#1,816

Most Influential Person

American mathematician of Hungarian origin

By AI Staff

Hungarian-born Peter Lax currently holds the title of Professor Emeritus at the Courant Institute of Mathematical Sciences at New York University. Lax began working at NYU in 1951; prior to that, he worked on the Manhattan Project.

Lax’s family emigrated from Hungary in 1941 while he was a teenager, and at 17 he was able to study for three semesters at NYU (where he wound up acting as an instructor). He was drafted into the U.S. army and allowed to take classes at Texas A&M University, though his studies were again interrupted when he was sent to work at the Oak Ridge National Laboratory, as well as the Manhattan Project (all before earning an undergraduate degree). He was finally able to return to NYU in 1946, earn his bachelor’s degree with pooled credits, and complete his PhD there in 1949.

As a mathematician, Lax is known for a wide body of work on partial differential equations, pure mathematics, fluid dynamics, shockwaves, and computing. In particular, Lax is famous for the “Lax conjecture” about hyperbolic polynomials, which he proposed in 1958, and which went unproven for over four decades.

Published works from Lax include Linear Algebra and Its Applications.

For his work, Lax has received numerous awards and honors, including membership with the Norwegian Academy of Science and Letters and the (American) National Academy of Sciences, as well as a Lester R. Ford Award, National Medal of Science, Wolf Prize, Abel Prize, and fellowship with the American Mathematical Society.

**Featured in Top Influential Mathematicians Today**

According to Wikipedia, Peter David Lax is a Hungarian-born American mathematician working in the areas of pure and applied mathematics.Lax has made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields.

- Hyperbolic systems of conservation laws II
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Systems of conservation laws
- Integrals of Nonlinear Equations of Evolution and Solitary Waves
- Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Hyperbolic systems of conservation laws
- Difference schemes for hyperbolic equations with high order of accuracy
- Survey of the stability of linear finite difference equations
- Systems of conservation equations with a convex extension.
- Shock Waves and Entropy
- Proof of a conjecture of P. Erdös on the derivative of a polynomial
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- Asymptotic solutions of oscillatory initial value problems
- Local boundary conditions for dissipative symmetric linear differential operators
- The Small Dispersion Limit of the Korteweg-deVries Equation. I
- Decay of solutions of systems of nonlinear hyperbolic conservation laws
- Scattering Theory for Automorphic Functions.
- CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS
- The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces
- A simple one-dimensional model for the three-dimensional vorticity equation
- Periodic solutions of the KdV equation
- The small dispersion limit of the Korteweg‐de Vries equation. III
- Translation invariant spaces
- Mathematics: Frontiers and Perspectives
- Almost Periodic Solutions of the KdV Equation
- On cauchy's problem for hyperbolic equations and the differentiability of solutions of elliptic equations
- Hyperbolic Partial Differential Equations
- On stability for difference schemes; a sharp form of gårding's inequality
- A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations
- Symmetrizable linear transformations
- Nonlinear hyperbolic equations
- Exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle
- [71-1] Systems of conservation equations with a convex extension, Proc. Nat. Acad. Sci. USA, 68 (1971), 1686–1688
- THE FORMATION AND DECAY OF SHOCK WAVES
- The Generation and Propagation of Oscillations in Dispersive Initial Value Problems and Their Limiting Behavior
- On matrices whose real linear combinations are non-singular
- Scattering Theory for Dissipative Hyperbolic Systems
- On nonlinear partial differential equations with two independent variables
- The computation of discontinuous solutions of linear hyperbolic equations
- Decaying modes for the wave equation in the exterior of an obstacle
- On Finite-Difference Approximations and Entropy Conditions for Shocks
- Dispersive approximations in fluid dynamics
- On dispersive difference schemes. I
- Boundary value problems for first order operators
- Theory of functions of a real variable
- On the stability of difference schemes
- Scattering Theory for the Acoustic Equation in an Even Number of Space Dimensions
- Accuracy and Resolution in the Computation of Solutions of Linear and Nonlinear Equations
- Translation representations for automorphic solutions of the wave equation in non‐euclidean spaces. I
- A phragmén-lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations
- IX. Parabolic Equations
- The multiplicity of eigenvalues
- On dispersive difference schemes
- On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients
- Stability of Difference Schemes
- Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws II
- Mathematics and computing
- Convex Entropies and Hyperbolicity for General Euler Equations
- Recent Mathematical Methods in Nonlinear Wave Propagation
- Differential Equations, Difference Equations and Matrix Theory
- The zero dispersion limit for the Korteweg-deVries KdV equation.
- THE PROPAGATION OF DISCONTINUITIES IN WAVE MOTION.
- A logrithmic bound on the location of the poles of the scattering matrix
- The zero dispersion limit, a deterministic analogue of turbulence
- The scattering of sound waves by an obstacle
- Hyperbolic difference equations: a review of the courant-friedrichs-lewy paper in the light of recent developments
- Scattering Theory for Automorphic Functions. (AM-87)
- On a degenerate elliptic‐parabolic equation occurring in the theory of probability
- The Initial Value Problem for Nonlinear Hyperbolic Equations in Two Independent Variables
- An example of huygens' principle
- The paley-wiener theorem for the radon transform
- Conditions for the construction of multi-point total variation diminishing difference schemes
- The exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle
- On the discriminant of real symmetric matrices
- Translation representations for the solution of the non‐euclidean wave equation
- Remarks on the preceding paper
- Correction to “On matrices whose real linear combinations are nonsingular”
- Approximation of measure preserving transformations
- Trace formulas for the schroedinger operator
- Solution of a two-dimensional Cochlea model with fluid viscosity
- Nonlinear Partial Differential Equations and Computing
- Gibbs Phenomena
- A HAMILTONIAN APPROACH TO THE KdV AND OTHER EQUATIONS
- From Cardinals to Chaos: Reflections on the Life and Legacy of Stanislaw Ulam
- Decay of Solutions of Systems of Hyperbolic Conservation Laws
- Change of Variables in Multiple Integrals II
- Writing mathematics well
- Existence of solutions
- The ergodic character of sequences of pedal triangles
- The wave equation in exterior domains
- The acoustic equation with an indefinite energy form and the Schrödinger equation
- On the scattering frequencies of the laplace operator for exterior domains
- Outline of a theory of the KdV equation
- The Zero Dispersion Limit for the KdV Equation
- Complex Proofs of Real Theorems
- A short path to the shortest path
- On the nation of hyperbolicity
- Generators of a Picard modular group in two complex dimensions
- The Flowering of Applied Mathematics in America
- An explicit fundamental domain for the Picard modular group in two complex dimensions
- Solution of a Two-Dimensional Cochlea Model Using Transform Techniques
- On Symmetrizable Differential Operators
- Calculus with applications and computing
- The scope of the energy method
- The differentiability of Pólya's function
- Reciprocal extremal problems in function theory
- Advances in deterministic and stochastic analysis
- A Random Choice Finite-difference Scheme for Hyperbolic Conservation Laws
- Almost periodic behavior of nonlinear waves
- On sums of squares
- On the existence of Green’s function
- Calculus With Applications
- Nonlinear partial differential equations in applied science : proceedings of the U.S.-Japan seminar, Tokyo, 1982
- Numerical Solution of Partial Differential Equations
- Mathematics and physics
- THE ASYMPTOTIC DISTRIBUTION OF LATTICE POINTS
- Cauchy's problem for non-linear hyperbolic differential equations in two independent variables
- The quotient of exponential polynomials
- BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY
- A local paley‐wiener theorem for the radon transform of L2 functions in a non‐euclidean setting
- Mathematics and its applications
- Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces; the case of finite volume
- An inequality for functions of exponential type
- Selected Papers
- The Soul of Mathematics
- Our lives: encounters of a scientist
- OSCILLATORY SOLUTIONS OF PARTIAL DIFFERENTIAL AND DIFFERENCE EQUATIONS
- John von Neumann: The early years, the years at Los Alamos, and the road to computing
- Lectures on hyperbolic partial differentialequations
- Waves and rays
- Multivariable Calculus with Applications
- On symmetrizing hyperbolic differential equations
- The Radon transform and translation representation
- Computational Fluid Dynamics
- A Hamiltonian Approach to the K-dV and Other Equations
- On the factorization of matrix‐valued function
- Analysis of a Picard modular group.
- Introduction to “High Resolution Schemes for Hyperbolic Conservation Laws”
- The Future of Differential Equations
- Scaling laws and vanishing viscosity limits in turbulence theory
- Science and computing
- Symposium growth and development
- On the Regularity of Spectral Densities
- In Praise of Calculus...
- Mathematical aspects of production and distribution of energy : [proceedings of the Symposium in Applied Mathematics of the American Mathematical Society, held in San Antonio, Texas, January 20-21, 1976]
- Major incident pre-hospital care
- A remark on the method of orthogonal projections
- Change of Variables in Multiple Integrals II
- Scattering theory for domains with non-smooth boundaries
- Wave motion : theory, modelling, and computation : proceedings of a conference in honor of the 60th birthday of Peter D. Lax
- Differential equations : La Pietra 1996 : Conference on Differential Equations marking the 70th birthdays of Peter Lax and Louis Nirenberg, July 3-7, 1996, Villa La Pietra, Florence, Italy
- A curious functional equation
- Corrigendum: Conditions for the construction of multipoint variation diminishing di erence schemes
- The translation representation theorem
- Recent advances in partial differential equations, Venice 1996 : proceedings of a conference in honor of the 70th birthdays of Peter D. Lax and Louis Nirenberg : June 10-14, 1996, Venice, Italy
- Shock Waves, Increase of Entropy and Loss of Information
- Paul Roesel Garabedian (1927-2010)
- Almost Periodic Behavior of Nonlinear Waves**Results obtained at the Courant Institute of Mathematical Sciences, New York University, under Contract AT(11–1)-3077 with the U.S. Atomic Energy Commission.
- On a Class of K-p.d. and Non-K-p.d. Operators and Operator Equations*
- On a Class of K-p.d. and Non-K-p.d. Operators and Operator Equations*
- The reception of the theory of distributions
- Olga Arsen ′ evna Oleı̆nik ( 1925 – 2001 )
- Rethinking the Lebesgue Integral
- 7. THE SCATTERING MATRIX FOR THE AUTOMORPHIC WAVE EQUATION
- Review: G. E. Forsythe and P. C. Rosenbloom, Numerical analysis and partial differential equations
- Finite difference approximation to hyperbolic equations
- The beginnings of applied mathematics after the second world war
- 9. THE SELBERG TRACE FORMULA
- 8. THE GENERAL CASE
- Painting and mathematics
- Analytical and numerical methods; advanced computer concepts
- Applications of the Derivative
- Applied analysis/computational mathematics. Final report 1993
- Vectors and matrices
- Recent advances in nonlinear partial differential equations and applications : conference in honor of Peter D. Lax and Louis Nirenberg on their 80th birthdays, June 7-10, 2006, Universidad de Castilla-La Mancha at Palacio Lorenzana, Toledo, Spain
- Major incidents: an overview
- Finite speed of propagation of signals
- The life of Richard Courant
- Review: Numbers and Functions: From a Classical Experimental Mathematicians Point of View, American Mathematical Society, Providence, RI, 2012, 504 pp., ISBN 978-0821887950, $58. by Victor H. Moll
- Bifurcation of Periodic Solutions for a Semilinear Wave Equation
- Correction to: Translation representation for the solution of the non-euclidean wave equation
- Divergence and Stokes’ Theorems and conservation laws
- Erratum to: Boundary Value Problems for First Order Operators
- Rotation and the trigonometric functions
- Spectra of Products and Numerical Ranges1
- Energy decay for star-shaped obstacles
- Applications to motion
- Louis Nirenberg (1925–2020)
- The Cauchy Integral Theorem
- Lectures on Combustion Theory
- Errata: On the Existence of Green's Function
- 3. A MODIFIED THEORY FOR SECOND ORDER EQUATIONS WITH AN INDEFINITE ENERGY FORM
- VI.83 Richard Courant
- Hyperbolic equations with variable coefficients
- Thomas H. Wolff (1954–2000), Volume 48, Number 5
- Writing Mathematics Well. By Leonard Gillman
- Calculus With Applications, 2nd Edition
- Functions and Continuity
- 2. AN ABSTRACT SCATTERING THEORY
- THE FORMATION AND DECAY OF SHOCK WAVES
- Others reasons for second opinions
- My Brain is Open: The Mathematical Journeys of Paul Erdös, by Bruce Schechter; The Man Who Loved Only Numbers: The Story of Paul Erdös and the Search for Mathematical Truth, by Paul Hoffman
- The Theory of Differentiable Functions
- Recent methods for computing discontinuous solutions — A review
- Complex dynamics: The Fatou-Julia-Baker theorem
- [67-1] On symmetrizable differential operators, Proc. Symp. Pure Math., 10 (1967), Singular Integrals, ed. Alberto P. Calderon, A.M.S., 128–137, (with P.D. Lax).
- Numbers and Limits
- 5. THE AUTOMORPHIC WAVE EQUATIONS
- Mixed initial and boundary value problems
- Lecture Series in Differential Equations. Session 8. Numerical Solutions.
- On the accuracy of glimm's scheme
- Fallacies, Flaws, And Flimflam
- Pseudodifferential operators and energy inequalities
- II. The Mathematics Curriculum
- Liouville’s theorem in Banach spaces
- Partial differential equations
- Line and surface integrals
- Raoul Bott as we knew him
- Huygens’ principle for the wave equation on odd-dimensional spheres
- [65-1] Boundary value problems for first order operators, (With Peter D. Lax), Comm. Pure Appl. Math., XVIII (1965), 355–388
- Population dynamics and chemical reactions
- Probability and its applications
- Numbers and Functions: From a Classical Experimental Mathematicians Point of View. By Victor H. Moll
- The Derivative and Differentiation
- Methods for Integration
- On the Weak Convergence of Dispersive Difference Schemes
- list of Chauvenet Prize winners
- Coda: Transonic airfoils and SLE
- Review: Necia G. Cooper, From cardinals to chaos: Reflections on the life and legacy of Stan Ulam
- 6. INCOMING AND OUTGOING SUBSPACES FOR THE AUTOMORPHIC WAVE EQUATION
- The Geometry of Numbers: Gaussian Integers, by Peter D. Lax
- §4. THE LAPLACE-BELTRAMI OPERATOR FOR THE MODULAR GROUP
- Approximation of Integrals
- Growth and decay
- The prime number theorem
- LIST OF SYMBOLS
- Hyperbolic equations with constant coefficients
- Banach algebras: The Gleason-Kahane-Żelazko theorem
- The Borel-Carathéodory inequality
- More about differentiation
- UNIFORMLY CONVERGENT 3-TGFEM VS LSFEM FOR SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS ON A SHISHKIN BASED LOGARITHMIC MESH

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