Edit Profile Keller, Herbert Bishop Compute Distance To: Compute Author ID: keller.herbert-bishop Published as: Keller, H. B.; Keller, Herbert B.; Keller, Herbert Bishop External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 143 Publications since 1949, including 7 Books Biographic References: 1 Publication all top 5 Co-Authors 49 single-authored 10 Reiss, Edward L. 9 Cebeci, Tuncer 6 Doedel, Eusebius J. 4 Decker, Dwight W. 4 Hagstrom, Thomas M. 4 Keller, Joseph Bishop 4 Lentini, Marianela 3 Dichmann, Donald J. 3 Galán-Vioque, Jorge 3 Keener, James P. 3 Paffenroth, Randy C. 3 Vanderbauwhede, Andre L. 2 Bauer, Louis 2 Bolstad, John H. 2 Brabston, D. C. 2 Callegari, Andrew J. 2 Isaacson, Eugene 2 Jepson, Allan D. 2 Kernevez, Jean-Pierre 2 Meyer-Spasche, Rita 2 Schreiber, Robert S. 2 Takami, Hideo 2 Williams, Peter G. 2 Yang, Zhonghua 1 Abrahamsson, Leif R. 1 Bauer, Frances 1 Berkant, N. 1 Chan, Tony Fan-Cheong 1 Cohen, Donald Sussman 1 de Boor, Carl 1 de Hoog, Frank Robert 1 de Santo, D. F. 1 Dellwo, David R. 1 Dinar, Nathan 1 Fawcett, John A. 1 Fier, J. M. 1 Franklin, Joel N. 1 Friedrichs, Kurt Otto 1 Giladi, Eldar 1 Glowinski, Roland 1 Greenberg, Herbert Julius 1 Henderson, Michael E. 1 Hirsh, Richard S. 1 Huilgol, Raja R. 1 Jang, Hong-Ming 1 Kelley, Carl T. 1 Kreiss, Heinz-Otto 1 Kwok, T. W. C. 1 Langford, William F. 1 Levine, DAvid A. 1 Matkowsky, Bernard J. 1 Nieuwstadt, Franciscus Theodorus Marie 1 Perozzi, D. J. 1 Reinhart, Laure 1 Reiss, L. E. 1 Romanov, Volodymyr A. 1 Saffman, Philip Geoffrey 1 Shroff, Gautam M. 1 Silivri, I. 1 Swenson, J. R. 1 Szeto, R. K.-H. 1 Thomée, Vidar 1 Wendroff, Burton 1 White, Andrew B. jun. 1 Whitham, Gerald Beresford 1 Wolfe, A. W. all top 5 Serials 11 SIAM Journal on Numerical Analysis 8 Communications on Pure and Applied Mathematics 8 Journal of Computational Physics 8 SIAM Journal on Applied Mathematics 6 SIAM Journal on Scientific and Statistical Computing 5 Quarterly of Applied Mathematics 4 Mathematics of Computation 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of the Society for Industrial & Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 Computers and Fluids 3 Numerische Mathematik 3 SIAM Journal on Mathematical Analysis 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Physics of Fluids 2 Journal of Differential Equations 2 SIAM Review 2 Bulletin of the American Mathematical Society 2 Journal of Mathematics and Mechanics 1 Acta Mechanica 1 AIAA Journal 1 American Mathematical Monthly 1 Computer Methods in Applied Mechanics and Engineering 1 Transport Theory and Statistical Physics 1 Applied Mathematics and Computation 1 Journal of the Association for Computing Machinery 1 Journal of Computer and System Sciences 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Non-Newtonian Fluid Mechanics 1 Journal of the Aerospace Sciences 1 Journal of Applied Physics 1 Journal of the Aeronautical Sciences 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis all top 5 Fields 54 Numerical analysis (65-XX) 31 Fluid mechanics (76-XX) 22 Ordinary differential equations (34-XX) 18 Partial differential equations (35-XX) 11 Operator theory (47-XX) 8 Mechanics of deformable solids (74-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 3,473 times in 2,937 Documents Cited by ▼ Year ▼ Analysis of numerical methods. Zbl 0168.13101Isaacson, E.; Keller, H. B. 640 1966 Numerical methods for two-point boundary-value problems. Zbl 0172.19503Keller, Herbert B. 341 1968 Some positone problems suggested by nonlinear heat generation. Zbl 0152.10401Keller, H. B.; Cohen, D. S. 163 1967 Numerical solution of bifurcation and nonlinear eigenvalue problems. Zbl 0581.65043Keller, H. B. 152 1977 Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre 138 1991 Driven cavity flows by efficient numerical techniques. Zbl 0503.76040Schreiber, R.; Keller, H. B. 134 1983 Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre 92 1991 On the solution of singular and semidefinite linear systems by iteration. Zbl 0135.37503Keller, H. B. 72 1965 Elliptic boundary value problems suggested by nonlinear diffusion processes. Zbl 0188.17102Keller, H. B. 70 1969 Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy. Zbl 0656.65063Keller, H. B. 62 1987 Accurate difference methods for nonlinear two-point boundary value problems. Zbl 0282.65065Keller, Herbert B. 60 1974 Steady two-dimensional viscous flow of an incompressible fluid past a circular cylinder. Zbl 0206.55004Takami, H.; Keller, H. B. 55 1969 Stabilization of unstable procedures: The recursive projection method. Zbl 0789.65037Shroff, Gautam M.; Keller, Herbert B. 49 1993 Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems. Zbl 0589.65075Glowinski, R.; Keller, H. B.; Reinhart, L. 47 1985 Boundary value problems on semi-infinite intervals and their numerical solution. Zbl 0465.65044Lentini, Marianela; Keller, Herbert B. 47 1980 Difference approximations for singular perturbations of systems of ordinary differential equations. Zbl 0314.65042Abrahamsson, L. R.; Keller, H. B.; Kreiss, H. O. 46 1974 Positive solutions of convex nonlinear eigenvalue problems. Zbl 0287.35074Keener, J. P.; Keller, H. B. 42 1974 Space-time domain decomposition for parabolic problems. Zbl 1019.65076Giladi, Eldar; Keller, Herbert B. 41 2002 Accurate difference methods for linear ordinary differential systems subject to linear constraints. Zbl 0176.14801Keller, H. B. 40 1969 Perturbed bifurcation theory. Zbl 0254.47080Keener, James P.; Keller, Herbert B. 40 1973 Viscous flow past circular cylinders. Zbl 0328.76022Nieuwstadt, F.; Keller, H. B. 40 1973 Exact boundary conditions at an artificial boundary for partial differential equations in cylinders. Zbl 0617.35052Hagstrom, Thomas; Keller, H. B. 36 1986 Shooting and parallel shooting methods for solving the Falkner-Skan boundary layer equation. Zbl 0215.58201Cebeci, T.; Keller, H. B. 36 1971 Arc-length continuation and multi-grid techniques for nonlinear elliptic eigenvalue problems. Zbl 0497.65028Chan, Tony F. C.; Keller, H. B. 36 1982 Approximation methods for nonlinear problems with application to two- point boundary value problems. Zbl 0308.65039Keller, H. B. 34 1975 Convergence rates for Newton’s method at singular points. Zbl 0571.65046Decker, D. W.; Keller, H. B.; Kelley, C. T. 34 1983 Axisymmetric buckling of hollow spheres and hemispheres. Zbl 0194.26804Bauer, L.; Reiss, E. L.; Keller, H. B. 32 1970 Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains. Zbl 0627.65120Hagstrom, T. M.; Keller, H. B. 31 1987 Path following near bifurcation. Zbl 0476.34055Decker, D. W.; Keller, H. B. 29 1981 Iterations, perturbations and multiplicities for nonlinear bifurcation problems. Zbl 0249.47058Keller, H. B.; Langford, W. F. 28 1972 Multiple limit point bifurcation. Zbl 0452.47075Decker, Dwight W.; Keller, Herbert B. 26 1980 On the accuracy of finite difference approximations to the eigenvalues of differential and integral operators. Zbl 0135.37702Keller, H. B. 25 1965 The bordering algorithm and path following near singular points of higher nullity. Zbl 0536.65017Keller, Herbert B. 24 1983 On the nonunique equilibrium states and buckling mechanism of spherical shells. Zbl 0148.19801Keller, H. B.; Wolfe, A. W. 23 1965 Existence theory for two point boundary value problems. Zbl 0146.11503Keller, H. B. 22 1966 Difference methods for boundary value problems in ordinary differential equations. Zbl 0316.65017Keller, H. B.; White, A. B. jun. 22 1975 Numerical solution of boundary value problems for ordinary differential equations: Survey and some recent results on difference methods. Zbl 0311.65050Keller, H. B. 22 1975 Approximate solutions of transport problems. II: Convergence and applications of discrete ordinate method. Zbl 0116.33301Keller, H. B. 21 1960 Iterative solutions for the non-linear bending of circular plates. Zbl 0081.18505Keller, Herbert B.; Reiss, Edward L. 20 1958 Accurate numerical methods for boundary-layer flows. II: Two-dimensional turbulent flows. Zbl 0251.76042Keller, Herbert B.; Cebeci, Tuncer 20 1972 Computation of periodic solutions of conservative systems with application to the 3-body problem. Zbl 1129.70316Doedel, E. J.; Paffenroth, R. C.; Keller, H. B.; Dichmann, D. J.; Galán-Vioque, J.; Vanderbauwhede, A. 19 2003 Computations of the axisymmetric flow between rotating cylinders. Zbl 0425.76023Meyer-Spasche, Rita; Keller, Herbert B. 18 1980 Nonlinear bifurcation. Zbl 0208.36802Keller, H. B. 17 1970 Motion of a bore over a sloping beach. Zbl 0090.43302Keller, H. B.; Levine, D. A.; Whitham, G. B. 16 1960 Multiple laminar flows through curved pipes. Zbl 0601.76028Yang, Zhong-Hua; Keller, H. B. 16 1986 Geometrically isolated nonisolated solutions and their approximation. Zbl 0493.65022Keller, Herbert B. 16 1981 The von Kármán swirling flows. Zbl 0462.76031Lentini, Marianela; Keller, Herbert B. 16 1980 A multigrid continuation method for elliptic problems with folds. Zbl 0631.65052Bolstad, John H.; Keller, Herbert B. 15 1986 Newton’s method under mild differentiability conditions. Zbl 0191.16001Keller, H. B. 15 1970 Spurious solutions in driven cavity calculations. Zbl 0502.76044Schreiber, R.; Keller, H. B. 14 1983 Homotopy method for the large, sparse, real nonsymmetric eigenvalue problem. Zbl 0872.65035Lui, S. H.; Keller, H. B.; Kwok, T. W. C. 12 1997 Difference methods and deferred corrections for ordinary boundary value problems. Zbl 0403.65034Keller, H. B.; Pereyra, V. 12 1979 A finite difference scheme for generalized Neumann problems. Zbl 0147.13901Friedrichs, K. O.; Keller, H. B. 12 1966 A direct method for computing higher order folds. Zbl 0618.65049Yang, Zhonghua; Keller, H. B. 12 1986 Membrane buckling: A study of solution multiplicity. Zbl 0218.73061Callegari, A. J.; Reiss, E. L.; Keller, H. B. 12 1971 Viscous flows past spherical gas bubbles. Zbl 0315.76019Brabston, D. C.; Keller, H. B. 12 1975 Elemental periodic orbits associated with the libration points in the circular restricted 3-body problem. Zbl 1139.70006Doedel, E. J.; Romanov, V. A.; Paffenroth, R. C.; Keller, H. B.; Dichmann, D. J.; Galán-Vioque, J.; Vanderbauwhede, A. 12 2007 Wavy Taylor-vortex flows via multigrid-continuation methods. Zbl 0711.76107Schröder, W.; Keller, H. B. 11 1990 A numerical method for singular two point boundary value problems. Zbl 0373.65039Brabston, D. C.; Keller, H. B. 11 1977 Buckled states of circular plates. Zbl 0134.44602Keller, H. B.; Keller, J. B.; Reiss, L. E. 11 1962 Multiple eigenvalues lead to secondary bifurcation. Zbl 0276.73027Bauer, Louis; Keller, Herbert B.; Reiss, Edward L. 11 1974 Some bifurcation diagrams for Taylor vortex flows. Zbl 0566.76020Meyer-Spasche, Rita; Keller, H. B. 11 1985 The numerical calculation of traveling wave solutions of nonlinear parabolic equations. Zbl 0613.65098Hagstrom, Thomas; Keller, H. B. 10 1986 Numerical studies of steady viscous flow about cylinders. Zbl 0173.18404Keller, H. B.; Takami, H. 10 1966 A new difference scheme for parabolic problems. Zbl 0243.65060Keller, Herbert B. 10 1971 Steady state and periodic solution paths: their bifurcations and computations. Zbl 0579.65057Jepson, A. D.; Keller, H. B. 10 1984 Exponential-like solutions of systems of linear ordinary differential equations. Zbl 0105.28801Keller, Herbert B.; Keller, Joseph B. 9 1962 Some positone problems suggested by nonlinear heat generation. Zbl 0187.03901Keller, H. B. 9 1969 Positive solutions of some nonlinear eigenvalue problems. Zbl 0188.17103Keller, H. B. 9 1969 Accurate numerical methods for boundary layer flows. I: Two dimensional laminar flows. Zbl 0228.76059Keller, Herbert B.; Cebeci, Tuncer 9 1971 Shooting and embedding for two-point boundary value problems. Zbl 0249.34009Keller, Herbert B. 9 1971 Computation of anomalous modes in the Taylor experiment. Zbl 0607.76110Bolstad, J. H.; Keller, H. B. 8 1987 The stability of one-step schemes for first-order two-point boundary value problems. Zbl 0529.65052de Boor, C.; de Hoog, F.; Keller, H. B. 8 1983 Global homotopies and Newton methods. Zbl 0456.65026Keller, Herbert B. 8 1978 Symbolic generation of finite difference formulas. Zbl 0387.65049Keller, H. B.; Pereyra, V. 7 1978 On some iterative methods for solving elliptic difference equations. Zbl 0085.33403Keller, Herbert B. 7 1958 Unconditionally stable difference methods for mixed problems for quasi- linear hyperbolic systems in two dimensions. Zbl 0109.09603Keller, Herbert B.; Thomee, V. 7 1962 Computations of Taylor vortex flows using multigrid continuation methods. Zbl 0692.76036Dinar, Nathan; Keller, Herbert B. 7 1989 Separating boundary-layer flow calculations. Zbl 0411.76026Cebeci, T.; Keller, H. B.; Williams, P. G. 6 1979 Nonexistence and uniqueness of positive solutions of nonlinear eigenvalue problems. Zbl 0162.16501Keller, H. B. 6 1968 Invariant imbedding, the box scheme and an equivalence between them. Zbl 0494.65050Keller, Herbert B.; Lentini, Marianela 6 1982 Fast seismic ray tracing. Zbl 0538.73133Keller, H. B.; Perozzi, D. J. 6 1983 Complex bifurcation from real paths. Zbl 0719.34068Henderson, M. E.; Keller, H. B. 6 1990 Numerical methods in boundary-layer theory. Zbl 0403.76042Keller, Herbert B. 5 1978 On the formulation and analysis of numerical methods for time dependent transport equations. Zbl 0079.22001Keller, Herbert B.; Wendroff, B. 5 1957 Nonlinear deflections of shallow spherical shells. Zbl 0088.17102Reiss, Edward L.; Greenberg, Herbert J.; Keller, Herbert B. 5 1957 Spherical cap snapping. Zbl 0088.40101Keller, Herbert B.; Reiss, Edward L. 5 1959 Analyse numerischer Verfahren. Übersetzung und wissenschaftliche Redaktion: Viktor Ziegler. Wissenschaftliche Beratung: Klaus Meinelt. Zbl 0254.65001Isaacson, Eugene; Keller, Herbert Bishop 5 1973 Solution branching. A constructive technique. Zbl 0497.58010Decker, D. W.; Keller, H. B. 5 1980 On the birth of isolas. Zbl 0503.35014Dellwo, David; Keller, Herbert B.; Matkowsky, Bernard J.; Reiss, Edward L. 5 1982 Practical procedures in path following near limit points. Zbl 0517.65033Keller, Herbert B. 5 1982 Propagation of stress discontinuities in inhomogeneous elastic media. Zbl 0135.44003Keller, H. B. 4 1964 Flow of viscoelastic fluids between rotating disks. I. Zbl 0592.76015Huilgol, R. R.; Keller, H. B. 4 1985 Studies of numerical methods for the plane Navier-Stokes equations. Zbl 0468.76035Cebeci, Tuncer; Hirsh, R. S.; Keller, H. B.; Williams, P. G. 4 1981 Saint-Venant’s procedure and Saint-Venant’s principle. Zbl 0151.36003Keller, H. B. 4 1965 Domain decomposition for two-point boundary value problems. Zbl 0766.65062Keller, Herbert B. 3 1991 Experiments on the lattice problem of Gauss. Zbl 0114.06802Keller, H. B.; Swenson, J. R. 3 1963 Numerical studies of transition from laminar to turbulent flow over a flat plate. Zbl 0128.44001de Santo, D. F.; Keller, H. B. 3 1962 A numerical approach to Hilbert’s sixteenth problem. Zbl 0767.34014Keller, H. B. 3 1992 Membrane buckling: A study of solution multiplicity. Zbl 0208.26801Callegari, A. J.; Reiss, E. L.; Keller, H. B. 3 1971 Numerical methods for two-point boundary-value problems. With two new appendices of additional material by the author. Reprint of the 1992 edition. Zbl 1409.65001Keller, Herbert B. 1 2018 Elemental periodic orbits associated with the libration points in the circular restricted 3-body problem. Zbl 1139.70006Doedel, E. J.; Romanov, V. A.; Paffenroth, R. C.; Keller, H. B.; Dichmann, D. J.; Galán-Vioque, J.; Vanderbauwhede, A. 12 2007 Elemental periodic orbits of the CR3BP: a brief selection of computational results. Zbl 1108.70007Doedel, E. J.; Dichmann, D. J.; Galán-Vioque, J.; Keller, H. B.; Paffenroth, R. C.; Vanderbauwhede, A. 2 2005 Computation of periodic solutions of conservative systems with application to the 3-body problem. Zbl 1129.70316Doedel, E. J.; Paffenroth, R. C.; Keller, H. B.; Dichmann, D. J.; Galán-Vioque, J.; Vanderbauwhede, A. 19 2003 Space-time domain decomposition for parabolic problems. Zbl 1019.65076Giladi, Eldar; Keller, Herbert B. 41 2002 Path following and bifurcations in scientific computing. Zbl 0963.65052Keller, H. B. 2 2000 Homotopy method for the large, sparse, real nonsymmetric eigenvalue problem. Zbl 0872.65035Lui, S. H.; Keller, H. B.; Kwok, T. W. C. 12 1997 A local study of a double critical point in Taylor-Couette flow. Zbl 0867.76015Ramaswamy, M.; Keller, H. B. 1 1995 Stabilization of unstable procedures: The recursive projection method. Zbl 0789.65037Shroff, Gautam M.; Keller, Herbert B. 49 1993 A numerical approach to Hilbert’s sixteenth problem. Zbl 0767.34014Keller, H. B. 3 1992 Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre 138 1991 Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre 92 1991 Domain decomposition for two-point boundary value problems. Zbl 0766.65062Keller, Herbert B. 3 1991 Wavy Taylor-vortex flows via multigrid-continuation methods. Zbl 0711.76107Schröder, W.; Keller, H. B. 11 1990 Complex bifurcation from real paths. Zbl 0719.34068Henderson, M. E.; Keller, H. B. 6 1990 Computations of Taylor vortex flows using multigrid continuation methods. Zbl 0692.76036Dinar, Nathan; Keller, Herbert B. 7 1989 Hypercube implementations of parallel shooting. Zbl 0671.65066Keller, Herbert B.; Nelson, Paul 2 1989 Closed linear one-cell functional spatial approximations: Consistency implies convergence and stability. Zbl 0654.65062Keller, Herbert B.; Nelson, Paul 2 1988 Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy. Zbl 0656.65063Keller, H. B. 62 1987 Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains. Zbl 0627.65120Hagstrom, T. M.; Keller, H. B. 31 1987 Computation of anomalous modes in the Taylor experiment. Zbl 0607.76110Bolstad, J. H.; Keller, H. B. 8 1987 Exact boundary conditions at an artificial boundary for partial differential equations in cylinders. Zbl 0617.35052Hagstrom, Thomas; Keller, H. B. 36 1986 Multiple laminar flows through curved pipes. Zbl 0601.76028Yang, Zhong-Hua; Keller, H. B. 16 1986 A multigrid continuation method for elliptic problems with folds. Zbl 0631.65052Bolstad, John H.; Keller, Herbert B. 15 1986 A direct method for computing higher order folds. Zbl 0618.65049Yang, Zhonghua; Keller, H. B. 12 1986 The numerical calculation of traveling wave solutions of nonlinear parabolic equations. Zbl 0613.65098Hagstrom, Thomas; Keller, H. B. 10 1986 Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems. Zbl 0589.65075Glowinski, R.; Keller, H. B.; Reinhart, L. 47 1985 Some bifurcation diagrams for Taylor vortex flows. Zbl 0566.76020Meyer-Spasche, Rita; Keller, H. B. 11 1985 Flow of viscoelastic fluids between rotating disks. I. Zbl 0592.76015Huilgol, R. R.; Keller, H. B. 4 1985 Three-dimensional ray tracing and geophysical inversion in layered media. Zbl 0577.73106Fawcett, John; Keller, H. B. 1 1985 Steady state and periodic solution paths: their bifurcations and computations. Zbl 0579.65057Jepson, A. D.; Keller, H. B. 10 1984 Numerical methods for Hopf bifurcation and continuation of periodic solution paths. Zbl 0566.65041Doedel, E. J.; Jepson, A. D.; Keller, H. B. 3 1984 Driven cavity flows by efficient numerical techniques. Zbl 0503.76040Schreiber, R.; Keller, H. B. 134 1983 Convergence rates for Newton’s method at singular points. Zbl 0571.65046Decker, D. W.; Keller, H. B.; Kelley, C. T. 34 1983 The bordering algorithm and path following near singular points of higher nullity. Zbl 0536.65017Keller, Herbert B. 24 1983 Spurious solutions in driven cavity calculations. Zbl 0502.76044Schreiber, R.; Keller, H. B. 14 1983 The stability of one-step schemes for first-order two-point boundary value problems. Zbl 0529.65052de Boor, C.; de Hoog, F.; Keller, H. B. 8 1983 Fast seismic ray tracing. Zbl 0538.73133Keller, H. B.; Perozzi, D. J. 6 1983 Arc-length continuation and multi-grid techniques for nonlinear elliptic eigenvalue problems. Zbl 0497.65028Chan, Tony F. C.; Keller, H. B. 36 1982 Invariant imbedding, the box scheme and an equivalence between them. Zbl 0494.65050Keller, Herbert B.; Lentini, Marianela 6 1982 On the birth of isolas. Zbl 0503.35014Dellwo, David; Keller, Herbert B.; Matkowsky, Bernard J.; Reiss, Edward L. 5 1982 Practical procedures in path following near limit points. Zbl 0517.65033Keller, Herbert B. 5 1982 Path following near bifurcation. Zbl 0476.34055Decker, D. W.; Keller, H. B. 29 1981 Geometrically isolated nonisolated solutions and their approximation. Zbl 0493.65022Keller, Herbert B. 16 1981 Studies of numerical methods for the plane Navier-Stokes equations. Zbl 0468.76035Cebeci, Tuncer; Hirsh, R. S.; Keller, H. B.; Williams, P. G. 4 1981 Two new bifurcation phenomena. Zbl 0505.35009Keller, Herbert B. 1 1981 Boundary value problems on semi-infinite intervals and their numerical solution. Zbl 0465.65044Lentini, Marianela; Keller, Herbert B. 47 1980 Multiple limit point bifurcation. Zbl 0452.47075Decker, Dwight W.; Keller, Herbert B. 26 1980 Computations of the axisymmetric flow between rotating cylinders. Zbl 0425.76023Meyer-Spasche, Rita; Keller, Herbert B. 18 1980 The von Kármán swirling flows. Zbl 0462.76031Lentini, Marianela; Keller, Herbert B. 16 1980 Solution branching. A constructive technique. Zbl 0497.58010Decker, D. W.; Keller, H. B. 5 1980 Calculation of flows between rotating disks. Zbl 0464.76024Keller, H. B.; Szeto, R. K.-H. 1 1980 Difference methods and deferred corrections for ordinary boundary value problems. Zbl 0403.65034Keller, H. B.; Pereyra, V. 12 1979 Separating boundary-layer flow calculations. Zbl 0411.76026Cebeci, T.; Keller, H. B.; Williams, P. G. 6 1979 Global homotopies and Newton methods. Zbl 0456.65026Keller, Herbert B. 8 1978 Symbolic generation of finite difference formulas. Zbl 0387.65049Keller, H. B.; Pereyra, V. 7 1978 Numerical methods in boundary-layer theory. Zbl 0403.76042Keller, Herbert B. 5 1978 Numerical solution of bifurcation and nonlinear eigenvalue problems. Zbl 0581.65043Keller, H. B. 152 1977 A numerical method for singular two point boundary value problems. Zbl 0373.65039Brabston, D. C.; Keller, H. B. 11 1977 Approximation methods for nonlinear problems with application to two- point boundary value problems. Zbl 0308.65039Keller, H. B. 34 1975 Difference methods for boundary value problems in ordinary differential equations. Zbl 0316.65017Keller, H. B.; White, A. B. jun. 22 1975 Numerical solution of boundary value problems for ordinary differential equations: Survey and some recent results on difference methods. Zbl 0311.65050Keller, H. B. 22 1975 Viscous flows past spherical gas bubbles. Zbl 0315.76019Brabston, D. C.; Keller, H. B. 12 1975 Numerical solution of two point boundary value problems. Zbl 0329.65004Keller, Herbert B. 2 1975 Turbulent boundary layers with assigned wall shear. Zbl 0326.76040Cebeci, Tuncer; Berkant, N.; Silivri, I.; Keller, Herbert B. 1 1975 Accurate difference methods for nonlinear two-point boundary value problems. Zbl 0282.65065Keller, Herbert B. 60 1974 Difference approximations for singular perturbations of systems of ordinary differential equations. Zbl 0314.65042Abrahamsson, L. R.; Keller, H. B.; Kreiss, H. O. 46 1974 Positive solutions of convex nonlinear eigenvalue problems. Zbl 0287.35074Keener, J. P.; Keller, H. B. 42 1974 Multiple eigenvalues lead to secondary bifurcation. Zbl 0276.73027Bauer, Louis; Keller, Herbert B.; Reiss, Edward L. 11 1974 Some positone problems suggested by nonlinear heat generation. Zbl 0288.35037Keller, H. B. 3 1974 Perturbed bifurcation theory. Zbl 0254.47080Keener, James P.; Keller, Herbert B. 40 1973 Viscous flow past circular cylinders. Zbl 0328.76022Nieuwstadt, F.; Keller, H. B. 40 1973 Analyse numerischer Verfahren. Übersetzung und wissenschaftliche Redaktion: Viktor Ziegler. Wissenschaftliche Beratung: Klaus Meinelt. Zbl 0254.65001Isaacson, Eugene; Keller, Herbert Bishop 5 1973 Laminar boundary layers with assigned wall shear. Zbl 0257.76030Cebeci, Tuncer; Keller, Herbert B. 1 1973 Iterations, perturbations and multiplicities for nonlinear bifurcation problems. Zbl 0249.47058Keller, H. B.; Langford, W. F. 28 1972 Accurate numerical methods for boundary-layer flows. II: Two-dimensional turbulent flows. Zbl 0251.76042Keller, Herbert B.; Cebeci, Tuncer 20 1972 An inverse problem in boundary-layer flows: Numerical determination of pressure gradient for a given wall shear. Zbl 0251.76022Keller, Herbert B.; Cebeci, Tuncer 3 1972 Perturbed bifurcation and buckling of circular plates. Zbl 0254.73044Keener, J. P.; Keller, H. B. 2 1972 Existence theory for multiple solutions of a singular perturbation problem. Zbl 0263.34059Keller, Herbert B. 1 1972 Shooting and parallel shooting methods for solving the Falkner-Skan boundary layer equation. Zbl 0215.58201Cebeci, T.; Keller, H. B. 36 1971 Membrane buckling: A study of solution multiplicity. Zbl 0218.73061Callegari, A. J.; Reiss, E. L.; Keller, H. B. 12 1971 A new difference scheme for parabolic problems. Zbl 0243.65060Keller, Herbert B. 10 1971 Accurate numerical methods for boundary layer flows. I: Two dimensional laminar flows. Zbl 0228.76059Keller, Herbert B.; Cebeci, Tuncer 9 1971 Shooting and embedding for two-point boundary value problems. Zbl 0249.34009Keller, Herbert B. 9 1971 Membrane buckling: A study of solution multiplicity. Zbl 0208.26801Callegari, A. J.; Reiss, E. L.; Keller, H. B. 3 1971 Axisymmetric buckling of hollow spheres and hemispheres. Zbl 0194.26804Bauer, L.; Reiss, E. L.; Keller, H. B. 32 1970 Nonlinear bifurcation. Zbl 0208.36802Keller, H. B. 17 1970 Newton’s method under mild differentiability conditions. Zbl 0191.16001Keller, H. B. 15 1970 Elliptic boundary value problems suggested by nonlinear diffusion processes. Zbl 0188.17102Keller, H. B. 70 1969 Steady two-dimensional viscous flow of an incompressible fluid past a circular cylinder. Zbl 0206.55004Takami, H.; Keller, H. B. 55 1969 Accurate difference methods for linear ordinary differential systems subject to linear constraints. Zbl 0176.14801Keller, H. B. 40 1969 Some positone problems suggested by nonlinear heat generation. Zbl 0187.03901Keller, H. B. 9 1969 Positive solutions of some nonlinear eigenvalue problems. Zbl 0188.17103Keller, H. B. 9 1969 Numerical methods for two-point boundary-value problems. Zbl 0172.19503Keller, Herbert B. 341 1968 Nonexistence and uniqueness of positive solutions of nonlinear eigenvalue problems. Zbl 0162.16501Keller, H. B. 6 1968 Some positone problems suggested by nonlinear heat generation. Zbl 0152.10401Keller, H. B.; Cohen, D. S. 163 1967 The flow of a viscous compressible fluid through a very narrow gap. Zbl 0204.28103Cole, J. D.; Keller, H. B.; Saffman, P. G. 2 1967 Boundary imperfections in the buckling of spherical caps. Zbl 0149.43704Bauer, F.; Keller, H. B.; Reiss, E. L. 1 1967 Analysis of numerical methods. Zbl 0168.13101Isaacson, E.; Keller, H. B. 640 1966 Existence theory for two point boundary value problems. Zbl 0146.11503Keller, H. B. 22 1966 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,829 Authors 25 Keller, Herbert Bishop 23 Kadalbajoo, Mohan K. 22 Chien, Cheng-Sheng 20 Mohanty, Ranjan Kumar 18 Kevrekidis, Ioannis George 14 Floater, Michael S. 14 Gander, Martin Jakob 13 Doedel, Eusebius J. 13 Han, Houde 13 Pao, Chia-Ven 13 Weinmüller, Ewa B. 12 Cebeci, Tuncer 12 Champneys, Alan R. 11 Kalita, Jiten C. 11 Pop, Ioan 10 Roose, Dirk 10 Sherratt, Jonathan A. 9 Bandle, Catherine 9 Fazio, Riccardo 9 Glowinski, Roland 9 Hadjidimos, Apostolos 9 Mei, Zhen 9 Watson, Layne Terry 8 Cash, Jeff R. 8 Chang, Shing-Lin 8 Koch, Othmar 8 Shu, Chang 8 Spence, Alastair 8 Weinitschke, Hubertus J. 7 Agarwal, Ravi P. 7 Antman, Stuart S. 7 Attili, Basem S. 7 Bao, Weizhu 7 Chawla, Man M. 7 Dehghan Takht Fooladi, Mehdi 7 Dijkstra, Henk A. 7 Evans, David John 7 Hermann, Martin 7 Laing, Carlo R. 7 Lakshmikantham, Vangipuram 7 Lessard, Jean-Philippe 7 Masjed-Jamei, Mohammad 7 Meerschaert, Mark Marvin 6 Boyd, John Philip 6 Cochelin, Bruno 6 El-Mistikawy, Tarek M. A. 6 Galligani, Emanuele 6 Givoli, Dan 6 Govaerts, Willy J. F. 6 Grigorieff, Rolf Dieter 6 Hossain, Md. Anwar 6 Keller, Joseph Bishop 6 Kwok, Felix 6 Lin, Wen-Wei 6 Maklakov, Vladimir Nikolaevich 6 Mattheij, Robert M. M. 6 Miele, Angelo 6 Mittelmann, Hans Detlef 6 Parter, Seymour V. 6 Patlashenko, Igor 6 Pennline, James A. 6 Reddien, George W. jun. 6 Reddy, Yanala Narsimha 6 Russell, Robert D. 6 Sapountzakis, Evangelos John 6 Schaeffer, David G. 6 Siettos, Constantinos I. 6 Smooke, Mitchell D. 6 Song, Yongzhong 6 Srubshchik, Leonid S. 6 Stynes, Martin 6 Thiele, Uwe 6 Weber, Helmut George 6 Weiss, Richard 6 Wu, Shulin 6 Wubs, Fred W. 6 Yang, Zhonghua 6 Zhang, Jiwei 5 Baxley, John V. 5 Braess, Dietrich 5 Carey, Graham Francis 5 Chew, Yong-Tian 5 de Hoog, Frank Robert 5 Dennis, S. C. R. 5 Eslahchi, Mohammad Reza 5 Friedman, Mark J. 5 Halpern, Laurence 5 Ishak, Anuar 5 Jódar Sanchez, Lucas Antonio 5 Kuhlmann, Hendrik C. 5 Kuo, Yueh-Cheng 5 Li, Zhaoxiang 5 Llibre, Jaume 5 Net, Marta 5 Neumann, Michael 5 Ojika, Takeo 5 O’Riordan, Eugene 5 Patidar, Kailash C. 5 Plemmons, Robert James 5 Ponsoda, Enrique ...and 3,729 more Authors all top 5 Cited in 350 Serials 170 Journal of Computational Physics 155 Applied Mathematics and Computation 155 Journal of Computational and Applied Mathematics 132 Numerische Mathematik 111 Computer Methods in Applied Mechanics and Engineering 106 Journal of Mathematical Analysis and Applications 83 Computers and Fluids 82 Computers & Mathematics with Applications 76 Journal of Fluid Mechanics 66 Applied Numerical Mathematics 58 Journal of Differential Equations 55 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 51 Linear Algebra and its Applications 50 International Journal of Computer Mathematics 45 Physica D 44 Nonlinear Analysis. 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(English Edition) 14 Computational Mechanics 14 Advances in Computational Mathematics 13 Japan Journal of Industrial and Applied Mathematics 13 Journal of Elasticity 12 Applicable Analysis 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Nonlinear Dynamics 12 European Journal of Mechanics. B. Fluids 11 International Journal of Heat and Mass Transfer 11 Applied Mathematics Letters 11 Dynamics and Stability of Systems 10 Journal of the Franklin Institute 10 International Journal of Numerical Methods for Heat & Fluid Flow 9 Mathematical Methods in the Applied Sciences 9 Bulletin of Mathematical Biology 9 Chaos, Solitons and Fractals 9 Applied Mathematics and Optimization 9 M\(^3\)AS. 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Seriya Fiziko-Matematicheskie Nauki 6 International Journal of Solids and Structures 6 Automatica 6 Acta Applicandae Mathematicae 6 Aequationes Mathematicae 6 Journal of Dynamics and Differential Equations 6 Abstract and Applied Analysis 6 Communications in Nonlinear Science and Numerical Simulation 6 Advances in Difference Equations 6 Boundary Value Problems 5 International Journal of Control 5 Rocky Mountain Journal of Mathematics 5 Soviet Applied Mechanics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Functional Analysis 5 Manuscripta Mathematica 5 SIAM Journal on Matrix Analysis and Applications 5 Mathematical Programming. Series A. Series B 5 Journal of Nonlinear Science 5 Communications in Numerical Methods in Engineering 5 Journal of Difference Equations and Applications 5 International Journal of Computational Fluid Dynamics 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 SIAM Journal on Applied Dynamical Systems ...and 250 more Serials all top 5 Cited in 53 Fields 1,503 Numerical analysis (65-XX) 668 Fluid mechanics (76-XX) 627 Partial differential equations (35-XX) 579 Ordinary differential equations (34-XX) 254 Mechanics of deformable solids (74-XX) 148 Dynamical systems and ergodic theory (37-XX) 123 Operator theory (47-XX) 103 Approximations and expansions (41-XX) 101 Biology and other natural sciences (92-XX) 91 Classical thermodynamics, heat transfer (80-XX) 78 Mechanics of particles and systems (70-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 61 Systems theory; control (93-XX) 59 Operations research, mathematical programming (90-XX) 57 Integral equations (45-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 47 Statistical mechanics, structure of matter (82-XX) 46 Computer science (68-XX) 39 Global analysis, analysis on manifolds (58-XX) 39 Geophysics (86-XX) 30 Difference and functional equations (39-XX) 30 Statistics (62-XX) 24 Probability theory and stochastic processes (60-XX) 23 Real functions (26-XX) 21 Optics, electromagnetic theory (78-XX) 19 Functional analysis (46-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Functions of a complex variable (30-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Quantum theory (81-XX) 8 Special functions (33-XX) 8 Integral transforms, operational calculus (44-XX) 6 Astronomy and astrophysics (85-XX) 5 History and biography (01-XX) 5 Number theory (11-XX) 5 Sequences, series, summability (40-XX) 5 Differential geometry (53-XX) 4 Field theory and polynomials (12-XX) 4 Potential theory (31-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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