Edit Profile Lax, Peter David Compute Distance To: Compute Author ID: lax.peter-d Published as: Lax, P.; Lax, P. D.; Lax, Peter; Lax, Peter D. External Links: MGP · Wikidata · dblp · GND · MacTutor Awards: Wolf Prize (1987) · Abel Prize (2005) Documents Indexed: 214 Publications since 1944, including 24 Books Biographic References: 17 Publications all top 5 Co-Authors 108 single-authored 45 Phillips, Ralph Saul 7 Levermore, C. David 5 Synge Morawetz, Cathleen 4 Harten, Ami 4 Nirenberg, Louis 3 Courant, Richard 3 Francsics, Gábor 3 Friedrichs, Kurt Otto 3 Glimm, James G. 3 Jameson, Antony 3 Lax, Anneli 3 Liu, Xudong 3 Wendroff, Burton 2 Burstein, Samuel Z. 2 Jäger, Willi 2 LeVeque, Randall J. 2 Mazur, Barry 2 Peskin, Charles S. 2 Terrell, Maria Shea 1 Adams, John Frank 1 Anastasio, Sal 1 Arnol’d, Vladimir Igorevich 1 Atiyah, Michael Francis 1 Berg, Paul W. 1 Borel, Armand 1 Carleson, Lennart 1 Chang, Sun-Yung Alice 1 Ching, Wai-Mee 1 Ciarlet, Philippe Gaston 1 Conlon, Lawrence 1 Constantin, Peter 1 Curtis, Edward B. 1 Davis, Martin David 1 Douglas, Ronald George 1 Edwards, Harold Mortimer jun. 1 Falbel, Elisha 1 Fisher, Joseph A. 1 Foiaş, Ciprian Ilie 1 Friedlander, Susan Jean 1 Fujita, Hiroshi 1 Garabedian, Cathy 1 Garabedian, Emily 1 Gindikin, Simon Grigorevich 1 Goodman, Jonathan B. 1 Hildebrandt, Stefan 1 Hill, C. Denson 1 Hirzebruch, Friedrich 1 Hou, Thomas Yizhao 1 Huebschmann, Johannes 1 Hyman, James M. 1 Jones, Peter Wilcox 1 Kazdan, Jerry L. 1 Kazhdan, David A. 1 Keel, Markus 1 Khenkin, Gennadiĭ Markovich 1 Kostant, Bertram 1 Magenes, Enrico 1 Majda, Andrew J. 1 Milgram, Arthur Norton 1 Mock, Michael S. 1 Morokoff, William J. 1 Mumford, David Bryant 1 Nguyen Minh Chuong 1 Novikoff, Albert B. J. 1 Parker, John R. 1 Phong, Duong Hong 1 Porta, Horacio A. 1 Retakh, Vladimir Solomonovich 1 Richtmyer, Robert D. 1 Seregin, Gregory A. 1 Shapiro, Ruth Bers 1 Sharir, Micha 1 Shulman, Herbert 1 Singer, Isadore M. 1 Strang, William Gilbert 1 Swenson, Eva V. 1 Temam, Roger Meyer 1 Ural’tseva, Nina Nikolaevna 1 van Leer, Bram 1 Venakides, Stephanos 1 Vershik, Anatoliĭ Moiseevich 1 Vishik, Marko Iosifovich 1 Wigler, Michael 1 Willig, Paul M. 1 Zalcman, Lawrence Allen 1 Zelevinskiĭ, Andreĭ V. all top 5 Serials 52 Communications on Pure and Applied Mathematics 9 American Mathematical Monthly 9 Notices of the American Mathematical Society 6 Bulletin of the American Mathematical Society 4 Proceedings of the National Academy of Sciences of the United States of America 4 SIAM Review 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 3 Annals of Mathematics Studies 3 Undergraduate Texts in Mathematics 2 Archive for Rational Mechanics and Analysis 2 Journal of Computational Physics 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 SIAM Journal on Applied Mathematics 2 Springer Collected Works in Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Theory of Probability and its Applications 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Integral Equations and Operator Theory 1 Memoirs of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Physica D 1 Applied Numerical Mathematics 1 IBM Journal of Research and Development 1 Linear Algebra and its Applications 1 Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Methods and Applications of Analysis 1 Journal of Evolution Equations 1 Bonner Mathematische Schriften 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 North-Holland Mathematics Studies 1 Proceedings of Symposia in Applied Mathematics 1 University Lecture Series 1 Courant Lecture Notes in Mathematics 1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts all top 5 Fields 82 Partial differential equations (35-XX) 32 Numerical analysis (65-XX) 26 History and biography (01-XX) 26 Operator theory (47-XX) 20 Fluid mechanics (76-XX) 15 Number theory (11-XX) 13 Real functions (26-XX) 8 General and overarching topics; collections (00-XX) 8 Functions of a complex variable (30-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Measure and integration (28-XX) 5 Functional analysis (46-XX) 4 Integral transforms, operational calculus (44-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Mathematics education (97-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 158 Publications have been cited 8,336 times in 6,787 Documents Cited by ▼ Year ▼ Hyperbolic systems of conservation laws. II. Zbl 0081.08803Lax, Peter D. 935 1957 Integrals of nonlinear equations of evolution and solitary waves. Zbl 0162.41103Lax, Peter D. 730 1968 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051Harten, Amiram; Lax, Peter D.; van Leer, Bram 608 1983 Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062Lax, Peter D. 437 1973 Systems of conservation laws. Zbl 0152.44802Lax, Peter D.; Wendroff, B. 430 1960 Weak solutions of nonlinear hyperbolic equations and their numerical computation. Zbl 0055.19404Lax, Peter D. 354 1954 Scattering theory for transport phenomena. Zbl 0214.12002Lax, P. D.; Phillips, R. S. 221 1967 Systems of conservation equations with a convex extension. Zbl 0229.35061Friedrichs, K. O.; Lax, P. D. 218 1971 Development of singularities of solutions of nonlinear hyperbolic partial differential equations. Zbl 0135.15101Lax, P. D. 217 1964 Functional analysis. Zbl 1009.47001Lax, Peter D. 216 2002 Survey of the stability of linear finite difference equations. Zbl 0072.08903Lax, Peter D.; Richtmyer, R. D. 180 1956 Local boundary conditions for dissipative symmetric linear differential operators. Zbl 0094.07502Lax, Peter; Phillips, R. S. 161 1960 The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067Lax, Peter D.; Levermore, C. David 136 1983 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060Lax, Peter D.; Liu, Xu-Dong 131 1998 Difference schemes for hyperbolic equations with high order of accuracy. Zbl 0233.65050Lax, Peter D.; Wendroff, Burton 128 1964 Decay of solutions of systems of nonlinear hyperbolic conservation laws. Zbl 0204.11304Glimm, J.; Lax, Peter D. 125 1970 Proof of a conjecture of P. Erdős on the derivative of a polynomial. Zbl 0061.01802Lax, Peter D. 122 1944 Periodic solutions of the KdV equation. Zbl 0295.35004Lax, Peter D. 116 1975 Scattering theory. Zbl 0186.16301Lax, Peter D.; Phillips, Ralph S. 116 1967 Asymptotic solutions of oscillatory initial value problems. Zbl 0083.31801Lax, Peter D. 115 1957 Scattering theory for automorphic functions. Zbl 0362.10022Lax, Peter D.; Phillips, Ralph S. 110 1976 Parabolic equations. Zbl 0058.08703Lax, P. D.; Milgram, A. N. 104 1954 A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029Constantin, P.; Lax, P. D.; Majda, A. 101 1985 On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070Harten, Amiram; Hyman, J. M.; Lax, Peter D. 92 1976 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036Lax, Peter D.; Phillips, Ralph S. 90 1982 Translation invariant spaces. Zbl 0085.09102Lax, Peter D. 85 1959 Shock waves and entropy. Zbl 0268.35014Lax, Peter 82 1971 Scattering theory. Rev. ed. Zbl 0697.35004Lax, Peter D.; Phillips, Ralph S. 80 1989 Nonlinear hyperbolic systems of conservation laws. Zbl 0108.28203Lax, P. D. 75 1963 Almost periodic solutions of the KdV equation. Zbl 0329.35015Lax, Peter D. 63 1976 The small dispersion limit of the Korteweg-de Vries equation. III. Zbl 0527.35074Lax, Peter D.; Levermode, C. David 57 1983 Scattering theory. Zbl 0117.09104Lax, P. D.; Phillips, R. S. 57 1964 A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations. Zbl 0072.33004Lax, Peter D. 56 1956 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 51 1966 Hyperbolic partial differential equations. Zbl 1113.35002Lax, Peter D. 49 2006 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 Differential equations, difference equations and matrix theory. Zbl 0086.01603Lax, Peter D. 49 1958 The formation and decay of shock waves. Zbl 0228.35019Lax, Peter D. 47 1972 Symmetrizable linear transformations. Zbl 0057.34402Lax, Peter D. 43 1954 The small dispersion limit of the Korteweg-de Vries equation. II. Zbl 0527.35073Lax, Peter D.; Levermode, C. David 41 1983 Linear algebra and its applications. 2nd edition. Zbl 1152.15001Lax, Peter D. 40 2007 Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036Lax, P. D.; Phillips, R. S. 38 1972 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. 37 1993 Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069Lax, P. D.; Phillips, R. S. 37 1973 Nonlinear hyperbolic equations. Zbl 0050.31705Lax, Peter D. 37 1953 On matrices whose real linear combinations are nonsingular. Zbl 0168.02404Adams, J. F.; Lax, P. D.; Phillips, R. S. 36 1966 Decaying modes for the wave equation in the exterior of an obstacle. Zbl 0181.38201Lax, Peter D.; Phillips, R. S. 33 1969 The computation of discontinuous solutions of linear hyperbolic equations. Zbl 0362.65075Mock, Michael S.; Lax, Peter D. 31 1978 Boundary value problems for first order operators. Zbl 0178.11403Friedrichs, K. O.; Lax, P. D. 31 1965 A Phragmén-Lindelöf theorem on harmonic analysis and its application to some questions in the theory of elliptic equations. Zbl 0077.31501Lax, 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. 27 1954 On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients. Zbl 0102.11701Lax, Peter D. 24 1961 On dispersive difference schemes. I. Zbl 0647.65062Goodman, Jonathan; Lax, Peter D. 22 1988 A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038Harten, Amiram; Lax, Peter D. 22 1981 On nonlinear partial differential equations with two independent variables. Zbl 0034.20103Courant, Richard; Lax, Peter 22 1949 Dispersive approximations in fluid dynamics. Zbl 0729.76065Hou, Thomas Y.; Lax, Peter D. 21 1991 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 zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081Lax, Peter D.; Levermore, C. David 20 1979 Linear algebra. Zbl 0904.15001Lax, Peter D. 18 1997 The scattering of sound waves by an obstacle. Zbl 0335.35075Lax, Peter D.; Phillips, Ralph S. 18 1977 The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803Lax, Peter D.; Phillips, R. S. 18 1970 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 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 Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J. 15 1998 Scattering theory. Zbl 0225.35081Lax, Peter D.; Phillips, Ralph S. 15 1971 A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002Lax, P. D.; Phillips, R. S. 15 1971 The wave equation in exterior domains. Zbl 0103.06401Lax, Peter D.; Phillips, Ralph S. 14 1962 On the discriminant of real symmetric matrices. Zbl 0933.15013Lax, Peter D. 13 1998 The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083Lax, Peter D. 13 1991 On dispersive difference schemes. Zbl 0613.65127Lax, Peter D. 13 1986 Scattering theory for automorphic functions. Zbl 0442.10018Lax, Peter D.; Phillips, Ralph S. 13 1980 A scattering theory for automorphic functions. Zbl 0297.35061Lax, P. D.; Phillips, R. S. 13 1974 Approximation of measure preserving transformations. Zbl 0208.32202Lax, P. D. 13 1971 Trace formulas for the Schrödinger operator. Zbl 0802.34089Lax, Peter D. 12 1994 Periodic solutions of the KdV equations. Zbl 0297.35004Lax, Peter D. 12 1974 Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802Lax, P. D.; Phillips, R. S. 12 1971 The acoustic equation with an indefinite energy form and the Schrödinger equation. Zbl 0186.16401Lax, P. D.; Phillips, R. S. 12 1967 The exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0108.28301Lax, P. D.; Morawetz, C. S.; Phillips, R. S. 12 1962 Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. Zbl 0874.35071Liu, Xu-Dong; Lax, Peter D. 11 1996 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033Lax, Peter D.; Phillips, Ralph S. 11 1985 An example of Huygens’ principle. Zbl 0362.35052Lax, Peter D.; Phillips, Ralph S. 11 1978 Accuracy and resolution in the computation of solutions of linear and nonlinear equations. Zbl 0457.65068Lax, Peter D. 10 1978 The differentiability of Polya’s function. Zbl 0262.26007Lax, Peter D. 10 1973 Generators of a Picard modular group in two complex dimensions. Zbl 1222.32038Falbel, Elisha; Francsics, Gábor; Lax, Peter D.; Parker, John R. 9 2011 On symmetrizable differential operators. Zbl 0184.36603Friedrichs, K. O.; Lax, P. D. 9 1967 Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114Liu, Xu-Dong; Lax, Peter D. 8 2003 Mathematics: frontiers and perspectives. Zbl 1047.00015Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.) 8 2000 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019Lax, Peter D.; Phillips, Ralph S. 8 1984 On the scattering frequencies of the Laplace operator for exterior domains. Zbl 0226.35077Lax, Peter D.; Phillips, Ralph S. 8 1972 Reciprocal extremal problems in function theory. Zbl 0064.31301Lax, Peter D. 8 1955 Mathematics and physics. Zbl 1157.00016Lax, Peter D. 7 2008 Change of variables in multiple integrals. Zbl 1007.26006Lax, Peter D. 7 1999 Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071Jameson, A.; Lax, P. D. 7 1987 On sums of squares. Zbl 0371.15013Lax, Anneli; Lax, Peter D. 7 1978 On the existence of Green’s functions. Zbl 0047.09802Lax, Peter 7 1952 Multivariable calculus with applications. Zbl 1396.26002Lax, Peter D.; Terrell, Maria Shea 1 2017 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. 7 2008 Linear algebra and its applications. 2nd edition. Zbl 1152.15001Lax, Peter D. 40 2007 Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Zbl 1115.35008Nguyen Minh Chuong (ed.); Ciarlet, P. G. (ed.); Lax, P. (ed.); Mumford, D. (ed.); Phong, D. H. (ed.) 6 2007 Computational fluid dynamics. Zbl 1151.76555Lax, Peter D. 2 2007 Hyperbolic partial differential equations. Zbl 1113.35002Lax, Peter D. 49 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 Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114Liu, Xu-Dong; Lax, Peter D. 8 2003 Functional analysis. Zbl 1009.47001Lax, Peter D. 216 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 1047.00015Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.) 8 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. 7 1999 Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060Lax, Peter D.; Liu, Xu-Dong 131 1998 Convex entropies and hyperbolicity for general Euler equations. Zbl 0922.35089Harten, Ami; Lax, Peter D.; Levermore, C. David; Morokoff, William J. 15 1998 On the discriminant of real symmetric matrices. Zbl 0933.15013Lax, Peter D. 13 1998 Linear algebra. Zbl 0904.15001Lax, Peter D. 18 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. 11 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. 12 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. 37 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. 21 1991 The zero dispersion limit, a deterministic analogue of turbulence. Zbl 0753.35083Lax, Peter D. 13 1991 Deterministic theories of turbulence. Zbl 0727.76063Lax, P. D. 2 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. 80 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. 6 1988 Corrigendum: Conditions for the construction of multipoint total variation diminishing difference schemes. Zbl 0622.65071Jameson, A.; Lax, P. D. 7 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. 5 1986 Hyperbolic systems of conservation laws in several space variables. Zbl 0631.35057Lax, Peter D. 3 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. 101 1985 Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033Lax, Peter D.; Phillips, Ralph S. 11 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 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 608 1983 The small dispersion limit of the Korteweg-de Vries equation. I. Zbl 0532.35067Lax, Peter D.; Levermore, C. David 136 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 41 1983 Nonlinear partial differential equations in applied science. Proceedings of the U.S. - Japan Seminar, Tokyo, 1982. Zbl 0515.00015Fujita, Hiroshi (ed.); Lax, Peter D. (ed.); Strang, Gilbert (ed.) 1 1983 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036Lax, Peter D.; Phillips, Ralph S. 90 1982 The multiplicity of eigenvalues. Zbl 0483.15006Lax, Peter D. 17 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 The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.52007Lax, Peter D.; Phillips, Ralph S. 2 1982 A random choice finite difference scheme for hyperbolic conservation laws. Zbl 0467.65038Harten, Amiram; Lax, Peter D. 22 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. 1 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. 13 1980 On the notion of hyperbolicity. Zbl 0464.35059Lax, Peter D. 3 1980 The zero dispersion limit for the Korteweg-deVries KdV equation. Zbl 0411.35081Lax, Peter D.; Levermore, C. David 20 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. 11 1978 Accuracy and resolution in the computation of solutions of linear and nonlinear equations. Zbl 0457.65068Lax, Peter D. 10 1978 On sums of squares. Zbl 0371.15013Lax, Anneli; Lax, Peter D. 7 1978 A Hamiltonian approach to the KdV and other equations. Zbl 0476.35066Lax, Peter D. 6 1978 The time delay operator and a related trace formula. Zbl 0463.47006Lax, Peter D.; Phillips, Ralph S. 6 1978 The scattering of sound waves by an obstacle. Zbl 0335.35075Lax, Peter D.; Phillips, Ralph S. 18 1977 Scattering theory for automorphic functions. Zbl 0362.10022Lax, Peter D.; Phillips, Ralph S. 110 1976 On finite-difference approximations and entropy conditions for shocks. Zbl 0351.76070Harten, Amiram; Hyman, J. M.; Lax, Peter D. 92 1976 Almost periodic solutions of the KdV equation. Zbl 0329.35015Lax, Peter D. 63 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. 116 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. 13 1974 Periodic solutions of the KdV equations. Zbl 0297.35004Lax, Peter D. 12 1974 Hyperbolic systems of conservation laws and the mathematical theory of shock waves. Zbl 0268.35062Lax, Peter D. 437 1973 Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069Lax, P. D.; Phillips, R. S. 37 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. 47 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. 8 1972 Systems of conservation equations with a convex extension. Zbl 0229.35061Friedrichs, K. O.; Lax, P. D. 218 1971 Shock waves and entropy. Zbl 0268.35014Lax, Peter 82 1971 Scattering theory. Zbl 0225.35081Lax, Peter D.; Phillips, Ralph S. 15 1971 A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002Lax, P. D.; Phillips, R. S. 15 1971 Approximation of measure preserving transformations. Zbl 0208.32202Lax, P. D. 13 1971 Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802Lax, P. D.; Phillips, R. S. 12 1971 Approximation of measure preserving transformations. Zbl 0205.35702Lax, P. D. 6 1971 Nonlinear partial differential equations of evolution. Zbl 0223.35024Lax, Peter D. 3 1971 Decay of solutions of systems of nonlinear hyperbolic conservation laws. Zbl 0204.11304Glimm, J.; Lax, Peter D. 125 1970 The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803Lax, Peter D.; Phillips, R. S. 18 1970 ...and 58 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,368 Authors 41 Chen, Gui-Qiang G. 38 Shu, Chi-Wang 35 Liu, Tai-Ping 33 Lax, Peter David 32 LeFloch, Philippe Gerard 32 Rauch, Jeffrey B. 27 Phillips, Ralph Saul 27 Tadmor, Eitan 26 Berthon, Christophe 26 Dumbser, Michael 23 Mir, Abdullah 22 Fokas, Athanassios S. 22 Ma, Wen-Xiu 22 Toro, Eleuterio F. 21 Dafermos, Constantine M. 21 El, Gennady A. 21 Kong, Dexing 21 Smoller, Joel Alan 20 Ostapenko, Vladimir Viktorovich 20 Shearer, Michael 20 Yang, Tong 19 Serre, Denis 18 Métivier, Guy 18 Petkov, Vesselin M. 17 Balsara, Dinshaw S. 17 Jørgensen, Palle E. T. 17 Li, Jiequan 17 Majda, Andrew J. 17 Shao, Zhiqiang 16 Marchesin, Dan 16 Ruggeri, Tommaso 16 Sarnak, Peter Clive 16 Zhu, Changjiang 15 Chalons, Christophe 15 Chien, Mao-Ting 15 Colombo, Rinaldo M. 15 Kulikovskiĭ, Andreĭ Gennad’evich 15 Nakazato, Hiroshi 15 Temple, Blake 15 Wazwaz, Abdul-Majid Abdul-Rahman 15 Zumbrun, Kevin R. 14 Castro, Manuel J. 14 Freistühler, Heinrich 14 Frid, Hermano 14 Osher, Stanley Joel 14 Popov, Boyan 14 Qiu, Jianxian 14 Sever, Michael 13 Allahverdiev, Bilender Paşaoğlu 13 Boillat, Guy 13 Dewan, Kum Kum 13 Guermond, Jean-Luc 13 Jeffrey, Alan P. 13 Levermore, C. David 13 Liu, Hailiang 13 Parés Madroñal, Carlos 13 Peng, Yuejun 13 Trakhinin, Yuri L. 13 Zworski, Maciej 12 Ancona, Fabio 12 Aziz, Abdul 12 Bressan, Alberto 12 Coulombel, Jean-François 12 Grava, Tamara 12 Hong, John Meng-Kai 12 Li, Yachun 12 Perla Menzala, Gustavo Alberto 12 Saurel, Richard 12 Shah, Wali Mohammad 12 Stoyanov, Luchezar N. 12 Wang, Dehua 12 Xin, Zhouping 11 Ablowitz, Mark Jay 11 Adams, Nikolaus A. 11 Chen, Geng 11 Coquel, Frédéric 11 Currò, Carmela 11 Ding, Min 11 DiPerna, Ronald J. 11 Hoefer, Mark A. 11 Joseph, Kayyunnapara Thomas 11 Kawashima, Shuichi 11 Kurganov, Alexander 11 Palin, Vladimir Vladimirovich 11 Slemrod, Marshall 11 Zhang, Yongqian 10 Bauer, Martin 10 Carpenter, Mark H. 10 Chen, Shuxing 10 Greenberg, James M. 10 Guès, Olivier 10 Keyfitz, Barbara Lee 10 Klein, Christian 10 Kontorovich, Alex V. 10 Li, Tatsien 10 Liman, Abdul 10 Prykarpatsky, Anatoliy Karolevych 10 Radkevich, Evgeniĭ Vladimirovich 10 Ren, Yuxin 10 Ryan, Jennifer K. ...and 7,268 more Authors all top 5 Cited in 590 Serials 521 Journal of Computational Physics 316 Journal of Mathematical Analysis and Applications 281 Journal of Differential Equations 223 Journal of Mathematical Physics 199 Archive for Rational Mechanics and Analysis 173 Computers and Fluids 138 Communications in Mathematical Physics 128 Journal of Scientific Computing 114 Transactions of the American Mathematical Society 109 Communications in Partial Differential Equations 108 Journal of Functional Analysis 96 Mathematics of Computation 95 Applied Mathematics and Computation 91 Physica D 90 Computer Methods in Applied Mechanics and Engineering 79 Proceedings of the American Mathematical Society 76 Computers & Mathematics with Applications 67 Journal of Computational and Applied Mathematics 64 Journal of Hyperbolic Differential Equations 61 Linear Algebra and its Applications 59 Applied Numerical Mathematics 58 Communications on Pure and Applied Mathematics 57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Mathematical Methods in the Applied Sciences 49 ZAMP. Zeitschrift für angewandte Mathematik und Physik 47 Numerische Mathematik 43 Duke Mathematical Journal 42 International Journal for Numerical Methods in Fluids 41 Journal of Fluid Mechanics 40 Advances in Mathematics 37 Applicable Analysis 37 Mathematische Annalen 35 Studies in Applied Mathematics 34 Annales de l’Institut Fourier 34 Inventiones Mathematicae 32 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 32 Journal of Mathematical Sciences (New York) 31 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 31 SIAM Journal on Scientific Computing 31 Discrete and Continuous Dynamical Systems 31 Bulletin of the American Mathematical Society 30 Publications of the Research Institute for Mathematical Sciences, Kyoto University 30 SIAM Journal on Mathematical Analysis 29 Wave Motion 28 Ukrainian Mathematical Journal 28 Acta Applicandae Mathematicae 27 Bulletin of the American Mathematical Society. New Series 27 Journal of Nonlinear Mathematical Physics 26 Journal of Soviet Mathematics 26 Quarterly of Applied Mathematics 26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 Journal of Statistical Physics 25 Letters in Mathematical Physics 25 Chaos, Solitons and Fractals 25 Functional Analysis and its Applications 25 Mathematische Zeitschrift 25 Journal de Mathématiques Pures et Appliquées. Neuvième Série 25 Nonlinear Analysis. Theory, Methods & Applications 24 SIAM Journal on Numerical Analysis 24 Communications in Nonlinear Science and Numerical Simulation 23 Journal d’Analyse Mathématique 23 Theoretical and Mathematical Physics 23 Journal of Geometry and Physics 23 Annali di Matematica Pura ed Applicata. Serie Quarta 23 Integral Equations and Operator Theory 23 Applied Mathematics Letters 23 Continuum Mechanics and Thermodynamics 23 Proceedings of the Japan Academy 21 Journal of Engineering Mathematics 20 Acta Mathematica 20 Siberian Mathematical Journal 19 Annales de l’Institut Henri Poincaré. Physique Théorique 18 Nonlinearity 17 Acta Mechanica 17 Mathematical Notes 17 Mathematics and Computers in Simulation 17 Chinese Annals of Mathematics. Series B 17 Applied Mathematical Modelling 17 Journal of Elasticity 17 Abstract and Applied Analysis 17 Nonlinear Analysis. Real World Applications 17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 Numerical Methods for Partial Differential Equations 15 Israel Journal of Mathematics 15 Journal of Applied Mathematics and Mechanics 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 15 Mathematical and Computer Modelling 15 Journal of Nonlinear Science 14 Computer Physics Communications 14 Proceedings of the Japan Academy. Series A 14 RAIRO. Modélisation Mathématique et Analyse Numérique 14 Journal of the American Mathematical Society 14 Japan Journal of Industrial and Applied Mathematics 14 Journal of High Energy Physics 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Computational Mathematics and Mathematical Physics 13 SIAM Journal on Applied Mathematics 13 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 13 Advances in Computational Mathematics 12 International Journal of Theoretical Physics ...and 490 more Serials all top 5 Cited in 63 Fields 3,776 Partial differential equations (35-XX) 1,990 Fluid mechanics (76-XX) 1,461 Numerical analysis (65-XX) 615 Dynamical systems and ergodic theory (37-XX) 494 Operator theory (47-XX) 315 Mechanics of deformable solids (74-XX) 280 Ordinary differential equations (34-XX) 275 Global analysis, analysis on manifolds (58-XX) 228 Quantum theory (81-XX) 196 Functions of a complex variable (30-XX) 194 Statistical mechanics, structure of matter (82-XX) 155 Functional analysis (46-XX) 146 Differential geometry (53-XX) 137 Probability theory and stochastic processes (60-XX) 131 Optics, electromagnetic theory (78-XX) 119 Linear and multilinear algebra; matrix theory (15-XX) 118 Number theory (11-XX) 99 Classical thermodynamics, heat transfer (80-XX) 95 Relativity and gravitational theory (83-XX) 95 Geophysics (86-XX) 90 Systems theory; control (93-XX) 89 Mechanics of particles and systems (70-XX) 84 Harmonic analysis on Euclidean spaces (42-XX) 81 Calculus of variations and optimal control; optimization (49-XX) 66 Approximations and expansions (41-XX) 66 Biology and other natural sciences (92-XX) 65 Algebraic geometry (14-XX) 62 Topological groups, Lie groups (22-XX) 56 Real functions (26-XX) 55 Operations research, mathematical programming (90-XX) 51 Integral equations (45-XX) 47 Several complex variables and analytic spaces (32-XX) 42 Nonassociative rings and algebras (17-XX) 40 Computer science (68-XX) 34 Special functions (33-XX) 34 Difference and functional equations (39-XX) 33 Abstract harmonic analysis (43-XX) 33 Integral transforms, operational calculus (44-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Statistics (62-XX) 30 Astronomy and astrophysics (85-XX) 29 History and biography (01-XX) 28 Potential theory (31-XX) 27 Measure and integration (28-XX) 27 Convex and discrete geometry (52-XX) 24 Group theory and generalizations (20-XX) 23 Combinatorics (05-XX) 22 General and overarching topics; collections (00-XX) 21 Information and communication theory, circuits (94-XX) 15 Manifolds and cell complexes (57-XX) 12 General topology (54-XX) 11 Mathematical logic and foundations (03-XX) 10 Associative rings and algebras (16-XX) 9 Field theory and polynomials (12-XX) 9 Commutative algebra (13-XX) 8 Geometry (51-XX) 6 Algebraic topology (55-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 \(K\)-theory (19-XX) 2 Sequences, series, summability (40-XX) 1 1 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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