Li, Jin; Li, Zhilin; Pan, Kejia Accurate derivatives approximations and applications to some elliptic PDEs using HOC methods. (English) Zbl 07748283 Appl. Math. Comput. 459, Article ID 128265, 17 p. (2023). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Comput. 459, Article ID 128265, 17 p. (2023; Zbl 07748283) Full Text: DOI
Falcone, Maurizio; Kirsten, Gerhard; Saluzzi, Luca Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD. (English) Zbl 1511.49017 Appl. Math. Comput. 442, Article ID 127722, 17 p. (2023). MSC: 49L20 35Q30 49M41 65K05 76D05 PDFBibTeX XMLCite \textit{M. Falcone} et al., Appl. Math. Comput. 442, Article ID 127722, 17 p. (2023; Zbl 1511.49017) Full Text: DOI arXiv
Mitchell, S. L.; Vynnycky, M. An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuities in boundary conditions. (English) Zbl 1508.65109 Appl. Math. Comput. 400, Article ID 125979, 17 p. (2021); corrigendum ibid. 442, Article ID 127744, 1 p. (2023). MSC: 65M06 35K57 65M12 PDFBibTeX XMLCite \textit{S. L. Mitchell} and \textit{M. Vynnycky}, Appl. Math. Comput. 400, Article ID 125979, 17 p. (2021; Zbl 1508.65109) Full Text: DOI
Yeganeh, Solmaz Mousavi; Farzi, Javad A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws. (English) Zbl 1508.65115 Appl. Math. Comput. 399, Article ID 126013, 13 p. (2021). MSC: 65M25 35L65 PDFBibTeX XMLCite \textit{S. M. Yeganeh} and \textit{J. Farzi}, Appl. Math. Comput. 399, Article ID 126013, 13 p. (2021; Zbl 1508.65115) Full Text: DOI
Ahmed Ullah, Sheik; Zhao, Shan Pseudo-transient ghost fluid methods for the Poisson-Boltzmann equation with a two-component regularization. (English) Zbl 1460.92087 Appl. Math. Comput. 380, Article ID 125267, 23 p. (2020). MSC: 92C45 65N99 35Q92 PDFBibTeX XMLCite \textit{S. Ahmed Ullah} and \textit{S. Zhao}, Appl. Math. Comput. 380, Article ID 125267, 23 p. (2020; Zbl 1460.92087) Full Text: DOI
Ma, Guiyuan; Zhu, Song-Ping; Chen, Wenting Pricing European call options under a hard-to-borrow stock model. (English) Zbl 1429.91325 Appl. Math. Comput. 357, 243-257 (2019). MSC: 91G20 65M06 91G60 PDFBibTeX XMLCite \textit{G. Ma} et al., Appl. Math. Comput. 357, 243--257 (2019; Zbl 1429.91325) Full Text: DOI Link
Kong, Desong; Xu, Yufeng; Zheng, Zhoushun A hybrid numerical method for the KdV equation by finite difference and sinc collocation method. (English) Zbl 1429.65245 Appl. Math. Comput. 355, 61-72 (2019). MSC: 65M70 35Q53 65M12 PDFBibTeX XMLCite \textit{D. Kong} et al., Appl. Math. Comput. 355, 61--72 (2019; Zbl 1429.65245) Full Text: DOI
Guo, Jiebin; He, Chuanjiang; Zhang, Xiaoting Nonlinear edge-preserving diffusion with adaptive source for document images binarization. (English) Zbl 1428.94025 Appl. Math. Comput. 351, 8-22 (2019). MSC: 94A08 68U10 PDFBibTeX XMLCite \textit{J. Guo} et al., Appl. Math. Comput. 351, 8--22 (2019; Zbl 1428.94025) Full Text: DOI
Martín-Vaquero, Jesús; Sajavičius, Svajūnas The two-level finite difference schemes for the heat equation with nonlocal initial condition. (English) Zbl 1429.65191 Appl. Math. Comput. 342, 166-177 (2019). MSC: 65M06 65M12 35K20 PDFBibTeX XMLCite \textit{J. Martín-Vaquero} and \textit{S. Sajavičius}, Appl. Math. Comput. 342, 166--177 (2019; Zbl 1429.65191) Full Text: DOI
Yao, Changhui; Zhou, Yuzhen; Jia, Shanghui A finite element method for Maxwell polynomial chaos Debye model. (English) Zbl 1428.78033 Appl. Math. Comput. 325, 59-68 (2018). MSC: 78M10 65M60 78A25 PDFBibTeX XMLCite \textit{C. Yao} et al., Appl. Math. Comput. 325, 59--68 (2018; Zbl 1428.78033) Full Text: DOI
Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. (English) Zbl 1426.76449 Appl. Math. Comput. 314, 408-421 (2017). MSC: 76M20 65M06 12H10 13P10 35Q30 76D05 13P25 PDFBibTeX XMLCite \textit{P. Amodio} et al., Appl. Math. Comput. 314, 408--421 (2017; Zbl 1426.76449) Full Text: DOI
Henderson, Nélio; Pena, Luciana The inverse distance weighted interpolation applied to a particular form of the path tubes method: theory and computation for advection in incompressible flow. (English) Zbl 1411.76099 Appl. Math. Comput. 304, 114-135 (2017). MSC: 76M20 65M06 65M12 76Bxx PDFBibTeX XMLCite \textit{N. Henderson} and \textit{L. Pena}, Appl. Math. Comput. 304, 114--135 (2017; Zbl 1411.76099) Full Text: DOI
Li, Chuan; Zhao, Shan A matched Peaceman-Rachford ADI method for solving parabolic interface problems. (English) Zbl 1411.65112 Appl. Math. Comput. 299, 28-44 (2017). MSC: 65M06 35K20 65M12 PDFBibTeX XMLCite \textit{C. Li} and \textit{S. Zhao}, Appl. Math. Comput. 299, 28--44 (2017; Zbl 1411.65112) Full Text: DOI
Gao, Ting; Duan, Jinqiao; Li, Xiaofan Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions. (English) Zbl 1410.82017 Appl. Math. Comput. 278, 1-20 (2016). MSC: 82C31 82C80 60G17 60G52 60H10 65C30 65C50 PDFBibTeX XMLCite \textit{T. Gao} et al., Appl. Math. Comput. 278, 1--20 (2016; Zbl 1410.82017) Full Text: DOI arXiv
Li, Wei; Li, Can Second-order explicit difference schemes for the space fractional advection diffusion equation. (English) Zbl 1339.65129 Appl. Math. Comput. 257, 446-457 (2015). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{W. Li} and \textit{C. Li}, Appl. Math. Comput. 257, 446--457 (2015; Zbl 1339.65129) Full Text: DOI
Casabán, M.-C.; Company, R.; Jódar, L. Closed form numerical solutions of variable coefficient linear second-order elliptic problems. (English) Zbl 1337.65135 Appl. Math. Comput. 238, 266-280 (2014). MSC: 65N06 35J15 PDFBibTeX XMLCite \textit{M. C. Casabán} et al., Appl. Math. Comput. 238, 266--280 (2014; Zbl 1337.65135) Full Text: DOI Link
Botelho, Fabio Existence of solution for the Ginzburg-Landau system, a related optimal control problem and its computation by the generalized method of lines. (English) Zbl 1292.35287 Appl. Math. Comput. 218, No. 24, 11976-11989 (2012). Reviewer: Baasansuren Jadamba (Rochester) MSC: 35Q56 49J20 35A01 82D55 65N40 PDFBibTeX XMLCite \textit{F. Botelho}, Appl. Math. Comput. 218, No. 24, 11976--11989 (2012; Zbl 1292.35287) Full Text: DOI
Martín-Vaquero, J.; Queiruga-Dios, A.; Encinas, A. H. Numerical algorithms for diffusion-reaction problems with non-classical conditions. (English) Zbl 1244.65126 Appl. Math. Comput. 218, No. 9, 5487-5495 (2012). MSC: 65M06 35K20 35K57 PDFBibTeX XMLCite \textit{J. Martín-Vaquero} et al., Appl. Math. Comput. 218, No. 9, 5487--5495 (2012; Zbl 1244.65126) Full Text: DOI
Mitchell, S. L.; Vynnycky, M.; Gusev, I. G.; Sazhin, S. S. An accurate numerical solution for the transient heating of an evaporating spherical droplet. (English) Zbl 1223.80009 Appl. Math. Comput. 217, No. 22, 9219-9233 (2011). Reviewer: B. D. Vujanović (Novi Sad) MSC: 80A22 80M20 PDFBibTeX XMLCite \textit{S. L. Mitchell} et al., Appl. Math. Comput. 217, No. 22, 9219--9233 (2011; Zbl 1223.80009) Full Text: DOI
Mitchell, S. L.; Vynnycky, M. Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems. (English) Zbl 1177.80078 Appl. Math. Comput. 215, No. 4, 1609-1621 (2009). MSC: 80A22 80M20 PDFBibTeX XMLCite \textit{S. L. Mitchell} and \textit{M. Vynnycky}, Appl. Math. Comput. 215, No. 4, 1609--1621 (2009; Zbl 1177.80078) Full Text: DOI
Aloy, R.; Casabán, M.-C.; Jódar, L. A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme. (English) Zbl 1175.65092 Appl. Math. Comput. 215, No. 1, 333-343 (2009). MSC: 65M06 65M12 35L15 PDFBibTeX XMLCite \textit{R. Aloy} et al., Appl. Math. Comput. 215, No. 1, 333--343 (2009; Zbl 1175.65092) Full Text: DOI
Bazán, F. S. V. Chebyshev pseudospectral method for computing numerical solution of convection-diffusion equation. (English) Zbl 1153.65361 Appl. Math. Comput. 200, No. 2, 537-546 (2008). MSC: 65M70 PDFBibTeX XMLCite \textit{F. S. V. Bazán}, Appl. Math. Comput. 200, No. 2, 537--546 (2008; Zbl 1153.65361) Full Text: DOI
McCartin, Brian J.; Causley, Matthew F. Angled derivative approximation of the hyperbolic heat conduction equations. (English) Zbl 1107.65083 Appl. Math. Comput. 182, No. 2, 1581-1607 (2006). MSC: 65M25 35L45 65M12 PDFBibTeX XMLCite \textit{B. J. McCartin} and \textit{M. F. Causley}, Appl. Math. Comput. 182, No. 2, 1581--1607 (2006; Zbl 1107.65083) Full Text: DOI