Burton Wendroff | Academic Influence

Burton Wendroff's AcademicInfluence.com Rankings

Burton Wendroff

Mathematics

#2322

World Rank

#3608

Historical Rank

#928

USA Rank

Measure Theory

#1596

World Rank

#1974

Historical Rank

#529

USA Rank

mathematics Degrees

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Mathematics

Burton Wendroff's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Burton Wendroff Influential?

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According to Wikipedia, Burton Wendroff is an American applied mathematician known for his contributions to the development of numerical methods for the solution of hyperbolic partial differential equations. The Lax–Wendroff method for the solution of hyperbolic PDE is named for Wendroff .

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Burton Wendroff's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Systems of conservation laws (1960) (1875)
Difference schemes for hyperbolic equations with high order of accuracy (1964) (631)
Two-phase flow: Models and methods (1984) (575)
Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations (2003) (323)
Theoretical Numerical Analysis (1967) (295)
Rossby Wave Instability of Thin Accretion Disks. III. Nonlinear Simulations (2000) (191)
The Riemann problem for materials with nonconvex equations of state I: Isentropic flow☆ (1972) (144)
Supra-convergent schemes on irregular grids (1986) (130)
An efficient linearity-and-bound-preserving remapping method (2003) (114)
The Riemann problem for materials with nonconvex equations of state (1972) (109)
Rayleigh-Ritz Approximation by Piecewise Cubic Polynomials (1966) (101)
The Relative Efficiency of Finite Difference and Finite Element Methods. I: Hyperbolic Problems and Splines (1974) (99)
Potential Vorticity Evolution of a Protoplanetary Disk with an Embedded Protoplanet (2005) (94)
Convergence Estimates for Galerkin Methods for Variable Coefficient Initial Value Problems (1974) (78)
On the stability of difference schemes (1962) (78)
Generalized finite-difference schemes (1969) (72)
The repair paradigm and application to conservation laws (2004) (70)
On Centered Difference Equations for Hyperbolic Systems (1960) (57)
Optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary Lagrangian-Eulerian methods (2010) (55)
Two-dimensional shallow water equations by composite schemes (1999) (51)
A two-dimensional HLLE riemann solver and associated godunov-type difference scheme for gas dynamics☆ (1999) (50)
Nonhydrostatic Two-Layer Models of Incompressible Flow (1995) (43)
The repair paradigm: New algorithms and applications to compressible flow (2006) (36)
Synchronized flux corrected remapping for ALE methods (2011) (36)
On orthogonal polynomials (1961) (36)
AZTEC: a front tracking code based on Godunov's method (1986) (34)
Analysis and Computation with Stratified Fluid Models (1997) (32)
A supraconvergent scheme for nonlinear hyperbolic systems (1989) (29)
The Relation Between the Galerkin and Collocation Methods Using Smooth Splines (1974) (28)
Some Supraconvergent Schemes for Hyperbolic Equations on Irregular Grids (1989) (25)
Local Reconstruction of a Vector Field from Its Normal Components on the Faces of Grid Cells (1998) (23)
Bounds for Eigenvalues of Some Differential Operators by the Rayleigh-Ritz Method (1965) (19)
On the Convergence of the Discrete Ordinate Method (1960) (19)
Volume consistency in a staggered grid Lagrangian hydrodynamics scheme (2008) (18)
Well-Posed Problems and Stable Difference Operators (1968) (17)
A Composite Scheme for Gas Dynamics in Lagrangian Coordinates (1999) (17)
Search Tables in Computer Chess (1988) (16)
An analysis of front tracking for chromatography (1993) (15)
Comparison of Several Difference Schemes for the Euler Equations in 1D and 2D (2003) (13)
A symmetry preserving dissipative artificial viscosity in an r-z staggered Lagrangian discretization (2014) (11)
On Stability of Staggered Schemes (2008) (10)
Approximate Riemann Solvers, Godunov Schemes and Contact Discontinuities (2001) (10)
Composite Centered Schemes for Multidimensional Conservation Laws (1998) (10)
First principles of numerical analysis (1970) (9)
The stability of MacCormack's method for the scalar advection equation (1991) (9)
Optimally-stable second-order accurate difference schemes for non-linear conservation laws in 3D (2006) (8)
The comparative efficiency of certain finite element and finite difference methods for a hyperbolic problem (1974) (7)
Some cell-centered Lagrangian Lax-Wendroff HLL hybrid schemes (2016) (7)
A symmetry preserving dissipative artificial viscosity in r‐z geometry (2014) (7)
Computing a Two-Dimensional Quench Front (1977) (7)
The Structure of Certain Finite Difference Schemes (1961) (7)
A compact artificial viscosity equivalent to a tensor viscosity (2010) (7)
A new inequality for symmetric functions (1980) (6)
BOUNDS FOR THE MODEL QUENCH FRONT (1981) (6)
Cell-centered Lagrangian Lax–Wendroff HLL hybrid method for elasto-plastic flows (2017) (6)
Shallow Water Conservation Laws on a Sphere (2001) (5)
A difference scheme for radiative transfer (1969) (5)
Difference Methods for Initial-Value Problems (Robert D. Richtmyer and K. W. Morton) (1968) (4)
Bits and pieces: constructing chess endgame databases on parallel and vector architectures☆ (1993) (4)
On preservation of symmetry in r-z staggered Lagrangian schemes (2016) (4)
Shock propagation in variable area ducts with phase changes: an extension of Chisnell's method (1977) (4)
Spline-galerkin methods for initial-value problems with variable coefficients (1974) (4)
Composite flows (1992) (4)
First principles of numerical analysis : an undergraduate text (1969) (4)
Where Numerics Can Benefit from Computer Algebra in Finite Difference Modelling of Fluid Flows (1999) (3)
Review: G. I. Marchuk, Methods of numerical mathematics (1976) (3)
Continued function expansions of real numbers (1960) (3)
Lax-Wendroff methods on highly non-uniform meshes. Dedicated to the Memory of Blair Swartz (1932–2019) (2021) (2)
Fully Two-dimensional HLLEC Riemann Solver and Associated Difference Schemes (2004) (2)
A surface approximation for quench front motion (1979) (2)
Cooperation in a three-way arms race (1990) (2)
Attack Detection and Move Generation on the X-MP/48 (1985) (2)
A numerical method for the calculation of traveling wave solutions of a quench front problem (1981) (2)
A study of non-uniqueness and instability for convex materials (1990) (2)
Coerciveness inequalities for some nonelliptic differential and pseudodifferential operators (1975) (2)
Iterated games and arms race models (1991) (1)
Cell-centered Lagrangian Lax-Wendroff HLL hybrid scheme in cylindrical geometry (2020) (1)
Cell-Centred Lagrangian Lax–Wendroff HLL Hybrid Schemes in Cylindrical Geometry (2016) (1)
SYMMETRY PRESERVATION AND VOLUME CONSISTENCY IN AN RZ STAGGERED SCHEME (2014) (1)
Compatible , Energy and Symmetry Preserving 2 D Lagrangian Hydrodynamics in rz-Cylindrical Coordinates LAUR 09-08130 (2010) (1)
The early influence of peter lax on computational hydrodynamics and an application of lax-friedrichs and lax-wendroff on triangular grids in lagrangian coordinates (2011) (1)
AN UNCONDITIONALLY STABLE IMPLICIT DIFFERENCE SCHEME FOR THE HYDRODYNAMICAL EQUATIONS (1964) (1)
Multidimensional first and second order symmetric Strang splitting for hyperbolic systems (2010) (0)
Mathematical Modeling and Analysis A 1 D Lagrangian Adaptive Mesh Refinement ( AMR ) Algorithm (2004) (0)
Interpolation and Quadrature (1966) (0)
CHAPTER 2 – Approximation (1966) (0)
The quench front revisited (1988) (0)
IMPLICIT RADIATION DIFFUSION (1963) (0)
CONSISTENCY IN RZ STAGGERED SCHEMES (2013) (0)
Volume change and energy exchange: How they affect symmetry in the Noh problem (2018) (0)
Papers in Mathematics: Numerical Solution of Partial Differential Equations . Proceedings of a symposium held at College Park, Maryland, May 1965. James H. Bramble, Ed. Academic Press, New York, 1966. 389 pp., illus. $16.50. (1967) (0)
An Introduction to the Mathematical Theory of Finite Elements (J. T. Oden and J. N. Reddy) (1978) (0)
On the numerical analysis of photon transport (1965) (0)
Dedication to Seymour V. Parter on the occasion of his 65th birthday (1994) (0)
3D Remapping on Unstructured Meshes for ALE Simulations (2003) (0)
Solution of Equations (1966) (0)
Partial Differential Equations (1966) (0)
Multidimensional methods for hyperbolic problems (1996) (0)
The Compactness of Front Tracking for Chromatography Electrophoresis and Incompressible Multiphase Flow (1993) (0)
Ordinary Differential Equations (1966) (0)
CELL-CENTERED LAGRANGIAN LAX-WENDROFF HLL HYBRID SCHEME ON UNSTRUCTURED MESHES (2021) (0)

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