Yang, Xiaochen; Li, Mengna; Yang, Zhanwen; Zhang, Chiping Numerical analysis of a linearly backward Euler method with truncated Wiener process for a stochastic SIS model. (English) Zbl 07684718 Numer. Algorithms 93, No. 2, 563-579 (2023). MSC: 65-XX 60H10 65C30 PDF BibTeX XML Cite \textit{X. Yang} et al., Numer. Algorithms 93, No. 2, 563--579 (2023; Zbl 07684718) Full Text: DOI OpenURL
Li, Min; Dai, Xinjie; Huang, Chengming Fast Euler-Maruyama method for weakly singular stochastic Volterra integral equations with variable exponent. (English) Zbl 07669775 Numer. Algorithms 92, No. 4, 2433-2455 (2023). MSC: 65C30 65R20 65C05 PDF BibTeX XML Cite \textit{M. Li} et al., Numer. Algorithms 92, No. 4, 2433--2455 (2023; Zbl 07669775) Full Text: DOI OpenURL
Czyżewska, Natalia; Morkisz, Paweł M.; Przybyłowicz, Paweł Approximation of solutions of DDEs under nonstandard assumptions via Euler scheme. (English) Zbl 07621834 Numer. Algorithms 91, No. 4, 1829-1854 (2022). MSC: 65L05 65L70 PDF BibTeX XML Cite \textit{N. Czyżewska} et al., Numer. Algorithms 91, No. 4, 1829--1854 (2022; Zbl 07621834) Full Text: DOI arXiv OpenURL
Bochacik, Tomasz; Przybyłowicz, Paweł On the randomized Euler schemes for ODEs under inexact information. (English) Zbl 1504.65003 Numer. Algorithms 91, No. 3, 1205-1229 (2022). MSC: 65C05 65C20 65L05 65L20 PDF BibTeX XML Cite \textit{T. Bochacik} and \textit{P. Przybyłowicz}, Numer. Algorithms 91, No. 3, 1205--1229 (2022; Zbl 1504.65003) Full Text: DOI arXiv OpenURL
Wang, Yifei; Huang, Jin; Zhang, Li; Deng, Ting A combination method for solving multi-dimensional systems of Volterra integral equations with weakly singular kernels. (English) Zbl 1501.65160 Numer. Algorithms 91, No. 2, 473-504 (2022). MSC: 65R20 11B68 45G15 45D05 PDF BibTeX XML Cite \textit{Y. Wang} et al., Numer. Algorithms 91, No. 2, 473--504 (2022; Zbl 1501.65160) Full Text: DOI OpenURL
Pang, Gang; Ji, Songsong A fast stable accurate artificial boundary condition for the linearized Green-Naghdi system. (English) Zbl 1502.65069 Numer. Algorithms 90, No. 4, 1437-1463 (2022). MSC: 65M06 65N06 65D30 65M12 65M15 41A25 35Q31 PDF BibTeX XML Cite \textit{G. Pang} and \textit{S. Ji}, Numer. Algorithms 90, No. 4, 1437--1463 (2022; Zbl 1502.65069) Full Text: DOI OpenURL
Mishra, Soumyarani; Pany, Ambit K. Completely discrete schemes for 2D Sobolev equations with Burgers’ type nonlinearity. (English) Zbl 07540325 Numer. Algorithms 90, No. 3, 963-987 (2022). MSC: 65Mxx PDF BibTeX XML Cite \textit{S. Mishra} and \textit{A. K. Pany}, Numer. Algorithms 90, No. 3, 963--987 (2022; Zbl 07540325) Full Text: DOI OpenURL
Suo, Yongqiang; Yuan, Chenggui; Zhang, Shao-Qin Weak convergence of Euler scheme for SDEs with low regular drift. (English) Zbl 1496.65011 Numer. Algorithms 90, No. 2, 731-747 (2022). MSC: 65C30 60H10 60H35 PDF BibTeX XML Cite \textit{Y. Suo} et al., Numer. Algorithms 90, No. 2, 731--747 (2022; Zbl 1496.65011) Full Text: DOI arXiv OpenURL
Song, Guoting; Hu, Junhao; Gao, Shuaibin; Li, Xiaoyue The strong convergence and stability of explicit approximations for nonlinear stochastic delay differential equations. (English) Zbl 1481.65023 Numer. Algorithms 89, No. 2, 855-883 (2022). MSC: 65C30 34K50 60H10 60H35 65L20 PDF BibTeX XML Cite \textit{G. Song} et al., Numer. Algorithms 89, No. 2, 855--883 (2022; Zbl 1481.65023) Full Text: DOI arXiv OpenURL
Kelly, Cónall; Lord, Gabriel J. Adaptive Euler methods for stochastic systems with non-globally Lipschitz coefficients. (English) Zbl 1480.60182 Numer. Algorithms 89, No. 2, 721-747 (2022). MSC: 60H15 60H35 65C30 91B70 PDF BibTeX XML Cite \textit{C. Kelly} and \textit{G. J. Lord}, Numer. Algorithms 89, No. 2, 721--747 (2022; Zbl 1480.60182) Full Text: DOI arXiv OpenURL
Li, Qingtao; Du, Guangzhi Local and parallel finite element methods based on two-grid discretizations for the nonstationary Navier-Stokes equations. (English) Zbl 1502.65103 Numer. Algorithms 88, No. 4, 1915-1936 (2021). MSC: 65M55 65M60 65M06 65N30 65M15 65Y05 35B45 76D05 35Q30 PDF BibTeX XML Cite \textit{Q. Li} and \textit{G. Du}, Numer. Algorithms 88, No. 4, 1915--1936 (2021; Zbl 1502.65103) Full Text: DOI OpenURL
Yang, Guoguo; Burrage, Kevin; Komori, Yoshio; Burrage, Pamela; Ding, Xiaohua A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations. (English) Zbl 1482.65013 Numer. Algorithms 88, No. 4, 1641-1665 (2021). MSC: 65C30 60H10 PDF BibTeX XML Cite \textit{G. Yang} et al., Numer. Algorithms 88, No. 4, 1641--1665 (2021; Zbl 1482.65013) Full Text: DOI OpenURL
Gande, Naga Raju; Bhise, Ashlesha A. Modified third and fifth order WENO schemes for inviscid compressible flows. (English) Zbl 1471.76049 Numer. Algorithms 88, No. 1, 249-279 (2021). MSC: 76M12 76M20 76N15 76L05 PDF BibTeX XML Cite \textit{N. R. Gande} and \textit{A. A. Bhise}, Numer. Algorithms 88, No. 1, 249--279 (2021; Zbl 1471.76049) Full Text: DOI OpenURL
Zhao, Yuying; Wang, Xiaojie; Wang, Mengchao On the backward Euler method for a generalized Ait-Sahalia-type rate model with Poisson jumps. (English) Zbl 1489.65018 Numer. Algorithms 87, No. 3, 1321-1341 (2021). MSC: 65C30 60H35 PDF BibTeX XML Cite \textit{Y. Zhao} et al., Numer. Algorithms 87, No. 3, 1321--1341 (2021; Zbl 1489.65018) Full Text: DOI arXiv OpenURL
Malik, Avinash Adaptive step size numerical integration for stochastic differential equations with discontinuous drift and diffusion. (English) Zbl 1465.65007 Numer. Algorithms 87, No. 2, 849-872 (2021). MSC: 65C30 60H10 60H35 65L20 93E03 PDF BibTeX XML Cite \textit{A. Malik}, Numer. Algorithms 87, No. 2, 849--872 (2021; Zbl 1465.65007) Full Text: DOI OpenURL
Yang, Yun-Bo; Jiang, Yao-Lin Unconditional optimal error estimates of linearized backward Euler Galerkin FEMs for nonlinear Schrödinger-Helmholtz equations. (English) Zbl 1475.65135 Numer. Algorithms 86, No. 4, 1495-1522 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65M60 65M06 65N30 65N15 65N12 35Q55 35Q60 PDF BibTeX XML Cite \textit{Y.-B. Yang} and \textit{Y.-L. Jiang}, Numer. Algorithms 86, No. 4, 1495--1522 (2021; Zbl 1475.65135) Full Text: DOI OpenURL
Huang, Xing; Yang, Fen-Fen Distribution-dependent SDEs with Hölder continuous drift and \(\alpha\)-stable noise. (English) Zbl 1459.65011 Numer. Algorithms 86, No. 2, 813-831 (2021). MSC: 65C30 60H35 60H10 PDF BibTeX XML Cite \textit{X. Huang} and \textit{F.-F. Yang}, Numer. Algorithms 86, No. 2, 813--831 (2021; Zbl 1459.65011) Full Text: DOI arXiv OpenURL
Milošević, Marija Divergence of the backward Euler method for ordinary stochastic differential equations. (English) Zbl 1433.60039 Numer. Algorithms 82, No. 4, 1395-1407 (2019). MSC: 60H10 65C30 PDF BibTeX XML Cite \textit{M. Milošević}, Numer. Algorithms 82, No. 4, 1395--1407 (2019; Zbl 1433.60039) Full Text: DOI OpenURL
Guo, Qian; Mao, Xuerong; Yue, Rongxian The truncated Euler-Maruyama method for stochastic differential delay equations. (English) Zbl 1414.60043 Numer. Algorithms 78, No. 2, 599-624 (2018). MSC: 60H10 60J65 PDF BibTeX XML Cite \textit{Q. Guo} et al., Numer. Algorithms 78, No. 2, 599--624 (2018; Zbl 1414.60043) Full Text: DOI arXiv OpenURL
Clavero, C.; Jorge, J. C. A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction. (English) Zbl 1375.65111 Numer. Algorithms 75, No. 3, 809-826 (2017). MSC: 65M06 35K20 35B25 65M50 65M12 PDF BibTeX XML Cite \textit{C. Clavero} and \textit{J. C. Jorge}, Numer. Algorithms 75, No. 3, 809--826 (2017; Zbl 1375.65111) Full Text: DOI Link OpenURL
Bansal, Komal; Sharma, Kapil K. Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments. (English) Zbl 1380.65143 Numer. Algorithms 75, No. 1, 113-145 (2017). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 65M06 65M12 35K20 35B25 35R10 65M15 PDF BibTeX XML Cite \textit{K. Bansal} and \textit{K. K. Sharma}, Numer. Algorithms 75, No. 1, 113--145 (2017; Zbl 1380.65143) Full Text: DOI OpenURL
Amat, Sergio; Candela, Vicente F. On the convergence of a local third order shock capturing method for hyperbolic conservation laws. (English) Zbl 1368.65157 Numer. Algorithms 74, No. 4, 1011-1028 (2017). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 65M06 35L65 76N15 76M20 PDF BibTeX XML Cite \textit{S. Amat} and \textit{V. F. Candela}, Numer. Algorithms 74, No. 4, 1011--1028 (2017; Zbl 1368.65157) Full Text: DOI OpenURL
Liu, Wei; Mao, Xuerong Almost sure stability of the Euler-Maruyama method with random variable stepsize for stochastic differential equations. (English) Zbl 1371.65010 Numer. Algorithms 74, No. 2, 573-592 (2017). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 34F05 60H35 PDF BibTeX XML Cite \textit{W. Liu} and \textit{X. Mao}, Numer. Algorithms 74, No. 2, 573--592 (2017; Zbl 1371.65010) Full Text: DOI OpenURL
Yang, Xu; Wang, Xiaojie A transformed jump-adapted backward Euler method for jump-extended CIR and CEV models. (English) Zbl 1359.65016 Numer. Algorithms 74, No. 1, 39-57 (2017). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 65L20 60H35 34F05 PDF BibTeX XML Cite \textit{X. Yang} and \textit{X. Wang}, Numer. Algorithms 74, No. 1, 39--57 (2017; Zbl 1359.65016) Full Text: DOI OpenURL
Ghasemi, M. On using cubic spline for the solution of problems in calculus of variations. (English) Zbl 1354.65132 Numer. Algorithms 73, No. 3, 685-710 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65K10 49J15 49M25 PDF BibTeX XML Cite \textit{M. Ghasemi}, Numer. Algorithms 73, No. 3, 685--710 (2016; Zbl 1354.65132) Full Text: DOI OpenURL
Przybyłowicz, Paweł Optimal global approximation of stochastic differential equations with additive Poisson noise. (English) Zbl 1354.65014 Numer. Algorithms 73, No. 2, 323-348 (2016). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 60H35 34F05 65L05 65L70 65L50 PDF BibTeX XML Cite \textit{P. Przybyłowicz}, Numer. Algorithms 73, No. 2, 323--348 (2016; Zbl 1354.65014) Full Text: DOI OpenURL
Cen, Zhongdi; Xu, Aimin; Le, Anbo On the hybrid finite difference scheme for a singularly perturbed Riccati equation. (English) Zbl 1335.65061 Numer. Algorithms 71, No. 2, 417-436 (2016). Reviewer: Srinivasan Natesan (Assam) MSC: 65L10 65L12 65L50 34A34 34E15 65L20 65L70 PDF BibTeX XML Cite \textit{Z. Cen} et al., Numer. Algorithms 71, No. 2, 417--436 (2016; Zbl 1335.65061) Full Text: DOI OpenURL
Kumar, Sunil; Kumar, Mukesh Analysis of some numerical methods on layer adapted meshes for singularly perturbed quasilinear systems. (English) Zbl 1335.65062 Numer. Algorithms 71, No. 1, 139-150 (2016). Reviewer: Srinivasan Natesan (Assam) MSC: 65L11 65L05 65L12 65L70 34A34 34E15 65L50 65L20 PDF BibTeX XML Cite \textit{S. Kumar} and \textit{M. Kumar}, Numer. Algorithms 71, No. 1, 139--150 (2016; Zbl 1335.65062) Full Text: DOI OpenURL
Akhtari, B.; Babolian, E.; Foroush Bastani, A. An adaptive weak continuous Euler-Maruyama method for stochastic delay differential equations. (English) Zbl 1325.65014 Numer. Algorithms 69, No. 1, 29-57 (2015); erratum ibid. 69, No. 2, 471-472 (2015). Reviewer: Kevin Burrage (Brisbane) MSC: 65C30 34K50 60H10 60H35 65L70 PDF BibTeX XML Cite \textit{B. Akhtari} et al., Numer. Algorithms 69, No. 1, 29--57 (2015; Zbl 1325.65014) Full Text: DOI OpenURL
Majidian, Hassan Modified Euler’s method with a graded mesh for a class of Volterra integral equations with weakly singular kernel. (English) Zbl 1304.65272 Numer. Algorithms 67, No. 2, 405-422 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45D05 45E10 PDF BibTeX XML Cite \textit{H. Majidian}, Numer. Algorithms 67, No. 2, 405--422 (2014; Zbl 1304.65272) Full Text: DOI OpenURL
Jebelean, Petru; Popa, Constantin Numerical solutions to singular \(\phi\)-Laplacian with Dirichlet boundary conditions. (English) Zbl 1323.65084 Numer. Algorithms 67, No. 2, 305-318 (2014). Reviewer: M. Plum (Karlsruhe) MSC: 65L10 34L30 34B15 65L06 PDF BibTeX XML Cite \textit{P. Jebelean} and \textit{C. Popa}, Numer. Algorithms 67, No. 2, 305--318 (2014; Zbl 1323.65084) Full Text: DOI OpenURL
Yu, Yan; Yu, Bo; Dong, Bo Robust continuation methods for tracing solution curves of parameterized systems. (English) Zbl 1305.65145 Numer. Algorithms 65, No. 4, 825-841 (2014). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 65H20 PDF BibTeX XML Cite \textit{Y. Yu} et al., Numer. Algorithms 65, No. 4, 825--841 (2014; Zbl 1305.65145) Full Text: DOI OpenURL
Rashidinia, J.; Barati, A.; Nabati, M. Application of sinc-Galerkin method to singularly perturbed parabolic convection-diffusion problems. (English) Zbl 1301.65108 Numer. Algorithms 66, No. 3, 643-662 (2014). Reviewer: Srinivasan Natesan (Assam) MSC: 65M60 65M12 35K20 35B25 65M20 PDF BibTeX XML Cite \textit{J. Rashidinia} et al., Numer. Algorithms 66, No. 3, 643--662 (2014; Zbl 1301.65108) Full Text: DOI OpenURL
Rada, Lavdie; Chen, Ke A variational model and its numerical solution for local, selective and automatic segmentation. (English) Zbl 1291.62122 Numer. Algorithms 66, No. 2, 399-430 (2014). MSC: 62H35 65N22 68U10 74G65 74G75 PDF BibTeX XML Cite \textit{L. Rada} and \textit{K. Chen}, Numer. Algorithms 66, No. 2, 399--430 (2014; Zbl 1291.62122) Full Text: DOI OpenURL
Huang, Jianfei; Tang, Yifa; Vázquez, Luis; Yang, Jiye Two finite difference schemes for time fractional diffusion-wave equation. (English) Zbl 1284.65103 Numer. Algorithms 64, No. 4, 707-720 (2013). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M06 35L20 35R11 65R20 45K05 PDF BibTeX XML Cite \textit{J. Huang} et al., Numer. Algorithms 64, No. 4, 707--720 (2013; Zbl 1284.65103) Full Text: DOI OpenURL
Liu, Yuanyuan; Zou, Yongkui Numerical computation of connecting orbits on a manifold. (English) Zbl 1270.65076 Numer. Algorithms 61, No. 3, 429-464 (2012). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65P30 37M20 37C29 65L10 65L80 37G15 65L06 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{Y. Zou}, Numer. Algorithms 61, No. 3, 429--464 (2012; Zbl 1270.65076) Full Text: DOI OpenURL
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J. Efficient path tracking methods. (English) Zbl 1230.65059 Numer. Algorithms 58, No. 4, 451-459 (2011). MSC: 65H20 14Q15 65L06 65H04 PDF BibTeX XML Cite \textit{D. J. Bates} et al., Numer. Algorithms 58, No. 4, 451--459 (2011; Zbl 1230.65059) Full Text: DOI OpenURL
Mukherjee, Kaushik; Natesan, Srinivasan \(\varepsilon\)-uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with interior layers. (English) Zbl 1227.65083 Numer. Algorithms 58, No. 1, 103-141 (2011). Reviewer: Yajuan Sun (Beijing) MSC: 65M15 65M06 65M12 35K20 35R05 35B25 65M50 PDF BibTeX XML Cite \textit{K. Mukherjee} and \textit{S. Natesan}, Numer. Algorithms 58, No. 1, 103--141 (2011; Zbl 1227.65083) Full Text: DOI OpenURL
Shang, Yueqiang; Wang, Kun Local and parallel finite element algorithms based on two-grid discretizations for the transient Stokes equations. (English) Zbl 1352.76068 Numer. Algorithms 54, No. 2, 195-218 (2010). MSC: 76M10 76D07 65M60 65M15 PDF BibTeX XML Cite \textit{Y. Shang} and \textit{K. Wang}, Numer. Algorithms 54, No. 2, 195--218 (2010; Zbl 1352.76068) Full Text: DOI OpenURL
Huang, Zhengda; Ma, Guochun On the local convergence of a family of Euler-halley type iterations with a parameter. (English) Zbl 1181.65081 Numer. Algorithms 52, No. 3, 419-433 (2009). Reviewer: Iulian Coroian (Baia Mare) MSC: 65J15 47J25 PDF BibTeX XML Cite \textit{Z. Huang} and \textit{G. Ma}, Numer. Algorithms 52, No. 3, 419--433 (2009; Zbl 1181.65081) Full Text: DOI OpenURL
Amiraliyev, G. M.; Duru, Hakki; Amiraliyeva, I. G. A parameter-uniform numerical method for a Sobolev problem with initial layer. (English) Zbl 1125.65077 Numer. Algorithms 44, No. 2, 185-203 (2007). Reviewer: Othmar Koch (Baden) MSC: 65M06 65M12 65M50 35K15 35B25 PDF BibTeX XML Cite \textit{G. M. Amiraliyev} et al., Numer. Algorithms 44, No. 2, 185--203 (2007; Zbl 1125.65077) Full Text: DOI OpenURL
Díaz Calle, Jorge L.; Devloo, Philippe R. B.; Gomes, Sônia M. Wavelets and adaptive grids for the discontinuous Galerkin method. (English) Zbl 1068.65118 Numer. Algorithms 39, No. 1-3, 143-154 (2005). MSC: 65M60 35L65 65T60 65M15 65M50 PDF BibTeX XML Cite \textit{J. L. Díaz Calle} et al., Numer. Algorithms 39, No. 1--3, 143--154 (2005; Zbl 1068.65118) Full Text: DOI OpenURL
Chehab, J. P.; Costa, B. Multiparameter schemes for evolutionary equations. (English) Zbl 1035.65105 Numer. Algorithms 34, No. 2-4, 245-257 (2003). MSC: 65M60 65M12 35K55 65M06 PDF BibTeX XML Cite \textit{J. P. Chehab} and \textit{B. Costa}, Numer. Algorithms 34, No. 2--4, 245--257 (2003; Zbl 1035.65105) Full Text: DOI OpenURL
Emmel, L.; Kaber, S. M.; Maday, Y. Padé–Jacobi filtering for spectral approximations of discontinuous solutions. (English) Zbl 1033.65089 Numer. Algorithms 33, No. 1-4, 251-264 (2003). Reviewer: Vit Dolejsi (Praha) MSC: 65M70 76M22 35L65 76N15 PDF BibTeX XML Cite \textit{L. Emmel} et al., Numer. Algorithms 33, No. 1--4, 251--264 (2003; Zbl 1033.65089) Full Text: DOI OpenURL
Spitaleri, Rosa Maria; March, Riccardo; Arena, Daniele Finite difference solution of Euler equations arising in variational image segmentation. (English) Zbl 0938.65109 Numer. Algorithms 21, No. 1-4, 353-365 (1999). Reviewer: P.K.Mahanti (Ranchi) MSC: 65M06 35L65 65M55 PDF BibTeX XML Cite \textit{R. M. Spitaleri} et al., Numer. Algorithms 21, No. 1--4, 353--365 (1999; Zbl 0938.65109) Full Text: DOI OpenURL
Calvetti, D.; Reichel, L. A block-Lanczos method for large continuation problems. (English) Zbl 0942.65054 Numer. Algorithms 21, No. 1-4, 109-118 (1999). Reviewer: Juan Pedro Milaszewicz (Buenos Aires) MSC: 65H17 65H20 PDF BibTeX XML Cite \textit{D. Calvetti} and \textit{L. Reichel}, Numer. Algorithms 21, No. 1--4, 109--118 (1999; Zbl 0942.65054) Full Text: DOI OpenURL
Tovbis, Alexander Homoclinic connections and numerical integration. (English) Zbl 0885.65082 Numer. Algorithms 14, No. 1-3, 261-267 (1997); erratum ibid. 17, No. 2-4, 355 (1998). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 65L05 34A34 34C37 65L20 PDF BibTeX XML Cite \textit{A. Tovbis}, Numer. Algorithms 14, No. 1--3, 261--267 (1997; Zbl 0885.65082) Full Text: DOI OpenURL
Ascher, Uri M. Stabilization of invariants of discretized differential systems. (English) Zbl 0911.65058 Numer. Algorithms 14, No. 1-3, 1-24 (1997). Reviewer: I.Coroian (Baia Mare) MSC: 65L05 34A09 34A34 65L20 PDF BibTeX XML Cite \textit{U. M. Ascher}, Numer. Algorithms 14, No. 1--3, 1--24 (1997; Zbl 0911.65058) Full Text: DOI OpenURL