Burr, M.; Sottile, F.; Walker, E. Numerical homotopies from Khovanskii bases. (English) Zbl 1519.14047 Math. Comput. 92, No. 343, 2333-2353 (2023). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 14M25 68W30 65H10 65H20 PDFBibTeX XMLCite \textit{M. Burr} et al., Math. Comput. 92, No. 343, 2333--2353 (2023; Zbl 1519.14047) Full Text: DOI arXiv
Sun, Weiwei; Wu, Chengda New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media. (English) Zbl 1452.65359 Math. Comput. 90, No. 327, 81-102 (2021). MSC: 65N30 65M22 65N12 65M15 65H10 35K61 76S05 35Q35 PDFBibTeX XMLCite \textit{W. Sun} and \textit{C. Wu}, Math. Comput. 90, No. 327, 81--102 (2021; Zbl 1452.65359) Full Text: DOI arXiv
Rebholz, Leo G.; Viguerie, Alex; Xiao, Mengying Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations. (English) Zbl 1416.65421 Math. Comput. 88, No. 318, 1533-1557 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 35Q30 65N30 65H10 65F08 65F10 76M10 76D05 PDFBibTeX XMLCite \textit{L. G. Rebholz} et al., Math. Comput. 88, No. 318, 1533--1557 (2019; Zbl 1416.65421) Full Text: DOI
Morini, Benedetta; Porcelli, Margherita; Toint, Philippe L. Approximate norm descent methods for constrained nonlinear systems. (English) Zbl 1383.65051 Math. Comput. 87, No. 311, 1327-1351 (2018). MSC: 65H10 65K05 90C25 90C53 90C56 PDFBibTeX XMLCite \textit{B. Morini} et al., Math. Comput. 87, No. 311, 1327--1351 (2018; Zbl 1383.65051) Full Text: DOI
Baumstark, Simon; Faou, Erwan; Schratz, Katharina Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting. (English) Zbl 1384.65088 Math. Comput. 87, No. 311, 1227-1254 (2018). MSC: 65P10 35Q40 65M12 35Q55 PDFBibTeX XMLCite \textit{S. Baumstark} et al., Math. Comput. 87, No. 311, 1227--1254 (2018; Zbl 1384.65088) Full Text: DOI arXiv
Chartier, Philippe; Méhats, Florian; Thalhammer, Mechthild; Zhang, Yong Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. (English) Zbl 1344.35131 Math. Comput. 85, No. 302, 2863-2885 (2016). MSC: 35Q55 34K33 37L05 35Q41 PDFBibTeX XMLCite \textit{P. Chartier} et al., Math. Comput. 85, No. 302, 2863--2885 (2016; Zbl 1344.35131) Full Text: DOI HAL
Chen, Sheng; Shen, Jie; Wang, Li-Lian Generalized Jacobi functions and their applications to fractional differential equations. (English) Zbl 1335.65066 Math. Comput. 85, No. 300, 1603-1638 (2016). MSC: 65L60 34A34 34B15 65L05 65L10 34A08 65L20 65L70 PDFBibTeX XMLCite \textit{S. Chen} et al., Math. Comput. 85, No. 300, 1603--1638 (2016; Zbl 1335.65066) Full Text: DOI arXiv
Bouillard, Anne; Faou, Erwan; Zavidovique, Maxime Fast weak-KAM integrators for separable Hamiltonian systems. (English) Zbl 1326.65172 Math. Comput. 85, No. 297, 85-117 (2016). MSC: 65P10 65M12 35F21 35F25 PDFBibTeX XMLCite \textit{A. Bouillard} et al., Math. Comput. 85, No. 297, 85--117 (2016; Zbl 1326.65172) Full Text: DOI arXiv
Dong, Bo; Yu, Bo; Yu, Yan A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems. (English) Zbl 1327.13102 Math. Comput. 83, No. 288, 1847-1868 (2014). MSC: 13P15 65H20 65H10 14Q99 68W30 PDFBibTeX XMLCite \textit{B. Dong} et al., Math. Comput. 83, No. 288, 1847--1868 (2014; Zbl 1327.13102) Full Text: DOI
Fan, Jinyan Accelerating the modified Levenberg-Marquardt method for nonlinear equations. (English) Zbl 1296.65077 Math. Comput. 83, No. 287, 1173-1187 (2014). Reviewer: Zhen Mei (Toronto) MSC: 65H10 PDFBibTeX XMLCite \textit{J. Fan}, Math. Comput. 83, No. 287, 1173--1187 (2014; Zbl 1296.65077) Full Text: DOI
Fan, Jinyan The modified Levenberg-Marquardt method for nonlinear equations with cubic convergence. (English) Zbl 1242.65103 Math. Comput. 81, No. 277, 447-466 (2012). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65H10 PDFBibTeX XMLCite \textit{J. Fan}, Math. Comput. 81, No. 277, 447--466 (2012; Zbl 1242.65103) Full Text: DOI
Li, Ren-Cang; Kahan, William A family of anadromic numerical methods for matrix Riccati differential equations. (English) Zbl 1236.65080 Math. Comput. 81, No. 277, 233-265 (2012). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{R.-C. Li} and \textit{W. Kahan}, Math. Comput. 81, No. 277, 233--265 (2012; Zbl 1236.65080) Full Text: DOI
Dayton, Barry H.; Li, Tien-Yien; Zeng, Zhonggang Multiple zeros of nonlinear systems. (English) Zbl 1242.65102 Math. Comput. 80, No. 276, 2143-2168 (2011). Reviewer: János Karátson (Budapest) MSC: 65H10 PDFBibTeX XMLCite \textit{B. H. Dayton} et al., Math. Comput. 80, No. 276, 2143--2168 (2011; Zbl 1242.65102) Full Text: DOI arXiv
Boonyasiriwat, C.; Sikorski, K.; Tsay, C. Circumscribed ellipsoid algorithm for fixed-point problems. (English) Zbl 1220.65064 Math. Comput. 80, No. 275, 1703-1723 (2011). MSC: 65J15 47H10 47J25 47H09 65H10 65Y20 PDFBibTeX XMLCite \textit{C. Boonyasiriwat} et al., Math. Comput. 80, No. 275, 1703--1723 (2011; Zbl 1220.65064) Full Text: DOI
Hundsdorfer, W.; Spijker, M. N. Boundedness and strong stability of Runge-Kutta methods. (English) Zbl 1218.65068 Math. Comput. 80, No. 274, 863-886 (2011). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L05 65L06 65L20 34A34 65M20 PDFBibTeX XMLCite \textit{W. Hundsdorfer} and \textit{M. N. Spijker}, Math. Comput. 80, No. 274, 863--886 (2011; Zbl 1218.65068) Full Text: DOI
Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. Regeneration homotopies for solving systems of polynomials. (English) Zbl 1221.65121 Math. Comput. 80, No. 273, 345-377 (2011). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 65H20 13P05 68W30 65H04 14Q15 30C15 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Math. Comput. 80, No. 273, 345--377 (2011; Zbl 1221.65121) Full Text: DOI
Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei Integral deferred correction methods constructed with high order Runge-Kutta integrators. (English) Zbl 1209.65073 Math. Comput. 79, No. 270, 761-783 (2010). Reviewer: Josep J. Masdemont (Barcelona) MSC: 65L06 34A34 65L20 65L05 65L70 PDFBibTeX XMLCite \textit{A. Christlieb} et al., Math. Comput. 79, No. 270, 761--783 (2010; Zbl 1209.65073) Full Text: DOI
Guo, Ben-Yu; Wang, Zhong-Qing; Tian, Hong-Jiong; Wang, Li-Lian Integration processes of ordinary differential equations based on Laguerre-Radau interpolations. (English) Zbl 1127.65047 Math. Comput. 77, No. 261, 181-199 (2008). MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{B.-Y. Guo} et al., Math. Comput. 77, No. 261, 181--199 (2008; Zbl 1127.65047) Full Text: DOI
Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles Numerical integrators based on modified differential equations. (English) Zbl 1122.65059 Math. Comput. 76, No. 260, 1941-1953 (2007). MSC: 65L05 65L06 34A34 65P10 37M15 70E15 PDFBibTeX XMLCite \textit{P. Chartier} et al., Math. Comput. 76, No. 260, 1941--1953 (2007; Zbl 1122.65059) Full Text: DOI
Elling, Volker A Lax-Wendroff type theorem for unstructured quasi-uniform grids. (English) Zbl 1110.65060 Math. Comput. 76, No. 257, 251-272 (2007). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L05 65L50 34A34 65L20 PDFBibTeX XMLCite \textit{V. Elling}, Math. Comput. 76, No. 257, 251--272 (2007; Zbl 1110.65060) Full Text: DOI arXiv
La Cruz, William; Martínez, José Mario; Raydan, Marcos Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. (English) Zbl 1122.65049 Math. Comput. 75, No. 255, 1429-1448 (2006). MSC: 65H10 65K10 90C30 PDFBibTeX XMLCite \textit{W. La Cruz} et al., Math. Comput. 75, No. 255, 1429--1448 (2006; Zbl 1122.65049) Full Text: DOI
Liu, M. Z.; Yang, Z. W.; Xu, Y. The stability of modified Runge-Kutta methods for the pantograph equation. (English) Zbl 1094.65075 Math. Comput. 75, No. 255, 1201-1215 (2006). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65L20 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{M. Z. Liu} et al., Math. Comput. 75, No. 255, 1201--1215 (2006; Zbl 1094.65075) Full Text: DOI
Hundsdorfer, Willem; Ruuth, Steven J. On monotonicity and boundedness properties of linear multistep methods. (English) Zbl 1092.65059 Math. Comput. 75, No. 254, 655-672 (2006). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{W. Hundsdorfer} and \textit{S. J. Ruuth}, Math. Comput. 75, No. 254, 655--672 (2006; Zbl 1092.65059) Full Text: DOI
Engquist, Bjorn; Tsai, Yen-Hsi Heterogeneous multiscale methods for stiff ordinary differential equations. (English) Zbl 1081.65075 Math. Comput. 74, No. 252, 1707-1742 (2005). MSC: 65L20 65P20 37M20 65Y20 65L05 34A34 PDFBibTeX XMLCite \textit{B. Engquist} and \textit{Y.-H. Tsai}, Math. Comput. 74, No. 252, 1707--1742 (2005; Zbl 1081.65075) Full Text: DOI
Syam, Muhammed I. Conjugate gradient predictor corrector method for solving large scale problems. (English) Zbl 1062.65055 Math. Comput. 74, No. 250, 805-818 (2005). MSC: 65H10 65H20 35J65 65N30 34B15 65L12 PDFBibTeX XMLCite \textit{M. I. Syam}, Math. Comput. 74, No. 250, 805--818 (2005; Zbl 1062.65055) Full Text: DOI
Zhao, Hongkai A fast sweeping method for eikonal equations. (English) Zbl 1070.65113 Math. Comput. 74, No. 250, 603-627 (2005). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65N06 65N12 65N15 35L50 35L60 PDFBibTeX XMLCite \textit{H. Zhao}, Math. Comput. 74, No. 250, 603--627 (2005; Zbl 1070.65113) Full Text: DOI
Ye, Mao Existence and asymptotic stability of relaxation discrete shock profiles. (English) Zbl 1056.65089 Math. Comput. 73, No. 247, 1261-1296 (2004). Reviewer: Mária Lukáčová (Hamburg) MSC: 65M12 35L65 65M06 35L67 65M15 PDFBibTeX XMLCite \textit{M. Ye}, Math. Comput. 73, No. 247, 1261--1296 (2004; Zbl 1056.65089) Full Text: DOI
Huang, Yunqing; Shi, Zhongci; Tang, Tao; Xue, Weimin A multilevel successive iteration method for nonlinear elliptic problems. (English) Zbl 1042.65101 Math. Comput. 73, No. 246, 525-539 (2004). Reviewer: J. Lovíšek (Bratislava) MSC: 65N55 65N30 35J65 65H10 65N12 65N15 65Y20 PDFBibTeX XMLCite \textit{Y. Huang} et al., Math. Comput. 73, No. 246, 525--539 (2004; Zbl 1042.65101) Full Text: DOI
Aregba-Driollet, D.; Natalini, R.; Tang, S. Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems. (English) Zbl 1031.65093 Math. Comput. 73, No. 245, 63-94 (2004). Reviewer: Leonid B.Chubarov (Novosibirsk) MSC: 65M06 65M12 76M20 82C40 35K55 35K65 76R50 PDFBibTeX XMLCite \textit{D. Aregba-Driollet} et al., Math. Comput. 73, No. 245, 63--94 (2004; Zbl 1031.65093) Full Text: DOI
Cano, B.; Durán, A. A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems. (English) Zbl 1029.65082 Math. Comput. 72, No. 244, 1803-1816 (2003). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65L06 70-08 65L05 65L50 65L70 70F05 70H33 34A34 PDFBibTeX XMLCite \textit{B. Cano} and \textit{A. Durán}, Math. Comput. 72, No. 244, 1803--1816 (2003; Zbl 1029.65082) Full Text: DOI
Cano, B.; Durán, A. Analysis of variable-stepsize linear multistep methods with special emphasis on symmetric ones. (English) Zbl 1029.65081 Math. Comput. 72, No. 244, 1769-1801 (2003). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65L06 65L50 65L20 34A34 70F05 70H33 34C25 65L70 65L05 70-08 PDFBibTeX XMLCite \textit{B. Cano} and \textit{A. Durán}, Math. Comput. 72, No. 244, 1769--1801 (2003; Zbl 1029.65081) Full Text: DOI
Dian, Jianwei; Kearfott, R. Baker Existence verification for singular and nonsmooth zeros of real nonlinear systems. (English) Zbl 1025.65030 Math. Comput. 72, No. 242, 757-766 (2003). Reviewer: Eugene L.Allgower (Fort Collins) MSC: 65H10 65G40 65L10 65G20 34B15 65L12 PDFBibTeX XMLCite \textit{J. Dian} and \textit{R. B. Kearfott}, Math. Comput. 72, No. 242, 757--766 (2003; Zbl 1025.65030) Full Text: DOI
Roberts, A. J. A holistic finite difference approach models linear dynamics consistently. (English) Zbl 1008.37047 Math. Comput. 72, No. 241, 247-262 (2003). MSC: 37L65 65M06 37L10 37M99 PDFBibTeX XMLCite \textit{A. J. Roberts}, Math. Comput. 72, No. 241, 247--262 (2003; Zbl 1008.37047) Full Text: DOI arXiv
Bakaev, Nikolai; Ostermann, Alexander Long-term stability of variable stepsize approximations of semigroups. (English) Zbl 1005.65076 Math. Comput. 71, No. 240, 1545-1567 (2002). Reviewer: Thomas Sonar (Braunschweig) MSC: 65L20 65L50 34A34 65L05 PDFBibTeX XMLCite \textit{N. Bakaev} and \textit{A. Ostermann}, Math. Comput. 71, No. 240, 1545--1567 (2002; Zbl 1005.65076) Full Text: DOI
Estep, Donald J.; Stuart, Andrew M. The dynamical behavior of the discontinuous Galerkin method and related difference schemes. (English) Zbl 0998.65080 Math. Comput. 71, No. 239, 1075-1103 (2002). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L60 34A34 65L20 65L12 65L05 PDFBibTeX XMLCite \textit{D. J. Estep} and \textit{A. M. Stuart}, Math. Comput. 71, No. 239, 1075--1103 (2002; Zbl 0998.65080) Full Text: DOI
Krejic, Natasa; Luzanin, Zorana Newton-like method with modification of the right-hand-side vector. (English) Zbl 0985.65050 Math. Comput. 71, No. 237, 237-250 (2002). Reviewer: Vasile Berinde (Baia Mare) MSC: 65H10 PDFBibTeX XMLCite \textit{N. Krejic} and \textit{Z. Luzanin}, Math. Comput. 71, No. 237, 237--250 (2002; Zbl 0985.65050) Full Text: DOI
Kauthen, J.-P. The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods. (English) Zbl 0979.65122 Math. Comput. 70, No. 236, 1503-1514 (2001). Reviewer: Johannes Elschner (Berlin) MSC: 65R20 45G15 PDFBibTeX XMLCite \textit{J. P. Kauthen}, Math. Comput. 70, No. 236, 1503--1514 (2001; Zbl 0979.65122) Full Text: DOI
Ganesh, M.; Steinbach, O. Boundary element methods for potential problems with nonlinear boundary conditions. (English) Zbl 0971.65107 Math. Comput. 70, No. 235, 1031-1042 (2001). MSC: 65N38 65H10 65F35 35J65 65N15 PDFBibTeX XMLCite \textit{M. Ganesh} and \textit{O. Steinbach}, Math. Comput. 70, No. 235, 1031--1042 (2001; Zbl 0971.65107) Full Text: DOI
Li, Tiejun; Bai, Fengshan Minimizing multi-homogeneous Bézout numbers by a local search method. (English) Zbl 1013.65046 Math. Comput. 70, No. 234, 767-787 (2001). Reviewer: H.Matthies (Braunschweig) MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{T. Li} and \textit{F. Bai}, Math. Comput. 70, No. 234, 767--787 (2001; Zbl 1013.65046) Full Text: DOI
Li, Shoufu Stability and \(B\)-convergence properties of multistep Runge-Kutta methods. (English) Zbl 0954.65067 Math. Comput. 69, No. 232, 1481-1504 (2000). Reviewer: Iulian Coroian (Baia Mare) MSC: 65L20 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{S. Li}, Math. Comput. 69, No. 232, 1481--1504 (2000; Zbl 0954.65067) Full Text: DOI
Dedieu, J. P.; Shub, M. Newton’s method for overdetermined systems of equations. (English) Zbl 0949.65061 Math. Comput. 69, No. 231, 1099-1115 (2000). Reviewer: Zhen Mei (North York) MSC: 65J15 47J25 65Y10 PDFBibTeX XMLCite \textit{J. P. Dedieu} and \textit{M. Shub}, Math. Comput. 69, No. 231, 1099--1115 (2000; Zbl 0949.65061) Full Text: DOI
Gosse, Laurent; James, François Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients. (English) Zbl 0949.65094 Math. Comput. 69, No. 231, 987-1015 (2000). Reviewer: L.B.Chubarov (Novosibirsk) MSC: 65M06 65M12 35L65 35L45 PDFBibTeX XMLCite \textit{L. Gosse} and \textit{F. James}, Math. Comput. 69, No. 231, 987--1015 (2000; Zbl 0949.65094) Full Text: DOI
Qi, Liqun; Sun, Defeng Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. (English) Zbl 0947.90117 Math. Comput. 69, No. 229, 283-304 (2000). MSC: 90C33 90C30 65H10 90C51 PDFBibTeX XMLCite \textit{L. Qi} and \textit{D. Sun}, Math. Comput. 69, No. 229, 283--304 (2000; Zbl 0947.90117) Full Text: DOI
Morini, Benedetta Convergence behaviour of inexact Newton methods. (English) Zbl 0933.65050 Math. Comput. 68, No. 228, 1605-1613 (1999). Reviewer: V.Berinde (Baia Mare) MSC: 65H10 PDFBibTeX XMLCite \textit{B. Morini}, Math. Comput. 68, No. 228, 1605--1613 (1999; Zbl 0933.65050) Full Text: DOI
Böhmer, Klaus; Govaerts, Willy; Janovský, Vladimír Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies. (English) Zbl 0918.65039 Math. Comput. 68, No. 227, 1097-1108 (1999). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 65H10 PDFBibTeX XMLCite \textit{K. Böhmer} et al., Math. Comput. 68, No. 227, 1097--1108 (1999; Zbl 0918.65039) Full Text: DOI
Butcher, J. C.; Chan, R. P. K. Efficient Runge-Kutta integrators for index-2 differential algebraic equations. (English) Zbl 0899.65048 Math. Comput. 67, No. 223, 1001-1021 (1998). Reviewer: C.Bendtsen (Lyngby) MSC: 65L06 65L20 34A34 34A09 65L05 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{R. P. K. Chan}, Math. Comput. 67, No. 223, 1001--1021 (1998; Zbl 0899.65048) Full Text: DOI
Chen, X.; Qi, L.; Sun, D. Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. (English) Zbl 0894.90143 Math. Comput. 67, No. 222, 519-540 (1998). MSC: 90C33 65H10 90C30 49J40 PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Comput. 67, No. 222, 519--540 (1998; Zbl 0894.90143) Full Text: DOI
Akrivis, Georgios; Crouzeix, Michel; Makridakis, Charalambos Implicit-explicit multistep finite element methods for nonlinear parabolic problems. (English) Zbl 0896.65066 Math. Comput. 67, No. 222, 457-477 (1998). Reviewer: N.F.F.Ebecken (Rio de Janeiro) MSC: 65M60 65M12 65L06 65L60 35K55 35K57 34A34 PDFBibTeX XMLCite \textit{G. Akrivis} et al., Math. Comput. 67, No. 222, 457--477 (1998; Zbl 0896.65066) Full Text: DOI
Gottlieb, Sigal; Shu, Chi-Wang Total variation diminishing Runge-Kutta schemes. (English) Zbl 0897.65058 Math. Comput. 67, No. 221, 73-85 (1998). Reviewer: E.Hairer (Genève) MSC: 65M20 65M50 65M06 65M60 35L65 65L06 34A34 PDFBibTeX XMLCite \textit{S. Gottlieb} and \textit{C.-W. Shu}, Math. Comput. 67, No. 221, 73--85 (1998; Zbl 0897.65058) Full Text: DOI
Malta, Iaci; Saldanha, Nicolau C.; Tomei, Carlos The numerical inversion of functions from the plane to the plane. (English) Zbl 0853.57029 Math. Comput. 65, No. 216, 1531-1552 (1996). MSC: 57R45 65H10 65H20 57R42 PDFBibTeX XMLCite \textit{I. Malta} et al., Math. Comput. 65, No. 216, 1531--1552 (1996; Zbl 0853.57029) Full Text: DOI
Papakostas, S. N.; Papageorgiou, G. A family of fifth-order Runge-Kutta pairs. (English) Zbl 0938.65098 Math. Comput. 65, No. 215, 1165-1181 (1996). MSC: 65L06 65L05 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{S. N. Papakostas} and \textit{G. Papageorgiou}, Math. Comput. 65, No. 215, 1165--1181 (1996; Zbl 0938.65098) Full Text: DOI
Le Tallec, Patrick; Sassi, Taoufik Domain decomposition with nonmatching grids: Augmented Lagrangian approach. (English) Zbl 0849.65087 Math. Comput. 64, No. 212, 1367-1396 (1995). Reviewer: W.Petry (Düsseldorf) MSC: 65N55 65N30 65F10 65F35 35J25 74B20 PDFBibTeX XMLCite \textit{P. Le Tallec} and \textit{T. Sassi}, Math. Comput. 64, No. 212, 1367--1396 (1995; Zbl 0849.65087) Full Text: DOI Link
Hill, Adrian T.; Süli, Endre Upper semicontinuity of attractors for linear multistep methods approximating sectorial evolution equations. (English) Zbl 0830.65049 Math. Comput. 64, No. 211, 1097-1122 (1995). Reviewer: J.Albrycht (Poznań) MSC: 65J15 65L20 65L06 65M20 65M12 34G20 65L05 37D45 35G10 35K25 PDFBibTeX XMLCite \textit{A. T. Hill} and \textit{E. Süli}, Math. Comput. 64, No. 211, 1097--1122 (1995; Zbl 0830.65049) Full Text: DOI
Li, Shoufu \(B\)-convergence properties of multistep Runge-Kutta methods. (English) Zbl 0799.65082 Math. Comput. 62, No. 206, 565-575 (1994). Reviewer: P.Chocholatý (Bratislava) MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{S. Li}, Math. Comput. 62, No. 206, 565--575 (1994; Zbl 0799.65082) Full Text: DOI
Rabier, Patrick J.; Rheinboldt, Werner C. On the computation of impasse points of quasi-linear differential- algebraic equations. (English) Zbl 0793.65050 Math. Comput. 62, No. 205, 133-154 (1994). Reviewer: Michael Sever (Jerusalem) MSC: 65L05 65H10 34A34 37G99 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{W. C. Rheinboldt}, Math. Comput. 62, No. 205, 133--154 (1994; Zbl 0793.65050) Full Text: DOI
Makridakis, Charalambos G. Finite element approximations of nonlinear elastic waves. (English) Zbl 0784.73080 Math. Comput. 61, No. 204, 569-594 (1993). MSC: 74S05 74J10 74B20 PDFBibTeX XMLCite \textit{C. G. Makridakis}, Math. Comput. 61, No. 204, 569--594 (1993; Zbl 0784.73080) Full Text: DOI
Suleiman, Mohamed Bin Some necessary conditions for convergence of the GBDF methods. (English) Zbl 0781.65064 Math. Comput. 60, No. 202, 635-649 (1993). Reviewer: S.Gocheva-Ilieva (El Menara) MSC: 65L05 65L20 34A34 34E13 PDFBibTeX XMLCite \textit{M. B. Suleiman}, Math. Comput. 60, No. 202, 635--649 (1993; Zbl 0781.65064) Full Text: DOI
van der Houwen, P. J.; Sommeijer, B. P.; Couzy, W. Embedded diagonally implicit Runge-Kutta algorithms on parallel computers. (English) Zbl 0744.65050 Math. Comput. 58, No. 197, 135-159 (1992). Reviewer: W.Schönauer (Karlsruhe) MSC: 65L06 65Y05 65L05 65L20 34A34 34E13 PDFBibTeX XMLCite \textit{P. J. van der Houwen} et al., Math. Comput. 58, No. 197, 135--159 (1992; Zbl 0744.65050) Full Text: DOI Link
Hundsdorfer, Willem Unconditional convergence of some Crank-Nicolson lod methods for initial- boundary value problems. (English) Zbl 0746.65067 Math. Comput. 58, No. 197, 35-53 (1992). Reviewer: E.Schechter (Kaiserslautern) MSC: 65M12 65M15 65M20 35K55 34E13 65L05 PDFBibTeX XMLCite \textit{W. Hundsdorfer}, Math. Comput. 58, No. 197, 35--53 (1992; Zbl 0746.65067) Full Text: DOI Link
Alexander, Roger The modified Newton method in the solution of stiff ordinary differential equations. (English) Zbl 0734.65060 Math. Comput. 57, No. 196, 673-701 (1991). Reviewer: M.Bartušek (Brno) MSC: 65L05 65H10 65L06 34A34 34E13 PDFBibTeX XMLCite \textit{R. Alexander}, Math. Comput. 57, No. 196, 673--701 (1991; Zbl 0734.65060) Full Text: DOI
Lenferink, H. W. J.; Spijker, M. N. On the use of stability regions in the numerical analysis of initial value problems. (English) Zbl 0727.65072 Math. Comput. 57, No. 195, 221-237 (1991). Reviewer: H.R.Schwarz (Zürich) MSC: 65L20 65M12 65L05 34A34 34K99 PDFBibTeX XMLCite \textit{H. W. J. Lenferink} and \textit{M. N. Spijker}, Math. Comput. 57, No. 195, 221--237 (1991; Zbl 0727.65072) Full Text: DOI
Lenferink, H. W. J. Contractivity-preserving implicit linear multistep methods. (English) Zbl 0722.65035 Math. Comput. 56, No. 193, 177-199 (1991). Reviewer: H.Ade (Mainz) MSC: 65L05 65L20 65L50 34A34 PDFBibTeX XMLCite \textit{H. W. J. Lenferink}, Math. Comput. 56, No. 193, 177--199 (1991; Zbl 0722.65035) Full Text: DOI
Li, T. Y.; Wang, Xiaoshen Solving deficient polynomial systems with homotopies which keep the subschemes at infinity invariant. (English) Zbl 0722.65028 Math. Comput. 56, No. 194, 693-710 (1991). Reviewer: Shenquan Xie (Xiangtan) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{T. Y. Li} and \textit{X. Wang}, Math. Comput. 56, No. 194, 693--710 (1991; Zbl 0722.65028) Full Text: DOI
Schneider, Claus Rosenbrock-type methods adapted to differential-algebraic systems. (English) Zbl 0709.65057 Math. Comput. 56, No. 193, 201-213 (1991). Reviewer: E.Hairer MSC: 65L05 65H10 65L06 34A34 PDFBibTeX XMLCite \textit{C. Schneider}, Math. Comput. 56, No. 193, 201--213 (1991; Zbl 0709.65057) Full Text: DOI
Hundsdorfer, W. H.; Verwer, J. G. Stability and convergence of the Peaceman-Rachford ADI method for initial-boundary value problems. (English) Zbl 0689.65064 Math. Comput. 53, No. 187, 81-101 (1989). Reviewer: V.Seppälä MSC: 65N12 65F10 65N40 65N15 65N22 35K60 PDFBibTeX XMLCite \textit{W. H. Hundsdorfer} and \textit{J. G. Verwer}, Math. Comput. 53, No. 187, 81--101 (1989; Zbl 0689.65064) Full Text: DOI
Malle, Gunter Polynomials with Galois groups \(Aut(M_{22})\), \(M_{22}\), and \(PSL_ 3({\mathbb{F}}_ 4)\cdot 2_ 2\) over \({\mathbb{Q}}\). (English) Zbl 0699.12036 Math. Comput. 51, No. 184, 761-768 (1988). MSC: 12F10 12E10 65H10 12-04 PDFBibTeX XMLCite \textit{G. Malle}, Math. Comput. 51, No. 184, 761--768 (1988; Zbl 0699.12036) Full Text: DOI
Dennis, J. E. jun.; Li, Guangye A hybrid algorithm for solving sparse nonlinear systems of equations. (English) Zbl 0657.65064 Math. Comput. 50, No. 181, 155-166 (1988). Reviewer: T.F.Coleman MSC: 65H10 65K05 PDFBibTeX XMLCite \textit{J. E. Dennis jun.} and \textit{G. Li}, Math. Comput. 50, No. 181, 155--166 (1988; Zbl 0657.65064) Full Text: DOI
Iserles, Arieh; Nørsett, Syvert P. Two-step methods and bi-orthogonality. (English) Zbl 0632.65080 Math. Comput. 49, 543-552 (1987). Reviewer: A.Bleyer MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{A. Iserles} and \textit{S. P. Nørsett}, Math. Comput. 49, 543--552 (1987; Zbl 0632.65080) Full Text: DOI
Kearfott, R. Baker Abstract generalized bisection and a cost bound. (English) Zbl 0632.65055 Math. Comput. 49, 187-202 (1987). Reviewer: E.Allgower MSC: 65H10 65K05 90C30 68Q25 PDFBibTeX XMLCite \textit{R. B. Kearfott}, Math. Comput. 49, 187--202 (1987; Zbl 0632.65055) Full Text: DOI
Ananthakrishnaiah, U. P-stable Obrechkoff methods with minimal phase-lag for periodic initial value problems. (English) Zbl 0629.65082 Math. Comput. 49, 553-559 (1987). Reviewer: E.Hairer MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{U. Ananthakrishnaiah}, Math. Comput. 49, 553--559 (1987; Zbl 0629.65082) Full Text: DOI
Toint, Ph. L. Numerical solution of large sets of algebraic nonlinear equations. (English) Zbl 0614.65058 Math. Comput. 46, 175-189 (1986). Reviewer: W.C.Rheinboldt MSC: 65H10 65N30 35J65 PDFBibTeX XMLCite \textit{Ph. L. Toint}, Math. Comput. 46, 175--189 (1986; Zbl 0614.65058) Full Text: DOI
Kelley, C. T. A Shamanskii-like acceleration scheme for nonlinear equations at singular roots. (English) Zbl 0613.65062 Math. Comput. 47, 609-623 (1986). Reviewer: J.Kolomý MSC: 65J15 65H10 65B05 47J25 PDFBibTeX XMLCite \textit{C. T. Kelley}, Math. Comput. 47, 609--623 (1986; Zbl 0613.65062) Full Text: DOI Link
Zennaro, M. Natural continuous extensions of Runge-Kutta methods. (English) Zbl 0608.65043 Math. Comput. 46, 119-133 (1986). Reviewer: J.H.Verner MSC: 65L05 34A34 34K05 PDFBibTeX XMLCite \textit{M. Zennaro}, Math. Comput. 46, 119--133 (1986; Zbl 0608.65043) Full Text: DOI
Lötstedt, Per; Petzold, Linda Numerical solution of nonlinear differential equations with algebraic constraints. I: Convergence results for backward differentiation formulas. (English) Zbl 0601.65060 Math. Comput. 46, 491-516 (1986). Reviewer: L.M.Berkovich MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{P. Lötstedt} and \textit{L. Petzold}, Math. Comput. 46, 491--516 (1986; Zbl 0601.65060) Full Text: DOI
Bigge, J.; Bohl, E. Deformations of the bifurcation diagram due to discretization. (English) Zbl 0606.65058 Math. Comput. 45, 393-403 (1985). Reviewer: E.Allgower MSC: 65L10 65H10 34B15 34E15 92B05 92Exx PDFBibTeX XMLCite \textit{J. Bigge} and \textit{E. Bohl}, Math. Comput. 45, 393--403 (1985; Zbl 0606.65058) Full Text: DOI
Jeltsch, Rolf; Strack, Klaus-Günther Accuracy bounds for semidiscretizations of hyperbolic problems. (English) Zbl 0594.65059 Math. Comput. 45, 365-376 (1985). Reviewer: J.D.P.Donnelly MSC: 65L05 65M20 65L20 35L45 34A34 PDFBibTeX XMLCite \textit{R. Jeltsch} and \textit{K.-G. Strack}, Math. Comput. 45, 365--376 (1985; Zbl 0594.65059) Full Text: DOI
Axelsson, A. O. H.; Verwer, J. G. Supplement to Boundary value techniques for initial value problems in ordinary differential equations. (English) Zbl 0586.65053 Math. Comput. 45, S1-S4 (1985). Reviewer: A.Coţiu MSC: 65L05 65L10 34A34 65L60 PDFBibTeX XMLCite \textit{A. O. H. Axelsson} and \textit{J. G. Verwer}, Math. Comput. 45, S1--S4 (1985; Zbl 0586.65053) Full Text: DOI
Axelsson, A. O. H.; Verwer, J. G. Boundary value techniques for initial value problems in ordinary differential equations. (English) Zbl 0586.65052 Math. Comput. 45, 153-171 (1985). Reviewer: A.Coţiu MSC: 65L05 65L10 34A34 65L60 PDFBibTeX XMLCite \textit{A. O. H. Axelsson} and \textit{J. G. Verwer}, Math. Comput. 45, 153--171 (1985; Zbl 0586.65052) Full Text: DOI
Porsching, T. A. Estimation of the error in the reduced basis method solution of nonlinear equations. (English) Zbl 0586.65040 Math. Comput. 45, 487-496 (1985). Reviewer: N.Vulchanov MSC: 65H10 65N30 35J65 PDFBibTeX XMLCite \textit{T. A. Porsching}, Math. Comput. 45, 487--496 (1985; Zbl 0586.65040) Full Text: DOI
de Hoog, Frank; Weiss, Richard The application of Runge-Kutta schemes to singular initial value problems. (English) Zbl 0566.65056 Math. Comput. 44, 93-103 (1985). Reviewer: G.Merz MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{F. de Hoog} and \textit{R. Weiss}, Math. Comput. 44, 93--103 (1985; Zbl 0566.65056) Full Text: DOI
Rheinboldt, Werner C. Differential-algebraic systems as differential equations on manifolds. (English) Zbl 0581.65058 Math. Comput. 43, 473-482 (1984). Reviewer: K.Burrage MSC: 65L05 34A34 37N99 PDFBibTeX XMLCite \textit{W. C. Rheinboldt}, Math. Comput. 43, 473--482 (1984; Zbl 0581.65058) Full Text: DOI
Onumanyi, P.; Ortiz, E. L. Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the Tau method. (English) Zbl 0574.65091 Math. Comput. 43, 189-203 (1984). MSC: 65L10 34B05 34B15 34E15 PDFBibTeX XMLCite \textit{P. Onumanyi} and \textit{E. L. Ortiz}, Math. Comput. 43, 189--203 (1984; Zbl 0574.65091) Full Text: DOI
Scheid, Robert E. jun. The accurate numerical solution of highly oscillatory ordinary differential equations. (English) Zbl 0529.65051 Math. Comput. 41, 487-509 (1983). MSC: 65L05 65L07 34A34 PDFBibTeX XMLCite \textit{R. E. Scheid jun.}, Math. Comput. 41, 487--509 (1983; Zbl 0529.65051) Full Text: DOI
Bank, Randolph E.; Rose, Donald J. Analysis of a multilevel iterative method for nonlinear finite element equations. (English) Zbl 0496.65060 Math. Comput. 39, 453-465 (1982). MSC: 65N30 65H10 35J65 PDFBibTeX XMLCite \textit{R. E. Bank} and \textit{D. J. Rose}, Math. Comput. 39, 453--465 (1982; Zbl 0496.65060) Full Text: DOI
Bank, Randolph E.; Dupont, Todd An optimal order process for solving finite element equations. (English) Zbl 0466.65059 Math. Comput. 36, 35-51 (1981). MSC: 65N30 65N22 65H10 65F10 35J65 PDFBibTeX XMLCite \textit{R. E. Bank} and \textit{T. Dupont}, Math. Comput. 36, 35--51 (1981; Zbl 0466.65059) Full Text: DOI
Nocedal, Jorge Updating quasi-Newton matrices with limited storage. (English) Zbl 0464.65037 Math. Comput. 35, 773-782 (1980). MSC: 65K05 65F30 65H10 90C30 PDFBibTeX XMLCite \textit{J. Nocedal}, Math. Comput. 35, 773--782 (1980; Zbl 0464.65037) Full Text: DOI
Katti, C. P. Five-diagonal sixth order methods for two-point boundary value problems involving fourth order differential equations. (English) Zbl 0454.65066 Math. Comput. 35, 1177-1179 (1980). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{C. P. Katti}, Math. Comput. 35, 1177--1179 (1980; Zbl 0454.65066) Full Text: DOI
Abarbanel, Saul; Gottlieb, David Stability of two-dimensional initial boundary value problems using Leap- Frog type schemes. (English) Zbl 0447.65055 Math. Comput. 33, 1145-1155 (1979). MSC: 65M12 65N12 35L50 35L60 PDFBibTeX XMLCite \textit{S. Abarbanel} and \textit{D. Gottlieb}, Math. Comput. 33, 1145--1155 (1979; Zbl 0447.65055) Full Text: DOI
Sikorski, Krzysztof A three-dimensional analogue to the method of bisections for solving nonlinear equations. (English) Zbl 0412.65029 Math. Comput. 33, 722-738 (1979). MSC: 65H10 51M20 PDFBibTeX XMLCite \textit{K. Sikorski}, Math. Comput. 33, 722--738 (1979; Zbl 0412.65029) Full Text: DOI
Gay, D. M. Corrigenda to “Modifying singular values: existence of solutions to systems of nonlinear equations having a possibly singular Jacobian matrix”. (English) Zbl 0399.65035 Math. Comput. 33, 432-433 (1979). MSC: 65H10 PDFBibTeX XMLCite \textit{D. M. Gay}, Math. Comput. 33, 432--433 (1979; Zbl 0399.65035) Full Text: DOI
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. Finding zeroes of maps: homotopy methods that are constructive with probability one. (English) Zbl 0398.65029 Math. Comput. 32, 887-899 (1978). MSC: 65H10 54C25 34B15 55M25 PDFBibTeX XMLCite \textit{S.-N. Chow} et al., Math. Comput. 32, 887--899 (1978; Zbl 0398.65029) Full Text: DOI
Kearfott, Baker A proof of convergence and an error bound for the method of bisection in \(R^n\). (English) Zbl 0395.65021 Math. Comput. 32, 1147-1153 (1978). MSC: 65H10 05-04 55M25 PDFBibTeX XMLCite \textit{B. Kearfott}, Math. Comput. 32, 1147--1153 (1978; Zbl 0395.65021) Full Text: DOI
Rall, L. B. A quadratically convergent iteration method for computing zeros of operators satisfying autonomous differential equations. (English) Zbl 0328.65034 Math. Comput. 30, 112-114 (1976). MSC: 65J05 47J05 65H10 PDFBibTeX XMLCite \textit{L. B. Rall}, Math. Comput. 30, 112--114 (1976; Zbl 0328.65034) Full Text: DOI
Rheinboldt, Werner C. On measures of ill-conditioning for nonlinear equations. (English) Zbl 0328.65032 Math. Comput. 30, 104-111 (1976). MSC: 65H10 65J05 47J05 PDFBibTeX XMLCite \textit{W. C. Rheinboldt}, Math. Comput. 30, 104--111 (1976; Zbl 0328.65032) Full Text: DOI
Douglas, Jim jun.; Dupont, Todd A Galerkin method for a nonlinear Dirichlet problem. (English) Zbl 0306.65072 Math. Comput. 29, 689-696 (1975). MSC: 65N30 65H10 35J25 35J60 65N15 PDFBibTeX XMLCite \textit{J. Douglas jun.} and \textit{T. Dupont}, Math. Comput. 29, 689--696 (1975; Zbl 0306.65072) Full Text: DOI
Simpson, R. B. Existence and error estimates for solution of a discrete analog of nonlinear eigenvalue problems. (English) Zbl 0256.65048 Math. Comput. 26, 359-375 (1972). MSC: 65N25 35J60 35J67 PDFBibTeX XMLCite \textit{R. B. Simpson}, Math. Comput. 26, 359--375 (1972; Zbl 0256.65048) Full Text: DOI
Broyden, C. G. The convergence of an algorithm for solving sparse nonlinear systems. (English) Zbl 0227.65038 Math. Comput. 25, 285-294 (1971). MSC: 65H10 65H99 PDFBibTeX XMLCite \textit{C. G. Broyden}, Math. Comput. 25, 285--294 (1971; Zbl 0227.65038) Full Text: DOI