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: 210 Publications since 1944, including 20 Books 4 Contributions as Editor · 11 Further Contributions Biographic References: 17 Publications Co-Authors: 84 Co-Authors with 113 Joint Publications 3,497 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 Majda, Andrew J. 3 Courant, Richard 3 Francsics, Gábor 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 René 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 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Mathematics education (97-XX) 2 Group theory and generalizations (20-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 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 164 Publications have been cited 9,734 times in 8,053 Documents Cited by ▼ Year ▼ Hyperbolic systems of conservation laws. II. Zbl 0081.08803Lax, Peter D. 1,035 1957 Integrals of nonlinear equations of evolution and solitary waves. Zbl 0162.41103Lax, Peter D. 889 1968 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051Harten, Amiram; Lax, Peter D.; van Leer, Bram 816 1983 Systems of conservation laws. Zbl 0152.44802Lax, Peter D.; Wendroff, B. 514 1960 Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404Lax, Peter D. 483 1954 Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062Lax, Peter D. 461 1973 Functional analysis. Zbl 1009.47001Lax, Peter D. 279 2002 Systems of conservation equations with a convex extension. Zbl 0229.35061Friedrichs, K. O.; Lax, P. D. 259 1971 Development of singularities of solutions of nonlinear hyperbolic partial differential equations. Zbl 0135.15101Lax, P. D. 256 1964 Scattering theory for transport phenomena. Zbl 0214.12002Lax, P. D.; Phillips, R. S. 221 1967 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060Lax, Peter D.; Liu, Xu-Dong 212 1998 Survey of the stability of linear finite difference equations. Zbl 0072.08903Lax, Peter D.; Richtmyer, R. D. 210 1956 Local boundary conditions for dissipative symmetric linear differential operators. Zbl 0094.07502Lax, Peter; Phillips, R. S. 186 1960 Proof of a conjecture of P. Erdős on the derivative of a polynomial. Zbl 0061.01802Lax, Peter D. 184 1944 The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067Lax, Peter D.; Levermore, C. David 153 1983 On a class of high resolution total-variational-stable finite-difference schemes (with appendix by Peter D. Lax). Zbl 0547.65062Harten, Ami 149 1984 Periodic solutions of the KdV equation. Zbl 0295.35004Lax, Peter D. 148 1975 Decay of solutions of systems of nonlinear hyperbolic conservation laws. Zbl 0204.11304Glimm, J.; Lax, Peter D. 143 1970 Difference schemes for hyperbolic equations with high order of accuracy. Zbl 0233.65050Lax, Peter D.; Wendroff, Burton 140 1964 Asymptotic solutions of oscillatory initial value problems. Zbl 0083.31801Lax, Peter D. 127 1957 A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029Constantin, P.; Lax, P. D.; Majda, A. 124 1985 Scattering theory. Zbl 0186.16301Lax, Peter D.; Phillips, Ralph S. 120 1967 Parabolic equations. Zbl 0058.08703Lax, P. D.; Milgram, A. N. 112 1954 On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070Harten, Amiram; Hyman, J. M.; Lax, Peter D. 106 1976 Scattering theory for automorphic functions. Zbl 0362.10022Lax, Peter D.; Phillips, Ralph S. 104 1976 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036Lax, Peter D.; Phillips, Ralph S. 104 1982 Translation invariant spaces. Zbl 0085.09102Lax, Peter D. 101 1959 Scattering theory. Rev. ed. Zbl 0697.35004Lax, Peter D.; Phillips, Ralph S. 96 1989 Shock waves and entropy. Zbl 0268.35014Lax, Peter 83 1971 Nonlinear hyperbolic systems of conservation laws. Zbl 0108.28203Lax, P. D. 72 1963 The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074Lax, Peter D.; Levermode, C. David 69 1983 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 0072.33004Lax, Peter D. 67 1956 Almost periodic solutions of the KdV equation. Zbl 0329.35015Lax, Peter D. 66 1976 Hyperbolic partial differential equations. Zbl 1113.35002Lax, Peter D. 63 2006 Linear algebra and its applications. 2nd edition. Zbl 1152.15001Lax, Peter D. 61 2007 Differential equations, difference equations and matrix theory. Zbl 0086.01603Lax, Peter D. 61 1958 Scattering theory. Zbl 0117.09104Lax, P. D.; Phillips, R. S. 58 1964 On Cauchy’s problem for hyperbolic equations and the differentiability of solutions of elliptic equations. Zbl 0067.07502Lax, Peter D. 56 1955 On stability for difference schemes; a sharp form of Garding’s inequality. Zbl 0185.22801Lax, Peter D.; Nirenberg, Louis 52 1966 Exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0161.08001Lax, Peter D.; Morawetz, C. S.; Phillips, R. S. 51 1963 On matrices whose real linear combinations are nonsingular. Zbl 0168.02404Adams, J. F.; Lax, P. D.; Phillips, R. S. 51 1966 The formation and decay of shock waves. Zbl 0228.35019Lax, Peter D. 51 1972 The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073Lax, Peter D.; Levermode, C. David 47 1983 Symmetrizable linear transformations. Zbl 0057.34402Lax, Peter D. 46 1954 Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069Lax, P. D.; Phillips, R. S. 41 1973 The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior. Zbl 0819.35122Lax, P. D.; Levermore, C. D.; Venakides, S. 40 1993 Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036Lax, P. D.; Phillips, R. S. 40 1972 Decaying modes for the wave equation in the exterior of an obstacle. Zbl 0181.38201Lax, Peter D.; Phillips, R. S. 35 1969 Nonlinear hyperbolic equations. Zbl 0050.31705Lax, Peter D. 35 1953 The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075Mock, Michael S.; Lax, Peter D. 33 1978 Boundary value problems for first order operators. Zbl 0178.11403Friedrichs, K. O.; Lax, P. D. 32 1965 On the stability of difference schemes. Zbl 0113.32301Lax, Peter D.; Wendroff, B. 29 1962 A Phragmén-Lindelöf theorem on harmonic analysis and its application to some questions in the theory of elliptic equations. Zbl 0077.31501Lax, Peter D. 28 1957 The initial value problem for nonlinear hyperbolic equations in two independent variables. Zbl 0057.32502Lax, P. D. 28 1954 On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients. Zbl 0102.11701Lax, Peter D. 27 1961 A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038Harten, Amiram; Lax, Peter D. 26 1981 Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J. 25 1998 The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081Lax, Peter D.; Levermore, C. David 24 1979 Dispersive approximations in fluid dynamics. Zbl 0729.76065Hou, Thomas Y.; Lax, Peter D. 24 1991 On nonlinear partial differential equations with two independent variables. Zbl 0034.20103Courant, Richard; Lax, Peter 23 1949 On dispersive difference schemes. I. Zbl 0647.65062Goodman, Jonathan; Lax, Peter D. 22 1988 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024Lax, Peter D.; Phillips, Ralph S. 21 1984 On a degenerate elliptic-parabolic equation occuring in the theory of probability. Zbl 0206.11203Brézis, Haïm; Rosenkrantz, W.; Singer, B. 20 1971 The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803Lax, Peter D.; Phillips, R. S. 19 1970 Linear algebra. Zbl 0904.15001Lax, Peter D. 19 1997 The scattering of sound waves by an obstacle. Zbl 0335.35075Lax, Peter D.; Phillips, Ralph S. 18 1977 The multiplicity of eigenvalues. Zbl 0483.15006Lax, Peter D. 18 1982 Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065Lax, Peter D.; Phillips, Ralph S. 17 1979 Decay of solutions of systems of hyperbolic conservation laws. Zbl 0146.33803Glimm, J.; Lax, P. D. 17 1967 A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002Lax, P. D.; Phillips, R. S. 17 1971 On dispersive difference schemes. Zbl 0613.65127Lax, Peter D. 16 1986 Scattering theory for automorphic functions. Zbl 0442.10018Lax, Peter D.; Phillips, Ralph S. 16 1980 Stability of linear and nonlinear difference schemes. Zbl 0146.13701Lax, P. D. 16 1966 The propagation of discontinuities in wave motion. Zbl 0072.30803Courant, Richard; Lax, P. D. 16 1956 On the discriminant of real symmetric matrices. Zbl 0933.15013Lax, Peter D. 15 1998 The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083Lax, Peter D. 15 1991 Trace formulas for the Schrödinger operator. Zbl 0802.34089Lax, Peter D. 14 1994 The wave equation in exterior domains. Zbl 0103.06401Lax, Peter D.; Phillips, Ralph S. 14 1962 The exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0108.28301Lax, P. D.; Morawetz, C. S.; Phillips, R. S. 13 1962 Scattering theory. Zbl 0225.35081Lax, Peter D.; Phillips, Ralph S. 13 1971 A scattering theory for automorphic functions. Zbl 0297.35061Lax, P. D.; Phillips, R. S. 12 1974 The acoustic equation with an indefinite energy form and the Schrödinger equation. Zbl 0186.16401Lax, P. D.; Phillips, R. S. 12 1967 Scattering theory. (Теория рассеяния. Translation from the English by N. K. Nikol’skiĭand B. S. Pavlov. Edited by M. Sh. Birman.) Zbl 0212.43802Lax, P. D.; Phillips, R. S. 12 1971 The differentiability of Polya’s function. Zbl 0262.26007Lax, Peter D. 11 1973 Mathematics: frontiers and perspectives. Zbl 1047.00015 10 2000 Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114Liu, Xu-Dong; Lax, Peter D. 10 2003 Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R. 10 2011 Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071Jameson, A.; Lax, P. D. 9 1987 Periodic solutions of the KdV equations. Zbl 0297.35004Lax, Peter D. 9 1974 An example of Huygens’ principle. Zbl 0362.35052Lax, Peter D.; Phillips, Ralph S. 9 1978 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033Lax, Peter D.; Phillips, Ralph S. 9 1985 Approximation of measure preserving transformations. Zbl 0208.32202Lax, P. D. 9 1971 Change of variables in multiple integrals. Zbl 1007.26006Lax, Peter D. 9 1999 On sums of squares. Zbl 0371.15013Lax, Anneli; Lax, Peter D. 8 1978 Mathematics and physics. Zbl 1157.00016Lax, Peter D. 8 2008 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019Lax, Peter D.; Phillips, Ralph S. 8 1984 On symmetrizable differential operators. Zbl 0184.36603Friedrichs, K. O.; Lax, P. D. 8 1967 Approximation of measure preserving transformations. Zbl 0205.35702Lax, P. D. 8 1971 Reciprocal extremal problems in function theory. Zbl 0064.31301Lax, Peter D. 8 1955 Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 7 1988 Multivariable calculus with applications. Zbl 1396.26002Lax, Peter D.; Terrell, Maria Shea 3 2017 Calculus with applications. 2nd ed. Zbl 1292.26003Lax, Peter D.; Terrell, Maria Shea 1 2014 Complex proofs of real theorems. Zbl 1243.30001Lax, Peter D.; Zalcman, Lawrence 6 2012 Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R. 10 2011 Rethinking the Lebesgue integral. Zbl 1229.26019Lax, Peter D. 1 2009 Mathematics and physics. Zbl 1157.00016Lax, Peter D. 8 2008 Linear algebra and its applications. 2nd edition. Zbl 1152.15001Lax, Peter D. 61 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 1151.76555Lax, Peter D. 2 2007 Hyperbolic partial differential equations. Zbl 1113.35002Lax, Peter D. 63 2006 Gibbs phenomena. Zbl 1103.65095Lax, Peter D. 7 2006 Analysis of a Picard modular group. Zbl 1206.11048Francsics, Gábor; Lax, Peter D. 3 2006 A semi-explicit fundamental domain for a Picard modular group in complex hyperbolic space. Zbl 1065.22007Francsics, Gábor; Lax, Peter D. 5 2005 Selected papers. Vols. I, II. Edited by Peter Sarnak and Andrew Majda. Zbl 1087.01018Lax, Peter D. 2 2005 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327Friedlander, 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 1027.65114Liu, Xu-Dong; Lax, Peter D. 10 2003 Functional analysis. Zbl 1009.47001Lax, Peter D. 279 2002 The Radon transform and translation representation. Zbl 1002.35005Lax, Peter D. 5 2001 Change of variables in multiple integrals. II. Zbl 1007.26007Lax, Peter D. 2 2001 Jacques-Louis Lions (1928–2001). Zbl 1128.01308Lax, Peter D.; Magenes, Enrico; Temam, Roger 1 2001 Mathematics: frontiers and perspectives. Zbl 1047.00015 10 2000 Jean Leray (1906–1998). Zbl 0977.01032Borel, Armand; Henkin, Gennadi M.; Lax, Peter D. 1 2000 Change of variables in multiple integrals. Zbl 1007.26006Lax, Peter D. 9 1999 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060Lax, Peter D.; Liu, Xu-Dong 212 1998 Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J. 25 1998 On the discriminant of real symmetric matrices. Zbl 0933.15013Lax, Peter D. 15 1998 Linear algebra. Zbl 0904.15001Lax, Peter D. 19 1997 Introduction to “High resolution schemes for hyperbolic conservation laws”. Zbl 0890.65095Lax, Peter 1 1997 Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. Zbl 0874.35071Liu, Xu-Dong; Lax, Peter D. 4 1996 Outline of a theory of the KdV equation. Zbl 0898.35089Lax, Peter D. 1 1996 A short path to the shortest path. Zbl 0859.26009Lax, Peter D. 2 1995 Trace formulas for the Schrödinger operator. Zbl 0802.34089Lax, Peter D. 14 1994 The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior. Zbl 0819.35122Lax, P. D.; Levermore, C. D.; Venakides, S. 40 1993 The existence of eigenvalues of integral operators. Zbl 0817.47070Lax, Peter D. 1 1993 Translation representation for automorphic solutions of the wave equation in non-Euclidean spaces. IV. Zbl 0796.35093Lax, Peter D.; Phillips, Ralph S. 3 1992 Dispersive approximations in fluid dynamics. Zbl 0729.76065Hou, Thomas Y.; Lax, Peter D. 24 1991 The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083Lax, Peter D. 15 1991 Deterministic theories of turbulence. Zbl 0727.76063Lax, P. D. 1 1991 The ergodic character of sequences of pedal triangles. Zbl 0729.28011Lax, Peter D. 6 1990 Scattering theory. Rev. ed. Zbl 0697.35004Lax, Peter D.; Phillips, Ralph S. 96 1989 The flowering of applied mathematics in America. Zbl 0687.01010Lax, Peter D. 3 1989 On dispersive difference schemes. I. Zbl 0647.65062Goodman, Jonathan; Lax, Peter D. 22 1988 Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 7 1988 Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071Jameson, A.; Lax, P. D. 9 1987 On dispersive difference schemes. Zbl 0613.65127Lax, Peter D. 16 1986 Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65070Jameson, Antony; Lax, Peter D. 6 1986 Hyperbolic systems of conservation laws in several space variables. Zbl 0631.35057Lax, Peter D. 2 1986 Mathematics and computing. Zbl 0628.00019Lax, Peter D. 1 1986 A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029Constantin, P.; Lax, P. D.; Majda, A. 124 1985 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033Lax, Peter D.; Phillips, Ralph S. 9 1985 Solution of a two-dimensional cochlea model using transform techniques. Zbl 0576.76130LeVeque, 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 0576.30037Lax, 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 0547.65062Harten, Ami 149 1984 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024Lax, Peter D.; Phillips, Ralph S. 21 1984 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019Lax, Peter D.; Phillips, Ralph S. 8 1984 Shock waves, increase of entropy and loss of information. Zbl 0563.35047Lax, Peter D. 1 1984 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051Harten, Amiram; Lax, Peter D.; van Leer, Bram 816 1983 The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067Lax, Peter D.; Levermore, C. David 153 1983 The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074Lax, Peter D.; Levermode, C. David 69 1983 The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073Lax, Peter D.; Levermode, C. David 47 1983 Nonlinear partial differential equations in applied science. Proceedings of the U.S. - Japan Seminar, Tokyo, 1982. Zbl 0515.00015 1 1983 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036Lax, Peter D.; Phillips, Ralph S. 104 1982 The multiplicity of eigenvalues. Zbl 0483.15006Lax, Peter D. 18 1982 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.52007Lax, 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 0511.58037Lax, Peter D.; Phillips, Ralph S. 2 1982 A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038Harten, Amiram; Lax, Peter D. 26 1981 Translation representations for the solution of the non-euclidean wave equation. II. Zbl 0446.35004Lax, Peter D.; Phillips, Ralph S. 4 1981 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0467.10037Lax, Peter D.; Phillips, Ralph S. 4 1981 The translation representation theorem. Zbl 0481.47027Lax, Peter D.; Phillips, Ralph S. 2 1981 Scattering theory for automorphic functions. Zbl 0442.10018Lax, Peter D.; Phillips, Ralph S. 16 1980 On the notion of hyperbolicity. Zbl 0464.35059Lax, Peter D. 4 1980 The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081Lax, Peter D.; Levermore, C. David 24 1979 Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065Lax, Peter D.; Phillips, Ralph S. 17 1979 The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075Mock, Michael S.; Lax, Peter D. 33 1978 An example of Huygens’ principle. Zbl 0362.35052Lax, Peter D.; Phillips, Ralph S. 9 1978 On sums of squares. Zbl 0371.15013Lax, Anneli; Lax, Peter D. 8 1978 The time delay operator and a related trace formula. Zbl 0463.47006Lax, Peter D.; Phillips, Ralph S. 7 1978 Accuracy and resolution in the computation of solutions of linear and nonlinear equations. Zbl 0457.65068Lax, Peter D. 6 1978 A Hamiltonian approach to the KdV and other equations. Zbl 0476.35066Lax, Peter D. 4 1978 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 2 1978 The scattering of sound waves by an obstacle. Zbl 0335.35075Lax, Peter D.; Phillips, Ralph S. 18 1977 On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070Harten, Amiram; Hyman, J. M.; Lax, Peter D. 106 1976 Scattering theory for automorphic functions. Zbl 0362.10022Lax, Peter D.; Phillips, Ralph S. 104 1976 Almost periodic solutions of the KdV equation. Zbl 0329.35015Lax, Peter D. 66 1976 On the factorization of matrix valued functions. Zbl 0326.47033Lax, Peter D. 2 1976 Calculus with applications and computing. Vol. I. Zbl 0348.26003Lax, Peter; Burstein, Samuel; Lax, Anneli 1 1976 Periodic solutions of the KdV equation. Zbl 0295.35004Lax, Peter D. 148 1975 Almost periodic behavior of nonlinear waves. Zbl 0306.35066Lax, Peter D. 4 1975 A scattering theory for automorphic functions. Zbl 0297.35061Lax, P. D.; Phillips, R. S. 12 1974 Periodic solutions of the KdV equations. Zbl 0297.35004Lax, Peter D. 9 1974 Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062Lax, Peter D. 461 1973 Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069Lax, P. D.; Phillips, R. S. 41 1973 The differentiability of Polya’s function. Zbl 0262.26007Lax, Peter D. 11 1973 The formation and decay of shock waves. Zbl 0228.35019Lax, Peter D. 51 1972 Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036Lax, P. D.; Phillips, R. S. 40 1972 On the scattering frequencies of the Laplace operator for exterior domains. Zbl 0226.35077Lax, Peter D.; Phillips, Ralph S. 6 1972 Systems of conservation equations with a convex extension. Zbl 0229.35061Friedrichs, K. O.; Lax, P. D. 259 1971 Shock waves and entropy. Zbl 0268.35014Lax, Peter 83 1971 On a degenerate elliptic-parabolic equation occuring in the theory of probability. Zbl 0206.11203Brézis, Haïm; Rosenkrantz, W.; Singer, B. 20 1971 A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002Lax, P. D.; Phillips, R. S. 17 1971 ...and 64 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,509 Authors 48 Chen, Gui-Qiang G. 45 Mir, Abdullah 43 Shu, Chi-Wang 39 Liu, Tai-Ping 38 Dumbser, Michael 35 Rauch, Jeffrey B. 34 Berthon, Christophe 34 LeFloch, Philippe Gerard 33 Lax, Peter David 29 Tadmor, Eitan 27 Phillips, Ralph Saul 27 Toro, Eleuterio Francisco 26 Ma, Wen-Xiu 24 El, Gennady A. 24 Ostapenko, Vladimir Viktorovich 23 Petkov, Vesselin M. 22 Dafermos, Constantine 21 Fokas, Athanassios S. 21 Kong, Dexing 21 Li, Jiequan 21 Ruggeri, Tommaso 21 Smoller, Joel Alan 20 Shearer, Michael 20 Yang, Tong 19 Balsara, Dinshaw S. 19 Chalons, Christophe 19 Marchesin, Dan 19 Serre, Denis 19 Shah, Wali Mohammad 19 Shao, Zhiqiang 19 Temple, Blake 18 Jørgensen, Palle E. T. 18 Liu, Hailiang 18 Métivier, Guy 17 Chien, Mao-Ting 17 Colombo, Rinaldo M. 17 Kulikovskiĭ, Andreĭ Gennad’evich 17 Majda, Andrew J. 17 Nakazato, Hiroshi 17 Parés Madroñal, Carlos 17 Zhu, Changjiang 16 Adams, Nikolaus A. 16 Guermond, Jean-Luc 16 Osher, Stanley Joel 16 Peng, Yuejun 16 Popov, Boyan 16 Qiu, Jianxian 16 Sarnak, Peter Clive 16 Saurel, Richard 15 Castro, Manuel J. 15 Grava, Tamara 15 Kurganov, Alexander 15 Ren, Yuxin 15 Trakhinin, Yuri L. 15 Wazwaz, Abdul-Majid Abdul-Rahman 15 Xin, Zhouping 15 Zhang, Yongqian 15 Zumbrun, Kevin R. 14 Ablowitz, Mark Jay 14 Allahverdiev, Bilender Paşaoğlu 14 Ancona, Fabio 14 Bressan, Alberto 14 Chen, Geng 14 Chugaĭnova, Anna Pavlova 14 Coulombel, Jean-François 14 Ding, Min 14 Freistühler, Heinrich 14 Frid, Hermano 14 Fu, Lin 14 Kawashima, Shuichi 14 Khasanov, Aknazar Bekdurdievich 14 Wang, Dehua 13 Aziz, Abdul 13 Boillat, Guy 13 Coquel, Frédéric 13 Currò, Carmela 13 Dewan, Kum Kum 13 Hoefer, Mark A. 13 Hong, John Meng-Kai 13 Jeffrey, Alan P. 13 Levermore, C. David 13 Li, Yachun 13 Liman, Abdul 13 Liu, Tiegang 13 Palin, Vladimir Vladimirovich 13 Rather, Nisar Ahmad 13 Sever, Michael 13 Stoyanov, Luchezar N. 13 Xiao, Feng 13 Xu, Kun 12 Abgrall, Rémi 12 Bauer, Martin 12 Chanam, Barchand 12 Hu, Xiangyu Y. 12 Joseph, Kayyunnapara Thomas 12 Llibre, Jaume 12 Munz, Claus-Dieter 12 Nordström, Jan 12 Perla Menzala, Gustavo Alberto 12 Prykarpatsky, Anatoliy Karolevych ...and 8,409 more Authors all top 5 Cited in 676 Serials 634 Journal of Computational Physics 323 Journal of Mathematical Analysis and Applications 298 Journal of Differential Equations 235 Computers and Fluids 233 Journal of Mathematical Physics 207 Archive for Rational Mechanics and Analysis 168 Journal of Scientific Computing 155 Communications in Mathematical Physics 120 Transactions of the American Mathematical Society 117 Applied Mathematics and Computation 113 Communications in Partial Differential Equations 109 Physica D 107 Journal of Functional Analysis 101 Computer Methods in Applied Mechanics and Engineering 97 Mathematics of Computation 89 Computers & Mathematics with Applications 84 Proceedings of the American Mathematical Society 78 Journal of Computational and Applied Mathematics 78 Journal of Hyperbolic Differential Equations 68 Linear Algebra and its Applications 64 Applied Numerical Mathematics 62 Communications on Pure and Applied Mathematics 60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 53 ZAMP. Zeitschrift für angewandte Mathematik und Physik 51 Journal of Fluid Mechanics 51 SIAM Journal on Mathematical Analysis 50 Mathematical Methods in the Applied Sciences 49 Numerische Mathematik 44 Duke Mathematical Journal 43 Advances in Mathematics 42 International Journal for Numerical Methods in Fluids 42 SIAM Journal on Scientific Computing 40 Applicable Analysis 40 Mathematische Annalen 39 Wave Motion 37 Discrete and Continuous Dynamical Systems 37 Communications in Nonlinear Science and Numerical Simulation 37 Communications in Computational Physics 36 Annales de l’Institut Fourier 36 Inventiones Mathematicae 36 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 36 Journal of Mathematical Sciences (New York) 35 Studies in Applied Mathematics 34 Nonlinearity 33 Quarterly of Applied Mathematics 32 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 31 Theoretical and Mathematical Physics 31 Bulletin of the American Mathematical Society 30 Journal of Statistical Physics 30 Publications of the Research Institute for Mathematical Sciences, Kyoto University 29 Ukrainian Mathematical Journal 29 Journal de Mathématiques Pures et Appliquées. Neuvième Série 29 Journal of Nonlinear Mathematical Physics 28 SIAM Journal on Numerical Analysis 28 Acta Applicandae Mathematicae 28 Bulletin of the American Mathematical Society. New Series 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 Letters in Mathematical Physics 27 Chaos, Solitons and Fractals 27 Journal of Geometry and Physics 27 Integral Equations and Operator Theory 27 Applied Mathematics Letters 26 Journal of Soviet Mathematics 25 Functional Analysis and its Applications 25 Mathematische Zeitschrift 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 International Journal of Computational Fluid Dynamics 25 Nonlinear Analysis. Real World Applications 25 Nonlinear Analysis. Theory, Methods & Applications 24 Journal d’Analyse Mathématique 24 Journal of Nonlinear Science 24 Continuum Mechanics and Thermodynamics 23 Siberian Mathematical Journal 23 Proceedings of the Japan Academy 22 Journal of Engineering Mathematics 22 Chinese Annals of Mathematics. Series B 21 Mathematics and Computers in Simulation 21 Applied Mathematical Modelling 20 Acta Mathematica 19 Mathematical Notes 19 Annales de l’Institut Henri Poincaré. Physique Théorique 18 Journal of Elasticity 18 Journal of High Energy Physics 17 Acta Mechanica 17 Israel Journal of Mathematics 17 Physics Letters. A 17 Numerical Methods for Partial Differential Equations 17 Journal of Physics A: Mathematical and Theoretical 16 Computer Physics Communications 16 Computational Mathematics and Mathematical Physics 16 Abstract and Applied Analysis 15 Journal of Applied Mathematics and Mechanics 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 15 Journal of the American Mathematical Society 15 Mathematical and Computer Modelling 15 Japan Journal of Industrial and Applied Mathematics 15 SIAM Journal on Applied Mathematics 15 Advances in Computational Mathematics 14 Proceedings of the Japan Academy. Series A ...and 576 more Serials all top 5 Cited in 61 Fields 4,508 Partial differential equations (35-XX) 2,521 Fluid mechanics (76-XX) 1,933 Numerical analysis (65-XX) 750 Dynamical systems and ergodic theory (37-XX) 567 Operator theory (47-XX) 370 Mechanics of deformable solids (74-XX) 305 Global analysis, analysis on manifolds (58-XX) 302 Ordinary differential equations (34-XX) 273 Functions of a complex variable (30-XX) 268 Quantum theory (81-XX) 253 Statistical mechanics, structure of matter (82-XX) 177 Functional analysis (46-XX) 161 Differential geometry (53-XX) 161 Probability theory and stochastic processes (60-XX) 159 Optics, electromagnetic theory (78-XX) 151 Linear and multilinear algebra; matrix theory (15-XX) 132 Number theory (11-XX) 127 Relativity and gravitational theory (83-XX) 119 Classical thermodynamics, heat transfer (80-XX) 119 Geophysics (86-XX) 103 Systems theory; control (93-XX) 102 Mechanics of particles and systems (70-XX) 101 Harmonic analysis on Euclidean spaces (42-XX) 93 Calculus of variations and optimal control; optimization (49-XX) 86 Biology and other natural sciences (92-XX) 84 Algebraic geometry (14-XX) 76 Approximations and expansions (41-XX) 74 Operations research, mathematical programming (90-XX) 72 Topological groups, Lie groups (22-XX) 70 Real functions (26-XX) 64 Computer science (68-XX) 61 Integral equations (45-XX) 52 Nonassociative rings and algebras (17-XX) 52 Several complex variables and analytic spaces (32-XX) 43 Integral transforms, operational calculus (44-XX) 41 Difference and functional equations (39-XX) 41 Statistics (62-XX) 40 History and biography (01-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Astronomy and astrophysics (85-XX) 38 Special functions (33-XX) 34 Group theory and generalizations (20-XX) 34 Abstract harmonic analysis (43-XX) 34 Convex and discrete geometry (52-XX) 32 Measure and integration (28-XX) 28 Potential theory (31-XX) 27 Combinatorics (05-XX) 25 General and overarching topics; collections (00-XX) 22 Information and communication theory, circuits (94-XX) 18 Manifolds and cell complexes (57-XX) 13 General topology (54-XX) 12 Mathematical logic and foundations (03-XX) 12 Associative rings and algebras (16-XX) 11 Commutative algebra (13-XX) 11 Geometry (51-XX) 9 Field theory and polynomials (12-XX) 8 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. Updates and corrections should be made in Wikidata.