@article{https://resolver.caltech.edu/CaltechAUTHORS:20190829-131534035, title = "Space-time domain decomposition for parabolic problems", journal = "Numerische Mathematik", year = "2002", url = "https://resolver.caltech.edu/CaltechAUTHORS:20190829-131534035", id = "record", issn = "0029-599X", doi = "10.1007/s002110100345", volume = "93" } @article{https://resolver.caltech.edu/CaltechAUTHORS:LUIsiamjmaa97, title = "Homotopy Method for the Large, Sparse, Real Nonsymmetric Eigenvalue Problem", journal = "SIAM Journal on Matrix Analysis and Applications", year = "1997", url = "https://resolver.caltech.edu/CaltechAUTHORS:LUIsiamjmaa97", id = "record", issn = "0895-4798", doi = "10.1137/S0895479894273900", volume = "18" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170802-123922327, title = "A local study of a double critical point in Taylor-Couette flow", journal = "Acta Mechanica", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170802-123922327", id = "record", issn = "0001-5970", doi = "10.1007/BF01176814", volume = "109" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120307-153620928, title = "Stabilization of Unstable Procedures: The Recursive Projection Method", journal = "SIAM Journal on Numerical Analysis", year = "1993", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120307-153620928", id = "record", issn = "0036-1429", doi = "10.1137/0730057", volume = "30" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120424-132606071, title = "Complex Bifurcation from Real Paths", journal = "SIAM Journal on Applied Mathematics", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120424-132606071", id = "record", issn = "0036-1399", doi = "10.1137/0150027", volume = "50" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170801-153045481, title = "Hypercube implementations of parallel shooting", journal = "Applied Mathematics and Computation", year = "1989", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170801-153045481", id = "record", issn = "0096-3003", doi = "10.1016/0096-3003(89)90140-9", volume = "31" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170802-104850872, title = "A preferred approach to the linearization of turbulent boundary-layer equations", journal = "Computers \& Fluids", year = "1989", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170802-104850872", id = "record", issn = "0045-7930", doi = "10.1016/0045-7930(89)90029-7", volume = "17" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120627-134928372, title = "A multigrid continuation method for elliptic problems with folds", journal = "SIAM Journal on Scientific and Statistical Computing", year = "1986", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120627-134928372", id = "record", issn = "0196-5204", doi = "10.1137/0907074", volume = "7" } @article{https://resolver.caltech.edu/CaltechAUTHORS:HAGsiamjssc86, title = "The Numerical Calculation of Traveling Wave Solutions of Nonlinear Parabolic Equations", journal = "SIAM Journal of Scientific and Statistical Computing", year = "1986", url = "https://resolver.caltech.edu/CaltechAUTHORS:HAGsiamjssc86", id = "record", issn = "0196-5204", doi = "10.1137/0907065", volume = "7" } @article{https://resolver.caltech.edu/CaltechAUTHORS:YANsiamjssc86, title = "A Direct Method for Computing Higher Order Folds", journal = "SIAM Journal on Scientific Computing", year = "1986", url = "https://resolver.caltech.edu/CaltechAUTHORS:YANsiamjssc86", id = "record", issn = "1064-8275", doi = "10.1137/0907024", volume = "7" } @article{https://resolver.caltech.edu/CaltechAUTHORS:HAGsiamjma86, title = "Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders", journal = "SIAM Journal on Mathematical Analysis", year = "1986", url = "https://resolver.caltech.edu/CaltechAUTHORS:HAGsiamjma86", id = "record", issn = "0036-1410", doi = "10.1137/0517026", volume = "17" } @article{https://resolver.caltech.edu/CaltechAUTHORS:FAWsiamjam85, title = "Three-Dimensional Ray Tracing and Geophysical Inversion in Layered Media", journal = "SIAM Journal on Applied Dynamical Systems", year = "1985", url = "https://resolver.caltech.edu/CaltechAUTHORS:FAWsiamjam85", id = "record", issn = "1536-0040", doi = "10.1137/0145029", volume = "45" } @article{https://resolver.caltech.edu/CaltechAUTHORS:MEYpof85, title = "Some bifurcation diagrams for Taylor vortex flows", journal = "Physics of Fluids", year = "1985", url = "https://resolver.caltech.edu/CaltechAUTHORS:MEYpof85", id = "record", issn = "0031-9171", doi = "10.1063/1.865007", volume = "28" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120628-135243820, title = "Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems", journal = "SIAM Journal on Scientific and Statistical Computing", year = "1985", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120628-135243820", id = "record", issn = "0196-5204", doi = "10.1137/0906055", volume = "6" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120712-141249734, title = "The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity", journal = "SIAM Journal on Scientific and Statistical Computing", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120712-141249734", id = "record", issn = "0196-5204", doi = "10.1137/0904039", volume = "4" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120716-104541004, title = "The Stability of One-Step Schemes for First-Order Two-Point Boundary Value Problems", journal = "SIAM Journal on Numerical Analysis", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120716-104541004", id = "record", issn = "0036-1429", doi = "10.1137/0720083", volume = "20" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120712-112742998, title = "Fast Seismic Ray Tracing", journal = "SIAM Journal on Applied Mathematics", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120712-112742998", id = "record", issn = "0036-1399", doi = "10.1137/0143064", volume = "43" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120712-112618470, title = "Convergence Rates for Newton's Method at Singular Points", journal = "SIAM Journal on Numerical Analysis", year = "1983", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120712-112618470", id = "record", issn = "0036-1429", doi = "10.1137/0720020", volume = "20" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120716-150101865, title = "On the Birth of Isolas", journal = "SIAM Journal on Applied Mathematics", year = "1982", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120716-150101865", id = "record", issn = "0036-1399", doi = "10.1137/0142068", volume = "42" } @article{https://resolver.caltech.edu/CaltechAUTHORS:CHAsiamjssc82, title = "Arc-Length Continuation and Multigrid Techniques for Nonlinear Elliptic Eigenvalue Problems", journal = "SIAM Journal on Scientific and Statistical Computing", year = "1982", url = "https://resolver.caltech.edu/CaltechAUTHORS:CHAsiamjssc82", id = "record", issn = "0196-5204", doi = "10.1137/0903012", volume = "3" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170802-082136797, title = "Multiple limit point bifurcation", journal = "Journal of Mathematical Analysis and Applictions", year = "1980", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170802-082136797", id = "record", issn = "0022-247X", doi = "10.1016/0022-247X(80)90090-6", volume = "75" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170801-153724200, title = "Computations of the axisymmetric flow between rotating cylinders", journal = "Journal of Computational Physics", year = "1980", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170801-153724200", id = "record", issn = "0021-9991", doi = "10.1016/0021-9991(80)90037-6", volume = "35" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20140813-084439640, title = "Solving two-point seismic-ray tracing problems in a heterogeneous medium. Part 1. A general adaptive finite difference method", journal = "Bulletin of the Seismological Society of America", year = "1980", url = "https://resolver.caltech.edu/CaltechAUTHORS:20140813-084439640", id = "record", issn = "0037-1106", volume = "70" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120726-084458239, title = "Difference Methods and Deferred Corrections for Ordinary Boundary Value Problems", journal = "SIAM Journal on Numerical Analysis", year = "1979", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120726-084458239", id = "record", issn = "0036-1429", doi = "10.1137/0716018", volume = "16" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20161019-105331989, title = "Numerical Methods in Boundary-Layer Theory", journal = "Annual Review of Fluid Mechanics", year = "1978", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161019-105331989", id = "record", issn = "0066-4189", doi = "10.1146/annurev.fl.10.010178.002221", volume = "10" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120807-133058915, title = "A Numerical Method for Singular Two Point Boundary Value Problems", journal = "SIAM Journal on Numerical Analysis", year = "1977", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120807-133058915", id = "record", issn = "0036-1429", doi = "10.1137/0714054", volume = "14" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120809-094752016, title = "Difference Methods for Boundary Value Problems in Ordinary Differential Equations", journal = "SIAM Journal on Numerical Analysis", year = "1975", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120809-094752016", id = "record", issn = "0036-1429", doi = "10.1137/0712059", volume = "12" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170802-110504850, title = "Turbulent boundary layers with assigned wall shear", journal = "Computers \& Fluids", year = "1975", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170802-110504850", id = "record", issn = "0045-7930", doi = "10.1016/0045-7930(75)90007-9", volume = "3" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120808-142816266, title = "Accurate Difference Methods for Nonlinear Two-Point Boundary Value Problems", journal = "SIAM Journal on Numerical Analysis", year = "1974", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120808-142816266", id = "record", issn = "0036-1429", doi = "10.1137/0711028", volume = "11" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170801-155214791, title = "Axisymmetric buckling of rigidly clamped hemispherical shells", journal = "International Journal of Non-Linear Mechanics", year = "1973", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170801-155214791", id = "record", issn = "0020-7462", doi = "10.1016/0020-7462(73)90012-7", volume = "8" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170801-160535948, title = "An inverse problem in boundary-layer flows: Numerical determination of pressure gradient for a given wall shear", journal = "Journal of Computational Physics", year = "1972", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170801-160535948", id = "record", issn = "0021-9991", doi = "10.1016/0021-9991(72)90096-4", volume = "10" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170802-081314237, title = "Shooting and embedding for two-point boundary value problems", journal = "Journal of Mathematical Analysis and Applictions", year = "1971", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170802-081314237", id = "record", issn = "0022-247X", doi = "10.1016/0022-247X(71)90042-4", volume = "36" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170801-160912525, title = "Shooting and parallel shooting methods for solving the Falkner-Skan boundary-layer equation", journal = "Journal of Computational Physics", year = "1971", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170801-160912525", id = "record", issn = "0021-9991", doi = "10.1016/0021-9991(71)90090-8", volume = "7" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170802-080145275, title = "Nonlinear bifurcation", journal = "Journal of Differential Equations", year = "1970", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170802-080145275", id = "record", issn = "0022-0396", doi = "10.1016/0022-0396(70)90090-2", volume = "7" } @article{https://resolver.caltech.edu/CaltechAUTHORS:KELpof70, title = {Comments on "Numerical studies of viscous flow around circular cylinders"}, journal = "Physics of Fluids", year = "1970", url = "https://resolver.caltech.edu/CaltechAUTHORS:KELpof70", id = "record", issn = "0031-9171", doi = "10.1063/1.1692952", volume = "13" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20170802-073135318, title = "Newton's method under mild differentiability conditions", journal = "Journal of Computer and System Sciences", year = "1970", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170802-073135318", id = "record", issn = "0022-0000", doi = "10.1016/S0022-0000(70)80009-5", volume = "4" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120921-104823831, title = "Accurate difference methods for linear ordinary differential systems subject to linear constraints", journal = "SIAM Journal on Numerical Analysis", year = "1969", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120921-104823831", id = "record", issn = "0036-1429", doi = "10.1137/0706002", volume = "6" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20200114-085055623, title = "Some Positone Problems Suggested by Nonlinear Heat Generation", journal = "Journal of Mathematics and Mechanics", year = "1967", url = "https://resolver.caltech.edu/CaltechAUTHORS:20200114-085055623", id = "record", issn = "0095-9057", doi = "10.1512/iumj.1967.16.16087", volume = "16" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20120925-154506131, title = "The Flow of a Viscous Compressible Fluid Through a Very Narrow Gap", journal = "SIAM Journal on Applied Mathematics", year = "1967", url = "https://resolver.caltech.edu/CaltechAUTHORS:20120925-154506131", id = "record", issn = "0036-1399", doi = "10.1137/0115051", volume = "15" }