Herbert Keller | Academic Influence

Herbert Keller's AcademicInfluence.com Rankings

Herbert Keller

Mathematics

#1379

World Rank

#2286

Historical Rank

#572

USA Rank

Applied Mathematics

#30

World Rank

#34

Historical Rank

#18

USA Rank

Measure Theory

#682

World Rank

#927

Historical Rank

#273

USA Rank

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Mathematics

Herbert Keller's Degrees

PhD Mathematics California Institute of Technology
Bachelors Mathematics California Institute of Technology

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Why Is Herbert Keller Influential?

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According to Wikipedia, Herbert Bishop Keller was an American applied mathematician and numerical analyst. He was professor of applied mathematics, emeritus, at the California Institute of Technology. Early life and education Keller graduated from the Georgia Institute of Technology with a bachelor's in electrical engineering in 1945; and from New York University, later known as the Courant Institute, with a Ph.D. in 1954.

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Herbert Keller's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Analysis of Numerical Methods (1967) (1697)
Numerical Methods for Two-Point Boundary-Value Problems (1993) (586)
NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS (1991) (510)
Driven cavity flows by efficient numerical techniques (1983) (509)
Numerical Solution of Two Point Boundary Value Problems (1976) (465)
NUMERICAL METHODS IN BOUNDARY-LAYER THEORY (1978) (450)
Computer Simulation of Dynamic Phenomena (1999) (403)
Lectures on Numerical Methods in Bifurcation Problems (1988) (356)
A New Difference Scheme for Parabolic Problems (1971) (354)
Some Positone Problems Suggested by Nonlinear Heat Generation (1967) (277)
Stabilization of unstable procedures: the recursive projection method (1993) (264)
Steady Two‐Dimensional Viscous Flow of an Incompressible Fluid past a Circular Cylinder (1969) (205)
Accurate Numerical Methods for Boundary-Layer Flows. II: Two Dimensional Turbulent Flows (1971) (201)
Accurate Difference Methods for Nonlinear Two-Point Boundary Value Problems (1974) (198)
Multiple Eigenvalues Lead to Secondary Bifurcation (1975) (160)
On the Solution of Singular and Semidefinite Linear Systems by Iteration (1965) (153)
Shooting and parallel shooting methods for solving the Falkner-Skan boundary-layer equation (1971) (152)
Space-time domain decomposition for parabolic problems (2002) (148)
Numerical processes in differential equations (1968) (146)
Arc-Length Continuation and Multigrid Techniques for Nonlinear Elliptic Eigenvalue Problems (1982) (146)
Boundary Value Problems on Semi-Infinite Intervals and Their Numerical Solution (1980) (144)
The Von Karman Swirling Flows (1980) (140)
Viscous flow past circular cylinders (1973) (138)
Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems (1985) (136)
Solving two-point seismic-ray tracing problems in a heterogeneous medium. Part 1. A general adaptive finite difference method (1980) (131)
Global Homotopies and Newton Methods (1978) (129)
Accurate numerical methods for boundary layer flows I. Two dimensional laminar flows (1971) (125)
Elliptic boundary value problems suggested by nonlinear diffusion processes (1969) (115)
Elemental Periodic orbits Associated with the libration Points in the Circular Restricted 3-Body Problem (2007) (110)
Approximation methods for nonlinear problems with application to two-point boundary value problems (1975) (107)
The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity (1983) (107)
Positive solutions of convex nonlinear eigenvalue problems (1974) (102)
Exact boundary conditions at an artificial boundary for partial differential equations in cylinders (1986) (101)
Motion of a bore over a sloping beach (1960) (101)
Perturbed bifurcation theory (1973) (100)
CONVERGENCE RATES FOR NEWTON'S METHOD AT SINGULAR POINTS* (1983) (94)
Difference approximations for singular perturbations of systems of ordinary differential equations (1974) (93)
Computation of Periodic Solutions of Conservative Systems with Application to the 3-body Problem (2003) (88)
Accurate Difference Methods for Linear Ordinary Differential Systems Subject to Linear Constraints (1969) (88)
Axisymmetric buckling of hollow spheres and hemispheres (1970) (86)
Path following near bifurcation (1981) (81)
Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains (1987) (78)
Spurious solutions in driven cavity calculations (1983) (76)
Viscous flows past spherical gas bubbles (1975) (74)
Iterations, perturbations and multiplicities for nonlinear bifurcation problems (1972) (71)
A multigrid continuation method for elliptic problems with folds (1986) (70)
WATER WAVE RUN-UP ON A BEACH (1964) (64)
Difference Methods for Boundary Value Problems in Ordinary Differential Equations (1975) (62)
On the Nonunique Equilibrium States and Buckling Mechanism of Spherical Shells (1965) (61)
Multiple laminar flows through curved pipes (1986) (60)
Multiple limit point bifurcation (1980) (58)
Computations of the axisymmetric flow between rotating cylinders (1980) (56)
Exponential-Like Solutions of Systems of Linear Ordinary Differential Equations (1962) (55)
Singular perturbations of difference methods for linear ordinary differential equations (1980) (53)
Fast Seismic Ray Tracing (1983) (52)
Iterative solutions for the non‐linear bending of circular plates (1958) (45)
On the accuracy of finite difference approximations to the eigenvalues of differential and integral operators (1965) (45)
Homotopy Method for the Large, Sparse, Real Nonsymmetric Eigenvalue Problem (1997) (43)
Symbolic generation of finite difference formulas (1978) (43)
NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS: SURVEY AND SOME RECENT RESULTS ON DIFFERENCE METHODS (1975) (40)
Calculations of the Conductivity of a Medium Containing Cylindrical Inclusions (1964) (40)
Geometrically Isolated Nonisolated Solutions and Their Approximation (1981) (40)
Steady State and Periodic Solution Paths: their Bifurcations and Computations (1984) (37)
Some Bifurcation Diagrams for Taylor Vortex Flows (1985) (35)
Buckled states of circular plates (1962) (34)
Separating boundary-layer flow calculations☆ (1979) (34)
Membrane buckling: A study of solution multiplicity (1971) (32)
A Direct Method for Computing Higher Order Folds (1986) (31)
Wavy Taylor-vortex flows via multigrid-continuation methods (1990) (31)
Propagation of Stress Discontinuities in Inhomogeneous Elastic Media (1964) (31)
The numerical calculation of traveling wave solutions of nonlinar parabolic equations (1986) (31)
ON THE BIRTH OF ISOLAS (1982) (30)
Existence theory for two point boundary value problems (1966) (30)
Spherical Cap Snapping (1959) (30)
Constructive methods for bifurcation and nonlinear eigenvalue problems (1979) (29)
INVARIANT IMBEDDING, THE BOX SCHEME AND AN EQUIVALENCE BETWEEN THEM* (1982) (29)
Computation of anomalous modes in the Taylor experiment (1987) (27)
An inverse problem in boundary-layer flows: Numerical determination of pressure gradient for a given wall shear (1972) (26)
Complex bifurcation from real paths (1990) (26)
Approximate Solutions of Transport Problems. II. Convergence and Applications of the Discrete Ordinate Method (1960) (24)
On the Pointwise Convergence of the Discrete-Ordinate Method (1960) (24)
Computations of Taylor Vortex Flows Using Multigrid Continuation Methods (1989) (23)
A NUMERICAL METHOD FOR SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS (1977) (21)
Difference Methods and Deferred Corrections for Ordinary Boundary Value Problems (1979) (20)
The Stability of One-Step Schemes for First-Order Two-Point Boundary Value Problems. (1983) (20)
Newton's Method under Mild Differential Conditions (1970) (19)
Studies of numerical methods for the plane Navier-Stokes equations (1981) (18)
Nonlinear Problems in Continuum Mechanics. (1978) (18)
Shooting and embedding for two-point boundary value problems (1971) (17)
Solution branching - A constructive technique (1980) (17)
Nonexistence and uniqueness of positive solutions of nonlinear eigenvalue problems (1968) (15)
Determination of reflected and transmitted fields by geometrical optics (2011) (15)
Positive Solutions of Some Nonlinear Eigenvalue Problems (1969) (15)
Computational methods for inverse problems in geophysics: inversion of travel time observations (1980) (14)
Flow of viscoelastic fluids between rotating disks: part I (1985) (13)
Some computational problems in boundary-layer flows (1975) (12)
Experiments on the lattice problem of Gauss (1963) (12)
Saint-Venant’s procedure and Saint-Venant’s principle (1965) (12)
Axisymmetric buckling of rigidly clamped hemispherical shells (1973) (12)
Hypercube implementations of parallel shooting (1989) (12)
Continuation Methods in Computational Fluid Dynamics (1982) (11)
Unconditionally stable difference methods for mixed problems for quasi‐linear hyperbolic systems in two dimensions (1962) (11)
1. Shooting Methods (1976) (11)
Numerical studies of transition from laminar to turbulent flow over a flat plate (1963) (11)
The Numerical Calculation of Traveling Wave Solutions of Nonlinear Parabolic Equations on the Line. (1984) (9)
SOME RECENT RESULTS ON THE BUCKLING MECHANISM OF SPHERICAL CAPS (1962) (9)
Finite Automata, Pattern Recognition and Perceptrons (2011) (8)
Numerical methods for hope bifurcation and continuation of periodic solution paths (1985) (8)
Laminar boundary layers with assigned wall shear (1973) (7)
THREE-DIMENSIONAL RAY TRACING AND GEOPHYSICAL INVERSION IN LAYERED MEDIA* (1985) (6)
Perturbed bifurcation and buckling of circular plates (1972) (6)
The Flow of a Viscous Compressible Fluid Through a Very Narrow Gap (1967) (6)
Boundary Imperfections in the Buckling of Spherical Caps (1967) (6)
On the solution of semi‐linear hyperbolic systems by unconditionally stable difference methods (1961) (5)
Turbulent boundary layers with assigned wall shear (1975) (5)
Numerical Studies of the Gauss Lattice Problem (1997) (5)
Closed linear one-cell functional spatial approximations: Consistency implies convergence and stability (1988) (5)
Elemental periodic orbits of the CR3BP : a brief selection of computational results (2005) (4)
Approximate Solutions of Transport Problems–Part I: Steady-State, Elastic Scattering in Plane and Spherical Geometry (1958) (4)
Existence Theory for Multiple Solutions of a Singular Perturbation Problem (1972) (3)
Exploring defective eigenvalue problems with the method of lifting (2002) (3)
Reflection and Transmission of Sound by a Spherical Shell (1948) (3)
Lowest eigenvalues of nearly circular regions (1954) (3)
2 . 3 LU Decomposition and Its Applications (3)
A preferred approach to the linearization of turbulent boundary-layer equations (1989) (2)
Path following in scientific computing and its implementation in AUTO (2003) (2)
Stability Theory for Multiple Equilibrium States of a Nonlinear Diffusion Process: A Singularly Perturbed Eigenvalue Problem (1973) (2)
Computers in Solid Mechanics:—A Case History (1965) (2)
Comments on “Numerical Studies of Viscous Flow around Circular Cylinders” (1970) (2)
Computation of Kármán Swirling Flows (1978) (2)
Non-Linear Bending and Buckling of Circular Plates (2015) (2)
Isolas and Perturbed Bifurcation Theory (2017) (2)
Special Block Iterations with Applications to Laplace and Biharmonic Difference Equations (1960) (2)
Flows in ducts by boundary-layer theory (1975) (2)
Space-time Domain Decomposition for Parabolic Problems Space-time Domain Decomposition for Parabolic Problems (1997) (1)
On the Numerical Integration of the Neutron Transport Equation (2015) (1)
A local study of a double critical point in Taylor-Couette flow (1995) (1)
Wavy Taylor vortices in plane Couette flow (1997) (1)
Buckling of Complete Spherical Shells under Slightly Nonuniform Loads (1973) (1)
Numerical Solution of Semi-Linear Elliptic Problems on Unbounded Domains. (1984) (1)
Parallel Homotopy Algorithm for Large Sparse Generalized Eigenvalue Problems: Application to Hydrodynamic Stability Analysis (1992) (1)
4. Singular Problems (1976) (1)
On the Numerical Integration of the Neutron Transport Equation (2015) (1)
An Academic In Industry (1979) (1)
Reflection and transmission of electromagnetic waves by a spherical shell (2010) (1)
Buckling of a Circular Plate Under an Unusual Combined Load (1966) (1)
Analysis, scientific computing and fundamental studies in fluid mechanics (1991) (0)
Supercomputer applications of the hypercube (1989) (0)
Mathematical Software for Hyperbolic Equations and Two Point Boundary Value Problems. (1985) (0)
Device for vibration damping in a guide vane ring (1986) (0)
A priori bounds for temperature in circulating fuel reactors (1956) (0)
Steady States, Boundedness, and Numerical Analysis of Temperature and Neutron Density in Circulating Fuel Reactors (2015) (0)
Interview with Herbert B. Keller (1998) (0)
Steady States, Boundedness, and Numerical Analysis of Temperature and Neutron Density in Circulating Fuel Reactors (2015) (0)
Steady States, Boundedness, and Numerical Analysis of Temperature and Neutron Density in Circulating Fuel Reactors (2015) (0)
Finite difference methods for ordinary boundary value problems (1976) (0)
3. Eigenvalue Problems (1976) (0)
46. G. Wittum. Multi-grid Methods for Stokes and Navier-stokes Equations with Transform- Ing Smoothers: Algorithms and Numerical Results. Gmres: a Generalized Minimal Residual Algorithm for Solving Non-symmetric Linear Systems.grid and Iccg for Problems with Interfaces. In (1995) (0)
Plane waves in the ionosphere (1952) (0)
NUMERICAL STUDIES OF THE GAUSS LATTICE PROBLEM 1 Numerical Studies of the Gauss Lattice Problem (1997) (0)
2. Finite Difference Methods (1976) (0)
CONVERGENCE AND APPLICATIONS OF THE DISCRETE ORDINATE METHOD*t (2016) (0)
QUARTERLY OF APPLIED MATHEMATICS (2016) (0)
On Some Iterative Methods for Solving Elliptic Difference Equations (2015) (0)

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