Edit Profile (opens in new tab) Lax, Peter David Compute Distance To: Compute Author ID: lax.peter-d Published as: Lax, Peter D.; Lax, P. D.; Lax, Peter; Lax, P. 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: 83 Co-Authors with 113 Joint Publications 3,383 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 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, Martin David 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 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 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 A. 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 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 162 Publications have been cited 8,842 times in 7,225 Documents Cited by ▼ Year ▼ Hyperbolic systems of conservation laws. II. Zbl 0081.08803Lax, Peter D. 967 1957 Integrals of nonlinear equations of evolution and solitary waves. Zbl 0162.41103Lax, Peter D. 782 1968 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051Harten, Amiram; Lax, Peter D.; van Leer, Bram 693 1983 Systems of conservation laws. Zbl 0152.44802Lax, Peter D.; Wendroff, B. 460 1960 Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062Lax, Peter D. 413 1973 Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404Lax, Peter D. 402 1954 Systems of conservation equations with a convex extension. Zbl 0229.35061Friedrichs, K. O.; Lax, P. D. 234 1971 Development of singularities of solutions of nonlinear hyperbolic partial differential equations. Zbl 0135.15101Lax, P. D. 231 1964 Functional analysis. Zbl 1009.47001Lax, Peter D. 230 2002 Scattering theory for transport phenomena. Zbl 0214.12002Lax, P. D.; Phillips, R. S. 211 1967 Survey of the stability of linear finite difference equations. Zbl 0072.08903Lax, Peter D.; Richtmyer, R. D. 192 1956 Local boundary conditions for dissipative symmetric linear differential operators. Zbl 0094.07502Lax, Peter; Phillips, R. S. 176 1960 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060Lax, Peter D.; Liu, Xu-Dong 170 1998 Proof of a conjecture of P. Erdős on the derivative of a polynomial. Zbl 0061.01802Lax, Peter D. 149 1944 Difference schemes for hyperbolic equations with high order of accuracy. Zbl 0233.65050Lax, Peter D.; Wendroff, Burton 138 1964 The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067Lax, Peter D.; Levermore, C. David 135 1983 On a class of high resolution total-variational-stable finite-difference schemes (with appendix by Peter D. Lax). Zbl 0547.65062Harten, Ami 135 1984 Decay of solutions of systems of nonlinear hyperbolic conservation laws. Zbl 0204.11304Glimm, J.; Lax, Peter D. 127 1970 Periodic solutions of the KdV equation. Zbl 0295.35004Lax, Peter D. 122 1975 Asymptotic solutions of oscillatory initial value problems. Zbl 0083.31801Lax, Peter D. 119 1957 A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029Constantin, P.; Lax, P. D.; Majda, A. 111 1985 Scattering theory. Zbl 0186.16301Lax, Peter D.; Phillips, Ralph S. 108 1967 Scattering theory for automorphic functions. Zbl 0362.10022Lax, Peter D.; Phillips, Ralph S. 102 1976 Parabolic equations. Zbl 0058.08703Lax, P. D.; Milgram, A. N. 102 1954 On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070Harten, Amiram; Hyman, J. M.; Lax, Peter D. 96 1976 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036Lax, Peter D.; Phillips, Ralph S. 92 1982 Translation invariant spaces. Zbl 0085.09102Lax, Peter D. 91 1959 Nonlinear hyperbolic systems of conservation laws. Zbl 0108.28203Lax, P. D. 72 1963 Scattering theory. Rev. ed. Zbl 0697.35004Lax, Peter D.; Phillips, Ralph S. 71 1989 Shock waves and entropy. Zbl 0268.35014Lax, Peter 65 1971 Almost periodic solutions of the KdV equation. Zbl 0329.35015Lax, Peter D. 64 1976 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. 60 1956 The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074Lax, Peter D.; Levermode, C. David 57 1983 On Cauchy’s problem for hyperbolic equations and the differentiability of solutions of elliptic equations. Zbl 0067.07502Lax, Peter D. 56 1955 Scattering theory. Zbl 0117.09104Lax, P. D.; Phillips, R. S. 56 1964 Hyperbolic partial differential equations. Zbl 1113.35002Lax, Peter D. 56 2006 Differential equations, difference equations and matrix theory. Zbl 0086.01603Lax, Peter D. 55 1958 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. 49 1963 On stability for difference schemes; a sharp form of Garding’s inequality. Zbl 0185.22801Lax, Peter D.; Nirenberg, Louis 49 1966 The formation and decay of shock waves. Zbl 0228.35019Lax, Peter D. 46 1972 The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073Lax, Peter D.; Levermode, C. David 45 1983 Linear algebra and its applications. 2nd edition. Zbl 1152.15001Lax, Peter D. 45 2007 Symmetrizable linear transformations. Zbl 0057.34402Lax, Peter D. 43 1954 On matrices whose real linear combinations are nonsingular. Zbl 0168.02404Adams, J. F.; Lax, P. D.; Phillips, R. S. 39 1966 Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069Lax, P. D.; Phillips, R. S. 38 1973 Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036Lax, P. D.; Phillips, R. S. 38 1972 Nonlinear hyperbolic equations. Zbl 0050.31705Lax, Peter D. 35 1953 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. 35 1993 Decaying modes for the wave equation in the exterior of an obstacle. Zbl 0181.38201Lax, Peter D.; Phillips, R. S. 33 1969 Boundary value problems for first order operators. Zbl 0178.11403Friedrichs, K. O.; Lax, P. D. 32 1965 The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075Mock, Michael S.; Lax, Peter D. 31 1978 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 On the stability of difference schemes. Zbl 0113.32301Lax, Peter D.; Wendroff, B. 27 1962 The initial value problem for nonlinear hyperbolic equations in two independent variables. Zbl 0057.32502Lax, P. D. 26 1954 On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients. Zbl 0102.11701Lax, Peter D. 24 1961 A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038Harten, Amiram; Lax, Peter D. 24 1981 The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081Lax, Peter D.; Levermore, C. David 22 1979 Dispersive approximations in fluid dynamics. Zbl 0729.76065Hou, Thomas Y.; Lax, Peter D. 22 1991 On nonlinear partial differential equations with two independent variables. Zbl 0034.20103Courant, Richard; Lax, Peter 22 1949 On dispersive difference schemes. I. Zbl 0647.65062Goodman, Jonathan; Lax, Peter D. 21 1988 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024Lax, Peter D.; Phillips, Ralph S. 20 1984 The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803Lax, Peter D.; Phillips, R. S. 19 1970 Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J. 18 1998 The scattering of sound waves by an obstacle. Zbl 0335.35075Lax, Peter D.; Phillips, Ralph S. 17 1977 The multiplicity of eigenvalues. Zbl 0483.15006Lax, Peter D. 17 1982 Decay of solutions of systems of hyperbolic conservation laws. Zbl 0146.33803Glimm, J.; Lax, P. D. 17 1967 Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065Lax, Peter D.; Phillips, Ralph S. 16 1979 The propagation of discontinuities in wave motion. Zbl 0072.30803Courant, Richard; Lax, P. D. 16 1956 Stability of linear and nonlinear difference schemes. Zbl 0146.13701Lax, P. D. 16 1966 On a degenerate elliptic-parabolic equation occuring in the theory of probability. Zbl 0206.11203Brézis, Haïm; Rosenkrantz, W.; Singer, B. 16 1971 A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002Lax, P. D.; Phillips, R. S. 15 1971 Scattering theory for automorphic functions. Zbl 0442.10018Lax, Peter D.; Phillips, Ralph S. 15 1980 The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083Lax, Peter D. 14 1991 On the discriminant of real symmetric matrices. Zbl 0933.15013Lax, Peter D. 14 1998 The wave equation in exterior domains. Zbl 0103.06401Lax, Peter D.; Phillips, Ralph S. 14 1962 Linear algebra. Zbl 0904.15001Lax, Peter D. 14 1997 On dispersive difference schemes. Zbl 0613.65127Lax, Peter D. 13 1986 Trace formulas for the Schrödinger operator. Zbl 0802.34089Lax, Peter D. 13 1994 A scattering theory for automorphic functions. Zbl 0297.35061Lax, P. D.; Phillips, R. S. 12 1974 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. 12 1962 The acoustic equation with an indefinite energy form and the Schrödinger equation. Zbl 0186.16401Lax, P. D.; Phillips, R. S. 12 1967 Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802Lax, P. D.; Phillips, R. S. 12 1971 Scattering theory. Zbl 0225.35081Lax, Peter D.; Phillips, Ralph S. 11 1971 Mathematics: frontiers and perspectives. Zbl 1047.00015 10 2000 Approximation of measure preserving transformations. Zbl 0208.32202Lax, P. D. 10 1971 The differentiability of Polya’s function. Zbl 0262.26007Lax, Peter D. 10 1973 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 Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114Liu, Xu-Dong; Lax, Peter D. 9 2003 On symmetrizable differential operators. Zbl 0184.36603Friedrichs, K. O.; Lax, P. D. 9 1967 Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R. 9 2011 Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071Jameson, A.; Lax, P. D. 8 1987 Periodic solutions of the KdV equations. Zbl 0297.35004Lax, Peter D. 8 1974 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019Lax, Peter D.; Phillips, Ralph S. 8 1984 Change of variables in multiple integrals. Zbl 1007.26006Lax, Peter D. 8 1999 Reciprocal extremal problems in function theory. Zbl 0064.31301Lax, Peter D. 8 1955 Approximation of measure preserving transformations. Zbl 0205.35702Lax, P. D. 8 1971 Mathematics and physics. Zbl 1157.00016Lax, Peter D. 8 2008 On sums of squares. Zbl 0371.15013Lax, Anneli; Lax, Peter D. 7 1978 Hyperbolic difference equations: A review of the Courant-Friedrichs-Lewy paper in the light of recent developments. Zbl 0233.65051Lax, Peter D. 7 1967 Multivariable calculus with applications. Zbl 1396.26002Lax, Peter D.; Terrell, Maria Shea 1 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 5 2012 Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R. 9 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. 45 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 6 2007 Computational fluid dynamics. Zbl 1151.76555Lax, Peter D. 2 2007 Hyperbolic partial differential equations. Zbl 1113.35002Lax, Peter D. 56 2006 Gibbs phenomena. Zbl 1103.65095Lax, Peter D. 5 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. 3 2005 Selected papers. Vols. I, II. Edited by Peter Sarnak and Andrew Majda. Zbl 1087.01018Lax, Peter D. 1 2005 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark 1 2004 Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114Liu, Xu-Dong; Lax, Peter D. 9 2003 Functional analysis. Zbl 1009.47001Lax, Peter D. 230 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. 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. 8 1999 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060Lax, Peter D.; Liu, Xu-Dong 170 1998 Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J. 18 1998 On the discriminant of real symmetric matrices. Zbl 0933.15013Lax, Peter D. 14 1998 Linear algebra. Zbl 0904.15001Lax, Peter D. 14 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. 13 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. 35 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. 22 1991 The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083Lax, Peter D. 14 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. 71 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. 21 1988 Solution of a two-dimensional cochlea model with fluid viscosity. Zbl 0647.92011LeVeque, Randall J.; Peskin, Charles S.; Lax, Peter D. 6 1988 Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071Jameson, A.; Lax, P. D. 8 1987 On dispersive difference schemes. Zbl 0613.65127Lax, Peter D. 13 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. 111 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 135 1984 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024Lax, Peter D.; Phillips, Ralph S. 20 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 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051Harten, Amiram; Lax, Peter D.; van Leer, Bram 693 1983 The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067Lax, Peter D.; Levermore, C. David 135 1983 The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074Lax, Peter D.; Levermode, C. David 57 1983 The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073Lax, Peter D.; Levermode, C. David 45 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. 92 1982 The multiplicity of eigenvalues. Zbl 0483.15006Lax, Peter D. 17 1982 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.52007Lax, Peter D.; Phillips, Ralph S. 2 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. 24 1981 Translation representations for the solution of the non-euclidean wave equation. II. Zbl 0446.35004Lax, Peter D.; Phillips, Ralph S. 4 1981 The translation representation theorem. Zbl 0481.47027Lax, Peter D.; Phillips, Ralph S. 2 1981 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0467.10037Lax, Peter D.; Phillips, Ralph S. 1 1981 Scattering theory for automorphic functions. Zbl 0442.10018Lax, Peter D.; Phillips, Ralph S. 15 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 22 1979 Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065Lax, Peter D.; Phillips, Ralph S. 16 1979 The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075Mock, Michael S.; Lax, Peter D. 31 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. 7 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. 5 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 1 1978 The scattering of sound waves by an obstacle. Zbl 0335.35075Lax, Peter D.; Phillips, Ralph S. 17 1977 Scattering theory for automorphic functions. Zbl 0362.10022Lax, Peter D.; Phillips, Ralph S. 102 1976 On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070Harten, Amiram; Hyman, J. M.; Lax, Peter D. 96 1976 Almost periodic solutions of the KdV equation. Zbl 0329.35015Lax, Peter D. 64 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. 122 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. 8 1974 Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062Lax, Peter D. 413 1973 Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069Lax, P. D.; Phillips, R. S. 38 1973 The differentiability of Polya’s function. Zbl 0262.26007Lax, Peter D. 10 1973 The formation and decay of shock waves. Zbl 0228.35019Lax, Peter D. 46 1972 Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036Lax, P. D.; Phillips, R. S. 38 1972 On the scattering frequencies of the Laplace operator for exterior domains. Zbl 0226.35077Lax, Peter D.; Phillips, Ralph S. 5 1972 Systems of conservation equations with a convex extension. Zbl 0229.35061Friedrichs, K. O.; Lax, P. D. 234 1971 Shock waves and entropy. Zbl 0268.35014Lax, Peter 65 1971 On a degenerate elliptic-parabolic equation occuring in the theory of probability. Zbl 0206.11203Brézis, Haïm; Rosenkrantz, W.; Singer, B. 16 1971 A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002Lax, P. D.; Phillips, R. S. 15 1971 Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802Lax, P. D.; Phillips, R. S. 12 1971 Scattering theory. Zbl 0225.35081Lax, Peter D.; Phillips, Ralph S. 11 1971 ...and 62 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,550 Authors 44 Chen, Gui-Qiang G. 41 Shu, Chi-Wang 37 Liu, Tai-Ping 35 Mir, Abdullah 35 Rauch, Jeffrey B. 33 Lax, Peter David 33 LeFloch, Philippe Gerard 30 Dumbser, Michael 29 Berthon, Christophe 27 Phillips, Ralph Saul 27 Tadmor, Eitan 24 Toro, Eleuterio F. 23 Ma, Wen-Xiu 22 El, Gennady A. 21 Dafermos, Constantine M. 21 Fokas, Athanassios S. 21 Kong, Dexing 21 Petkov, Vesselin M. 21 Smoller, Joel Alan 20 Ruggeri, Tommaso 20 Shearer, Michael 20 Yang, Tong 19 Li, Jiequan 19 Serre, Denis 18 Balsara, Dinshaw S. 18 Marchesin, Dan 18 Métivier, Guy 17 Chien, Mao-Ting 17 Liu, Hailiang 17 Majda, Andrew J. 17 Nakazato, Hiroshi 17 Shao, Zhiqiang 17 Zhu, Changjiang 16 Chalons, Christophe 16 Kulikovskiĭ, Andreĭ Gennad’evich 16 Ostapenko, Vladimir Viktorovich 16 Parés Madroñal, Carlos 16 Sarnak, Peter Clive 15 Castro, Manuel J. 15 Colombo, Rinaldo M. 15 Jørgensen, Palle E. T. 15 Peng, Yuejun 15 Popov, Boyan 15 Qiu, Jianxian 15 Temple, Blake 15 Trakhinin, Yuri L. 15 Zumbrun, Kevin R. 14 Ding, Min 14 Freistühler, Heinrich 14 Frid, Hermano 14 Guermond, Jean-Luc 14 Osher, Stanley Joel 14 Saurel, Richard 14 Shah, Wali Mohammad 14 Wazwaz, Abdul-Majid Abdul-Rahman 14 Xin, Zhouping 13 Adams, Nikolaus A. 13 Allahverdiev, Bilender Paşaoğlu 13 Aziz, Abdul 13 Boillat, Guy 13 Coulombel, Jean-François 13 Dewan, Kum Kum 13 Grava, Tamara 13 Hoefer, Mark A. 13 Jeffrey, Alan P. 13 Kawashima, Shuichi 13 Levermore, C. David 13 Li, Yachun 13 Sever, Michael 13 Wang, Dehua 13 Xu, Kun 12 Ablowitz, Mark Jay 12 Ancona, Fabio 12 Bressan, Alberto 12 Chen, Geng 12 Coquel, Frédéric 12 Currò, Carmela 12 Hong, John Meng-Kai 12 Kurganov, Alexander 12 Palin, Vladimir Vladimirovich 12 Perla Menzala, Gustavo Alberto 12 Ren, Yuxin 12 Stoyanov, Luchezar N. 12 Zhang, Yongqian 12 Zworski, Maciej 11 DiPerna, Ronald J. 11 Li, Tatsien 11 Liman, Abdul 11 Llibre, Jaume 11 Prykarpatsky, Anatoliy Karolevych 11 Rather, Nisar Ahmad 11 Slemrod, Marshall 10 Bauer, Martin 10 Carpenter, Mark H. 10 Chen, Shuxing 10 Chugaĭnova, Anna Pavlova 10 Guès, Olivier 10 Joseph, Kayyunnapara Thomas 10 Keyfitz, Barbara Lee 10 Klein, Christian ...and 7,450 more Authors all top 5 Cited in 630 Serials 548 Journal of Computational Physics 312 Journal of Mathematical Analysis and Applications 283 Journal of Differential Equations 225 Journal of Mathematical Physics 204 Archive for Rational Mechanics and Analysis 203 Computers and Fluids 147 Communications in Mathematical Physics 142 Journal of Scientific Computing 115 Transactions of the American Mathematical Society 111 Communications in Partial Differential Equations 103 Applied Mathematics and Computation 103 Journal of Functional Analysis 96 Mathematics of Computation 95 Computer Methods in Applied Mechanics and Engineering 94 Physica D 81 Proceedings of the American Mathematical Society 79 Computers & Mathematics with Applications 71 Journal of Hyperbolic Differential Equations 69 Journal of Computational and Applied Mathematics 65 Linear Algebra and its Applications 60 Applied Numerical Mathematics 58 Communications on Pure and Applied Mathematics 56 Nonlinear Analysis. 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Physique Théorique 19 Journal of Nonlinear Science 18 Mathematical Notes 17 Acta Mechanica 17 Mathematics and Computers in Simulation 17 Applied Mathematical Modelling 17 Journal of Elasticity 16 Numerical Methods for Partial Differential Equations 16 Abstract and Applied Analysis 15 Israel Journal of Mathematics 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 Mathematical and Computer Modelling 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 Computational Mathematics and Mathematical Physics 14 SIAM Journal on Applied Mathematics 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Computational Mechanics 13 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 530 more Serials all top 5 Cited in 61 Fields 4,023 Partial differential equations (35-XX) 2,184 Fluid mechanics (76-XX) 1,627 Numerical analysis (65-XX) 647 Dynamical systems and ergodic theory (37-XX) 516 Operator theory (47-XX) 332 Mechanics of deformable solids (74-XX) 281 Ordinary differential equations (34-XX) 281 Global analysis, analysis on manifolds (58-XX) 249 Quantum theory (81-XX) 226 Functions of a complex variable (30-XX) 221 Statistical mechanics, structure of matter (82-XX) 158 Functional analysis (46-XX) 150 Differential geometry (53-XX) 144 Probability theory and stochastic processes (60-XX) 139 Optics, electromagnetic theory (78-XX) 130 Linear and multilinear algebra; matrix theory (15-XX) 121 Number theory (11-XX) 111 Relativity and gravitational theory (83-XX) 105 Classical thermodynamics, heat transfer (80-XX) 100 Geophysics (86-XX) 93 Systems theory; control (93-XX) 91 Mechanics of particles and systems (70-XX) 89 Harmonic analysis on Euclidean spaces (42-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 75 Biology and other natural sciences (92-XX) 70 Algebraic geometry (14-XX) 68 Approximations and expansions (41-XX) 66 Topological groups, Lie groups (22-XX) 60 Real functions (26-XX) 59 Operations research, mathematical programming (90-XX) 52 Integral equations (45-XX) 50 Computer science (68-XX) 48 Nonassociative rings and algebras (17-XX) 48 Several complex variables and analytic spaces (32-XX) 37 Difference and functional equations (39-XX) 37 Integral transforms, operational calculus (44-XX) 36 Astronomy and astrophysics (85-XX) 34 Special functions (33-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Abstract harmonic analysis (43-XX) 31 Statistics (62-XX) 30 History and biography (01-XX) 29 Potential theory (31-XX) 29 Convex and discrete geometry (52-XX) 28 Measure and integration (28-XX) 26 Group theory and generalizations (20-XX) 25 Combinatorics (05-XX) 23 General and overarching topics; collections (00-XX) 20 Information and communication theory, circuits (94-XX) 16 Manifolds and cell complexes (57-XX) 13 General topology (54-XX) 12 Associative rings and algebras (16-XX) 11 Mathematical logic and foundations (03-XX) 10 Commutative algebra (13-XX) 9 Field theory and polynomials (12-XX) 9 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 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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