iteration, with applications in real-space DFT. (English) Zbl 1416.65149 J. Comput. Phys. 374, 27-46 (2018). MSC: 65H17 65Z05 81V10 PDFBibTeX XMLCite \textit{A. Breuer} and \textit{X.-C. Wang}, J. Comput. Phys. 374, 27--46 (2018; Zbl 1416.65149) Full Text: DOI
Bremer, James An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order. (English) Zbl 1395.65005 J. Comput. Phys. 360, 15-38 (2018). MSC: 65D20 33C45 PDFBibTeX XMLCite \textit{J. Bremer}, J. Comput. Phys. 360, 15--38 (2018; Zbl 1395.65005) Full Text: DOI arXiv
Miquel, Benjamin; Julien, Keith Hybrid Chebyshev function bases for sparse spectral methods in parity-mixed PDEs on an infinite domain. (English) Zbl 1380.65308 J. Comput. Phys. 349, 474-500 (2017). MSC: 65M70 76F10 PDFBibTeX XMLCite \textit{B. Miquel} and \textit{K. Julien}, J. Comput. Phys. 349, 474--500 (2017; Zbl 1380.65308) Full Text: DOI arXiv
Moore, M. Nicholas J. A fast Chebyshev method for simulating flexible-wing propulsion. (English) Zbl 1378.74072 J. Comput. Phys. 345, 792-817 (2017). MSC: 74S25 74F10 74K10 65Y20 76D07 PDFBibTeX XMLCite \textit{M. N. J. Moore}, J. Comput. Phys. 345, 792--817 (2017; Zbl 1378.74072) Full Text: DOI arXiv
Subramaniam, Gnana M.; Vedula, Prakash A transformed path integral approach for solution of the Fokker-Planck equation. (English) Zbl 1378.35307 J. Comput. Phys. 346, 49-70 (2017). MSC: 35Q84 65M99 60H10 PDFBibTeX XMLCite \textit{G. M. Subramaniam} and \textit{P. Vedula}, J. Comput. Phys. 346, 49--70 (2017; Zbl 1378.35307) Full Text: DOI
Slevinsky, Richard Mikael; Olver, Sheehan A fast and well-conditioned spectral method for singular integral equations. (English) Zbl 1380.65446 J. Comput. Phys. 332, 290-315 (2017). MSC: 65R20 45E99 PDFBibTeX XMLCite \textit{R. M. Slevinsky} and \textit{S. Olver}, J. Comput. Phys. 332, 290--315 (2017; Zbl 1380.65446) Full Text: DOI arXiv
Falissard, F. Chebyshev-like generalized Shapiro filters for high-accuracy flow computations. (English) Zbl 1375.76162 J. Comput. Phys. 336, 595-607 (2017). MSC: 76N15 76M20 PDFBibTeX XMLCite \textit{F. Falissard}, J. Comput. Phys. 336, 595--607 (2017; Zbl 1375.76162) Full Text: DOI
Piao, Xiangfan; Bu, Sunyoung; Kim, Dojin; Kim, Philsu An embedded formula of the Chebyshev collocation method for stiff problems. (English) Zbl 1378.65141 J. Comput. Phys. 351, 376-391 (2017). MSC: 65L04 65L60 65L05 65L20 PDFBibTeX XMLCite \textit{X. Piao} et al., J. Comput. Phys. 351, 376--391 (2017; Zbl 1378.65141) Full Text: DOI
Pieper, Andreas; Kreutzer, Moritz; Alvermann, Andreas; Galgon, Martin; Fehske, Holger; Hager, Georg; Lang, Bruno; Wellein, Gerhard High-performance implementation of Chebyshev filter diagonalization for interior eigenvalue computations. (English) Zbl 1376.65055 J. Comput. Phys. 325, 226-243 (2016). MSC: 65F15 65F50 68M20 81V65 PDFBibTeX XMLCite \textit{A. Pieper} et al., J. Comput. Phys. 325, 226--243 (2016; Zbl 1376.65055) Full Text: DOI arXiv
Martín-Vaquero, J.; Kleefeld, B. Extrapolated stabilized explicit Runge-Kutta methods. (English) Zbl 1422.65233 J. Comput. Phys. 326, 141-155 (2016). MSC: 65M22 65L06 65L20 65L04 PDFBibTeX XMLCite \textit{J. Martín-Vaquero} and \textit{B. Kleefeld}, J. Comput. Phys. 326, 141--155 (2016; Zbl 1422.65233) Full Text: DOI
Michaud-Rioux, Vincent; Zhang, Lei; Guo, Hong RESCU: a real space electronic structure method. (English) Zbl 1352.65421 J. Comput. Phys. 307, 593-613 (2016). MSC: 65N06 82B10 PDFBibTeX XMLCite \textit{V. Michaud-Rioux} et al., J. Comput. Phys. 307, 593--613 (2016; Zbl 1352.65421) Full Text: DOI arXiv
Herrada, M. A.; Montanero, J. M. A numerical method to study the dynamics of capillary fluid systems. (English) Zbl 1351.76322 J. Comput. Phys. 306, 137-147 (2016). MSC: 76Z05 92C35 PDFBibTeX XMLCite \textit{M. A. Herrada} and \textit{J. M. Montanero}, J. Comput. Phys. 306, 137--147 (2016; Zbl 1351.76322) Full Text: DOI
Kim, Philsu; Kim, Junghan; Jung, WonKyu; Bu, Sunyoung An error embedded method based on generalized Chebyshev polynomials. (English) Zbl 1352.65177 J. Comput. Phys. 306, 55-72 (2016). MSC: 65L04 65L06 PDFBibTeX XMLCite \textit{P. Kim} et al., J. Comput. Phys. 306, 55--72 (2016; Zbl 1352.65177) Full Text: DOI
Mishra, Nachiketa; Vondřejc, Jaroslav; Zeman, Jan A comparative study on low-memory iterative solvers for FFT-based homogenization of periodic media. (English) Zbl 1349.94072 J. Comput. Phys. 321, 151-168 (2016). MSC: 94A12 65T50 PDFBibTeX XMLCite \textit{N. Mishra} et al., J. Comput. Phys. 321, 151--168 (2016; Zbl 1349.94072) Full Text: DOI arXiv
Rieutord, Michel; Espinosa Lara, Francisco; Putigny, Bertrand An algorithm for computing the 2D structure of fast rotating stars. (English) Zbl 1349.85004 J. Comput. Phys. 318, 277-304 (2016). MSC: 85A15 76N15 76U05 76W05 PDFBibTeX XMLCite \textit{M. Rieutord} et al., J. Comput. Phys. 318, 277--304 (2016; Zbl 1349.85004) Full Text: DOI arXiv
Moradi, H. V.; Floryan, J. M. A method for analysis of stability of flows in ribbed annuli. (English) Zbl 1349.76089 J. Comput. Phys. 314, 35-59 (2016). MSC: 76Exx PDFBibTeX XMLCite \textit{H. V. Moradi} and \textit{J. M. Floryan}, J. Comput. Phys. 314, 35--59 (2016; Zbl 1349.76089) Full Text: DOI
Lu, Wangtao; Qian, Jianliang; Burridge, Robert Babich’s expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies. (English) Zbl 1349.65691 J. Comput. Phys. 313, 478-510 (2016). MSC: 65N99 35J25 PDFBibTeX XMLCite \textit{W. Lu} et al., J. Comput. Phys. 313, 478--510 (2016; Zbl 1349.65691) Full Text: DOI
Motheau, E.; Abraham, J. A high-order numerical algorithm for DNS of low-Mach-number reactive flows with detailed chemistry and quasi-spectral accuracy. (English) Zbl 1349.65324 J. Comput. Phys. 313, 430-454 (2016). MSC: 65M06 76V05 80A32 PDFBibTeX XMLCite \textit{E. Motheau} and \textit{J. Abraham}, J. Comput. Phys. 313, 430--454 (2016; Zbl 1349.65324) Full Text: DOI HAL
de la Hoz, Francisco; Cuesta, Carlota M. A pseudo-spectral method for a non-local KdV-Burgers equation posed on \(\mathbb{R}\). (English) Zbl 1349.65532 J. Comput. Phys. 311, 45-61 (2016). MSC: 65M70 PDFBibTeX XMLCite \textit{F. de la Hoz} and \textit{C. M. Cuesta}, J. Comput. Phys. 311, 45--61 (2016; Zbl 1349.65532) Full Text: DOI arXiv
Cai, Tao A semi-implicit spectral method for compressible convection of rotating and density-stratified flows in Cartesian geometry. (English) Zbl 1349.76565 J. Comput. Phys. 310, 342-360 (2016). MSC: 76M22 65M70 76Nxx 76U05 PDFBibTeX XMLCite \textit{T. Cai}, J. Comput. Phys. 310, 342--360 (2016; Zbl 1349.76565) Full Text: DOI
Vreman, A. W.; Kuerten, J. G. M. A third-order multistep time discretization for a Chebyshev tau spectral method. (English) Zbl 1349.76573 J. Comput. Phys. 304, 162-169 (2016). MSC: 76M22 65M70 76D05 PDFBibTeX XMLCite \textit{A. W. Vreman} and \textit{J. G. M. Kuerten}, J. Comput. Phys. 304, 162--169 (2016; Zbl 1349.76573) Full Text: DOI Link
Kasperski, G. A parallel Schwarz preconditioner for the Chebyshev Gauss-Lobatto collocation image operator. (English) Zbl 1352.65209 J. Comput. Phys. 296, 101-112 (2015). MSC: 65L60 65L10 65L50 PDFBibTeX XMLCite \textit{G. Kasperski}, J. Comput. Phys. 296, 101--112 (2015; Zbl 1352.65209) Full Text: DOI
Schneider, Nicolas; Hammouch, Zohra; Labrosse, Gérard; Gauthier, Serge A spectral anelastic Navier-Stokes solver for a stratified two-miscible-layer system in infinite horizontal channel. (English) Zbl 1351.76206 J. Comput. Phys. 299, 374-403 (2015). MSC: 76M22 65M70 76D05 PDFBibTeX XMLCite \textit{N. Schneider} et al., J. Comput. Phys. 299, 374--403 (2015; Zbl 1351.76206) Full Text: DOI
Townsend, Alex; Olver, Sheehan The automatic solution of partial differential equations using a global spectral method. (English) Zbl 1352.65579 J. Comput. Phys. 299, 106-123 (2015). MSC: 65N35 PDFBibTeX XMLCite \textit{A. Townsend} and \textit{S. Olver}, J. Comput. Phys. 299, 106--123 (2015; Zbl 1352.65579) Full Text: DOI arXiv
Sun, Yifei; Kumar, Mrinal A numerical solver for high dimensional transient Fokker-Planck equation in modeling polymeric fluids. (English) Zbl 1351.82121 J. Comput. Phys. 289, 149-168 (2015). MSC: 82D60 82C80 65M70 82C31 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{M. Kumar}, J. Comput. Phys. 289, 149--168 (2015; Zbl 1351.82121) Full Text: DOI
Banerjee, Amartya S.; Elliott, Ryan S.; James, Richard D. A spectral scheme for Kohn-Sham density functional theory of clusters. (English) Zbl 1351.81014 J. Comput. Phys. 287, 226-253 (2015). MSC: 81-08 82-08 65N35 65N25 81P68 82C10 PDFBibTeX XMLCite \textit{A. S. Banerjee} et al., J. Comput. Phys. 287, 226--253 (2015; Zbl 1351.81014) Full Text: DOI arXiv
Li, Shan; Boyd, John P. Approximation on non-tensor domains including squircles. III: Polynomial hyperinterpolation and radial basis function interpolation on Chebyshev-like grids and truncated uniform grids. (English) Zbl 1352.65036 J. Comput. Phys. 281, 653-668 (2015). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{S. Li} and \textit{J. P. Boyd}, J. Comput. Phys. 281, 653--668 (2015; Zbl 1352.65036) Full Text: DOI
Blanes, Sergio; Casas, Fernando; Murua, Ander An efficient algorithm based on splitting for the time integration of the Schrödinger equation. (English) Zbl 1349.65393 J. Comput. Phys. 303, 396-412 (2015). MSC: 65M20 65L04 PDFBibTeX XMLCite \textit{S. Blanes} et al., J. Comput. Phys. 303, 396--412 (2015; Zbl 1349.65393) Full Text: DOI arXiv Link
Zandi, S.; Mohammadi, A.; Floryan, J. M. Spectrally-accurate algorithm for the analysis of flows in two-dimensional vibrating channels. (English) Zbl 1349.65530 J. Comput. Phys. 301, 425-455 (2015). MSC: 65M70 76D33 PDFBibTeX XMLCite \textit{S. Zandi} et al., J. Comput. Phys. 301, 425--455 (2015; Zbl 1349.65530) Full Text: DOI
Linders, Viktor; Nordström, Jan Uniformly best wavenumber approximations by spatial central difference operators. (English) Zbl 1349.65566 J. Comput. Phys. 300, 695-709 (2015). MSC: 65N06 PDFBibTeX XMLCite \textit{V. Linders} and \textit{J. Nordström}, J. Comput. Phys. 300, 695--709 (2015; Zbl 1349.65566) Full Text: DOI Link
O’Sullivan, Stephen A class of high-order Runge-Kutta-Chebyshev stability polynomials. (English) Zbl 1349.65225 J. Comput. Phys. 300, 665-678 (2015). MSC: 65L06 PDFBibTeX XMLCite \textit{S. O'Sullivan}, J. Comput. Phys. 300, 665--678 (2015; Zbl 1349.65225) Full Text: DOI arXiv
Zhou, Tao; Narayan, Akil; Xiu, Dongbin Weighted discrete least-squares polynomial approximation using randomized quadratures. (English) Zbl 1349.60086 J. Comput. Phys. 298, 787-800 (2015). MSC: 60G99 41A10 65C20 65D15 65D30 PDFBibTeX XMLCite \textit{T. Zhou} et al., J. Comput. Phys. 298, 787--800 (2015; Zbl 1349.60086) Full Text: DOI
Javaloyes, J.; Balle, S. Rational Chebyshev spectral transform for the dynamics of broad-area laser diodes. (English) Zbl 1349.78109 J. Comput. Phys. 298, 801-815 (2015). MSC: 78M22 65T50 78A48 PDFBibTeX XMLCite \textit{J. Javaloyes} and \textit{S. Balle}, J. Comput. Phys. 298, 801--815 (2015; Zbl 1349.78109) Full Text: DOI arXiv
Plestenjak, Bor; Gheorghiu, Călin I.; Hochstenbach, Michiel E. Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems. (English) Zbl 1349.65655 J. Comput. Phys. 298, 585-601 (2015). MSC: 65N35 65N25 35J05 PDFBibTeX XMLCite \textit{B. Plestenjak} et al., J. Comput. Phys. 298, 585--601 (2015; Zbl 1349.65655) Full Text: DOI Link
Mohammadi, Fakhrodin A wavelet-based computational method for solving stochastic Itô-Volterra integral equations. (English) Zbl 1349.65717 J. Comput. Phys. 298, 254-265 (2015). MSC: 65R20 45R05 45D05 65C20 PDFBibTeX XMLCite \textit{F. Mohammadi}, J. Comput. Phys. 298, 254--265 (2015; Zbl 1349.65717) Full Text: DOI
Huang, Zhu; Boyd, John P. Chebyshev-Fourier spectral methods in bipolar coordinates. (English) Zbl 1349.65647 J. Comput. Phys. 295, 46-64 (2015). MSC: 65N35 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{J. P. Boyd}, J. Comput. Phys. 295, 46--64 (2015; Zbl 1349.65647) Full Text: DOI
Zhou, Yunkai; Chelikowsky, James R.; Saad, Yousef Chebyshev-filtered subspace iteration method free of sparse diagonalization for solving the Kohn-Sham equation. (English) Zbl 1351.82098 J. Comput. Phys. 274, 770-782 (2014). MSC: 82C80 PDFBibTeX XMLCite \textit{Y. Zhou} et al., J. Comput. Phys. 274, 770--782 (2014; Zbl 1351.82098) Full Text: DOI
Panosso Macedo, Rodrigo; Ansorg, Marcus Axisymmetric fully spectral code for hyperbolic equations. (English) Zbl 1349.65523 J. Comput. Phys. 276, 357-379 (2014). MSC: 65M70 35L05 35R35 85A05 PDFBibTeX XMLCite \textit{R. Panosso Macedo} and \textit{M. Ansorg}, J. Comput. Phys. 276, 357--379 (2014; Zbl 1349.65523) Full Text: DOI arXiv
Noormohammadi, N.; Boroomand, B. A fictitious domain method using equilibrated basis functions for harmonic and bi-harmonic problems in physics. (English) Zbl 1349.65653 J. Comput. Phys. 272, 189-217 (2014). MSC: 65N35 PDFBibTeX XMLCite \textit{N. Noormohammadi} and \textit{B. Boroomand}, J. Comput. Phys. 272, 189--217 (2014; Zbl 1349.65653) Full Text: DOI
Lenaers, Peter; Schlatter, Philipp; Brethouwer, Geert; Johansson, Arne V. A new high-order method for the simulation of incompressible wall-bounded turbulent flows. (English) Zbl 1349.76122 J. Comput. Phys. 272, 108-126 (2014). MSC: 76F65 76M20 65M06 PDFBibTeX XMLCite \textit{P. Lenaers} et al., J. Comput. Phys. 272, 108--126 (2014; Zbl 1349.76122) Full Text: DOI
Luo, Songting; Qian, Jianliang; Burridge, Robert Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime. (English) Zbl 1349.78051 J. Comput. Phys. 270, 378-401 (2014). MSC: 78A48 PDFBibTeX XMLCite \textit{S. Luo} et al., J. Comput. Phys. 270, 378--401 (2014; Zbl 1349.78051) Full Text: DOI
Nguyen, Dang Van; Li, Jing-Rebecca; Grebenkov, Denis; Le Bihan, Denis A finite elements method to solve the Bloch-Torrey equation applied to diffusion magnetic resonance imaging. (English) Zbl 1349.78070 J. Comput. Phys. 263, 283-302 (2014). MSC: 78M10 65M60 94A08 PDFBibTeX XMLCite \textit{D. Van Nguyen} et al., J. Comput. Phys. 263, 283--302 (2014; Zbl 1349.78070) Full Text: DOI
Li, Shan; Boyd, John P. Symmetrizing grids, radial basis functions, and Chebyshev and Zernike polynomials for the \(D_4\) symmetry group; interpolation within a squircle. I. (English) Zbl 1349.65056 J. Comput. Phys. 258, 931-947 (2014). MSC: 65D05 41A30 PDFBibTeX XMLCite \textit{S. Li} and \textit{J. P. Boyd}, J. Comput. Phys. 258, 931--947 (2014; Zbl 1349.65056) Full Text: DOI
Hedayatrasa, Saeid; Bui, Tinh Quoc; Zhang, Chuanzeng; Lim, Chee Wah Numerical modeling of wave propagation in functionally graded materials using time-domain spectral Chebyshev elements. (English) Zbl 1349.74199 J. Comput. Phys. 258, 381-404 (2014). MSC: 74J05 74S05 65M70 PDFBibTeX XMLCite \textit{S. Hedayatrasa} et al., J. Comput. Phys. 258, 381--404 (2014; Zbl 1349.74199) Full Text: DOI
Meyer, Chad D.; Balsara, Dinshaw S.; Aslam, Tariq D. A stabilized Runge-Kutta-Legendre method for explicit super-time-stepping of parabolic and mixed equations. (English) Zbl 1349.65520 J. Comput. Phys. 257, Part A, 594-626 (2014). MSC: 65M70 PDFBibTeX XMLCite \textit{C. D. Meyer} et al., J. Comput. Phys. 257, Part A, 594--626 (2014; Zbl 1349.65520) Full Text: DOI
Niemeyer, Kyle E.; Sung, Chih-Jen Accelerating moderately stiff chemical kinetics in reactive-flow simulations using GPUs. (English) Zbl 1349.76880 J. Comput. Phys. 256, 854-871 (2014). MSC: 76V05 92E20 65Y10 PDFBibTeX XMLCite \textit{K. E. Niemeyer} and \textit{C.-J. Sung}, J. Comput. Phys. 256, 854--871 (2014; Zbl 1349.76880) Full Text: DOI arXiv
Jeng, B.-W.; Chien, C.-S.; Chern, I.-L. Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates. (English) Zbl 1349.81087 J. Comput. Phys. 256, 713-727 (2014). MSC: 81Q05 65M70 35Q55 82B10 PDFBibTeX XMLCite \textit{B. W. Jeng} et al., J. Comput. Phys. 256, 713--727 (2014; Zbl 1349.81087) Full Text: DOI
Wang, Y.-S.; Chien, C.-S. A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates. (English) Zbl 1349.82129 J. Comput. Phys. 256, 198-213 (2014). MSC: 82C80 65M70 82B10 PDFBibTeX XMLCite \textit{Y. S. Wang} and \textit{C. S. Chien}, J. Comput. Phys. 256, 198--213 (2014; Zbl 1349.82129) Full Text: DOI
Dragna, D.; Bogey, C.; Hornikx, M.; Blanc-Benon, P. Analysis of the dissipation and dispersion properties of the multi-domain Chebyshev pseudospectral method. (English) Zbl 1349.78108 J. Comput. Phys. 255, 31-47 (2013). MSC: 78M22 78A40 PDFBibTeX XMLCite \textit{D. Dragna} et al., J. Comput. Phys. 255, 31--47 (2013; Zbl 1349.78108) Full Text: DOI
Motamarri, P.; Nowak, M. R.; Leiter, K.; Knap, J.; Gavini, V. Higher-order adaptive finite-element methods for Kohn-Sham density functional theory. (English) Zbl 1349.74331 J. Comput. Phys. 253, 308-343 (2013). MSC: 74S05 65N30 65D30 65N50 65R10 PDFBibTeX XMLCite \textit{P. Motamarri} et al., J. Comput. Phys. 253, 308--343 (2013; Zbl 1349.74331) Full Text: DOI arXiv
Yang, Xiu; Karniadakis, George Em Reweighted \(\ell_1\) minimization method for stochastic elliptic differential equations. (English) Zbl 1349.60113 J. Comput. Phys. 248, 87-108 (2013). MSC: 60H35 60H15 PDFBibTeX XMLCite \textit{X. Yang} and \textit{G. E. Karniadakis}, J. Comput. Phys. 248, 87--108 (2013; Zbl 1349.60113) Full Text: DOI
Boyd, John P. A comparison of companion matrix methods to find roots of a trigonometric polynomial. (English) Zbl 1349.65156 J. Comput. Phys. 246, 96-112 (2013). MSC: 65H05 65T40 13P10 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Comput. Phys. 246, 96--112 (2013; Zbl 1349.65156) Full Text: DOI
Abdulle, Assyr; Vilmart, Gilles PIROCK: A swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise. (English) Zbl 1297.65110 J. Comput. Phys. 242, 869-888 (2013). MSC: 65M20 65L06 35K57 65L04 65C30 60H15 35R60 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{G. Vilmart}, J. Comput. Phys. 242, 869--888 (2013; Zbl 1297.65110) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Bassuony, M. A. New algorithms for solving high even-order differential equations using third and fourth Chebyshev-Galerkin methods. (English) Zbl 1286.65093 J. Comput. Phys. 236, 563-579 (2013). MSC: 65L50 33C45 41A10 PDFBibTeX XMLCite \textit{E. H. Doha} et al., J. Comput. Phys. 236, 563--579 (2013; Zbl 1286.65093) Full Text: DOI
Hagan, Jonathan; Priede, Jānis Capacitance matrix technique for avoiding spurious eigenmodes in the solution of hydrodynamic stability problems by Chebyshev collocation method. (English) Zbl 1286.65130 J. Comput. Phys. 238, 210-216 (2013). MSC: 65M70 65F15 76E99 PDFBibTeX XMLCite \textit{J. Hagan} and \textit{J. Priede}, J. Comput. Phys. 238, 210--216 (2013; Zbl 1286.65130) Full Text: DOI arXiv
Kumar, Amit; Graham, Michael D. Accelerated boundary integral method for multiphase flow in non-periodic geometries. (English) Zbl 1284.76277 J. Comput. Phys. 231, No. 20, 6682-6713 (2012). MSC: 76M15 76D07 65Y20 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{M. D. Graham}, J. Comput. Phys. 231, No. 20, 6682--6713 (2012; Zbl 1284.76277) Full Text: DOI arXiv
Gao, Junhui; Yang, Zhigang; Li, Xiaodong An optimized spectral difference scheme for CAA problems. (English) Zbl 1245.76087 J. Comput. Phys. 231, No. 14, 4848-4866 (2012). MSC: 76M22 76Q05 PDFBibTeX XMLCite \textit{J. Gao} et al., J. Comput. Phys. 231, No. 14, 4848--4866 (2012; Zbl 1245.76087) Full Text: DOI
Gonnet, Pedro A short note on the fast evaluation of dihedral angle potentials and their derivatives. (English) Zbl 1245.82002 J. Comput. Phys. 231, No. 7, 2691-2694 (2012). MSC: 82-08 PDFBibTeX XMLCite \textit{P. Gonnet}, J. Comput. Phys. 231, No. 7, 2691--2694 (2012; Zbl 1245.82002) Full Text: DOI Link
Horng, Tzyy-Leng; Teng, Chun-Hao An error minimized pseudospectral penalty direct Poisson solver. (English) Zbl 1242.65248 J. Comput. Phys. 231, No. 6, 2498-2509 (2012). MSC: 65N35 35J05 65N15 PDFBibTeX XMLCite \textit{T.-L. Horng} and \textit{C.-H. Teng}, J. Comput. Phys. 231, No. 6, 2498--2509 (2012; Zbl 1242.65248) Full Text: DOI
Messner, Matthias; Schanz, Martin; Darve, Eric Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation. (English) Zbl 1239.65002 J. Comput. Phys. 231, No. 4, 1175-1196 (2012). MSC: 65B10 65D05 PDFBibTeX XMLCite \textit{M. Messner} et al., J. Comput. Phys. 231, No. 4, 1175--1196 (2012; Zbl 1239.65002) Full Text: DOI
Liu, Xiaofeng Extension of Kleiser and Schumann’s influence-matrix method for generalized velocity boundary conditions. (English) Zbl 1280.76005 J. Comput. Phys. 230, No. 22, 7911-7916 (2011). MSC: 76D05 76F65 PDFBibTeX XMLCite \textit{X. Liu}, J. Comput. Phys. 230, No. 22, 7911--7916 (2011; Zbl 1280.76005) Full Text: DOI
Fornberg, Bengt; Weideman, J. A. C. A numerical methodology for the Painlevé equations. (English) Zbl 1220.65092 J. Comput. Phys. 230, No. 15, 5957-5973 (2011). MSC: 65L05 34M55 65L60 PDFBibTeX XMLCite \textit{B. Fornberg} and \textit{J. A. C. Weideman}, J. Comput. Phys. 230, No. 15, 5957--5973 (2011; Zbl 1220.65092) Full Text: DOI Link
Buffat, Marc; Le Penven, Lionel A spectral fictitious domain method with internal forcing for solving elliptic PDEs. (English) Zbl 1218.65143 J. Comput. Phys. 230, No. 7, 2433-2450 (2011). MSC: 65N85 65N35 35J05 65N50 35J40 PDFBibTeX XMLCite \textit{M. Buffat} and \textit{L. Le Penven}, J. Comput. Phys. 230, No. 7, 2433--2450 (2011; Zbl 1218.65143) Full Text: DOI
Boyd, John P.; Yu, Fu Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions. (English) Zbl 1210.65192 J. Comput. Phys. 230, No. 4, 1408-1438 (2011). MSC: 65N35 PDFBibTeX XMLCite \textit{J. P. Boyd} and \textit{F. Yu}, J. Comput. Phys. 230, No. 4, 1408--1438 (2011; Zbl 1210.65192) Full Text: DOI
Remis, Rob F. On the relation between FDTD and Fibonacci polynomials. (English) Zbl 1211.78033 J. Comput. Phys. 230, No. 4, 1382-1386 (2011). MSC: 78M20 11B39 41A50 PDFBibTeX XMLCite \textit{R. F. Remis}, J. Comput. Phys. 230, No. 4, 1382--1386 (2011; Zbl 1211.78033) Full Text: DOI
Labrosse, G.; Redondo, A. The optimal 3-node preconditioner of the \(\frac{d^2}{dx^2}\) Fourier and Chebyshev spectral operators. (English) Zbl 1202.76095 J. Comput. Phys. 230, No. 1, 147-158 (2011). MSC: 76M10 65F08 PDFBibTeX XMLCite \textit{G. Labrosse} and \textit{A. Redondo}, J. Comput. Phys. 230, No. 1, 147--158 (2011; Zbl 1202.76095) Full Text: DOI
Zhou, Yunkai A block Chebyshev-Davidson method with inner-outer restart for large eigenvalue problems. (English) Zbl 1203.65077 J. Comput. Phys. 229, No. 24, 9188-9200 (2010). MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{Y. Zhou}, J. Comput. Phys. 229, No. 24, 9188--9200 (2010; Zbl 1203.65077) Full Text: DOI
Anderson, Christopher R. A Rayleigh-Chebyshev procedure for finding the smallest eigenvalues and associated eigenvectors of large sparse Hermitian matrices. (English) Zbl 1197.65034 J. Comput. Phys. 229, No. 19, 7477-7487 (2010). MSC: 65F15 PDFBibTeX XMLCite \textit{C. R. Anderson}, J. Comput. Phys. 229, No. 19, 7477--7487 (2010; Zbl 1197.65034) Full Text: DOI
Trouette, B.; Delcarte, C.; Labrosse, G. About the ellipticity of the Chebyshev-Gauss-Radau discrete Laplacian with Neumann condition. (English) Zbl 1197.65188 J. Comput. Phys. 229, No. 19, 7277-7286 (2010). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{B. Trouette} et al., J. Comput. Phys. 229, No. 19, 7277--7286 (2010; Zbl 1197.65188) Full Text: DOI
Driscoll, Tobin A. Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations. (English) Zbl 1195.65225 J. Comput. Phys. 229, No. 17, 5980-5998 (2010). MSC: 65R20 PDFBibTeX XMLCite \textit{T. A. Driscoll}, J. Comput. Phys. 229, No. 17, 5980--5998 (2010; Zbl 1195.65225) Full Text: DOI
Bialecki, B.; de Frutos, J. ADI spectral collocation methods for parabolic problems. (English) Zbl 1194.65118 J. Comput. Phys. 229, No. 13, 5182-5193 (2010). MSC: 65M70 35K20 65M12 65M06 65T50 65F10 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{J. de Frutos}, J. Comput. Phys. 229, No. 13, 5182--5193 (2010; Zbl 1194.65118) Full Text: DOI