Hachtel, Christoph; Bartel, Andreas; Günther, Michael; Sandu, Adrian Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1. (English) Zbl 1458.65103 J. Comput. Appl. Math. 387, Article ID 112499, 13 p. (2021). MSC: 65L80 65L05 PDF BibTeX XML Cite \textit{C. Hachtel} et al., J. Comput. Appl. Math. 387, Article ID 112499, 13 p. (2021; Zbl 1458.65103) Full Text: DOI OpenURL
Ngo, Hoang-Long; Taguchi, Dai Semi-implicit Euler-Maruyama approximation for noncolliding particle systems. (English) Zbl 1464.60083 Ann. Appl. Probab. 30, No. 2, 673-705 (2020). MSC: 60K35 60H35 PDF BibTeX XML Cite \textit{H.-L. Ngo} and \textit{D. Taguchi}, Ann. Appl. Probab. 30, No. 2, 673--705 (2020; Zbl 1464.60083) Full Text: DOI arXiv Euclid OpenURL
Milici, Constantin; Machado, José Tenreiro; Drăgănescu, Gheorghe Application of the Euler and Runge-Kutta generalized methods for FDE and symbolic packages in the analysis of some fractional attractors. (English) Zbl 07201330 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 159-170 (2020). MSC: 65-XX 34-XX PDF BibTeX XML Cite \textit{C. Milici} et al., Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 159--170 (2020; Zbl 07201330) Full Text: DOI OpenURL
Cibik, Aytekin; Eroglu, Fatma G.; Kaya, Songül Analysis of second order time filtered backward Euler method for MHD equations. (English) Zbl 1441.76135 J. Sci. Comput. 82, No. 2, Paper No. 38, 25 p. (2020). MSC: 76W05 76M10 PDF BibTeX XML Cite \textit{A. Cibik} et al., J. Sci. Comput. 82, No. 2, Paper No. 38, 25 p. (2020; Zbl 1441.76135) Full Text: DOI arXiv OpenURL
Avgerinos, Stavros; Bernard, Florian; Iollo, Angelo; Russo, Giovanni Linearly implicit all Mach number shock capturing schemes for the Euler equations. (English) Zbl 1452.76145 J. Comput. Phys. 393, 278-312 (2019). MSC: 76M20 76L05 76N15 PDF BibTeX XML Cite \textit{S. Avgerinos} et al., J. Comput. Phys. 393, 278--312 (2019; Zbl 1452.76145) Full Text: DOI Link OpenURL
Yang, Huizi; Yang, Zhanwen; Ma, Shufang Theoretical and numerical analysis for Volterra integro-differential equations with Itô integral under polynomially growth conditions. (English) Zbl 1429.65022 Appl. Math. Comput. 360, 70-82 (2019). MSC: 65C30 34K07 45J05 60H20 91B70 PDF BibTeX XML Cite \textit{H. Yang} et al., Appl. Math. Comput. 360, 70--82 (2019; Zbl 1429.65022) Full Text: DOI OpenURL
Eisenmann, Monika; Kovács, Mihály; Kruse, Raphael; Larsson, Stig On a randomized backward Euler method for nonlinear evolution equations with time-irregular coefficients. (English) Zbl 07135262 Found. Comput. Math. 19, No. 6, 1387-1430 (2019). MSC: 65C05 65L05 65L20 65M12 65M60 PDF BibTeX XML Cite \textit{M. Eisenmann} et al., Found. Comput. Math. 19, No. 6, 1387--1430 (2019; Zbl 07135262) Full Text: DOI arXiv OpenURL
Huang, Juntao; Zhao, Weifeng; Shu, Chi-Wang A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows. (English) Zbl 1444.35125 J. Sci. Comput. 79, No. 2, 1015-1056 (2019). MSC: 35Q31 76V05 76M20 PDF BibTeX XML Cite \textit{J. Huang} et al., J. Sci. Comput. 79, No. 2, 1015--1056 (2019; Zbl 1444.35125) Full Text: DOI OpenURL
Huang, Juntao; Shu, Chi-Wang Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows. (English) Zbl 1420.35190 J. Sci. Comput. 78, No. 3, 1811-1839 (2019). MSC: 35Q30 76V05 76N99 65L06 65M06 PDF BibTeX XML Cite \textit{J. Huang} and \textit{C.-W. Shu}, J. Sci. Comput. 78, No. 3, 1811--1839 (2019; Zbl 1420.35190) Full Text: DOI OpenURL
Boscarino, S.; Russo, G.; Scandurra, L. All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics. (English) Zbl 1407.65139 J. Sci. Comput. 77, No. 2, 850-884 (2018). MSC: 65M08 35Q31 76N15 65L06 35B40 65M06 76N17 PDF BibTeX XML Cite \textit{S. Boscarino} et al., J. Sci. Comput. 77, No. 2, 850--884 (2018; Zbl 1407.65139) Full Text: DOI arXiv OpenURL
Baier, Robert; Farkhi, Elza Discrete Filippov-type stability for one-sided Lipschitzian difference inclusions. (English) Zbl 1401.39016 Feichtinger, Gustav (ed.) et al., Control systems and mathematical methods in economics. Essays in honor of Vladimir M. Veliov. Cham: Springer (ISBN 978-3-319-75168-9/pbk; 978-3-319-75169-6/ebook). Lecture Notes in Economics and Mathematical Systems 687, 27-55 (2018). MSC: 39A30 65L50 PDF BibTeX XML Cite \textit{R. Baier} and \textit{E. Farkhi}, Lect. Notes Econ. Math. Syst. 687, 27--55 (2018; Zbl 1401.39016) Full Text: DOI Link OpenURL
Oliveira, Henrique M. Bifurcation equations for periodic orbits of implicit discrete dynamical systems. (English) Zbl 1390.37086 Nonlinear Dyn. 91, No. 1, 387-402 (2018). MSC: 37G15 37C27 39A28 PDF BibTeX XML Cite \textit{H. M. Oliveira}, Nonlinear Dyn. 91, No. 1, 387--402 (2018; Zbl 1390.37086) Full Text: DOI arXiv OpenURL
Feng, Fan; Chi, Xuebin; Wang, Zifa; Li, Jie; Jiang, Jinrong; Yang, Wenyi A nonnegativity preserved efficient chemical solver applied to the air pollution forecast. (English) Zbl 1426.80016 Appl. Math. Comput. 314, 44-57 (2017). MSC: 80M25 80A32 65L05 76V05 92E20 PDF BibTeX XML Cite \textit{F. Feng} et al., Appl. Math. Comput. 314, 44--57 (2017; Zbl 1426.80016) Full Text: DOI OpenURL
Hu, Jingwei; Zhang, Xiangxiong On a class of implicit-explicit Runge-Kutta schemes for stiff kinetic equations preserving the Navier-Stokes limit. (English) Zbl 1382.35179 J. Sci. Comput. 73, No. 2-3, 797-818 (2017). MSC: 35Q20 65L06 65L04 35Q30 35Q31 PDF BibTeX XML Cite \textit{J. Hu} and \textit{X. Zhang}, J. Sci. Comput. 73, No. 2--3, 797--818 (2017; Zbl 1382.35179) Full Text: DOI OpenURL
Zhu, Hailong; Chu, Jifeng Mean-square exponential dichotomy of numerical solutions to stochastic differential equations. (English) Zbl 1463.34235 J. Appl. Anal. Comput. 6, No. 2, 463-478 (2016). MSC: 34D09 65C30 34F05 PDF BibTeX XML Cite \textit{H. Zhu} and \textit{J. Chu}, J. Appl. Anal. Comput. 6, No. 2, 463--478 (2016; Zbl 1463.34235) Full Text: DOI OpenURL
Kovács, Balázs; Li, Buyang; Lubich, Christian A-stable time discretizations preserve maximal parabolic regularity. (English) Zbl 1355.65122 SIAM J. Numer. Anal. 54, No. 6, 3600-3624 (2016). MSC: 65M20 35K55 65L06 65M12 65M06 PDF BibTeX XML Cite \textit{B. Kovács} et al., SIAM J. Numer. Anal. 54, No. 6, 3600--3624 (2016; Zbl 1355.65122) Full Text: DOI arXiv OpenURL
Beyn, Wolf-Jürgen; Isaak, Elena; Kruse, Raphael Stochastic C-stability and B-consistency of explicit and implicit Euler-type schemes. (English) Zbl 1362.65011 J. Sci. Comput. 67, No. 3, 955-987 (2016). Reviewer: Kevin Burrage (Brisbane) MSC: 65C30 65L20 60H10 60H35 34F05 PDF BibTeX XML Cite \textit{W.-J. Beyn} et al., J. Sci. Comput. 67, No. 3, 955--987 (2016; Zbl 1362.65011) Full Text: DOI arXiv OpenURL
Gwinner, J.; Thalhammer, M. Full discretisations for nonlinear evolutionary inequalities based on stiffly accurate Runge-Kutta and \(hp\)-finite element methods. (English) Zbl 1308.65108 Found. Comput. Math. 14, No. 5, 913-949 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K15 49J40 35K61 35K86 47J05 47J20 47J22 47H05 65M12 PDF BibTeX XML Cite \textit{J. Gwinner} and \textit{M. Thalhammer}, Found. Comput. Math. 14, No. 5, 913--949 (2014; Zbl 1308.65108) Full Text: DOI OpenURL
Gan, Siqing; Xiao, Aiguo; Wang, Desheng Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations. (English) Zbl 1293.65011 J. Comput. Appl. Math. 268, 5-22 (2014). MSC: 65C30 34K50 60H10 PDF BibTeX XML Cite \textit{S. Gan} et al., J. Comput. Appl. Math. 268, 5--22 (2014; Zbl 1293.65011) Full Text: DOI arXiv OpenURL
Ali, Mouhamad Al Sayed; Sadkane, Miloud Improved predictor schemes for large systems of linear ODEs. (English) Zbl 1287.65055 ETNA, Electron. Trans. Numer. Anal. 39, 253-270 (2012). MSC: 65L05 34A30 65L20 65L06 PDF BibTeX XML Cite \textit{M. A. S. Ali} and \textit{M. Sadkane}, ETNA, Electron. Trans. Numer. Anal. 39, 253--270 (2012; Zbl 1287.65055) Full Text: EMIS OpenURL
Li, Qiyong; Gan, Siqing Almost sure exponential stability of numerical solutions for stochastic delay differential equations with jumps. (English) Zbl 1291.65015 J. Appl. Math. Comput. 37, No. 1-2, 541-557 (2011). MSC: 65C20 60H35 65L20 PDF BibTeX XML Cite \textit{Q. Li} and \textit{S. Gan}, J. Appl. Math. Comput. 37, No. 1--2, 541--557 (2011; Zbl 1291.65015) Full Text: DOI OpenURL
Motamed, Mohammad; Macdonald, Colin B.; Ruuth, Steven J. On the linear stability of the fifth-order WENO discretization. (English) Zbl 1217.65180 J. Sci. Comput. 47, No. 2, 127-149 (2011). MSC: 65M20 35L65 65M06 65M12 65L06 PDF BibTeX XML Cite \textit{M. Motamed} et al., J. Sci. Comput. 47, No. 2, 127--149 (2011; Zbl 1217.65180) Full Text: DOI Link OpenURL
Omar, M. A.; Aboul-Hassan, A.; Rabia, S. I. The composite Milstein methods for the numerical solution of Itô stochastic differential equations. (English) Zbl 1221.65018 J. Comput. Appl. Math. 235, No. 8, 2277-2299 (2011). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 65L20 65L06 PDF BibTeX XML Cite \textit{M. A. Omar} et al., J. Comput. Appl. Math. 235, No. 8, 2277--2299 (2011; Zbl 1221.65018) Full Text: DOI OpenURL
Faragó, István; Havasi, Ágnes; Zlatev, Zahari Efficient implementation of stable Richardson extrapolation algorithms. (English) Zbl 1205.65014 Comput. Math. Appl. 60, No. 8, 2309-2325 (2010). MSC: 65B05 65L99 PDF BibTeX XML Cite \textit{I. Faragó} et al., Comput. Math. Appl. 60, No. 8, 2309--2325 (2010; Zbl 1205.65014) Full Text: DOI OpenURL
Ascher, Uri M.; van den Doel, Kees; Huang, Hui; Svaiter, Benar F. Gradient descent and fast artificial time integration. (English) Zbl 1169.65329 ESAIM, Math. Model. Numer. Anal. 43, No. 4, 689 (2009). MSC: 65M06 35K15 65F10 65F50 PDF BibTeX XML Cite \textit{U. M. Ascher} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 4, 689 (2009; Zbl 1169.65329) Full Text: DOI EuDML OpenURL
Feng, Quan-Dong; Jiao, Yan-Dong; Tang, Yi-Fa Conjugate symplecticity of second-order linear multi-step methods. (English) Zbl 1124.65060 J. Comput. Appl. Math. 203, No. 1, 6-14 (2007). Reviewer: Rudolf Scherer (Karlsruhe) MSC: 65L06 65P10 65L05 34A34 37M15 65L70 37J05 PDF BibTeX XML Cite \textit{Q.-D. Feng} et al., J. Comput. Appl. Math. 203, No. 1, 6--14 (2007; Zbl 1124.65060) Full Text: DOI OpenURL
Higham, D. J.; Mao, X. Nonnormality and stochastic differential equations. (English) Zbl 1105.65007 BIT 46, No. 3, 525-532 (2006). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 34F05 60H10 65L20 65L06 65L07 PDF BibTeX XML Cite \textit{D. J. Higham} and \textit{X. Mao}, BIT 46, No. 3, 525--532 (2006; Zbl 1105.65007) Full Text: DOI OpenURL
Grimm, V.; Quispel, G. R. W. Geometric integration methods that preserve Lyapunov functions. (English) Zbl 1094.65070 BIT 45, No. 4, 709-723 (2005). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L06 65P40 65L05 37M25 34A34 34A26 65L20 PDF BibTeX XML Cite \textit{V. Grimm} and \textit{G. R. W. Quispel}, BIT 45, No. 4, 709--723 (2005; Zbl 1094.65070) Full Text: DOI OpenURL
Mora, Carlos M. Numerical solution of conservative finite-dimensional stochastic Schrödinger equations. (English) Zbl 1083.60058 Ann. Appl. Probab. 15, No. 3, 2144-2171 (2005). Reviewer: Grigori N. Milstein (Ekaterinburg) MSC: 60H35 60H10 65C30 PDF BibTeX XML Cite \textit{C. M. Mora}, Ann. Appl. Probab. 15, No. 3, 2144--2171 (2005; Zbl 1083.60058) Full Text: DOI arXiv OpenURL
Higham, Desmond J.; Kloeden, Peter. E. Numerical methods for nonlinear stochastic differential equations with jumps. (English) Zbl 1186.65010 Numer. Math. 101, No. 1, 101-119 (2005). MSC: 65C30 60H10 60H35 34F05 65L20 65L50 PDF BibTeX XML Cite \textit{D. J. Higham} and \textit{Peter. E. Kloeden}, Numer. Math. 101, No. 1, 101--119 (2005; Zbl 1186.65010) Full Text: DOI OpenURL
Glowinski, Roland; Toivanen, Jari A multigrid preconditioner and automatic differentiation for non-equilibrium radiation diffusion problems. (English) Zbl 1070.65092 J. Comput. Phys. 207, No. 1, 354-374 (2005). MSC: 65M55 35K55 65M20 65L06 65F10 65F35 65D25 PDF BibTeX XML Cite \textit{R. Glowinski} and \textit{J. Toivanen}, J. Comput. Phys. 207, No. 1, 354--374 (2005; Zbl 1070.65092) Full Text: DOI OpenURL
Debrabant, K.; Strehmel, K. Convergence of Runge-Kutta methods applied to linear partial differential-algebraic equations. (English) Zbl 1072.65122 Appl. Numer. Math. 53, No. 2-4, 213-229 (2005). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M12 65M20 65L06 35R10 35G15 PDF BibTeX XML Cite \textit{K. Debrabant} and \textit{K. Strehmel}, Appl. Numer. Math. 53, No. 2--4, 213--229 (2005; Zbl 1072.65122) Full Text: DOI arXiv OpenURL
Jay, L. O. Preserving Poisson structure and orthogonality in numerical integration of differential equations. (English) Zbl 1067.65145 Comput. Math. Appl. 48, No. 1-2, 237-255 (2004). Reviewer: Werner M. Seiler (Heidelberg) MSC: 65P10 37M15 65L06 70E15 PDF BibTeX XML Cite \textit{L. O. Jay}, Comput. Math. Appl. 48, No. 1--2, 237--255 (2004; Zbl 1067.65145) Full Text: DOI Link OpenURL
Ostermann, Alexander; Thalhammer, Mechthild Convergence of Runge-Kutta methods for nonlinear parabolic equations. (English) Zbl 1004.65093 Appl. Numer. Math. 42, No. 1-3, 367-380 (2002). Reviewer: Raffela Pavani (Milano) MSC: 65M12 65L06 65M20 35K55 PDF BibTeX XML Cite \textit{A. Ostermann} and \textit{M. Thalhammer}, Appl. Numer. Math. 42, No. 1--3, 367--380 (2002; Zbl 1004.65093) Full Text: DOI OpenURL
Ostermann, Alexander Stability of W-methods with applications to operator splitting and to geometric theory. (English) Zbl 1007.65063 Appl. Numer. Math. 42, No. 1-3, 353-366 (2002). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 34G20 65L05 65L12 65M06 35K90 PDF BibTeX XML Cite \textit{A. Ostermann}, Appl. Numer. Math. 42, No. 1--3, 353--366 (2002; Zbl 1007.65063) Full Text: DOI OpenURL
Zlatev, Z. Partitioning ODE systems with an application to air pollution models. (English) Zbl 0985.65087 Comput. Math. Appl. 42, No. 6-7, 817-832 (2001). Reviewer: M.I.Krastanov (Sofia) MSC: 65L06 92D40 65L05 34A34 PDF BibTeX XML Cite \textit{Z. Zlatev}, Comput. Math. Appl. 42, No. 6--7, 817--832 (2001; Zbl 0985.65087) Full Text: DOI OpenURL
Tian, Tianhai; Burrage, Kevin Implicit Taylor methods for stiff stochastic differential equations. (English) Zbl 0983.65007 Appl. Numer. Math. 38, No. 1-2, 167-185 (2001). Reviewer: Melvin D.Lax (Long Beach) MSC: 65C30 34F05 65L06 60H10 60H35 PDF BibTeX XML Cite \textit{T. Tian} and \textit{K. Burrage}, Appl. Numer. Math. 38, No. 1--2, 167--185 (2001; Zbl 0983.65007) Full Text: DOI OpenURL
Jay, Laurent O.; Braconnier, Thierry A parallelizable preconditioner for the iterative solution of implicit Runge-Kutta-type methods. (English) Zbl 0942.65077 J. Comput. Appl. Math. 111, No. 1-2, 63-76 (1999). Reviewer: T.C.Mohan (Madras) MSC: 65L06 65L05 34A34 65Y05 PDF BibTeX XML Cite \textit{L. O. Jay} and \textit{T. Braconnier}, J. Comput. Appl. Math. 111, No. 1--2, 63--76 (1999; Zbl 0942.65077) Full Text: DOI OpenURL
Sudarsan, R.; Keerthi, S. Sathiya Numerical approaches for solutions of differential equations on manifolds. (English) Zbl 0944.34040 Appl. Math. Comput. 92, No. 2-3, 153-193 (1998). MSC: 34C40 65L06 34A09 70-08 70E55 70E20 PDF BibTeX XML Cite \textit{R. Sudarsan} and \textit{S. S. Keerthi}, Appl. Math. Comput. 92, No. 2--3, 153--193 (1998; Zbl 0944.34040) Full Text: DOI OpenURL
Neumeyer, T.; Rentrop, P. The DAE-aspect of the charge cycle in a combustion engine. (English) Zbl 0963.76600 Appl. Numer. Math. 25, No. 2-3, 287-295 (1997). MSC: 76V05 76M20 80A25 PDF BibTeX XML Cite \textit{T. Neumeyer} and \textit{P. Rentrop}, Appl. Numer. Math. 25, No. 2--3, 287--295 (1997; Zbl 0963.76600) Full Text: DOI OpenURL
Auzinger, W.; Frank, R.; Kirlinger, G. Extending convergence theory for nonlinear stiff problems. I. (English) Zbl 0863.65040 BIT 36, No. 4, 635-652 (1996). Reviewer: E.Hairer (Genève) MSC: 65L05 34E13 65L70 34A34 PDF BibTeX XML Cite \textit{W. Auzinger} et al., BIT 36, No. 4, 635--652 (1996; Zbl 0863.65040) Full Text: DOI OpenURL
Arévalo, C.; Führer, C.; Söderlind, G. Stabilized multistep methods for index 2 Euler-Lagrange DAEs. (English) Zbl 0854.65065 BIT 36, No. 1, 1-13 (1996). Reviewer: R.Lamour (Berlin) MSC: 65L06 65L05 65L20 70F10 34A34 34A09 PDF BibTeX XML Cite \textit{C. Arévalo} et al., BIT 36, No. 1, 1--13 (1996; Zbl 0854.65065) Full Text: DOI OpenURL
Arnold, M. A perturbation analysis for the dynamical simulation of mechanical multibody systems. (English) Zbl 0833.70002 Appl. Numer. Math. 18, No. 1-3, 37-56 (1995). MSC: 70-08 70E20 70F20 PDF BibTeX XML Cite \textit{M. Arnold}, Appl. Numer. Math. 18, No. 1--3, 37--56 (1995; Zbl 0833.70002) Full Text: DOI OpenURL
Hofmann, Norbert Stability of weak numerical schemes for stochastic differential equations. (English) Zbl 0824.60058 Math. Comput. Simul. 38, No. 1-3, 63-68 (1995). MSC: 60H10 65C99 PDF BibTeX XML Cite \textit{N. Hofmann}, Math. Comput. Simul. 38, No. 1--3, 63--68 (1995; Zbl 0824.60058) Full Text: DOI OpenURL
Hofmann, N.; Platen, E. Stability of weak numerical schemes for stochastic differential equations. (English) Zbl 0810.65147 Comput. Math. Appl. 28, No. 10-12, 45-57 (1994). Reviewer: M.D.Lax (Long Beach) MSC: 65C99 65L05 65L20 60H10 34F05 PDF BibTeX XML Cite \textit{N. Hofmann} and \textit{E. Platen}, Comput. Math. Appl. 28, No. 10--12, 45--57 (1994; Zbl 0810.65147) Full Text: DOI OpenURL
Hairer, Ernst; Ostermann, Alexander Dense output for extrapolation methods. (English) Zbl 0693.65048 Numer. Math. 58, No. 4, 419-439 (1990). Reviewer: E.Hairer MSC: 65L05 34A34 PDF BibTeX XML Cite \textit{E. Hairer} and \textit{A. Ostermann}, Numer. Math. 58, No. 4, 419--439 (1990; Zbl 0693.65048) Full Text: DOI EuDML OpenURL