Hans Weinberger

Q: What Schools Are Affiliated With Hans Weinberger

Hans Weinberger is affiliated with the following schools: University of Maryland, College Park, University of Minnesota, Princeton University, Stanford University, Carnegie Mellon University

Hans Weinberger's AcademicInfluence.com Rankings

Hans Weinberger

Mathematics

#1845

World Rank

#2940

Historical Rank

#747

USA Rank

Complex Analysis

World Rank

#16

Historical Rank

USA Rank

Group Theory

#32

World Rank

#43

Historical Rank

USA Rank

Number Theory

#132

World Rank

#173

Historical Rank

#30

USA Rank

mathematics Degrees

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Mathematics

Hans Weinberger's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Hans Weinberger Influential?

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According to Wikipedia, Hans F. Weinberger was an Austrian-American mathematician, known for his contributions to variational methods for eigenvalue problems, partial differential equations, and fluid dynamics. He obtained an M.S. in physics from Carnegie Institute of Technology where he also got his Sc.D. on the thesis Fourier Transforms of Moebius Series advised by Richard Duffin . He then worked at the institute for Fluid Dynamics at University of Maryland, College Park , and as professor at University of Minnesota where he was department head and now is Professor Emeritus . Weinberger was the first director of Institute for Mathematics and its Applications . Weinberger served as the IMA's first director from 1982 to 1987, and under his leadership, the IMA quickly became known for cutting-edge scientific programs, a collaborative atmosphere, and as a training ground for postdoctoral researchers. During his tenure, Weinberger was very engaged in scientific life at the IMA, attending lectures and collaborating with visitors and postdocs. His presence at these lectures usually meant that the toughest and most penetrating questions were asked.

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Hans Weinberger'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

Maximum principles in differential equations (1967) (2559)
Multidimensional nonlinear di u-sion arising in population genetics (1978) (1697)
Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation (1975) (1184)
An optimal Poincaré inequality for convex domains (1960) (725)
Long-Time Behavior of a Class of Biological Models (1982) (639)
Regular points for elliptic equations with discontinuous coefficients (1963) (634)
On spreading speeds and traveling waves for growth and migration models in a periodic habitat (2002) (391)
Analysis of linear determinacy for spread in cooperative models (2002) (339)
ON THE RATIO OF CONSECUTIVE EIGENVALUES (1956) (300)
CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS (2010) (292)
Variational Methods for Eigenvalue Approximation (1974) (290)
Spreading speed and linear determinacy for two-species competition models (2002) (285)
Spreading speeds as slowest wave speeds for cooperative systems. (2005) (277)
An Isoperimetric Inequality for the N-Dimensional Free Membrane Problem (1956) (245)
NORM-PRESERVING DILATIONS AND THEIR APPLICATIONS TO OPTIMAL ERROR BOUNDS* (1982) (232)
A first course in partial differential equations (1965) (230)
Remark on the preceding paper of Serrin (1971) (213)
The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains (1985) (195)
Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral (1978) (153)
Asymptotic behavior of a model in population genetics (1978) (137)
Existence of traveling waves for integral recursions with nonmonotone growth functions (2009) (123)
New bounds for solutions of second order elliptic partial differential equations (1958) (105)
On the spectrum of general second order operators (1966) (93)
OPTIMAL APPROXIMATIONS AND ERROR BOUNDS (1958) (92)
Some isoperimetric inequalities for membrane frequencies and torsional rigidity (1961) (92)
Invariant sets for weakly coupld parabolic and efli ' ptic systemg (1975) (88)
Anomalous spreading speeds of cooperative recursion systems (2007) (84)
ASYMPTOTIC PROPERTIES OF LERAY'S SOLUTION OF THE STATIONARY TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS (1974) (73)
On a nonlinear eigenvalue problem (1968) (71)
Nonlinear analysis : a collection of papers in honor of Erich H. Rothe (1978) (69)
Error bounds in the Rayleigh-Ritz approximation of eigenvectors (1960) (67)
Lower bounds for higher eigenvalues by finite difference methods. (1958) (67)
Upper and lower bounds for eigenvalues by finite difference methods (1956) (64)
Lower Bounds for Vibration Frequencies of Elastically Supported Membranes and Plates (1957) (62)
Inequalities between dirichlet and Neumann eigenvalues (1986) (61)
Variational properties of steady fall in Stokes flow (1972) (61)
On spreading speeds and traveling waves for growth and migration models in a periodic habitat (2003) (55)
New Bounds in Harmonic and Biharmonic Problems (1954) (51)
A solution of the singular initial value problem for the Euler-Poisson-Darboux equation (1953) (50)
Isolated Singularities of Solutions of Linear Elliptic Equations (1966) (48)
Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions (2008) (45)
Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses (1990) (38)
Note on a Lemma of Finn and Gilbarg (1957) (34)
Long-time behavior for a regularized scalar conservation law in the absence of genuine nonlinearity (1990) (34)
Radiative Corrections to Fermi Interactions (2011) (33)
An extension of the formula for spreading speeds. (2010) (27)
An Example of Blowup Produced by Equal Diffusions (1999) (27)
On the Stability of Bifurcating Solutions (1978) (25)
A Faber‐Krahn Inequality for Wedge‐Like Membranes (1960) (25)
A Maximum Property of Cauchy's Problem (1956) (25)
On sufficient conditions for a linearly determinate spreading speed (2012) (21)
Some Remarks on Invariant Sets for Systems (1987) (20)
A density-dependent diffusion system with stable discontinuous stationary solutions (1988) (19)
Variational methods for eigenvalue problems (1962) (18)
A Maximum Principle and Gradient Bounds for Linear Elliptic Equations (1973) (18)
SPREADING SPEEDS FOR A PARTIALLY COOPERATIVE 2-SPECIES REACTION-DIFFUSION MODEL. (2008) (18)
Spreading speeds of invasive species in a periodic patchy environment: effects of dispersal based on local information and gradient-based taxis (2015) (15)
Variational inequalities for a body in a viscous shearing flow (1975) (14)
Necessary Conditions for the Optimality of an Extrusion Die for a Rigid-Plastic Material (2003) (13)
Dualizing the Poisson summation formula. (1991) (12)
Some deterministic models for the spread of genetic and other alterations (1980) (12)
A necessary condition for decentralization and an application to intertemporal allocation (1990) (11)
On Optimal Numerical Solution of Partial Differential Equations (1972) (11)
On the nonexistence of certain ideal forming operations for extrusion and drawing dies (1997) (10)
An Inequality with Alternating Signs. (1952) (10)
Upper and Lower Bounds for Torsional Rigidity (1953) (10)
Boundary and initial boundary-value problems for separable backward–forward parabolic problems (1997) (8)
Optimal approximation for functions prescribed at equally spaced points (1961) (7)
Remarks on the preceding paper of Lax (1958) (7)
On the blowing-up behavior of solutions for a parabolic boundary value problem (1980) (7)
An effectless cutting of a vibrating membrane (1963) (7)
THE STABILITY OF SOLUTIONS BIFURCATING FROM STEADY OR PERIODIC SOLUTIONS (1977) (7)
Bounds for solutions of second order elliptic equations in terms of arbitrary vector fields (1965) (7)
On a Backward-Forward Parabolic Equation and Its Regularization (1993) (6)
ERROR BOUNDS IN FINITE DIFFERENCE APPROXIMATION TO SOLUTIONS OF SYMMETRIC HYPERBOLIC SYSTEMS (1959) (6)
On optimal extrusion dies for rigid-plastic materials (1998) (6)
Error estimation in the Weinstein method for eigenvalues (1952) (6)
On dualizing a multivariable Poisson summation formula (1997) (6)
Pest control may make the pest population explode (2003) (6)
Approximability by Weighted Norms of the Structured and VolumetricSingular Values of a Class of Nonnegative Matrices (1997) (5)
A note on the optimal state of a binary solid mixture in a stressed elastic bar (1996) (5)
On p -homogeneous systems of differential equations and their linear perturbations (2006) (5)
A Characterization of the Polya Frequency Functions of Order 3 (1983) (5)
ASYMPTOTIC BEHAVIOR OF A CLASS OF DISCRETE-TIME MODELS IN POPULATION GENETICS (1979) (5)
On Metastable Patterns in Parabolic Systems (1985) (4)
Erratum: On spreading speeds and traveling waves for growth and migration models in a periodic habitat (Journal of Mathematical Biology (2002) 45 (511-548)) (2003) (3)
Some Remarks on Good, Simple, and Optimal Quadrature Formulas (1978) (3)
An extension of the classical Sturm-Liouville theory (1955) (3)
Some Mathematical Aspects of Buckling (1995) (3)
Scientific Computation and Mathematical Modelling. (1986) (3)
An optimum problem in the weinstein method for eigenvalues (1952) (2)
The retreat of the less fit allele in a population-controlled model for population genetics (2014) (2)
Remark on a paper of O. G. Owens (1957) (2)
On Bounding Harmonic Functions by Linear Interpolation (1964) (2)
The approximate controllability of a model for mutant selection (2013) (2)
The One-Dimensional Maximum Principle (1984) (2)
On the Capacity of Composite Conductors (1965) (2)
Optimal numerical approximation of a linear operator (1983) (2)
5. Eigenvector Approximation (1974) (1)
On matrices for which norm bounds are attained (1998) (1)
Theory for a Unidirectional Interferometric Test of Special Relativity (1971) (1)
Variational methods in boundary value problems (1961) (1)
1985 at the institute for mathematics and its applications (1985) (0)
Can You Hear the Shape of a Drum (1974) (0)
Numerical Work of Hans F . Weinberger (2008) (0)
Spatial Models in Epidemiology and Genetics (1980) (0)
James Serrin. Selected Papers (2014) (0)
Pathological Solutions (2013) (0)
2. The Setting: Linear Vector Spaces and Their Properties (1974) (0)
Inward linear perturbation can produce unbounded solutions (2004) (0)
7. Some Other Bounds (1974) (0)
Recalling James Serrin (2013) (0)
The Minimum Energy Configuration of a Mixed-Material Column (2017) (0)
4. Improvable Bounds for Eigenvalues (1974) (0)
MA40203 Theory of Partial Dierential Equation, Spring 2013 (2013) (0)
Erratum to: The retreat of the less fit allele in a population-controlled model for population genetics (2013) (0)
On the Edge Singularities of a Composite Conducting Medium (1985) (0)
Metastability and Compensated Compactness in Continuum Theories. (1986) (0)
Spread in a 2-allele genetic system (2016) (0)
ISOLATED SINGULARITIES OF SOLUTIONS OF LINEAR (2016) (0)
A Necessary Condition for Decentralizability and an Application to Intemporal Allocation (1987) (0)
1. Prologue: Why Study Eigenvalues? (1974) (0)
Spreading speeds of invasive species in a periodic patchy environment: effects of dispersal based on local information and gradient-based taxis (2015) (0)
Erratum to: The retreat of the less fit allele in a population-controlled model for population genetics (2013) (0)
LOWER BOUNDS FOR HIGHER EIGENVALUES OF SECOND ORDER OPERATORS BY FINITE DIFFERENCE METHODS (1957) (0)
3. The Existence and Characterization of Eigenvalues (1974) (0)
Selected Papers of James Serrin, Volume 1 (2014) (0)
6. Finite Difference Equations (1974) (0)
The retreat of the less fit allele in a population-controlled model for population genetics (2013) (0)
The institute for mathematics and its applications completes its first year (1983) (0)

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Other Resources About Hans Weinberger

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What Schools Are Affiliated With Hans Weinberger?

Hans Weinberger is affiliated with the following schools:

Hans Weinberger's Academic­Influence.com Rankings

Hans Weinberger's Degrees

Why Is Hans Weinberger Influential?

Hans Weinberger's Published Works

Published Works

Other Resources About Hans Weinberger

What Schools Are Affiliated With Hans Weinberger?

Hans Weinberger's AcademicInfluence.com Rankings