Cai, Yongyong; Chen, Jingrun; Wang, Cheng; Xie, Changjian A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters. (English) Zbl 07517150 J. Comput. Phys. 451, Article ID 110831, 12 p. (2022). MSC: 65Mxx 82Dxx 35Qxx PDF BibTeX XML Cite \textit{Y. Cai} et al., J. Comput. Phys. 451, Article ID 110831, 12 p. (2022; Zbl 07517150) Full Text: DOI OpenURL
Keita, Sana; Beljadid, Abdelaziz; Bourgault, Yves Mass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equations. (English) Zbl 07512373 J. Comput. Phys. 440, Article ID 110427, 25 p. (2021). MSC: 35Kxx 65Mxx 35Qxx PDF BibTeX XML Cite \textit{S. Keita} et al., J. Comput. Phys. 440, Article ID 110427, 25 p. (2021; Zbl 07512373) Full Text: DOI OpenURL
Fryklund, Fredrik; Lehto, Erik; Tornberg, Anna-Karin Partition of unity extension of functions on complex domains. (English) Zbl 1416.65475 J. Comput. Phys. 375, 57-79 (2018). MSC: 65N35 65N80 35J05 35J25 PDF BibTeX XML Cite \textit{F. Fryklund} et al., J. Comput. Phys. 375, 57--79 (2018; Zbl 1416.65475) Full Text: DOI arXiv OpenURL
Macías-Díaz, J. E. A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives. (English) Zbl 1380.65164 J. Comput. Phys. 351, 40-58 (2017). MSC: 65M06 65M12 35R11 35L10 PDF BibTeX XML Cite \textit{J. E. Macías-Díaz}, J. Comput. Phys. 351, 40--58 (2017; Zbl 1380.65164) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{W. Lu} et al., J. Comput. Phys. 313, 478--510 (2016; Zbl 1349.65691) Full Text: DOI OpenURL
Shao, Yan-Lin; Faltinsen, Odd M. A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics. (English) Zbl 1351.86006 J. Comput. Phys. 274, 312-332 (2014). MSC: 86-08 76M25 76M15 65N99 76B15 35J25 86A05 PDF BibTeX XML Cite \textit{Y.-L. Shao} and \textit{O. M. Faltinsen}, J. Comput. Phys. 274, 312--332 (2014; Zbl 1351.86006) Full Text: DOI Link OpenURL
Vong, Seakweng; Wang, Zhibo A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions. (English) Zbl 1352.65273 J. Comput. Phys. 274, 268-282 (2014). MSC: 65M06 35R11 35L20 39A14 65M12 PDF BibTeX XML Cite \textit{S. Vong} and \textit{Z. Wang}, J. Comput. Phys. 274, 268--282 (2014; Zbl 1352.65273) Full Text: DOI OpenURL
Bao, Gang; Lai, Jun; Qian, Jianliang Fast multiscale Gaussian beam methods for wave equations in bounded convex domains. (English) Zbl 1349.65543 J. Comput. Phys. 261, 36-64 (2014). MSC: 65M99 35L20 PDF BibTeX XML Cite \textit{G. Bao} et al., J. Comput. Phys. 261, 36--64 (2014; Zbl 1349.65543) Full Text: DOI OpenURL
Zarmi, Asaf; Turkel, Eli A general approach for high order absorbing boundary conditions for the Helmholtz equation. (English) Zbl 1327.78014 J. Comput. Phys. 242, 387-404 (2013). Reviewer: Gunther Schmidt (Berlin) MSC: 78A45 35J05 35J25 65N22 65N99 PDF BibTeX XML Cite \textit{A. Zarmi} and \textit{E. Turkel}, J. Comput. Phys. 242, 387--404 (2013; Zbl 1327.78014) Full Text: DOI OpenURL
Lu, Changna; Huang, Weizhang; Van Vleck, Erik S. The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations. (English) Zbl 1297.65097 J. Comput. Phys. 242, 24-36 (2013). MSC: 65M06 35K55 65M12 35K20 PDF BibTeX XML Cite \textit{C. Lu} et al., J. Comput. Phys. 242, 24--36 (2013; Zbl 1297.65097) Full Text: DOI arXiv OpenURL
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. (English) Zbl 1287.65064 J. Comput. Phys. 240, 36-48 (2013). MSC: 65M06 65M12 35K20 35R11 PDF BibTeX XML Cite \textit{A. Mohebbi} et al., J. Comput. Phys. 240, 36--48 (2013; Zbl 1287.65064) Full Text: DOI OpenURL
Pang, Hong-Kui; Sun, Hai-Wei Multigrid method for fractional diffusion equations. (English) Zbl 1243.65117 J. Comput. Phys. 231, No. 2, 693-703 (2012). MSC: 65M55 35K20 35R11 65M06 65M12 65T50 PDF BibTeX XML Cite \textit{H.-K. Pang} and \textit{H.-W. Sun}, J. Comput. Phys. 231, No. 2, 693--703 (2012; Zbl 1243.65117) Full Text: DOI OpenURL
Wang, Hong; Wang, Kaixin An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations. (English) Zbl 1229.65165 J. Comput. Phys. 230, No. 21, 7830-7839 (2011). MSC: 65M06 35K20 35R11 65F10 65T50 PDF BibTeX XML Cite \textit{H. Wang} and \textit{K. Wang}, J. Comput. Phys. 230, No. 21, 7830--7839 (2011; Zbl 1229.65165) Full Text: DOI OpenURL
Kubatko, Ethan J.; Dawson, Clint; Westerink, Joannes J. Time step restrictions for Runge-Kutta discontinuous Galerkin methods on triangular grids. (English) Zbl 1154.65071 J. Comput. Phys. 227, No. 23, 9697-9710 (2008). MSC: 65M20 65M60 65L06 65M12 65Y20 35K15 PDF BibTeX XML Cite \textit{E. J. Kubatko} et al., J. Comput. Phys. 227, No. 23, 9697--9710 (2008; Zbl 1154.65071) Full Text: DOI OpenURL
Liang, An; Jing, Xiaodong; Sun, Xiaofeng Constructing spectral schemes of the immersed interface method via a global description of discontinuous functions. (English) Zbl 1147.65098 J. Comput. Phys. 227, No. 18, 8341-8366 (2008). MSC: 65N35 35J25 65N06 65L60 65L12 34B05 PDF BibTeX XML Cite \textit{A. Liang} et al., J. Comput. Phys. 227, No. 18, 8341--8366 (2008; Zbl 1147.65098) Full Text: DOI OpenURL
Mansur, W. J.; Loureiro, F. S.; Soares, D. jun.; Dors, C. Explicit time-domain approaches based on numerical Green’s functions computed by finite differences the ExGa family. (English) Zbl 1127.65061 J. Comput. Phys. 227, No. 1, 851-870 (2007). MSC: 65M06 65M60 65M12 35L15 65L06 65M50 PDF BibTeX XML Cite \textit{W. J. Mansur} et al., J. Comput. Phys. 227, No. 1, 851--870 (2007; Zbl 1127.65061) Full Text: DOI OpenURL
Lin, Yumin; Xu, Chuanju Finite difference/spectral approximations for the time-fractional diffusion equation. (English) Zbl 1126.65121 J. Comput. Phys. 225, No. 2, 1533-1552 (2007). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 65M12 65M06 65M70 45K05 26A33 35K15 PDF BibTeX XML Cite \textit{Y. Lin} and \textit{C. Xu}, J. Comput. Phys. 225, No. 2, 1533--1552 (2007; Zbl 1126.65121) Full Text: DOI OpenURL
Svärd, Magnus; Nordström, Jan On the order of accuracy for difference approximations of initial-boundary value problems. (English) Zbl 1123.65088 J. Comput. Phys. 218, No. 1, 333-352 (2006). Reviewer: S. Burys (Kraków) MSC: 65M06 65M20 65M12 35L05 35K15 35M20 35Q30 35Q53 PDF BibTeX XML Cite \textit{M. Svärd} and \textit{J. Nordström}, J. Comput. Phys. 218, No. 1, 333--352 (2006; Zbl 1123.65088) Full Text: DOI Link OpenURL
Su, Chau-Hsing; Lucor, Didier Covariance kernel representations of multidimensional second-order stochastic processes. (English) Zbl 1100.65010 J. Comput. Phys. 217, No. 1, 82-99 (2006). MSC: 65C30 60G12 PDF BibTeX XML Cite \textit{C.-H. Su} and \textit{D. Lucor}, J. Comput. Phys. 217, No. 1, 82--99 (2006; Zbl 1100.65010) Full Text: DOI OpenURL
Li, Xianggui; Chan, C. K.; Wang, Song The finite element method with weighted basis functions for singularly perturbed convection-diffusion problems. (English) Zbl 1083.65106 J. Comput. Phys. 195, No. 2, 773-789 (2004). Reviewer: Ramaz Botchorishvili (Tbilisi) MSC: 65N30 65L60 35J25 34B05 35B25 34E15 PDF BibTeX XML Cite \textit{X. Li} et al., J. Comput. Phys. 195, No. 2, 773--789 (2004; Zbl 1083.65106) Full Text: DOI OpenURL
Engquist, Björn; Runborg, Olof; Tornberg, Anna-Karin High-frequency wave propagation by the segment projection method. (English) Zbl 0996.78001 J. Comput. Phys. 178, No. 2, 373-390 (2002). MSC: 78-04 78A05 78M25 65M99 35L20 35Q60 78A50 PDF BibTeX XML Cite \textit{B. Engquist} et al., J. Comput. Phys. 178, No. 2, 373--390 (2002; Zbl 0996.78001) Full Text: DOI Link OpenURL
Jamieson, M. J. On an eighth order formula for solving a Schrödinger equation. (English) Zbl 0921.65056 J. Comput. Phys. 149, No. 1, 194-197 (1999). Reviewer: D.Petcu (Timişoara) MSC: 65L10 34L40 34B05 PDF BibTeX XML Cite \textit{M. J. Jamieson}, J. Comput. Phys. 149, No. 1, 194--197 (1999; Zbl 0921.65056) Full Text: DOI OpenURL
Chen, Wen; Zhong, Tingxiu; Shu, Chang A Lyapunov formulation for efficient solution of the Poisson and convection-diffusion equations by the differential quadrature method. (English) Zbl 0933.65131 J. Comput. Phys. 141, No. 1, 78-84 (1998). Reviewer: Michel Bernadou (Le Chesnay) MSC: 65N30 35J05 35J25 PDF BibTeX XML Cite \textit{W. Chen} et al., J. Comput. Phys. 141, No. 1, 78--84 (1998; Zbl 0933.65131) Full Text: DOI OpenURL
Machiels, L.; Deville, M. O. Numerical simulation of randomly forced turbulent flows. (English) Zbl 0926.76086 J. Comput. Phys. 145, No. 1, 246-279 (1998). MSC: 76M22 76M20 76M35 76F10 PDF BibTeX XML Cite \textit{L. Machiels} and \textit{M. O. Deville}, J. Comput. Phys. 145, No. 1, 246--279 (1998; Zbl 0926.76086) Full Text: DOI OpenURL
Simos, T. E.; Tsitouras, Ch. A \(P\)-stable eighth-order method for the numerical integration of periodic initial-value problems. (English) Zbl 0870.65072 J. Comput. Phys. 130, No. 1, 123-128 (1997). Reviewer: R.Scherer (Karlsruhe) MSC: 65L20 65L05 34A34 65L06 34C25 PDF BibTeX XML Cite \textit{T. E. Simos} and \textit{Ch. Tsitouras}, J. Comput. Phys. 130, No. 1, 123--128 (1997; Zbl 0870.65072) Full Text: DOI OpenURL
Hwang, Yao-Hsin Higher-order exponential difference schemes for the computations of the steady convection-diffusion equation. (English) Zbl 0870.65090 J. Comput. Phys. 129, No. 1, 134-159 (1996). Reviewer: B.Burrows (Stafford) MSC: 65N06 35J25 34B05 65L12 65L10 PDF BibTeX XML Cite \textit{Y.-H. Hwang}, J. Comput. Phys. 129, No. 1, 134--159 (1996; Zbl 0870.65090) Full Text: DOI OpenURL
Lyard, F.; Genco, M. L. Optimisation methods for bathymetry and open boundary conditions in a finite element model of ocean tides. (English) Zbl 0810.76038 J. Comput. Phys. 114, No. 2, 234-256 (1994). MSC: 76M10 76B15 86A05 PDF BibTeX XML Cite \textit{F. Lyard} and \textit{M. L. Genco}, J. Comput. Phys. 114, No. 2, 234--256 (1994; Zbl 0810.76038) Full Text: DOI OpenURL
de Frutos, J.; Sanz-Serna, J. M. An easily implementable fourth-order method for the time integration of wave problems. (English) Zbl 0761.65074 J. Comput. Phys. 103, No. 1, 160-168 (1992). Reviewer: Qin Mengzhao (Beijing) MSC: 65M20 65L05 65M12 65L20 35Q53 34L05 35L60 PDF BibTeX XML Cite \textit{J. de Frutos} and \textit{J. M. Sanz-Serna}, J. Comput. Phys. 103, No. 1, 160--168 (1992; Zbl 0761.65074) Full Text: DOI OpenURL
Roth, M.; Lemaire, J.; Misson, A. An iterative method to solve the nonlinear Poisson equation in the case of plasma tangential discontinuities. (English) Zbl 0682.76101 J. Comput. Phys. 86, No. 2, 466-486 (1990). MSC: 76X05 76M99 PDF BibTeX XML Cite \textit{M. Roth} et al., J. Comput. Phys. 86, No. 2, 466--486 (1990; Zbl 0682.76101) Full Text: DOI OpenURL
Wei, Musheng; Majda, George; Strauss, Walter Numerical computation of the scattering frequencies for acoustic wave equations. (English) Zbl 0643.65080 J. Comput. Phys. 75, No. 2, 345-358 (1988). Reviewer: W.Ames MSC: 65Z05 76Q05 35Q99 78A45 35L15 PDF BibTeX XML Cite \textit{M. Wei} et al., J. Comput. Phys. 75, No. 2, 345--358 (1988; Zbl 0643.65080) Full Text: DOI OpenURL
St. Mary, Donald F.; Lee, Ding; Botseas, George A modified wide angle parabolic wave equation. (English) Zbl 0616.65093 J. Comput. Phys. 71, 304-315 (1987). MSC: 65N12 35K20 81Q05 35J05 PDF BibTeX XML Cite \textit{D. F. St. Mary} et al., J. Comput. Phys. 71, 304--315 (1987; Zbl 0616.65093) Full Text: DOI OpenURL
Leroy, J. P.; Wallace, R. Extension of the renormalized Numerov method for second-order differential eigenvalue equations. (English) Zbl 0606.65060 J. Comput. Phys. 67, 239-252 (1986). Reviewer: M.Calvo MSC: 65L15 81Q05 34L99 PDF BibTeX XML Cite \textit{J. P. Leroy} and \textit{R. Wallace}, J. Comput. Phys. 67, 239--252 (1986; Zbl 0606.65060) Full Text: DOI OpenURL
Wu, H. M.; Overman, E. A. II; Zabusky, N. J. Steady-state solutions of the Euler equations in two dimensions: Rotating and translating V-states with limiting cases. I: Numerical algorithms and results. (English) Zbl 0524.76029 J. Comput. Phys. 53, 42-71 (1984). MSC: 76B47 76M99 PDF BibTeX XML Cite \textit{H. M. Wu} et al., J. Comput. Phys. 53, 42--71 (1984; Zbl 0524.76029) Full Text: DOI OpenURL
Booth, Thomas E. Exact Monte Carlo solution of elliptic partial differential equations. (English) Zbl 0451.65085 J. Comput. Phys. 39, 396-404 (1981). MSC: 65N99 60G50 65C05 35J05 35J25 PDF BibTeX XML Cite \textit{T. E. Booth}, J. Comput. Phys. 39, 396--404 (1981; Zbl 0451.65085) Full Text: DOI OpenURL
Scott, T. Computation of scattering functions in second-order many-body theory. (English) Zbl 0437.65106 J. Comput. Phys. 33, 369-381 (1979). MSC: 65R20 81U10 45K05 PDF BibTeX XML Cite \textit{T. Scott}, J. Comput. Phys. 33, 369--381 (1979; Zbl 0437.65106) Full Text: DOI OpenURL
Shubin, Gregory; Cheng, Sin-I Gasdynamic modeling and computational accuracy. (English) Zbl 0419.76055 J. Comput. Phys. 32, 39-55 (1979). MSC: 76N15 76D05 65Z05 65N99 PDF BibTeX XML Cite \textit{G. Shubin} and \textit{S.-I Cheng}, J. Comput. Phys. 32, 39--55 (1979; Zbl 0419.76055) Full Text: DOI OpenURL