Edit Profile (opens in new tab) Lax, Peter David Co-Author Distance Author ID: lax.peter-d Published as: Lax, Peter D.; Lax, P. D.; Lax, Peter; Lax, P. more...less External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Awards: Wolf Prize (1987) · Abel Prize (2005) Documents Indexed: 211 Publications since 1944, including 20 Books and 1 Additional arXiv Preprint 4 Contributions as Editor · 11 Further Contributions Biographic References: 17 Publications Co-Authors: 84 Co-Authors with 114 Joint Publications 3,596 Co-Co-Authors all top 5 Co-Authors 105 single-authored 45 Phillips, Ralph Saul 7 Levermore, C. David 6 Synge Morawetz, Cathleen 5 Harten, Ami 5 Nirenberg, Louis 4 Francsics, Gábor 4 Majda, Andrew J. 3 Courant, Richard 3 Friedrichs, Kurt Otto 3 Glimm, James G. 3 Jameson, Antony 3 Lax, Anneli 3 Liu, Xudong 3 Raußen, Martin 3 Sarnak, Peter Clive 3 Skau, Christian Fredrik 3 Wendroff, Burton 2 Atiyah, Michael Francis 2 Brézis, Haïm 2 Burstein, Samuel Z. 2 Carleson, Lennart 2 Chang, Sun-Yung Alice 2 Davis, Martin David 2 Jäger, Willi 2 LeVeque, Randall J. 2 Mac Lane, Leslie Saunders 2 Mazur, Barry 2 Peskin, Charles S. 2 Terrell, Maria Shea 2 Varadhan, S. R. Srinivasa 2 Zalcman, Lawrence Allen 1 Abbott, James C. 1 Adams, John Frank 1 Agmon, Shmuel 1 Anastasio, Sal 1 Arnol’d, Vladimir Igorevich 1 Bellman, Richard Ernest 1 Berestycki, Henri 1 Berg, Paul W. 1 Birindelli, Isabeau 1 Bliss, Gilbert Ames 1 Borel, Armand 1 Bradley, Robert E. 1 Caffarelli, Luis Ángel 1 Chang, Kung-Ching 1 Ching, Wai-Mee 1 Ciarlet, Philippe Gaston 1 Conlon, Lawrence 1 Constantin, Peter 1 Curtis, Edward B. 1 Davis, Philip J. 1 Guedes de Figueiredo, Djairo 1 Deligne, Pierre 1 Douglas, Ronald George 1 Edwards, Harold Mortimer jun. 1 Ekeland, Ivar 1 Falbel, Elisha 1 Fefferman, Charles Louis 1 Feit, Walter 1 Fisher, Joseph A. 1 Foiaș, Ciprian 1 Friedlander, Susan Jean 1 Fujita, Hiroshi 1 Garabedian, Cathy 1 Garabedian, Emily 1 Gindikin, Simon Grigorevich 1 Goodman, Jonathan B. 1 Gromov, Mikhael Leonidovich 1 Hale-La Salle 1 Hall, Carl Alan 1 Halmos, Paul Richard 1 Hardy, Godfrey Harold 1 Henkin, Leon Albert 1 Hersh, Reuben 1 Hildebrandt, Stefan 1 Hill, C. Denson 1 Hirzebruch, Friedrich 1 Hou, Thomas Yizhao 1 Huebschmann, Johannes 1 Hyman, James M. 1 Jackson, Dunham 1 Jaffe, Arthur Michael 1 Jones, Peter Wilcox 1 Kac, Mark 1 Kalman, Rudolf Emil 1 Kazdan, Jerry L. 1 Kazhdan, David 1 Keel, Markus 1 Khenkin, Gennadiĭ Markovich 1 Kinderlehrer, David 1 Klainerman, Sergiu 1 Kohn, Joseph J. 1 Kohn, Robert Vita 1 Kostant, Bertram 1 Lanczos, Cornelius 1 Leray, Jean 1 Levinson, Norman 1 Li, YanYan 1 Lin, Fang Hua 1 Magenes, Enrico ...and 54 more Co-Authors all top 5 Serials 53 Communications on Pure and Applied Mathematics 11 Notices of the American Mathematical Society 9 American Mathematical Monthly 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 SIAM Journal on Numerical Analysis 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 Journal of Scientific Computing 2 SIAM Journal on Applied Mathematics 2 Pure and Applied Mathematics (Academic Press) 2 Springer Collected Works in Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 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 European Mathematical Society Newsletter 1 Journal of Evolution Equations 1 Bonner Mathematische Schriften 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Mathematics Series. Texas Tech University 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 all top 5 Fields 86 Partial differential equations (35-XX) 35 History and biography (01-XX) 33 Numerical analysis (65-XX) 26 Operator theory (47-XX) 22 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 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Mathematics education (97-XX) 2 Group theory and generalizations (20-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 Commutative algebra (13-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) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 170 Publications have been cited 11,332 times in 9,316 Documents Cited by ▼ Year ▼ Hyperbolic systems of conservation laws. II. Zbl 0081.08803 Lax, Peter D. 1,133 1957 Integrals of nonlinear equations of evolution and solitary waves. Zbl 0162.41103 Lax, Peter D. 1,072 1968 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051 Harten, Amiram; Lax, Peter D.; van Leer, Bram 925 1983 Systems of conservation laws. Zbl 0152.44802 Lax, Peter D.; Wendroff, B. 599 1960 Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404 Lax, Peter D. 598 1954 Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062 Lax, Peter D. 549 1973 Functional analysis. Zbl 1009.47001 Lax, Peter D. 375 2002 Systems of conservation equations with a convex extension. Zbl 0229.35061 Friedrichs, K. O.; Lax, P. D. 283 1971 Development of singularities of solutions of nonlinear hyperbolic partial differential equations. Zbl 0135.15101 Lax, P. D. 278 1964 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060 Lax, Peter D.; Liu, Xu-Dong 254 1998 Survey of the stability of linear finite difference equations. Zbl 0072.08903 Lax, Peter D.; Richtmyer, R. D. 237 1956 Scattering theory for transport phenomena. Zbl 0214.12002 Lax, P. D.; Phillips, R. S. 222 1967 Proof of a conjecture of P. Erdős on the derivative of a polynomial. Zbl 0061.01802 Lax, Peter D. 220 1944 Local boundary conditions for dissipative symmetric linear differential operators. Zbl 0094.07502 Lax, Peter; Phillips, R. S. 193 1960 Scattering theory. Zbl 0186.16301 Lax, Peter D.; Phillips, Ralph S. 187 1967 Periodic solutions of the KdV equation. Zbl 0295.35004 Lax, Peter D. 185 1975 On a class of high resolution total-variational-stable finite-difference schemes (with appendix by Peter D. Lax). Zbl 0547.65062 Harten, Ami 184 1984 The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067 Lax, Peter D.; Levermore, C. David 170 1983 Shock waves and entropy. Zbl 0268.35014 Lax, Peter 165 1971 Decay of solutions of systems of nonlinear hyperbolic conservation laws. Zbl 0204.11304 Glimm, J.; Lax, Peter D. 160 1970 Difference schemes for hyperbolic equations with high order of accuracy. Zbl 0233.65050 Lax, Peter D.; Wendroff, Burton 155 1964 A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029 Constantin, P.; Lax, P. D.; Majda, A. 144 1985 Asymptotic solutions of oscillatory initial value problems. Zbl 0083.31801 Lax, Peter D. 139 1957 Scattering theory. Rev. ed. Zbl 0697.35004 Lax, Peter D.; Phillips, Ralph S. 133 1989 Parabolic equations. Zbl 0058.08703 Lax, P. D.; Milgram, A. N. 133 1954 On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070 Harten, Amiram; Hyman, J. M.; Lax, Peter D. 123 1976 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036 Lax, Peter D.; Phillips, Ralph S. 116 1982 Translation invariant spaces. Zbl 0085.09102 Lax, Peter D. 115 1959 Scattering theory for automorphic functions. Zbl 0362.10022 Lax, Peter D.; Phillips, Ralph S. 111 1976 Linear algebra and its applications. 2nd edition. Zbl 1152.15001 Lax, Peter D. 87 2007 Almost periodic solutions of the KdV equation. Zbl 0329.35015 Lax, Peter D. 84 1976 The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074 Lax, Peter D.; Levermode, C. David 81 1983 Hyperbolic partial differential equations. Zbl 1113.35002 Lax, Peter D. 80 2006 Nonlinear hyperbolic systems of conservation laws. Zbl 0108.28203 Lax, P. D. 74 1963 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. 73 1956 Differential equations, difference equations and matrix theory. Zbl 0086.01603 Lax, Peter D. 66 1958 On Cauchy’s problem for hyperbolic equations and the differentiability of solutions of elliptic equations. Zbl 0067.07502 Lax, Peter D. 59 1955 Scattering theory. Zbl 0117.09104 Lax, P. D.; Phillips, R. S. 59 1964 The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073 Lax, Peter D.; Levermode, C. David 57 1983 On stability for difference schemes; a sharp form of Garding’s inequality. Zbl 0185.22801 Lax, Peter D.; Nirenberg, Louis 56 1966 The formation and decay of shock waves. Zbl 0228.35019 Lax, Peter D. 56 1972 On matrices whose real linear combinations are nonsingular. Zbl 0168.02404 Adams, J. F.; Lax, P. D.; Phillips, R. S. 54 1966 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. 52 1963 Symmetrizable linear transformations. Zbl 0057.34402 Lax, Peter D. 48 1954 Nonlinear hyperbolic equations. Zbl 0050.31705 Lax, Peter D. 43 1953 Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069 Lax, P. D.; Phillips, R. S. 42 1973 Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036 Lax, P. D.; Phillips, R. S. 40 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. 40 1993 Decaying modes for the wave equation in the exterior of an obstacle. Zbl 0181.38201 Lax, Peter D.; Phillips, R. S. 38 1969 The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075 Mock, Michael S.; Lax, Peter D. 36 1978 A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038 Harten, Amiram; Lax, Peter D. 35 1981 Boundary value problems for first order operators. Zbl 0178.11403 Friedrichs, K. O.; Lax, P. D. 33 1965 Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089 Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J. 32 1998 On the stability of difference schemes. Zbl 0113.32301 Lax, Peter D.; Wendroff, B. 30 1962 The initial value problem for nonlinear hyperbolic equations in two independent variables. Zbl 0057.32502 Lax, P. D. 29 1954 On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients. Zbl 0102.11701 Lax, Peter D. 29 1961 Linear algebra. Zbl 0904.15001 Lax, Peter D. 29 1997 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. 29 1957 The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081 Lax, Peter D.; Levermore, C. David 26 1979 Dispersive approximations in fluid dynamics. Zbl 0729.76065 Hou, Thomas Y.; Lax, Peter D. 25 1991 On nonlinear partial differential equations with two independent variables. Zbl 0034.20103 Courant, Richard; Lax, Peter 24 1949 Periodic solutions of the KdV equations. Zbl 0297.35004 Lax, Peter D. 23 1974 On dispersive difference schemes. I. Zbl 0647.65062 Goodman, Jonathan; Lax, Peter D. 22 1988 On a degenerate elliptic-parabolic equation occuring in the theory of probability. Zbl 0206.11203 Brézis, Haïm; Rosenkrantz, W.; Singer, B. 21 1971 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024 Lax, Peter D.; Phillips, Ralph S. 21 1984 The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803 Lax, Peter D.; Phillips, R. S. 19 1970 A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002 Lax, P. D.; Phillips, R. S. 19 1971 The scattering of sound waves by an obstacle. Zbl 0335.35075 Lax, Peter D.; Phillips, Ralph S. 19 1977 Accuracy and resolution in the computation of solutions of linear and nonlinear equations. Zbl 0457.65068 Lax, Peter D. 19 1978 The multiplicity of eigenvalues. Zbl 0483.15006 Lax, Peter D. 19 1982 Trace formulas for the Schrödinger operator. Zbl 0802.34089 Lax, Peter D. 18 1994 The propagation of discontinuities in wave motion. Zbl 0072.30803 Courant, Richard; Lax, P. D. 18 1956 Decay of solutions of systems of hyperbolic conservation laws. Zbl 0146.33803 Glimm, J.; Lax, P. D. 17 1967 The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083 Lax, Peter D. 17 1991 Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065 Lax, Peter D.; Phillips, Ralph S. 17 1979 Stability of linear and nonlinear difference schemes. Zbl 0146.13701 Lax, P. D. 16 1966 Scattering theory for automorphic functions. Zbl 0442.10018 Lax, Peter D.; Phillips, Ralph S. 16 1980 On the discriminant of real symmetric matrices. Zbl 0933.15013 Lax, Peter D. 15 1998 The wave equation in exterior domains. Zbl 0103.06401 Lax, Peter D.; Phillips, Ralph S. 15 1962 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. 15 1962 Mathematics: frontiers and perspectives. Zbl 1047.00015 15 2000 On dispersive difference schemes. Zbl 0613.65127 Lax, Peter D. 15 1986 Scattering theory. Zbl 0225.35081 Lax, Peter D.; Phillips, Ralph S. 13 1971 Computational fluid dynamics at the Courant Institute. Zbl 0875.01005 Lax, Peter D. 13 1995 Hyperbolic systems of conservation laws in several space variables. Zbl 0631.35057 Lax, Peter D. 13 1986 Scattering theory. (Теория рассеяния. Translation from the English by N. K. Nikol’skiĭand B. S. Pavlov. Edited by M. Sh. Birman.) 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 A scattering theory for automorphic functions. Zbl 0297.35061 Lax, P. D.; Phillips, R. S. 12 1974 Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114 Liu, Xu-Dong; Lax, Peter D. 11 2003 On symmetrizable differential operators. Zbl 0184.36603 Friedrichs, K. O.; Lax, P. D. 11 1967 Approximation of measure preserving transformations. Zbl 0208.32202 Lax, P. D. 11 1971 The differentiability of Polya’s function. Zbl 0262.26007 Lax, Peter D. 11 1973 An example of Huygens’ principle. Zbl 0362.35052 Lax, Peter D.; Phillips, Ralph S. 11 1978 A Hamiltonian approach to the KdV and other equations. Zbl 0476.35066 Lax, Peter D. 11 1978 Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038 Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R. 10 2011 Change of variables in multiple integrals. Zbl 1007.26006 Lax, Peter D. 9 1999 Nonlinear partial differential equations and computing. Zbl 0182.22102 Lax, P. D. 9 1969 On sums of squares. Zbl 0371.15013 Lax, Anneli; Lax, Peter D. 9 1978 Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071 Jameson, A.; Lax, P. D. 9 1987 Gibbs phenomena. Zbl 1103.65095 Lax, Peter D. 9 2006 Multivariable calculus with applications. Zbl 1396.26002 Lax, Peter D.; Terrell, Maria Shea 3 2017 Calculus with applications. 2nd ed. Zbl 1292.26003 Lax, Peter D.; Terrell, Maria Shea 2 2014 Complex proofs of real theorems. Zbl 1243.30001 Lax, Peter D.; Zalcman, Lawrence 7 2012 Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038 Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R. 10 2011 Rethinking the Lebesgue integral. Zbl 1229.26019 Lax, Peter D. 1 2009 Mathematics and physics. Zbl 1157.00016 Lax, Peter D. 8 2008 Linear algebra and its applications. 2nd edition. Zbl 1152.15001 Lax, Peter D. 87 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 7 2007 Computational fluid dynamics. Zbl 1151.76555 Lax, Peter D. 2 2007 Hyperbolic partial differential equations. Zbl 1113.35002 Lax, Peter D. 80 2006 Gibbs phenomena. Zbl 1103.65095 Lax, Peter D. 9 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. 5 2005 Selected papers. Vols. I, II. Edited by Peter Sarnak and Andrew Majda. Zbl 1087.01018 Lax, Peter D. 2 2005 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327 Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark 3 2004 Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114 Liu, Xu-Dong; Lax, Peter D. 11 2003 Max Shiffman (1914–2000). Zbl 1047.01525 Lax, Peter D. 1 2003 Olga Arsen’evna Oleĭnik (1925–2001). Zbl 1159.01335 Jäger, Willi; Lax, Peter; Morawetz, Cathleen Synge 1 2003 Functional analysis. Zbl 1009.47001 Lax, Peter D. 375 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. 2 2001 Jacques-Louis Lions (1928–2001). Zbl 1128.01308 Lax, Peter D.; Magenes, Enrico; Temam, Roger 1 2001 Mathematics: frontiers and perspectives. Zbl 1047.00015 15 2000 Jean Leray (1906–1998). Zbl 0977.01032 Borel, Armand; Henkin, Gennadi M.; Lax, Peter D. 2 2000 Change of variables in multiple integrals. Zbl 1007.26006 Lax, Peter D. 9 1999 Otto Toeplitz. Zbl 1029.01020 Hildebrandt, Stefan; Lax, Peter D. 1 1999 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060 Lax, Peter D.; Liu, Xu-Dong 254 1998 Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089 Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J. 32 1998 On the discriminant of real symmetric matrices. Zbl 0933.15013 Lax, Peter D. 15 1998 Linear algebra. Zbl 0904.15001 Lax, Peter D. 29 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. 4 1996 Outline of a theory of the KdV equation. Zbl 0898.35089 Lax, Peter D. 1 1996 Computational fluid dynamics at the Courant Institute. Zbl 0875.01005 Lax, Peter D. 13 1995 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. 18 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. 40 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. 25 1991 The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083 Lax, Peter D. 17 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. 133 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. 8 1988 Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071 Jameson, A.; Lax, P. D. 9 1987 On symmetrizing hyperbolic differential equations. Zbl 0641.35040 Lax, Peter D. 2 1987 On dispersive difference schemes. Zbl 0613.65127 Lax, Peter D. 15 1986 Hyperbolic systems of conservation laws in several space variables. Zbl 0631.35057 Lax, Peter D. 13 1986 Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65070 Jameson, Antony; Lax, Peter D. 6 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. 144 1985 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033 Lax, Peter D.; Phillips, Ralph S. 9 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 On a class of high resolution total-variational-stable finite-difference schemes (with appendix by Peter D. Lax). Zbl 0547.65062 Harten, Ami 184 1984 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024 Lax, Peter D.; Phillips, Ralph S. 21 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 Shock waves, increase of entropy and loss of information. Zbl 0563.35047 Lax, Peter D. 2 1984 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051 Harten, Amiram; Lax, Peter D.; van Leer, Bram 925 1983 The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067 Lax, Peter D.; Levermore, C. David 170 1983 The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074 Lax, Peter D.; Levermode, C. David 81 1983 The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073 Lax, Peter D.; Levermode, C. David 57 1983 Nonlinear partial differential equations in applied science. Proceedings of the U.S. - Japan Seminar, Tokyo, 1982. Zbl 0515.00015 7 1983 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036 Lax, Peter D.; Phillips, Ralph S. 116 1982 The multiplicity of eigenvalues. Zbl 0483.15006 Lax, Peter D. 19 1982 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.52007 Lax, Peter D.; Phillips, Ralph S. 4 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 A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038 Harten, Amiram; Lax, Peter D. 35 1981 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0467.10037 Lax, Peter D.; Phillips, Ralph S. 5 1981 Translation representations for the solution of the non-euclidean wave equation. II. Zbl 0446.35004 Lax, Peter D.; Phillips, Ralph S. 4 1981 American mathematical heritage: algebra and applied mathematics. Zbl 0461.01001 3 1981 The translation representation theorem. Zbl 0481.47027 Lax, Peter D.; Phillips, Ralph S. 3 1981 Scattering theory for automorphic functions. Zbl 0442.10018 Lax, Peter D.; Phillips, Ralph S. 16 1980 On the notion of hyperbolicity. Zbl 0464.35059 Lax, Peter D. 8 1980 The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081 Lax, Peter D.; Levermore, C. David 26 1979 Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065 Lax, Peter D.; Phillips, Ralph S. 17 1979 The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075 Mock, Michael S.; Lax, Peter D. 36 1978 Accuracy and resolution in the computation of solutions of linear and nonlinear equations. Zbl 0457.65068 Lax, Peter D. 19 1978 An example of Huygens’ principle. Zbl 0362.35052 Lax, Peter D.; Phillips, Ralph S. 11 1978 A Hamiltonian approach to the KdV and other equations. Zbl 0476.35066 Lax, Peter D. 11 1978 On sums of squares. Zbl 0371.15013 Lax, Anneli; Lax, Peter D. 9 1978 The time delay operator and a related trace formula. Zbl 0463.47006 Lax, Peter D.; Phillips, Ralph S. 8 1978 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 4 1978 The scattering of sound waves by an obstacle. Zbl 0335.35075 Lax, Peter D.; Phillips, Ralph S. 19 1977 On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070 Harten, Amiram; Hyman, J. M.; Lax, Peter D. 123 1976 Scattering theory for automorphic functions. Zbl 0362.10022 Lax, Peter D.; Phillips, Ralph S. 111 1976 Almost periodic solutions of the KdV equation. Zbl 0329.35015 Lax, Peter D. 84 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 2 1976 Periodic solutions of the KdV equation. Zbl 0295.35004 Lax, Peter D. 185 1975 Almost periodic behavior of nonlinear waves. Zbl 0306.35066 Lax, Peter D. 4 1975 Periodic solutions of the KdV equations. Zbl 0297.35004 Lax, Peter D. 23 1974 A scattering theory for automorphic functions. Zbl 0297.35061 Lax, P. D.; Phillips, R. S. 12 1974 Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062 Lax, Peter D. 549 1973 Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069 Lax, P. D.; Phillips, R. S. 42 1973 The differentiability of Polya’s function. Zbl 0262.26007 Lax, Peter D. 11 1973 The formation and decay of shock waves. Zbl 0228.35019 Lax, Peter D. 56 1972 ...and 70 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,818 Authors 54 Chen, Gui-Qiang G. 51 Mir, Abdullah 51 Shu, Chi-Wang 43 Dumbser, Michael 39 Liu, Tai-Ping 35 Berthon, Christophe 35 Rauch, Jeffrey B. 34 LeFloch, Philippe Gerard 33 El, Gennady A. 33 Lax, Peter David 31 Ma, Wen-Xiu 30 Tadmor, Eitan 30 Toro, Eleuterio Francisco 27 Ostapenko, Vladimir Viktorovich 27 Phillips, Ralph Saul 24 Fokas, Athanassios S. 24 Fu, Lin 24 Li, Jiequan 23 Dafermos, Constantine 23 Khasanov, Aknazar Bekdurdievich 23 Petkov, Vesselin M. 23 Ruggeri, Tommaso 23 Smoller, Joel Alan 22 Chanam, Barchand 22 Kong, Dexing 22 Shearer, Michael 21 Shah, Wali Mohammad 20 Adams, Nikolaus A. 20 Allahverdiev, Bilender Paşaoğlu 20 Marchesin, Dan 20 Shao, Zhiqiang 20 Yang, Tong 19 Balsara, Dinshaw S. 19 Colombo, Rinaldo M. 19 Jørgensen, Palle E. T. 19 Osher, Stanley Joel 19 Qiu, Jianxian 19 Serre, Denis 19 Temple, Blake 19 Zhu, Changjiang 19 Zumbrun, Kevin R. 18 Chugaĭnova, Anna Pavlova 18 Guermond, Jean-Luc 18 Hoefer, Mark A. 18 Kulikovskiĭ, Andreĭ Gennad’evich 18 Liu, Hailiang 18 Métivier, Guy 18 Parés Madroñal, Carlos 18 Peng, Yuejun 18 Popov, Boyan 17 Ablowitz, Mark Jay 17 Chalons, Christophe 17 Chien, Mao-Ting 17 Li, Yachun 17 Majda, Andrew J. 17 Nakazato, Hiroshi 17 Rather, Nisar Ahmad 17 Sarnak, Peter Clive 17 Sekhar, T. Raja 16 Ding, Min 16 Frid, Hermano 16 Grava, Tamara 16 Ren, Yuxin 16 Saurel, Richard 16 Wazwaz, Abdul-Majid Abdul-Rahman 16 Zhang, Yongqian 15 Ancona, Fabio 15 Boscheri, Walter 15 Bressan, Alberto 15 Freistühler, Heinrich 15 Kawashima, Shuichi 15 Kurganov, Alexander 15 Llibre, Jaume 15 Nordström, Jan 15 Trakhinin, Yuri L. 15 Xin, Zhouping 14 Abgrall, Rémi 14 Coulombel, Jean-François 14 Gassner, Gregor J. 14 Govil, Narendra Kumar 14 Hong, John Meng-Kai 14 Kontorovich, Alex V. 14 Levermore, C. David 14 Liman, Abdul 14 Liu, Tiegang 14 Munz, Claus-Dieter 14 Palin, Vladimir Vladimirovich 14 Prykarpatsky, Anatoliy Karolevych 14 Sever, Michael 14 Tian, Shoufu 14 Wang, Dehua 14 Xiao, Feng 14 Xu, Kun 14 Zworski, Maciej 13 Aziz, Abdul 13 Bauer, Martin 13 Boillat, Guy 13 Currò, Carmela 13 Deng, Xiaogang 13 Dewan, Kum Kum ...and 9,718 more Authors all top 5 Cited in 742 Serials 801 Journal of Computational Physics 348 Journal of Mathematical Analysis and Applications 310 Journal of Differential Equations 248 Journal of Mathematical Physics 245 Computers and Fluids 213 Archive for Rational Mechanics and Analysis 192 Journal of Scientific Computing 160 Communications in Mathematical Physics 152 Physica D 127 Applied Mathematics and Computation 123 Transactions of the American Mathematical Society 119 Computer Methods in Applied Mechanics and Engineering 117 Journal of Functional Analysis 115 Communications in Partial Differential Equations 99 Mathematics of Computation 98 Computers & Mathematics with Applications 86 Journal of Computational and Applied Mathematics 86 Proceedings of the American Mathematical Society 85 Mathematical Methods in the Applied Sciences 82 Journal of Hyperbolic Differential Equations 73 Communications on Pure and Applied Mathematics 71 Applied Numerical Mathematics 71 Linear Algebra and its Applications 69 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 62 Studies in Applied Mathematics 60 Physics Letters. A 59 International Journal for Numerical Methods in Fluids 59 ZAMP. Zeitschrift für angewandte Mathematik und Physik 58 SIAM Journal on Mathematical Analysis 54 Journal of Fluid Mechanics 51 Nonlinearity 51 Advances in Mathematics 50 Numerische Mathematik 46 SIAM Journal on Scientific Computing 45 Duke Mathematical Journal 45 Communications in Computational Physics 44 Communications in Nonlinear Science and Numerical Simulation 43 Applicable Analysis 43 Wave Motion 43 Mathematische Annalen 41 Computer Physics Communications 41 Journal of Mathematical Sciences (New York) 40 Discrete and Continuous Dynamical Systems 39 Inventiones Mathematicae 39 Journal of Nonlinear Mathematical Physics 38 Quarterly of Applied Mathematics 37 Annales de l’Institut Fourier 33 Theoretical and Mathematical Physics 33 Chaos, Solitons and Fractals 33 SIAM Journal on Numerical Analysis 32 Applied Mathematics Letters 32 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 32 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 31 Journal of Statistical Physics 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 31 Nonlinear Analysis. Real World Applications 31 Bulletin of the American Mathematical Society 30 Letters in Mathematical Physics 30 Ukrainian Mathematical Journal 30 Journal of Geometry and Physics 30 Integral Equations and Operator Theory 30 Publications of the Research Institute for Mathematical Sciences, Kyoto University 30 Bulletin of the American Mathematical Society. New Series 29 Mathematics and Computers in Simulation 29 Acta Applicandae Mathematicae 29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 28 International Journal of Computational Fluid Dynamics 27 Functional Analysis and its Applications 27 Mathematische Zeitschrift 27 Numerical Methods for Partial Differential Equations 27 Nonlinear Analysis. Theory, Methods & Applications 26 Journal d’Analyse Mathématique 26 Journal of Soviet Mathematics 25 Siberian Mathematical Journal 25 Chinese Annals of Mathematics. Series B 25 Applied Mathematical Modelling 25 Journal of Nonlinear Science 25 Continuum Mechanics and Thermodynamics 24 Journal of Engineering Mathematics 23 Proceedings of the Japan Academy 21 Mathematical Notes 21 Annali di Matematica Pura ed Applicata. Serie Quarta 21 Communications on Applied Mathematics and Computation 20 Reports on Mathematical Physics 20 Acta Mathematica 20 SIAM Journal on Applied Mathematics 20 Journal of High Energy Physics 20 Complex Analysis and Operator Theory 19 Mathematische Nachrichten 19 Journal of Elasticity 19 Annales de l’Institut Henri Poincaré. Physique Théorique 19 Journal of Physics A: Mathematical and Theoretical 19 Advances in Applied Mathematics and Mechanics 18 Classical and Quantum Gravity 18 International Journal for Numerical Methods in Engineering 18 Chaos 18 Matematicheskoe Modelirovanie 18 Discrete and Continuous Dynamical Systems. Series B 17 Acta Mechanica ...and 642 more Serials all top 5 Cited in 61 Fields 5,190 Partial differential equations (35-XX) 2,941 Fluid mechanics (76-XX) 2,257 Numerical analysis (65-XX) 916 Dynamical systems and ergodic theory (37-XX) 663 Operator theory (47-XX) 425 Mechanics of deformable solids (74-XX) 367 Ordinary differential equations (34-XX) 335 Global analysis, analysis on manifolds (58-XX) 334 Quantum theory (81-XX) 321 Functions of a complex variable (30-XX) 290 Statistical mechanics, structure of matter (82-XX) 211 Functional analysis (46-XX) 200 Probability theory and stochastic processes (60-XX) 196 Optics, electromagnetic theory (78-XX) 174 Differential geometry (53-XX) 164 Linear and multilinear algebra; matrix theory (15-XX) 149 Relativity and gravitational theory (83-XX) 143 Number theory (11-XX) 137 Classical thermodynamics, heat transfer (80-XX) 131 Geophysics (86-XX) 119 Mechanics of particles and systems (70-XX) 118 Systems theory; control (93-XX) 112 Harmonic analysis on Euclidean spaces (42-XX) 108 Calculus of variations and optimal control; optimization (49-XX) 107 Biology and other natural sciences (92-XX) 91 Algebraic geometry (14-XX) 90 Computer science (68-XX) 88 Approximations and expansions (41-XX) 85 Real functions (26-XX) 85 Operations research, mathematical programming (90-XX) 82 Topological groups, Lie groups (22-XX) 68 Integral equations (45-XX) 61 Several complex variables and analytic spaces (32-XX) 58 Nonassociative rings and algebras (17-XX) 57 Statistics (62-XX) 55 Astronomy and astrophysics (85-XX) 52 Difference and functional equations (39-XX) 51 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Integral transforms, operational calculus (44-XX) 46 Special functions (33-XX) 45 History and biography (01-XX) 40 Group theory and generalizations (20-XX) 40 Convex and discrete geometry (52-XX) 39 Abstract harmonic analysis (43-XX) 37 Combinatorics (05-XX) 36 Measure and integration (28-XX) 33 Potential theory (31-XX) 31 General and overarching topics; collections (00-XX) 27 Information and communication theory, circuits (94-XX) 24 Manifolds and cell complexes (57-XX) 14 Associative rings and algebras (16-XX) 14 Geometry (51-XX) 14 General topology (54-XX) 12 Mathematical logic and foundations (03-XX) 12 Commutative algebra (13-XX) 11 Field theory and polynomials (12-XX) 10 Algebraic topology (55-XX) 5 Sequences, series, summability (40-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 \(K\)-theory (19-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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