Wang, Yinghua; Wang, Bao-Shan; Ling, Leevan; Don, Wai Sun A time-continuous embedding method for scalar hyperbolic conservation laws on manifolds. (English) Zbl 1504.65187 J. Sci. Comput. 93, No. 3, Paper No. 84, 26 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65L06 65N08 65D05 35L65 35L67 76P05 76M12 35Q35 35Q53 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 93, No. 3, Paper No. 84, 26 p. (2022; Zbl 1504.65187) Full Text: DOI
Kang, Shinhoo; Constantinescu, Emil M. Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods. (English) Zbl 1497.65176 J. Sci. Comput. 93, No. 1, Paper No. 23, 31 p. (2022). MSC: 65M60 65M70 65N30 65N35 65L06 65L04 35R25 35Q35 PDFBibTeX XMLCite \textit{S. Kang} and \textit{E. M. Constantinescu}, J. Sci. Comput. 93, No. 1, Paper No. 23, 31 p. (2022; Zbl 1497.65176) Full Text: DOI arXiv
Khan, Arbaz; Mohan, Manil T.; Ruiz-Baier, Ricardo Conforming, nonconforming and DG methods for the stationary generalized Burgers-Huxley equation. (English) Zbl 1490.65279 J. Sci. Comput. 88, No. 3, Paper No. 52, 26 p. (2021). MSC: 65N30 35J66 65J15 65N15 PDFBibTeX XMLCite \textit{A. Khan} et al., J. Sci. Comput. 88, No. 3, Paper No. 52, 26 p. (2021; Zbl 1490.65279) Full Text: DOI arXiv
Fu, Guosheng; Wang, Zhu POD-(H)DG method for incompressible flow simulations. (English) Zbl 1451.65188 J. Sci. Comput. 85, No. 2, Paper No. 24, 19 p. (2020). MSC: 65N30 65M06 65M99 65N12 76S05 76D05 PDFBibTeX XMLCite \textit{G. Fu} and \textit{Z. Wang}, J. Sci. Comput. 85, No. 2, Paper No. 24, 19 p. (2020; Zbl 1451.65188) Full Text: DOI arXiv
Wahlsten, Markus; Nordström, Jan On stochastic investigation of flow problems using the viscous Burgers’ equation as an example. (English) Zbl 1466.65148 J. Sci. Comput. 81, No. 2, 1111-1117 (2019); correction ibid. 81, No. 2, 1118 (2019). MSC: 65M60 65D30 65M06 35Q53 35R60 PDFBibTeX XMLCite \textit{M. Wahlsten} and \textit{J. Nordström}, J. Sci. Comput. 81, No. 2, 1111--1117 (2019; Zbl 1466.65148) Full Text: DOI
Vong, Seakweng; Lyu, Pin Unconditional convergence in maximum-norm of a second-order linearized scheme for a time-fractional Burgers-type equation. (English) Zbl 1397.65148 J. Sci. Comput. 76, No. 2, 1252-1273 (2018). MSC: 65M06 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{S. Vong} and \textit{P. Lyu}, J. Sci. Comput. 76, No. 2, 1252--1273 (2018; Zbl 1397.65148) Full Text: DOI
Kang, Wei; Wilcox, Lucas C. Solving 1D conservation laws using Pontryagin’s minimum principle. (English) Zbl 1398.65256 J. Sci. Comput. 71, No. 1, 144-165 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65M70 PDFBibTeX XMLCite \textit{W. Kang} and \textit{L. C. Wilcox}, J. Sci. Comput. 71, No. 1, 144--165 (2017; Zbl 1398.65256) Full Text: DOI arXiv
Suarez, Jean-Piero; Jacobs, Gustaaf B. Regularization of singularities in the weighted summation of Dirac-delta functions for the spectral solution of hyperbolic conservation laws. (English) Zbl 1377.65137 J. Sci. Comput. 72, No. 3, 1080-1092 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35L65 65M12 PDFBibTeX XMLCite \textit{J.-P. Suarez} and \textit{G. B. Jacobs}, J. Sci. Comput. 72, No. 3, 1080--1092 (2017; Zbl 1377.65137) Full Text: DOI arXiv
Bigoni, Caterina; Hesthaven, Jan S. Adaptive WENO methods based on radial basis function reconstruction. (English) Zbl 1377.65114 J. Sci. Comput. 72, No. 3, 986-1020 (2017). MSC: 65M08 35L65 65M12 35Q53 65M50 PDFBibTeX XMLCite \textit{C. Bigoni} and \textit{J. S. Hesthaven}, J. Sci. Comput. 72, No. 3, 986--1020 (2017; Zbl 1377.65114) Full Text: DOI Link
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
Razi, Mani; Attar, Peter; Vedula, Prakash Numerical solution of multidimensional hyperbolic PDEs using defect correction on adaptive grids. (English) Zbl 1372.65243 J. Sci. Comput. 69, No. 2, 581-609 (2016). MSC: 65M06 35L70 65M15 35Q53 PDFBibTeX XMLCite \textit{M. Razi} et al., J. Sci. Comput. 69, No. 2, 581--609 (2016; Zbl 1372.65243) Full Text: DOI
Geraci, Gianluca; Congedo, Pietro Marco; Abgrall, Rémi; Iaccarino, Gianluca A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations. (English) Zbl 1338.65011 J. Sci. Comput. 66, No. 1, 358-405 (2016). MSC: 65C30 60H15 60H35 35L05 35R60 PDFBibTeX XMLCite \textit{G. Geraci} et al., J. Sci. Comput. 66, No. 1, 358--405 (2016; Zbl 1338.65011) Full Text: DOI
Lee, Hyung-Chun; Piao, Guang-Ri Boundary feedback control of the Burgers equations by a reduced-order approach using centroidal Voronoi tessellations. (English) Zbl 1203.93088 J. Sci. Comput. 43, No. 3, 369-387 (2010). MSC: 93B52 76D55 76M25 93B11 93C20 PDFBibTeX XMLCite \textit{H.-C. Lee} and \textit{G.-R. Piao}, J. Sci. Comput. 43, No. 3, 369--387 (2010; Zbl 1203.93088) Full Text: DOI
Constantinescu, Emil M.; Sandu, Adrian Multirate timestepping methods for hyperbolic conservation laws. (English) Zbl 1127.76033 J. Sci. Comput. 33, No. 3, 239-278 (2007). MSC: 76M12 76R99 76B99 65M12 PDFBibTeX XMLCite \textit{E. M. Constantinescu} and \textit{A. Sandu}, J. Sci. Comput. 33, No. 3, 239--278 (2007; Zbl 1127.76033) Full Text: DOI Link
Gottlieb, Sigal; Mullen, Julia S.; Ruuth, Steven J. A fifth-order flux-implicit WENO method. (English) Zbl 1107.76051 J. Sci. Comput. 27, No. 1-3, 271-287 (2006). MSC: 76M12 76N15 76L05 PDFBibTeX XMLCite \textit{S. Gottlieb} et al., J. Sci. Comput. 27, No. 1--3, 271--287 (2006; Zbl 1107.76051) Full Text: DOI
Ferm, Lars; Lötstedt, Per Space-time adaptive solution of first order PDEs. (English) Zbl 1089.76041 J. Sci. Comput. 26, No. 1, 83-110 (2006). MSC: 76M20 76N15 65M12 65M50 PDFBibTeX XMLCite \textit{L. Ferm} and \textit{P. Lötstedt}, J. Sci. Comput. 26, No. 1, 83--110 (2006; Zbl 1089.76041) Full Text: DOI
Li, Jichun; Visbal, Miguel R. High-order compact schemes for nonlinear dispersive waves. (English) Zbl 1089.76043 J. Sci. Comput. 26, No. 1, 1-23 (2006). MSC: 76M20 76B15 PDFBibTeX XMLCite \textit{J. Li} and \textit{M. R. Visbal}, J. Sci. Comput. 26, No. 1, 1--23 (2006; Zbl 1089.76043) Full Text: DOI
Sengupta, T. K.; Ganerwal, G.; Dipankar, Anurag High accuracy compact schemes and Gibbs’ phenomenon. (English) Zbl 1071.76040 J. Sci. Comput. 21, No. 3, 253-268 (2004). MSC: 76M20 76D99 65M06 PDFBibTeX XMLCite \textit{T. K. Sengupta} et al., J. Sci. Comput. 21, No. 3, 253--268 (2004; Zbl 1071.76040) Full Text: DOI
Chehab, Jean-Paul; Costa, Bruno Time explicit schemes and spatial finite differences splittings. (English) Zbl 1106.65320 J. Sci. Comput. 20, No. 2, 159-189 (2004). MSC: 65M06 37L25 65M12 76M20 PDFBibTeX XMLCite \textit{J.-P. Chehab} and \textit{B. Costa}, J. Sci. Comput. 20, No. 2, 159--189 (2004; Zbl 1106.65320) Full Text: DOI
Holmström, Mats; Waldén, Johan Adaptive wavelet methods for hyperbolic PDEs. (English) Zbl 0907.65093 J. Sci. Comput. 13, No. 1, 19-49 (1998). Reviewer: P.K.Mahanti (Ranchi) MSC: 65M60 35L45 35Q53 PDFBibTeX XMLCite \textit{M. Holmström} and \textit{J. Waldén}, J. Sci. Comput. 13, No. 1, 19--49 (1998; Zbl 0907.65093) Full Text: DOI
Dettori, Lucia; Gottlieb, David; Temam, Roger A nonlinear Galerkin method: The two-level Fourier-collocation case. (English) Zbl 0859.65111 J. Sci. Comput. 10, No. 4, 371-389 (1995). MSC: 65M60 35Q53 65M70 65M50 PDFBibTeX XMLCite \textit{L. Dettori} et al., J. Sci. Comput. 10, No. 4, 371--389 (1995; Zbl 0859.65111) Full Text: DOI
Solomonoff, Alex Reconstruction of a discontinuous function from a few Fourier coefficients using Bayesian estimation. (English) Zbl 0840.65104 J. Sci. Comput. 10, No. 1, 29-80 (1995). Reviewer: P.Y.Yalamov (Russe) MSC: 65M70 35L65 35C10 62A01 PDFBibTeX XMLCite \textit{A. Solomonoff}, J. Sci. Comput. 10, No. 1, 29--80 (1995; Zbl 0840.65104) Full Text: DOI
Marion, Martine On the stability of collocation methods for the two-dimensional Burgers equation: The Fourier case. (English) Zbl 0846.65052 J. Sci. Comput. 9, No. 4, 405-417 (1994). Reviewer: R.Anguelov (Welkom) MSC: 65M70 65M12 35Q53 PDFBibTeX XMLCite \textit{M. Marion}, J. Sci. Comput. 9, No. 4, 405--417 (1994; Zbl 0846.65052) Full Text: DOI
Boyd, John P. Hyperviscous shock layers and diffusion zones: Monotonicity, spectral viscosity, and pseudospectral methods for very high order differential equations. (English) Zbl 0845.76066 J. Sci. Comput. 9, No. 1, 81-106 (1994). Reviewer: W.Velte (Würzburg) MSC: 76M25 76R50 65M70 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Sci. Comput. 9, No. 1, 81--106 (1994; Zbl 0845.76066) Full Text: DOI
Gruberger, Nira Spectral methods for the computation of discontinuous solutions. (English) Zbl 0684.65104 J. Sci. Comput. 4, No. 1, 71-117 (1989). Reviewer: G.Stoyan MSC: 65N35 35L60 PDFBibTeX XMLCite \textit{N. Gruberger}, J. Sci. Comput. 4, No. 1, 71--117 (1989; Zbl 0684.65104) Full Text: DOI