González-Pinto, S.; Hernández-Abreu, D. Convergence in the maximum norm of ADI-type methods for parabolic problems. (English) Zbl 07418837 Appl. Numer. Math. 171, 269-280 (2022). MSC: 65Mxx 65Lxx 35Kxx PDF BibTeX XML Cite \textit{S. González-Pinto} and \textit{D. Hernández-Abreu}, Appl. Numer. Math. 171, 269--280 (2022; Zbl 07418837) Full Text: DOI arXiv OpenURL
Kazashi, Yoshihito; Nobile, Fabio; Vidličková, Eva Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations. (English) Zbl 07437243 Numer. Math. 149, No. 4, 973-1024 (2021). MSC: 65-XX 35R60 35K15 65M12 65L04 65F30 PDF BibTeX XML Cite \textit{Y. Kazashi} et al., Numer. Math. 149, No. 4, 973--1024 (2021; Zbl 07437243) Full Text: DOI arXiv OpenURL
Vabishchevich, P. N. An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP. (English) Zbl 1466.65166 J. Comput. Appl. Math. 391, Article ID 113460, 13 p. (2021). MSC: 65N06 35J25 35R11 65F60 65D32 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, J. Comput. Appl. Math. 391, Article ID 113460, 13 p. (2021; Zbl 1466.65166) Full Text: DOI arXiv OpenURL
Osting, Braxton; Wang, Dong A diffusion generated method for orthogonal matrix-valued fields. (English) Zbl 1435.65144 Math. Comput. 89, No. 322, 515-550 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M12 35K93 35K05 35Q56 35R09 35C20 65D18 65T50 65K10 15A18 PDF BibTeX XML Cite \textit{B. Osting} and \textit{D. Wang}, Math. Comput. 89, No. 322, 515--550 (2020; Zbl 1435.65144) Full Text: DOI arXiv OpenURL
Mirzaee, Farshid; Alipour, Sahar Numerical solution of nonlinear partial quadratic integro-differential equations of fractional order via hybrid of block-pulse and parabolic functions. (English) Zbl 1418.65152 Numer. Methods Partial Differ. Equations 35, No. 3, 1134-1151 (2019). MSC: 65M99 35R09 35R11 65M12 65H10 65R20 PDF BibTeX XML Cite \textit{F. Mirzaee} and \textit{S. Alipour}, Numer. Methods Partial Differ. Equations 35, No. 3, 1134--1151 (2019; Zbl 1418.65152) Full Text: DOI OpenURL
Clavero, C.; Jorge, J. C. An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems. (English) Zbl 1419.65014 J. Comput. Appl. Math. 354, 431-444 (2019). MSC: 65M06 65M12 35B25 35K15 35R11 35B40 65F05 PDF BibTeX XML Cite \textit{C. Clavero} and \textit{J. C. Jorge}, J. Comput. Appl. Math. 354, 431--444 (2019; Zbl 1419.65014) Full Text: DOI OpenURL
Clavero, C.; Jorge, J. C. Solving efficiently one dimensional parabolic singularly perturbed reaction-diffusion systems: a splitting by components. (English) Zbl 1457.65045 J. Comput. Appl. Math. 344, 1-14 (2018). MSC: 65M06 65N06 35B25 35K57 65F05 35R11 PDF BibTeX XML Cite \textit{C. Clavero} and \textit{J. C. Jorge}, J. Comput. Appl. Math. 344, 1--14 (2018; Zbl 1457.65045) Full Text: DOI OpenURL
Gu, Xian-Ming; Huang, Ting-Zhu; Ji, Cui-Cui; Carpentieri, Bruno; Alikhanov, Anatoly A. Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation. (English) Zbl 1379.65062 J. Sci. Comput. 72, No. 3, 957-985 (2017). Reviewer: T. C. Mohan (Chennai) MSC: 65M06 35R11 65T50 35K20 65F08 65M12 PDF BibTeX XML Cite \textit{X.-M. Gu} et al., J. Sci. Comput. 72, No. 3, 957--985 (2017; Zbl 1379.65062) Full Text: DOI arXiv OpenURL
Liu, Zhengguang; Cheng, Aijie; Li, Xiaoli; Wang, Hong A fast solution technique for finite element discretization of the space-time fractional diffusion equation. (English) Zbl 1368.65194 Appl. Numer. Math. 119, 146-163 (2017). MSC: 65M60 35K20 35R11 65T50 65M15 PDF BibTeX XML Cite \textit{Z. Liu} et al., Appl. Numer. Math. 119, 146--163 (2017; Zbl 1368.65194) Full Text: DOI OpenURL
Zogheib, Bashar; Tohidi, Emran An accurate space-time pseudospectral method for solving nonlinear multi-dimensional heat transfer problems. (English) Zbl 1362.65116 Mediterr. J. Math. 14, No. 1, Paper No. 30, 19 p. (2017). MSC: 65M70 35K55 65D25 PDF BibTeX XML Cite \textit{B. Zogheib} and \textit{E. Tohidi}, Mediterr. J. Math. 14, No. 1, Paper No. 30, 19 p. (2017; Zbl 1362.65116) Full Text: DOI OpenURL
Bhrawy, A. H. A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations. (English) Zbl 1348.65143 Numer. Algorithms 73, No. 1, 91-113 (2016). MSC: 65M70 35K55 35R11 65M15 65M12 PDF BibTeX XML Cite \textit{A. H. Bhrawy}, Numer. Algorithms 73, No. 1, 91--113 (2016; Zbl 1348.65143) Full Text: DOI OpenURL
Pang, Hong-Kui; Sun, Hai-Wei Fast numerical contour integral method for fractional diffusion equations. (English) Zbl 1351.65058 J. Sci. Comput. 66, No. 1, 41-66 (2016). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65M06 35K15 35R11 65F08 PDF BibTeX XML Cite \textit{H.-K. Pang} and \textit{H.-W. Sun}, J. Sci. Comput. 66, No. 1, 41--66 (2016; Zbl 1351.65058) Full Text: DOI OpenURL
Fakhar-Izadi, Farhad; Dehghan, Mehdi Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains. (English) Zbl 1367.65147 Comput. Math. Appl. 67, No. 10, 1884-1904 (2014). MSC: 65M70 35K67 35R09 45K05 65M12 PDF BibTeX XML Cite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, Comput. Math. Appl. 67, No. 10, 1884--1904 (2014; Zbl 1367.65147) Full Text: DOI OpenURL
Pan, Jianyu; Ke, Rihuan; Ng, Michael K.; Sun, Hai-Wei Preconditioning techniques for diagonal-times-Toeplitz matrices in fractional diffusion equations. (English) Zbl 1314.65112 SIAM J. Sci. Comput. 36, No. 6, A2698-A2719 (2014). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M06 65M22 35K90 35R11 65F08 15B05 PDF BibTeX XML Cite \textit{J. Pan} et al., SIAM J. Sci. Comput. 36, No. 6, A2698--A2719 (2014; Zbl 1314.65112) Full Text: DOI Link OpenURL
Li, Xinxiu Operational method for solving fractional differential equations using cubic B-spline approximation. (English) Zbl 1333.65078 Int. J. Comput. Math. 91, No. 12, 2584-2602 (2014). MSC: 65L05 35R11 34A08 35K15 65D07 PDF BibTeX XML Cite \textit{X. Li}, Int. J. Comput. Math. 91, No. 12, 2584--2602 (2014; Zbl 1333.65078) Full Text: DOI OpenURL
Mahmoudi, M.; Kamyad, A. V.; Effati, S. A new computational approach for solving optimal control of linear PDEs problem. (English) Zbl 1304.49010 Acta Math. Appl. Sin., Engl. Ser. 30, No. 3, 735-748 (2014). MSC: 49J20 35K35 47D06 90C34 65M99 PDF BibTeX XML Cite \textit{M. Mahmoudi} et al., Acta Math. Appl. Sin., Engl. Ser. 30, No. 3, 735--748 (2014; Zbl 1304.49010) Full Text: DOI OpenURL
Zayernouri, Mohsen; Karniadakis, George Em Fractional spectral collocation method. (English) Zbl 1294.65097 SIAM J. Sci. Comput. 36, No. 1, A40-A62 (2014). MSC: 65M70 35R11 35K20 35Q53 35S10 35S11 PDF BibTeX XML Cite \textit{M. Zayernouri} and \textit{G. E. Karniadakis}, SIAM J. Sci. Comput. 36, No. 1, A40--A62 (2014; Zbl 1294.65097) Full Text: DOI Link OpenURL
Pang, Hong-Kui; Sun, Hai-Wei Fast exponential time integration for pricing options in stochastic volatility jump diffusion models. (English) Zbl 1292.91186 East Asian J. Appl. Math. 4, No. 1, 52-68 (2014). MSC: 91G60 91G20 65M06 65F10 35K15 35R09 35Q91 PDF BibTeX XML Cite \textit{H.-K. Pang} and \textit{H.-W. Sun}, East Asian J. Appl. Math. 4, No. 1, 52--68 (2014; Zbl 1292.91186) Full Text: DOI Link OpenURL
Tian, WenYi; Deng, Weihua; Wu, Yujiang Polynomial spectral collocation method for space fractional advection-diffusion equation. (English) Zbl 1287.65093 Numer. Methods Partial Differ. Equations 30, No. 2, 514-535 (2014). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35K20 35R11 35K55 65M12 PDF BibTeX XML Cite \textit{W. Tian} et al., Numer. Methods Partial Differ. Equations 30, No. 2, 514--535 (2014; Zbl 1287.65093) Full Text: DOI arXiv OpenURL
Basu, Treena S.; Wang, Hong A fast second-order finite difference method for space-fractional diffusion equations. (English) Zbl 1279.65095 Int. J. Numer. Anal. Model. 9, No. 3, 658-666 (2012). MSC: 65M06 35K20 35R11 PDF BibTeX XML Cite \textit{T. S. Basu} and \textit{H. Wang}, Int. J. Numer. Anal. Model. 9, No. 3, 658--666 (2012; Zbl 1279.65095) Full Text: Link OpenURL
Deuflhard, Peter; Weiser, Martin Adaptive numerical solution of PDEs. (English) Zbl 1268.65146 de Gruyter Textbook. Berlin: de Gruyter (ISBN 978-3-11-028310-5/pbk; 978-3-11-028311-2/ebook). xi, 421 p. (2012). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N22 65M22 65-02 65M15 65M60 65N15 65N30 65N12 65F05 65F08 65N55 65N50 65N06 65N35 65Y15 35J05 35J60 35L05 35Q41 35Q30 35Q61 PDF BibTeX XML Cite \textit{P. Deuflhard} and \textit{M. Weiser}, Adaptive numerical solution of PDEs. Berlin: de Gruyter (2012; Zbl 1268.65146) Full Text: DOI OpenURL
Benner, Peter; Faßbender, Heike On the numerical solution of large-scale sparse discrete-time Riccati equations. (English) Zbl 1230.65070 Adv. Comput. Math. 35, No. 2-4, 119-147 (2011). MSC: 65K10 49J20 49M15 49N10 65F30 15A24 PDF BibTeX XML Cite \textit{P. Benner} and \textit{H. Faßbender}, Adv. Comput. Math. 35, No. 2--4, 119--147 (2011; Zbl 1230.65070) Full Text: DOI Link OpenURL
Karatay, İbrahim; Bayramoğlu, Şerife R.; Şahin, Ali Implicit difference approximation for the time fractional heat equation with the nonlocal condition. (English) Zbl 1266.65146 Appl. Numer. Math. 61, No. 12, 1281-1288 (2011). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65M06 80M20 35K05 35R11 65M12 PDF BibTeX XML Cite \textit{İ. Karatay} et al., Appl. Numer. Math. 61, No. 12, 1281--1288 (2011; Zbl 1266.65146) 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
Fakhar-Izadi, Farhad; Dehghan, Mehdi The spectral methods for parabolic Volterra integro-differential equations. (English) Zbl 1219.65161 J. Comput. Appl. Math. 235, No. 14, 4032-4046 (2011). MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, J. Comput. Appl. Math. 235, No. 14, 4032--4046 (2011; Zbl 1219.65161) Full Text: DOI OpenURL
Saadatmandi, Abbas; Dehghan, Mehdi Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications. (English) Zbl 1191.65128 Int. J. Comput. Math. 87, No. 5, 997-1008 (2010). MSC: 65M32 35K20 65M70 35R30 PDF BibTeX XML Cite \textit{A. Saadatmandi} and \textit{M. Dehghan}, Int. J. Comput. Math. 87, No. 5, 997--1008 (2010; Zbl 1191.65128) Full Text: DOI OpenURL
Schwab, Christoph; Stevenson, Rob Space-time adaptive wavelet methods for parabolic evolution problems. (English) Zbl 1198.65249 Math. Comput. 78, No. 267, 1293-1318 (2009). MSC: 65N99 65T60 35K10 41A25 46B28 PDF BibTeX XML Cite \textit{C. Schwab} and \textit{R. Stevenson}, Math. Comput. 78, No. 267, 1293--1318 (2009; Zbl 1198.65249) Full Text: DOI OpenURL
Pal, Srimanta Numerical methods. Principles, analysis and algorithms. (English) Zbl 1196.65001 Oxford: Oxford University Press (ISBN 978-0-19-569375-1/pbk). xii, 812 p. (2009). Reviewer: Georg Hebermehl (Berlin) MSC: 65-01 65Fxx 65Lxx 65Mxx 65Nxx 65Yxx 65D05 65D07 65D30 65G50 65H04 65H05 65H10 92B20 97M50 00A06 65C05 65R20 PDF BibTeX XML Cite \textit{S. Pal}, Numerical methods. Principles, analysis and algorithms. Oxford: Oxford University Press (2009; Zbl 1196.65001) OpenURL
Bin Zubair, H.; Leentvaar, C. C. W.; Oosterlee, C. W. Multigrid precondititoners for Bi-CGSTAB for the sparse-grid solution of high-dimensional anisotropic diffusion equation. (English) Zbl 1136.65088 J. Prime Res. Math. 3, 186-200 (2007). MSC: 65M55 65M06 65M12 35K05 65Y20 91G60 65F10 65F35 PDF BibTeX XML Cite \textit{H. Bin Zubair} et al., J. Prime Res. Math. 3, 186--200 (2007; Zbl 1136.65088) OpenURL
Matache, Ana-Maria; Schwab, Christoph; Wihler, Thomas P. Linear complexity solution of parabolic integro-differential equations. (English) Zbl 1102.65139 Numer. Math. 104, No. 1, 69-102 (2006). Reviewer: Neville Ford (Chester) MSC: 65R20 45K05 35S10 91G60 PDF BibTeX XML Cite \textit{A.-M. Matache} et al., Numer. Math. 104, No. 1, 69--102 (2006; Zbl 1102.65139) Full Text: DOI Link OpenURL
Mead, J.; Zubik-Kowal, B. An iterated pseudospectral method for delay partial differential equations. (English) Zbl 1081.65097 Appl. Numer. Math. 55, No. 2, 227-250 (2005). Reviewer: Song Jiang (Beijing) MSC: 65M70 65M15 35R10 65M20 65F35 PDF BibTeX XML Cite \textit{J. Mead} and \textit{B. Zubik-Kowal}, Appl. Numer. Math. 55, No. 2, 227--250 (2005; Zbl 1081.65097) Full Text: DOI OpenURL
Heinkenschloss, Matthias A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems. (English) Zbl 1075.65091 J. Comput. Appl. Math. 173, No. 1, 169-198 (2005). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 49M27 49J20 49N10 65F10 65F35 PDF BibTeX XML Cite \textit{M. Heinkenschloss}, J. Comput. Appl. Math. 173, No. 1, 169--198 (2005; Zbl 1075.65091) Full Text: DOI OpenURL
Ciuiu, Daniel Solving linear systems of equations and differential equations with partial derivatives by the Monte Carlo method using service systems. (English) Zbl 1265.65004 An. Univ. București, Mat.-Inform. 53, 93-104 (2004). MSC: 65C05 60K25 65F30 65C50 65M99 65N99 35J25 35K20 PDF BibTeX XML Cite \textit{D. Ciuiu}, An. Univ. București, Mat.-Inform. 53, 93--104 (2004; Zbl 1265.65004) OpenURL
Strikwerda, John C. Finite difference schemes and partial differential equations. 2nd ed. (English) Zbl 1071.65118 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-567-9/hbk). xii, 435 p. (2004). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65Nxx 65F10 65N22 65-02 65M06 65M12 65N06 65N12 35Jxx 35Kxx 35Lxx PDF BibTeX XML Cite \textit{J. C. Strikwerda}, Finite difference schemes and partial differential equations. 2nd ed. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2004; Zbl 1071.65118) OpenURL
Dehghan, Mehdi Numerical procedures for a boundary value problem with a non-linear boundary condition. (English) Zbl 1032.65105 Appl. Math. Comput. 147, No. 1, 291-306 (2004). MSC: 65M20 35K60 65L12 65Y05 PDF BibTeX XML Cite \textit{M. Dehghan}, Appl. Math. Comput. 147, No. 1, 291--306 (2004; Zbl 1032.65105) Full Text: DOI OpenURL
Chizhonkov, E. V. Numerical aspects of one stabilization method. (English) Zbl 1058.65095 Russ. J. Numer. Anal. Math. Model. 18, No. 5, 363-376 (2003). Reviewer: Michael Junk (Konstanz) MSC: 65M12 35K55 35B37 65K10 49M25 65M06 49J20 PDF BibTeX XML Cite \textit{E. V. Chizhonkov}, Russ. J. Numer. Anal. Math. Model. 18, No. 5, 363--376 (2003; Zbl 1058.65095) Full Text: DOI OpenURL
Dehghan, Mehdi Parallel techniques for a boundary value problem with non-classic boundary conditions. (English) Zbl 1027.65127 Appl. Math. Comput. 137, No. 2-3, 399-412 (2003). MSC: 65M20 65Y05 65M06 35K05 PDF BibTeX XML Cite \textit{M. Dehghan}, Appl. Math. Comput. 137, No. 2--3, 399--412 (2003; Zbl 1027.65127) Full Text: DOI OpenURL
Vanselow, R. Error estimates of an FEM with lumping for parabolic PDEs. (English) Zbl 1015.65044 Computing 68, No. 2, 131-141 (2002). Reviewer: Myron Sussman (Bethel Park) MSC: 65M15 35K15 65M20 65M60 PDF BibTeX XML Cite \textit{R. Vanselow}, Computing 68, No. 2, 131--141 (2002; Zbl 1015.65044) Full Text: DOI OpenURL
Bergamaschi, L.; Vianello, M. Efficient computation of the exponential operator for large, sparse, symmetric matrices. (English) Zbl 0983.65058 Numer. Linear Algebra Appl. 7, No. 1, 27-45 (2000). Reviewer: Miroslav Rozložník (Praha) MSC: 65F30 65L05 34A30 35K15 65F10 65M06 65M60 PDF BibTeX XML Cite \textit{L. Bergamaschi} and \textit{M. Vianello}, Numer. Linear Algebra Appl. 7, No. 1, 27--45 (2000; Zbl 0983.65058) Full Text: DOI OpenURL
Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto Numerical mathematics. (English) Zbl 0957.65001 Texts in Applied Mathematics. 37. New York, NY: Springer. xx, 654 p. (2000). Reviewer: Werner H.Schmidt (Greifswald) MSC: 65-01 00A06 65D32 65D05 65D07 65F05 65F10 65F15 65F50 65Gxx 65Hxx 65Kxx 65Lxx 65Mxx 74K10 78A55 82D37 92C35 92C55 PDF BibTeX XML Cite \textit{A. Quarteroni} et al., Numerical mathematics. New York, NY: Springer (2000; Zbl 0957.65001) OpenURL
Blanes, Sergio; Jódar, Lucas Continuous numerical solutions of coupled mixed partial differential systems using Fer’s factorization. (English) Zbl 0946.65095 J. Comput. Appl. Math. 101, No. 1-2, 189-202 (1999). Reviewer: S.K.Rangarajan (Bangalore) MSC: 65M70 35K15 PDF BibTeX XML Cite \textit{S. Blanes} and \textit{L. Jódar}, J. Comput. Appl. Math. 101, No. 1--2, 189--202 (1999; Zbl 0946.65095) Full Text: DOI OpenURL
Lucquin, Brigitte; Pironneau, Olivier Introduction to scientific computing. Transl. from the French by Michel Kern. (English) Zbl 0899.65062 Chichester: John Wiley & Sons. xviii, 361 p. (1998). Reviewer: E.Lanckau (Chemnitz) MSC: 65N30 65M06 65F10 65F35 35J05 35G10 35K25 65N38 35J65 35J25 35-04 65Y05 65-01 PDF BibTeX XML Cite \textit{B. Lucquin} and \textit{O. Pironneau}, Introduction to scientific computing. Transl. from the French by Michel Kern. Chichester: John Wiley \& Sons (1998; Zbl 0899.65062) OpenURL
Doha, E. H.; Helal, M. A. An accurate double Chebyshev spectral approximation for parabolic partial differential equations. (English) Zbl 0899.65060 J. Egypt. Math. Soc. 5, No. 1, 83-101 (1997). Reviewer: M.Lénárd (Safat) MSC: 65M70 35K15 PDF BibTeX XML Cite \textit{E. H. Doha} and \textit{M. A. Helal}, J. Egypt. Math. Soc. 5, No. 1, 83--101 (1997; Zbl 0899.65060) OpenURL
Navarro, E.; Ponsoda, E.; Jódar, L. A matrix approach to the analytic-numerical solution of mixed partial differential systems. (English) Zbl 0839.65105 Comput. Math. Appl. 30, No. 1, 99-109 (1995). Reviewer: H.Marcinkowska (Wrocław) MSC: 65M70 35K15 PDF BibTeX XML Cite \textit{E. Navarro} et al., Comput. Math. Appl. 30, No. 1, 99--109 (1995; Zbl 0839.65105) Full Text: DOI OpenURL
Berggren, M.; Glowinski, R. A spectral preconditioner for control problems associated with linear evolution equations. (English) Zbl 0833.65059 East-West J. Numer. Math. 3, No. 2, 81-109 (1995). Reviewer: G.S.Stavrakakis (Chania) MSC: 65K10 65F35 90C52 35B37 49J20 35G10 35K25 65F10 PDF BibTeX XML Cite \textit{M. Berggren} and \textit{R. Glowinski}, East-West J. Numer. Math. 3, No. 2, 81--109 (1995; Zbl 0833.65059) OpenURL
Prusakov, G. M. Mathematical models and methods in calculations on a computer. (Matematicheskie modeli i metody v raschetakh na EhVM.) (Russian. English summary) Zbl 0865.65064 Moskva: Izdatel’skaya Firma “Fiziko-Matematicheskaya Literatura” VO “Nauka”. 144 p. (1993). Reviewer: M.Jung (Chemnitz) MSC: 65M06 35-01 65-01 35-04 65N06 65C05 65F05 PDF BibTeX XML Cite \textit{G. M. Prusakov}, Matematicheskie modeli i metody v raschetakh na EhVM (Russian). Moskva: Izdatel'skaya Firma ``Fiziko-Matematicheskaya Literatura'' VO ``Nauka'' (1993; Zbl 0865.65064) OpenURL
Legua, M.; Jódar, L.; Law, A. G. Existence of numerical solutions for singular partial differential systems. (English) Zbl 0785.65095 Beauwens, R. (ed.) et al., Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 395-400 (1992). MSC: 65M06 35K15 PDF BibTeX XML Cite \textit{M. Legua} et al., in: Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 395--400 (1992; Zbl 0785.65095) OpenURL
Kauthen, J.-P. The method of lines for parabolic partial integro-differential equations. (English) Zbl 0763.65101 J. Integral Equations Appl. 4, No. 1, 69-81 (1992). Reviewer: A.K.Pani (Bombay) MSC: 65R20 45K05 45G10 PDF BibTeX XML Cite \textit{J. P. Kauthen}, J. Integral Equations Appl. 4, No. 1, 69--81 (1992; Zbl 0763.65101) Full Text: DOI OpenURL
Stoyan, Gisbert On the monotone approximation of a two-dimensional partial differential equation with nonnegative characteristic form. (English) Zbl 0733.65054 Numerical treatment of differential equations, Sel. Pap. 5th Int. Semin., NUMDIFF-5, Halle/Ger. 1989, Teubner-Texte Math. 121, 259-266 (1991). Reviewer: G.Stoyan MSC: 65M06 65N06 65M12 35J05 35K05 35M10 65M25 PDF BibTeX XML OpenURL
Kauthen, Jean-Paul Theoretical and computational aspects of continuous time collocation methods for Volterra-type integral and partial integro-differential equations. (English) Zbl 0728.65116 Fribourg: Univ. Fribourg, Inst. f. Angew. Math., Diss. iii, 113 p. (1989). MSC: 65R20 45B05 45D05 45G10 45J05 45K05 PDF BibTeX XML Cite \textit{J.-P. Kauthen}, Theoretical and computational aspects of continuous time collocation methods for Volterra-type integral and partial integro-differential equations. Fribourg: Univ. Fribourg, Inst. f. Angew. Math. (1989; Zbl 0728.65116) OpenURL
Strikwerda, John C. Finite difference schemes and partial differential equations. (English) Zbl 0681.65064 Wadsworth & Brooks/Cole Mathematics Series. Pacific Grove, CA: Wadsworth & Brooks/Cole Advanced Books & Software. xii, 386 p. (1989). Reviewer: R.D.Grigorieff MSC: 65Mxx 65F10 65N22 65-02 65Nxx 65M06 65M12 65N06 65N12 35Jxx 35Kxx 35Lxx PDF BibTeX XML Cite \textit{J. C. Strikwerda}, Finite difference schemes and partial differential equations. Pacific Grove, CA: Wadsworth \&| Brooks/Cole Advanced Books \&| Software (1989; Zbl 0681.65064) OpenURL
Nijhoff, Frank W. Linear integral transformations and hierarchies of integrable nonlinear evolution equations. (English) Zbl 0654.35086 Physica D 31, No. 3, 339-388 (1988). MSC: 35Q99 35A22 35G20 35G10 35K25 PDF BibTeX XML Cite \textit{F. W. Nijhoff}, Physica D 31, No. 3, 339--388 (1988; Zbl 0654.35086) Full Text: DOI OpenURL
Lasiecka, I.; Triggiani, R. The regulator problem for parabolic equations with Dirichlet boundary control. II: Galerkin approximation. (English) Zbl 0652.49026 Appl. Math. Optimization 16, 187-216 (1987). Reviewer: K.Malanowski MSC: 49M15 35K20 49K20 15A24 35B37 47A62 47D03 65N30 65K10 93B40 93C05 93C20 PDF BibTeX XML Cite \textit{I. Lasiecka} and \textit{R. Triggiani}, Appl. Math. Optim. 16, 187--216 (1987; Zbl 0652.49026) Full Text: DOI OpenURL
Kujawski, J.; Desai, C. S. Construction of highly stable explicit algorithms for transient field problems. (English) Zbl 0636.73078 J. Tech. Phys. 28, 77-85 (1987). MSC: 74S30 65K10 65L20 PDF BibTeX XML Cite \textit{J. Kujawski} and \textit{C. S. Desai}, J. Tech. Phys. 28, 77--85 (1987; Zbl 0636.73078) OpenURL
Thompson, S. The effect of partial pivoting in sparse ordinary differential equation solvers. (English) Zbl 0636.65074 Comput. Math. Appl., Part A 12, 1183-1191 (1986). Reviewer: G.J.Cooper MSC: 65L05 65M20 76B15 35K60 PDF BibTeX XML Cite \textit{S. Thompson}, Comput. Math. Appl., Part A 12, 1183--1191 (1986; Zbl 0636.65074) Full Text: DOI OpenURL
Huntley, E. Stable algorithms for matrix Riccati solutions of parabolic optimal control problems. (English) Zbl 0561.49026 Control of distributed parameter systems, Proc. 3rd IFAC Symp., Toulouse 1982, 553-560 (1983). MSC: 49M25 15A24 35K05 41A21 65K10 65N40 93B40 93C05 93C20 PDF BibTeX XML OpenURL
Meis, Theodor; Marcowitz, Ulrich Numerical solution of partial differential equations. Transl. from the German by Peter R. Wadsack. (English) Zbl 0446.65045 Applied Mathematical Sciences, Vol. 32. New York - Heidelberg -Berlin: Springer-Verlag. VIII, 541 p. DM 52.00; $ 27.30 (1981). MSC: 65Mxx 65-02 35F10 65F05 35F25 35J25 35K15 35L15 46N99 65F10 65Nxx 65H10 35-04 65M99 65N99 35B30 35D05 PDF BibTeX XML OpenURL
Evans, D. J. Numerical methods for incompressible flow studies in two dimensions. (English) Zbl 0482.76012 Recent advances in numerical methods in fluids, Vol. 1, 203-244 (1980). MSC: 76M99 65N06 PDF BibTeX XML OpenURL
Evans, D. J. Direct methods of solution of partial differential equations with periodic boundary conditions. (English) Zbl 0418.65052 Math. Comput. Simulation 21, 270-275 (1979). MSC: 65N22 35J25 35K20 65F10 65F05 65F25 15A23 PDF BibTeX XML Cite \textit{D. J. Evans}, Math. Comput. Simul. 21, 270--275 (1979; Zbl 0418.65052) Full Text: DOI OpenURL
Huntley, E. A note on the application of the matrix Riccati equation to the optimal control of distributed parameter systems. (English) Zbl 0404.49006 IEEE Trans. Autom. Control 24, 487-489 (1979). MSC: 49J20 93C20 93B40 35K10 PDF BibTeX XML Cite \textit{E. Huntley}, IEEE Trans. Autom. Control 24, 487--489 (1979; Zbl 0404.49006) Full Text: DOI OpenURL
Meis, Theodor; Marcowitz, U. Numerische Behandlung partieller Differentialgleichungen. (German) Zbl 0418.65044 Hochschultext. Berlin-Heidelberg-New York: Springer-Verlag. VIII, 452 p. DM 38.00; $ 19.00 (1978). MSC: 65Mxx 65-02 65F05 65F10 65Nxx 65H10 35-04 65M99 65N99 35B30 35D05 35F10 35F25 35J25 35K15 35L15 46N99 94C99 PDF BibTeX XML OpenURL
Hoskins, W. D.; Walton, D. J. The numerical solution of the time-dependent matrix equation A(t)V(t)+WA(t)=G(t). (English) Zbl 0394.65031 Int. J. Syst. Sci. 9, 1019-1028 (1978). MSC: 65N22 65F10 15A24 35K20 34D20 PDF BibTeX XML Cite \textit{W. D. Hoskins} and \textit{D. J. Walton}, Int. J. Syst. Sci. 9, 1019--1028 (1978; Zbl 0394.65031) Full Text: DOI OpenURL
Varga, Richard S. Matrix iterative analysis. (English) Zbl 0133.08602 Prentice-Hall Series in Automatic Computation. Englewood Cliffs, New Jersey: Prentice-Hall, Inc. xiii, 322 p. (1962). Reviewer: Julius Albrecht (Hamburg) MSC: 65F10 65-02 15A60 PDF BibTeX XML OpenURL