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Lax, Peter David

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Author ID: lax.peter-d Recent zbMATH articles by "Lax, Peter David"
Published as: Lax, P.; Lax, P. D.; Lax, Peter; Lax, Peter D.
External Links: MGP · Wikidata · dblp · GND · MacTutor
Awards: Wolf Prize (1987) · Abel Prize (2005)
Documents Indexed: 214 Publications since 1944, including 24 Books
Biographic References: 17 Publications
all top 5

Co-Authors

108 single-authored
45 Phillips, Ralph Saul
7 Levermore, C. David
5 Synge Morawetz, Cathleen
4 Harten, Ami
4 Nirenberg, Louis
3 Courant, Richard
3 Francsics, Gábor
3 Friedrichs, Kurt Otto
3 Glimm, James G.
3 Jameson, Antony
3 Lax, Anneli
3 Liu, Xudong
3 Wendroff, Burton
2 Burstein, Samuel Z.
2 Jäger, Willi
2 LeVeque, Randall J.
2 Mazur, Barry
2 Peskin, Charles S.
2 Terrell, Maria Shea
1 Adams, John Frank
1 Anastasio, Sal
1 Arnol’d, Vladimir Igorevich
1 Atiyah, Michael Francis
1 Berg, Paul W.
1 Borel, Armand
1 Carleson, Lennart
1 Chang, Sun-Yung Alice
1 Ching, Wai-Mee
1 Ciarlet, Philippe Gaston
1 Conlon, Lawrence
1 Constantin, Peter
1 Curtis, Edward B.
1 Davis, Martin David
1 Douglas, Ronald George
1 Edwards, Harold Mortimer jun.
1 Falbel, Elisha
1 Fisher, Joseph A.
1 Foiaş, Ciprian Ilie
1 Friedlander, Susan Jean
1 Fujita, Hiroshi
1 Garabedian, Cathy
1 Garabedian, Emily
1 Gindikin, Simon Grigorevich
1 Goodman, Jonathan B.
1 Hildebrandt, Stefan
1 Hill, C. Denson
1 Hirzebruch, Friedrich
1 Hou, Thomas Yizhao
1 Huebschmann, Johannes
1 Hyman, James M.
1 Jones, Peter Wilcox
1 Kazdan, Jerry L.
1 Kazhdan, David A.
1 Keel, Markus
1 Khenkin, Gennadiĭ Markovich
1 Kostant, Bertram
1 Magenes, Enrico
1 Majda, Andrew J.
1 Milgram, Arthur Norton
1 Mock, Michael S.
1 Morokoff, William J.
1 Mumford, David Bryant
1 Nguyen Minh Chuong
1 Novikoff, Albert B. J.
1 Parker, John R.
1 Phong, Duong Hong
1 Porta, Horacio A.
1 Retakh, Vladimir Solomonovich
1 Richtmyer, Robert D.
1 Seregin, Gregory A.
1 Shapiro, Ruth Bers
1 Sharir, Micha
1 Shulman, Herbert
1 Singer, Isadore M.
1 Strang, William Gilbert
1 Swenson, Eva V.
1 Temam, Roger Meyer
1 Ural’tseva, Nina Nikolaevna
1 van Leer, Bram
1 Venakides, Stephanos
1 Vershik, Anatoliĭ Moiseevich
1 Vishik, Marko Iosifovich
1 Wigler, Michael
1 Willig, Paul M.
1 Zalcman, Lawrence Allen
1 Zelevinskiĭ, Andreĭ V.
all top 5

Serials

52 Communications on Pure and Applied Mathematics
9 American Mathematical Monthly
9 Notices of the American Mathematical Society
6 Bulletin of the American Mathematical Society
4 Proceedings of the National Academy of Sciences of the United States of America
4 SIAM Review
3 Journal of Functional Analysis
3 Proceedings of the American Mathematical Society
3 Bulletin of the American Mathematical Society. New Series
3 Annals of Mathematics Studies
3 Undergraduate Texts in Mathematics
2 Archive for Rational Mechanics and Analysis
2 Journal of Computational Physics
2 Advances in Mathematics
2 Duke Mathematical Journal
2 Indiana University Mathematics Journal
2 SIAM Journal on Numerical Analysis
2 Journal of Scientific Computing
2 SIAM Journal on Applied Mathematics
2 Springer Collected Works in Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Rocky Mountain Journal of Mathematics
1 Theory of Probability and its Applications
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Integral Equations and Operator Theory
1 Memoirs of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Physica D
1 Applied Numerical Mathematics
1 IBM Journal of Research and Development
1 Linear Algebra and its Applications
1 Applied Mathematics
1 SIAM Journal on Scientific Computing
1 Journal of Mathematical Sciences (New York)
1 Methods and Applications of Analysis
1 Journal of Evolution Equations
1 Bonner Mathematische Schriften
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 North-Holland Mathematics Studies
1 Proceedings of Symposia in Applied Mathematics
1 University Lecture Series
1 Courant Lecture Notes in Mathematics
1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts
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Fields

82 Partial differential equations (35-XX)
32 Numerical analysis (65-XX)
26 History and biography (01-XX)
26 Operator theory (47-XX)
20 Fluid mechanics (76-XX)
15 Number theory (11-XX)
13 Real functions (26-XX)
8 General and overarching topics; collections (00-XX)
8 Functions of a complex variable (30-XX)
7 Global analysis, analysis on manifolds (58-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Measure and integration (28-XX)
5 Functional analysis (46-XX)
4 Integral transforms, operational calculus (44-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Geometry (51-XX)
3 Mathematics education (97-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
2 Probability theory and stochastic processes (60-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 Group theory and generalizations (20-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)

Publications by Year

Citations contained in zbMATH Open

158 Publications have been cited 8,336 times in 6,787 Documents Cited by Year
Hyperbolic systems of conservation laws. II. Zbl 0081.08803
Lax, Peter D.
935
1957
Integrals of nonlinear equations of evolution and solitary waves. Zbl 0162.41103
Lax, Peter D.
730
1968
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051
Harten, Amiram; Lax, Peter D.; van Leer, Bram
608
1983
Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062
Lax, Peter D.
437
1973
Systems of conservation laws. Zbl 0152.44802
Lax, Peter D.; Wendroff, B.
430
1960
Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404
Lax, Peter D.
354
1954
Scattering theory for transport phenomena. Zbl 0214.12002
Lax, P. D.; Phillips, R. S.
221
1967
Systems of conservation equations with a convex extension. Zbl 0229.35061
Friedrichs, K. O.; Lax, P. D.
218
1971
Development of singularities of solutions of nonlinear hyperbolic partial differential equations. Zbl 0135.15101
Lax, P. D.
217
1964
Functional analysis. Zbl 1009.47001
Lax, Peter D.
216
2002
Survey of the stability of linear finite difference equations. Zbl 0072.08903
Lax, Peter D.; Richtmyer, R. D.
180
1956
Local boundary conditions for dissipative symmetric linear differential operators. Zbl 0094.07502
Lax, Peter; Phillips, R. S.
161
1960
The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067
Lax, Peter D.; Levermore, C. David
136
1983
Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060
Lax, Peter D.; Liu, Xu-Dong
131
1998
Difference schemes for hyperbolic equations with high order of accuracy. Zbl 0233.65050
Lax, Peter D.; Wendroff, Burton
128
1964
Decay of solutions of systems of nonlinear hyperbolic conservation laws. Zbl 0204.11304
Glimm, J.; Lax, Peter D.
125
1970
Proof of a conjecture of P. Erdős on the derivative of a polynomial. Zbl 0061.01802
Lax, Peter D.
122
1944
Periodic solutions of the KdV equation. Zbl 0295.35004
Lax, Peter D.
116
1975
Scattering theory. Zbl 0186.16301
Lax, Peter D.; Phillips, Ralph S.
116
1967
Asymptotic solutions of oscillatory initial value problems. Zbl 0083.31801
Lax, Peter D.
115
1957
Scattering theory for automorphic functions. Zbl 0362.10022
Lax, Peter D.; Phillips, Ralph S.
110
1976
Parabolic equations. Zbl 0058.08703
Lax, P. D.; Milgram, A. N.
104
1954
A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029
Constantin, P.; Lax, P. D.; Majda, A.
101
1985
On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070
Harten, Amiram; Hyman, J. M.; Lax, Peter D.
92
1976
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036
Lax, Peter D.; Phillips, Ralph S.
90
1982
Translation invariant spaces. Zbl 0085.09102
Lax, Peter D.
85
1959
Shock waves and entropy. Zbl 0268.35014
Lax, Peter
82
1971
Scattering theory. Rev. ed. Zbl 0697.35004
Lax, Peter D.; Phillips, Ralph S.
80
1989
Nonlinear hyperbolic systems of conservation laws. Zbl 0108.28203
Lax, P. D.
75
1963
Almost periodic solutions of the KdV equation. Zbl 0329.35015
Lax, Peter D.
63
1976
The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074
Lax, Peter D.; Levermode, C. David
57
1983
Scattering theory. Zbl 0117.09104
Lax, P. D.; Phillips, R. S.
57
1964
A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations. Zbl 0072.33004
Lax, Peter D.
56
1956
On Cauchy’s problem for hyperbolic equations and the differentiability of solutions of elliptic equations. Zbl 0067.07502
Lax, Peter D.
56
1955
On stability for difference schemes; a sharp form of Garding’s inequality. Zbl 0185.22801
Lax, Peter D.; Nirenberg, Louis
51
1966
Hyperbolic partial differential equations. Zbl 1113.35002
Lax, Peter D.
49
2006
Exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0161.08001
Lax, Peter D.; Morawetz, C. S.; Phillips, R. S.
49
1963
Differential equations, difference equations and matrix theory. Zbl 0086.01603
Lax, Peter D.
49
1958
The formation and decay of shock waves. Zbl 0228.35019
Lax, Peter D.
47
1972
Symmetrizable linear transformations. Zbl 0057.34402
Lax, Peter D.
43
1954
The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073
Lax, Peter D.; Levermode, C. David
41
1983
Linear algebra and its applications. 2nd edition. Zbl 1152.15001
Lax, Peter D.
40
2007
Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036
Lax, P. D.; Phillips, R. S.
38
1972
The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior. Zbl 0819.35122
Lax, P. D.; Levermore, C. D.; Venakides, S.
37
1993
Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069
Lax, P. D.; Phillips, R. S.
37
1973
Nonlinear hyperbolic equations. Zbl 0050.31705
Lax, Peter D.
37
1953
On matrices whose real linear combinations are nonsingular. Zbl 0168.02404
Adams, J. F.; Lax, P. D.; Phillips, R. S.
36
1966
Decaying modes for the wave equation in the exterior of an obstacle. Zbl 0181.38201
Lax, Peter D.; Phillips, R. S.
33
1969
The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075
Mock, Michael S.; Lax, Peter D.
31
1978
Boundary value problems for first order operators. Zbl 0178.11403
Friedrichs, K. O.; Lax, P. D.
31
1965
A Phragmén-Lindelöf theorem on harmonic analysis and its application to some questions in the theory of elliptic equations. Zbl 0077.31501
Lax, Peter D.
28
1957
On the stability of difference schemes. Zbl 0113.32301
Lax, Peter D.; Wendroff, B.
27
1962
The initial value problem for nonlinear hyperbolic equations in two independent variables. Zbl 0057.32502
Lax, P. D.
27
1954
On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients. Zbl 0102.11701
Lax, Peter D.
24
1961
On dispersive difference schemes. I. Zbl 0647.65062
Goodman, Jonathan; Lax, Peter D.
22
1988
A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038
Harten, Amiram; Lax, Peter D.
22
1981
On nonlinear partial differential equations with two independent variables. Zbl 0034.20103
Courant, Richard; Lax, Peter
22
1949
Dispersive approximations in fluid dynamics. Zbl 0729.76065
Hou, Thomas Y.; Lax, Peter D.
21
1991
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024
Lax, Peter D.; Phillips, Ralph S.
20
1984
The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081
Lax, Peter D.; Levermore, C. David
20
1979
Linear algebra. Zbl 0904.15001
Lax, Peter D.
18
1997
The scattering of sound waves by an obstacle. Zbl 0335.35075
Lax, Peter D.; Phillips, Ralph S.
18
1977
The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803
Lax, Peter D.; Phillips, R. S.
18
1970
The multiplicity of eigenvalues. Zbl 0483.15006
Lax, Peter D.
17
1982
Decay of solutions of systems of hyperbolic conservation laws. Zbl 0146.33803
Glimm, J.; Lax, P. D.
17
1967
Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065
Lax, Peter D.; Phillips, Ralph S.
16
1979
Stability of linear and nonlinear difference schemes. Zbl 0146.13701
Lax, P. D.
16
1966
The propagation of discontinuities in wave motion. Zbl 0072.30803
Courant, Richard; Lax, P. D.
16
1956
Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089
Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J.
15
1998
Scattering theory. Zbl 0225.35081
Lax, Peter D.; Phillips, Ralph S.
15
1971
A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002
Lax, P. D.; Phillips, R. S.
15
1971
The wave equation in exterior domains. Zbl 0103.06401
Lax, Peter D.; Phillips, Ralph S.
14
1962
On the discriminant of real symmetric matrices. Zbl 0933.15013
Lax, Peter D.
13
1998
The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083
Lax, Peter D.
13
1991
On dispersive difference schemes. Zbl 0613.65127
Lax, Peter D.
13
1986
Scattering theory for automorphic functions. Zbl 0442.10018
Lax, Peter D.; Phillips, Ralph S.
13
1980
A scattering theory for automorphic functions. Zbl 0297.35061
Lax, P. D.; Phillips, R. S.
13
1974
Approximation of measure preserving transformations. Zbl 0208.32202
Lax, P. D.
13
1971
Trace formulas for the Schrödinger operator. Zbl 0802.34089
Lax, Peter D.
12
1994
Periodic solutions of the KdV equations. Zbl 0297.35004
Lax, Peter D.
12
1974
Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802
Lax, P. D.; Phillips, R. S.
12
1971
The acoustic equation with an indefinite energy form and the Schrödinger equation. Zbl 0186.16401
Lax, P. D.; Phillips, R. S.
12
1967
The exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0108.28301
Lax, P. D.; Morawetz, C. S.; Phillips, R. S.
12
1962
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. Zbl 0874.35071
Liu, Xu-Dong; Lax, Peter D.
11
1996
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033
Lax, Peter D.; Phillips, Ralph S.
11
1985
An example of Huygens’ principle. Zbl 0362.35052
Lax, Peter D.; Phillips, Ralph S.
11
1978
Accuracy and resolution in the computation of solutions of linear and nonlinear equations. Zbl 0457.65068
Lax, Peter D.
10
1978
The differentiability of Polya’s function. Zbl 0262.26007
Lax, Peter D.
10
1973
Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038
Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R.
9
2011
On symmetrizable differential operators. Zbl 0184.36603
Friedrichs, K. O.; Lax, P. D.
9
1967
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114
Liu, Xu-Dong; Lax, Peter D.
8
2003
Mathematics: frontiers and perspectives. Zbl 1047.00015
Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.)
8
2000
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019
Lax, Peter D.; Phillips, Ralph S.
8
1984
On the scattering frequencies of the Laplace operator for exterior domains. Zbl 0226.35077
Lax, Peter D.; Phillips, Ralph S.
8
1972
Reciprocal extremal problems in function theory. Zbl 0064.31301
Lax, Peter D.
8
1955
Mathematics and physics. Zbl 1157.00016
Lax, Peter D.
7
2008
Change of variables in multiple integrals. Zbl 1007.26006
Lax, Peter D.
7
1999
Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071
Jameson, A.; Lax, P. D.
7
1987
On sums of squares. Zbl 0371.15013
Lax, Anneli; Lax, Peter D.
7
1978
On the existence of Green’s functions. Zbl 0047.09802
Lax, Peter
7
1952
Multivariable calculus with applications. Zbl 1396.26002
Lax, Peter D.; Terrell, Maria Shea
1
2017
Complex proofs of real theorems. Zbl 1243.30001
Lax, Peter D.; Zalcman, Lawrence
5
2012
Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038
Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R.
9
2011
Rethinking the Lebesgue integral. Zbl 1229.26019
Lax, Peter D.
1
2009
Mathematics and physics. Zbl 1157.00016
Lax, Peter D.
7
2008
Linear algebra and its applications. 2nd edition. Zbl 1152.15001
Lax, Peter D.
40
2007
Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Zbl 1115.35008
Nguyen Minh Chuong (ed.); Ciarlet, P. G. (ed.); Lax, P. (ed.); Mumford, D. (ed.); Phong, D. H. (ed.)
6
2007
Computational fluid dynamics. Zbl 1151.76555
Lax, Peter D.
2
2007
Hyperbolic partial differential equations. Zbl 1113.35002
Lax, Peter D.
49
2006
Gibbs phenomena. Zbl 1103.65095
Lax, Peter D.
5
2006
Analysis of a Picard modular group. Zbl 1206.11048
Francsics, Gábor; Lax, Peter D.
3
2006
A semi-explicit fundamental domain for a Picard modular group in complex hyperbolic space. Zbl 1065.22007
Francsics, Gábor; Lax, Peter D.
3
2005
Selected papers. Vols. I, II. Edited by Peter Sarnak and Andrew Majda. Zbl 1087.01018
Lax, Peter D.
1
2005
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114
Liu, Xu-Dong; Lax, Peter D.
8
2003
Functional analysis. Zbl 1009.47001
Lax, Peter D.
216
2002
The Radon transform and translation representation. Zbl 1002.35005
Lax, Peter D.
5
2001
Change of variables in multiple integrals. II. Zbl 1007.26007
Lax, Peter D.
1
2001
Mathematics: frontiers and perspectives. Zbl 1047.00015
Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.)
8
2000
Jean Leray (1906–1998). Zbl 0977.01032
Borel, Armand; Henkin, Gennadi M.; Lax, Peter D.
1
2000
Change of variables in multiple integrals. Zbl 1007.26006
Lax, Peter D.
7
1999
Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060
Lax, Peter D.; Liu, Xu-Dong
131
1998
Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089
Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J.
15
1998
On the discriminant of real symmetric matrices. Zbl 0933.15013
Lax, Peter D.
13
1998
Linear algebra. Zbl 0904.15001
Lax, Peter D.
18
1997
Introduction to “High resolution schemes for hyperbolic conservation laws”. Zbl 0890.65095
Lax, Peter
1
1997
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. Zbl 0874.35071
Liu, Xu-Dong; Lax, Peter D.
11
1996
Outline of a theory of the KdV equation. Zbl 0898.35089
Lax, Peter D.
1
1996
A short path to the shortest path. Zbl 0859.26009
Lax, Peter D.
2
1995
Trace formulas for the Schrödinger operator. Zbl 0802.34089
Lax, Peter D.
12
1994
The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior. Zbl 0819.35122
Lax, P. D.; Levermore, C. D.; Venakides, S.
37
1993
The existence of eigenvalues of integral operators. Zbl 0817.47070
Lax, Peter D.
1
1993
Translation representation for automorphic solutions of the wave equation in non-Euclidean spaces. IV. Zbl 0796.35093
Lax, Peter D.; Phillips, Ralph S.
3
1992
Dispersive approximations in fluid dynamics. Zbl 0729.76065
Hou, Thomas Y.; Lax, Peter D.
21
1991
The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083
Lax, Peter D.
13
1991
Deterministic theories of turbulence. Zbl 0727.76063
Lax, P. D.
2
1991
The ergodic character of sequences of pedal triangles. Zbl 0729.28011
Lax, Peter D.
6
1990
Scattering theory. Rev. ed. Zbl 0697.35004
Lax, Peter D.; Phillips, Ralph S.
80
1989
The flowering of applied mathematics in America. Zbl 0687.01010
Lax, Peter D.
3
1989
On dispersive difference schemes. I. Zbl 0647.65062
Goodman, Jonathan; Lax, Peter D.
22
1988
Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
6
1988
Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071
Jameson, A.; Lax, P. D.
7
1987
On dispersive difference schemes. Zbl 0613.65127
Lax, Peter D.
13
1986
Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65070
Jameson, Antony; Lax, Peter D.
5
1986
Hyperbolic systems of conservation laws in several space variables. Zbl 0631.35057
Lax, Peter D.
3
1986
Mathematics and computing. Zbl 0628.00019
Lax, Peter D.
1
1986
A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029
Constantin, P.; Lax, P. D.; Majda, A.
101
1985
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033
Lax, Peter D.; Phillips, Ralph S.
11
1985
Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130
LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D.
5
1985
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces; the case of finite volume. Zbl 0576.30037
Lax, Peter D.; Phillips, Ralph S.
1
1985
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024
Lax, Peter D.; Phillips, Ralph S.
20
1984
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019
Lax, Peter D.; Phillips, Ralph S.
8
1984
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051
Harten, Amiram; Lax, Peter D.; van Leer, Bram
608
1983
The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067
Lax, Peter D.; Levermore, C. David
136
1983
The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074
Lax, Peter D.; Levermode, C. David
57
1983
The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073
Lax, Peter D.; Levermode, C. David
41
1983
Nonlinear partial differential equations in applied science. Proceedings of the U.S. - Japan Seminar, Tokyo, 1982. Zbl 0515.00015
Fujita, Hiroshi (ed.); Lax, Peter D. (ed.); Strang, Gilbert (ed.)
1
1983
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036
Lax, Peter D.; Phillips, Ralph S.
90
1982
The multiplicity of eigenvalues. Zbl 0483.15006
Lax, Peter D.
17
1982
A local Paley-Wiener theorem for the Radon transform of \(L_ 2\) functions in a non-Euclidean setting. Zbl 0511.58037
Lax, Peter D.; Phillips, Ralph S.
2
1982
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.52007
Lax, Peter D.; Phillips, Ralph S.
2
1982
A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038
Harten, Amiram; Lax, Peter D.
22
1981
Translation representations for the solution of the non-euclidean wave equation. II. Zbl 0446.35004
Lax, Peter D.; Phillips, Ralph S.
4
1981
The translation representation theorem. Zbl 0481.47027
Lax, Peter D.; Phillips, Ralph S.
1
1981
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0467.10037
Lax, Peter D.; Phillips, Ralph S.
1
1981
Scattering theory for automorphic functions. Zbl 0442.10018
Lax, Peter D.; Phillips, Ralph S.
13
1980
On the notion of hyperbolicity. Zbl 0464.35059
Lax, Peter D.
3
1980
The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081
Lax, Peter D.; Levermore, C. David
20
1979
Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065
Lax, Peter D.; Phillips, Ralph S.
16
1979
The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075
Mock, Michael S.; Lax, Peter D.
31
1978
An example of Huygens’ principle. Zbl 0362.35052
Lax, Peter D.; Phillips, Ralph S.
11
1978
Accuracy and resolution in the computation of solutions of linear and nonlinear equations. Zbl 0457.65068
Lax, Peter D.
10
1978
On sums of squares. Zbl 0371.15013
Lax, Anneli; Lax, Peter D.
7
1978
A Hamiltonian approach to the KdV and other equations. Zbl 0476.35066
Lax, Peter D.
6
1978
The time delay operator and a related trace formula. Zbl 0463.47006
Lax, Peter D.; Phillips, Ralph S.
6
1978
The scattering of sound waves by an obstacle. Zbl 0335.35075
Lax, Peter D.; Phillips, Ralph S.
18
1977
Scattering theory for automorphic functions. Zbl 0362.10022
Lax, Peter D.; Phillips, Ralph S.
110
1976
On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070
Harten, Amiram; Hyman, J. M.; Lax, Peter D.
92
1976
Almost periodic solutions of the KdV equation. Zbl 0329.35015
Lax, Peter D.
63
1976
On the factorization of matrix valued functions. Zbl 0326.47033
Lax, Peter D.
2
1976
Calculus with applications and computing. Vol. I. Zbl 0348.26003
Lax, Peter; Burstein, Samuel; Lax, Anneli
1
1976
Periodic solutions of the KdV equation. Zbl 0295.35004
Lax, Peter D.
116
1975
Almost periodic behavior of nonlinear waves. Zbl 0306.35066
Lax, Peter D.
4
1975
A scattering theory for automorphic functions. Zbl 0297.35061
Lax, P. D.; Phillips, R. S.
13
1974
Periodic solutions of the KdV equations. Zbl 0297.35004
Lax, Peter D.
12
1974
Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062
Lax, Peter D.
437
1973
Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069
Lax, P. D.; Phillips, R. S.
37
1973
The differentiability of Polya’s function. Zbl 0262.26007
Lax, Peter D.
10
1973
The formation and decay of shock waves. Zbl 0228.35019
Lax, Peter D.
47
1972
Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036
Lax, P. D.; Phillips, R. S.
38
1972
On the scattering frequencies of the Laplace operator for exterior domains. Zbl 0226.35077
Lax, Peter D.; Phillips, Ralph S.
8
1972
Systems of conservation equations with a convex extension. Zbl 0229.35061
Friedrichs, K. O.; Lax, P. D.
218
1971
Shock waves and entropy. Zbl 0268.35014
Lax, Peter
82
1971
Scattering theory. Zbl 0225.35081
Lax, Peter D.; Phillips, Ralph S.
15
1971
A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002
Lax, P. D.; Phillips, R. S.
15
1971
Approximation of measure preserving transformations. Zbl 0208.32202
Lax, P. D.
13
1971
Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802
Lax, P. D.; Phillips, R. S.
12
1971
Approximation of measure preserving transformations. Zbl 0205.35702
Lax, P. D.
6
1971
Nonlinear partial differential equations of evolution. Zbl 0223.35024
Lax, Peter D.
3
1971
Decay of solutions of systems of nonlinear hyperbolic conservation laws. Zbl 0204.11304
Glimm, J.; Lax, Peter D.
125
1970
The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803
Lax, Peter D.; Phillips, R. S.
18
1970
...and 58 more Documents
all top 5

Cited by 7,368 Authors

41 Chen, Gui-Qiang G.
38 Shu, Chi-Wang
35 Liu, Tai-Ping
33 Lax, Peter David
32 LeFloch, Philippe Gerard
32 Rauch, Jeffrey B.
27 Phillips, Ralph Saul
27 Tadmor, Eitan
26 Berthon, Christophe
26 Dumbser, Michael
23 Mir, Abdullah
22 Fokas, Athanassios S.
22 Ma, Wen-Xiu
22 Toro, Eleuterio F.
21 Dafermos, Constantine M.
21 El, Gennady A.
21 Kong, Dexing
21 Smoller, Joel Alan
20 Ostapenko, Vladimir Viktorovich
20 Shearer, Michael
20 Yang, Tong
19 Serre, Denis
18 Métivier, Guy
18 Petkov, Vesselin M.
17 Balsara, Dinshaw S.
17 Jørgensen, Palle E. T.
17 Li, Jiequan
17 Majda, Andrew J.
17 Shao, Zhiqiang
16 Marchesin, Dan
16 Ruggeri, Tommaso
16 Sarnak, Peter Clive
16 Zhu, Changjiang
15 Chalons, Christophe
15 Chien, Mao-Ting
15 Colombo, Rinaldo M.
15 Kulikovskiĭ, Andreĭ Gennad’evich
15 Nakazato, Hiroshi
15 Temple, Blake
15 Wazwaz, Abdul-Majid Abdul-Rahman
15 Zumbrun, Kevin R.
14 Castro, Manuel J.
14 Freistühler, Heinrich
14 Frid, Hermano
14 Osher, Stanley Joel
14 Popov, Boyan
14 Qiu, Jianxian
14 Sever, Michael
13 Allahverdiev, Bilender Paşaoğlu
13 Boillat, Guy
13 Dewan, Kum Kum
13 Guermond, Jean-Luc
13 Jeffrey, Alan P.
13 Levermore, C. David
13 Liu, Hailiang
13 Parés Madroñal, Carlos
13 Peng, Yuejun
13 Trakhinin, Yuri L.
13 Zworski, Maciej
12 Ancona, Fabio
12 Aziz, Abdul
12 Bressan, Alberto
12 Coulombel, Jean-François
12 Grava, Tamara
12 Hong, John Meng-Kai
12 Li, Yachun
12 Perla Menzala, Gustavo Alberto
12 Saurel, Richard
12 Shah, Wali Mohammad
12 Stoyanov, Luchezar N.
12 Wang, Dehua
12 Xin, Zhouping
11 Ablowitz, Mark Jay
11 Adams, Nikolaus A.
11 Chen, Geng
11 Coquel, Frédéric
11 Currò, Carmela
11 Ding, Min
11 DiPerna, Ronald J.
11 Hoefer, Mark A.
11 Joseph, Kayyunnapara Thomas
11 Kawashima, Shuichi
11 Kurganov, Alexander
11 Palin, Vladimir Vladimirovich
11 Slemrod, Marshall
11 Zhang, Yongqian
10 Bauer, Martin
10 Carpenter, Mark H.
10 Chen, Shuxing
10 Greenberg, James M.
10 Guès, Olivier
10 Keyfitz, Barbara Lee
10 Klein, Christian
10 Kontorovich, Alex V.
10 Li, Tatsien
10 Liman, Abdul
10 Prykarpatsky, Anatoliy Karolevych
10 Radkevich, Evgeniĭ Vladimirovich
10 Ren, Yuxin
10 Ryan, Jennifer K.
...and 7,268 more Authors
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Cited in 590 Serials

521 Journal of Computational Physics
316 Journal of Mathematical Analysis and Applications
281 Journal of Differential Equations
223 Journal of Mathematical Physics
199 Archive for Rational Mechanics and Analysis
173 Computers and Fluids
138 Communications in Mathematical Physics
128 Journal of Scientific Computing
114 Transactions of the American Mathematical Society
109 Communications in Partial Differential Equations
108 Journal of Functional Analysis
96 Mathematics of Computation
95 Applied Mathematics and Computation
91 Physica D
90 Computer Methods in Applied Mechanics and Engineering
79 Proceedings of the American Mathematical Society
76 Computers & Mathematics with Applications
67 Journal of Computational and Applied Mathematics
64 Journal of Hyperbolic Differential Equations
61 Linear Algebra and its Applications
59 Applied Numerical Mathematics
58 Communications on Pure and Applied Mathematics
57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
49 Mathematical Methods in the Applied Sciences
49 ZAMP. Zeitschrift für angewandte Mathematik und Physik
47 Numerische Mathematik
43 Duke Mathematical Journal
42 International Journal for Numerical Methods in Fluids
41 Journal of Fluid Mechanics
40 Advances in Mathematics
37 Applicable Analysis
37 Mathematische Annalen
35 Studies in Applied Mathematics
34 Annales de l’Institut Fourier
34 Inventiones Mathematicae
32 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
32 Journal of Mathematical Sciences (New York)
31 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
31 SIAM Journal on Scientific Computing
31 Discrete and Continuous Dynamical Systems
31 Bulletin of the American Mathematical Society
30 Publications of the Research Institute for Mathematical Sciences, Kyoto University
30 SIAM Journal on Mathematical Analysis
29 Wave Motion
28 Ukrainian Mathematical Journal
28 Acta Applicandae Mathematicae
27 Bulletin of the American Mathematical Society. New Series
27 Journal of Nonlinear Mathematical Physics
26 Journal of Soviet Mathematics
26 Quarterly of Applied Mathematics
26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
25 Journal of Statistical Physics
25 Letters in Mathematical Physics
25 Chaos, Solitons and Fractals
25 Functional Analysis and its Applications
25 Mathematische Zeitschrift
25 Journal de Mathématiques Pures et Appliquées. Neuvième Série
25 Nonlinear Analysis. Theory, Methods & Applications
24 SIAM Journal on Numerical Analysis
24 Communications in Nonlinear Science and Numerical Simulation
23 Journal d’Analyse Mathématique
23 Theoretical and Mathematical Physics
23 Journal of Geometry and Physics
23 Annali di Matematica Pura ed Applicata. Serie Quarta
23 Integral Equations and Operator Theory
23 Applied Mathematics Letters
23 Continuum Mechanics and Thermodynamics
23 Proceedings of the Japan Academy
21 Journal of Engineering Mathematics
20 Acta Mathematica
20 Siberian Mathematical Journal
19 Annales de l’Institut Henri Poincaré. Physique Théorique
18 Nonlinearity
17 Acta Mechanica
17 Mathematical Notes
17 Mathematics and Computers in Simulation
17 Chinese Annals of Mathematics. Series B
17 Applied Mathematical Modelling
17 Journal of Elasticity
17 Abstract and Applied Analysis
17 Nonlinear Analysis. Real World Applications
17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
16 Numerical Methods for Partial Differential Equations
15 Israel Journal of Mathematics
15 Journal of Applied Mathematics and Mechanics
15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
15 Mathematical and Computer Modelling
15 Journal of Nonlinear Science
14 Computer Physics Communications
14 Proceedings of the Japan Academy. Series A
14 RAIRO. Modélisation Mathématique et Analyse Numérique
14 Journal of the American Mathematical Society
14 Japan Journal of Industrial and Applied Mathematics
14 Journal of High Energy Physics
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Computational Mathematics and Mathematical Physics
13 SIAM Journal on Applied Mathematics
13 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
13 Advances in Computational Mathematics
12 International Journal of Theoretical Physics
...and 490 more Serials
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Cited in 63 Fields

3,776 Partial differential equations (35-XX)
1,990 Fluid mechanics (76-XX)
1,461 Numerical analysis (65-XX)
615 Dynamical systems and ergodic theory (37-XX)
494 Operator theory (47-XX)
315 Mechanics of deformable solids (74-XX)
280 Ordinary differential equations (34-XX)
275 Global analysis, analysis on manifolds (58-XX)
228 Quantum theory (81-XX)
196 Functions of a complex variable (30-XX)
194 Statistical mechanics, structure of matter (82-XX)
155 Functional analysis (46-XX)
146 Differential geometry (53-XX)
137 Probability theory and stochastic processes (60-XX)
131 Optics, electromagnetic theory (78-XX)
119 Linear and multilinear algebra; matrix theory (15-XX)
118 Number theory (11-XX)
99 Classical thermodynamics, heat transfer (80-XX)
95 Relativity and gravitational theory (83-XX)
95 Geophysics (86-XX)
90 Systems theory; control (93-XX)
89 Mechanics of particles and systems (70-XX)
84 Harmonic analysis on Euclidean spaces (42-XX)
81 Calculus of variations and optimal control; optimization (49-XX)
66 Approximations and expansions (41-XX)
66 Biology and other natural sciences (92-XX)
65 Algebraic geometry (14-XX)
62 Topological groups, Lie groups (22-XX)
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55 Operations research, mathematical programming (90-XX)
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42 Nonassociative rings and algebras (17-XX)
40 Computer science (68-XX)
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34 Difference and functional equations (39-XX)
33 Abstract harmonic analysis (43-XX)
33 Integral transforms, operational calculus (44-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
30 Statistics (62-XX)
30 Astronomy and astrophysics (85-XX)
29 History and biography (01-XX)
28 Potential theory (31-XX)
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27 Convex and discrete geometry (52-XX)
24 Group theory and generalizations (20-XX)
23 Combinatorics (05-XX)
22 General and overarching topics; collections (00-XX)
21 Information and communication theory, circuits (94-XX)
15 Manifolds and cell complexes (57-XX)
12 General topology (54-XX)
11 Mathematical logic and foundations (03-XX)
10 Associative rings and algebras (16-XX)
9 Field theory and polynomials (12-XX)
9 Commutative algebra (13-XX)
8 Geometry (51-XX)
6 Algebraic topology (55-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 \(K\)-theory (19-XX)
2 Sequences, series, summability (40-XX)
1
1
1 Mathematics education (97-XX)

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