Osher, Stanley
Overview
Works:  115 works in 244 publications in 2 languages and 4,421 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Collector, Dedicatee 
Classifications:  QA1, 532.0151 
Publication Timeline
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Most widely held works by
Stanley Osher
Level set methods and dynamic implicit surfaces by
Stanley Osher(
Book
)
25 editions published between 1899 and 2012 in English and held by 411 WorldCat member libraries worldwide
Promotes the use of level set methods by scientists and engineers working on moving interface problems. This book presents the essential mathematical and numerical techniques. It is suitable for those interested in modeling dynamic interfaces with numerical methods that can handle topology changes and singularities
25 editions published between 1899 and 2012 in English and held by 411 WorldCat member libraries worldwide
Promotes the use of level set methods by scientists and engineers working on moving interface problems. This book presents the essential mathematical and numerical techniques. It is suitable for those interested in modeling dynamic interfaces with numerical methods that can handle topology changes and singularities
Largescale computations in fluid mechanics(
Book
)
8 editions published in 1985 in English and held by 285 WorldCat member libraries worldwide
8 editions published in 1985 in English and held by 285 WorldCat member libraries worldwide
Geometric level set methods in imaging, vision, and graphics by
Stanley Osher(
Book
)
26 editions published between 2003 and 2011 in English and held by 256 WorldCat member libraries worldwide
This title explains and apples new level set methods to problems and applications in computer vision, graphics, and imaging. It has a useful compilation of survey chapters written by leading researchers in the field, emphasizing the applications of the methods
26 editions published between 2003 and 2011 in English and held by 256 WorldCat member libraries worldwide
This title explains and apples new level set methods to problems and applications in computer vision, graphics, and imaging. It has a useful compilation of survey chapters written by leading researchers in the field, emphasizing the applications of the methods
Convergence of generalized MUSCL schemes by
Stanley Osher(
Book
)
3 editions published in 1984 in English and held by 222 WorldCat member libraries worldwide
3 editions published in 1984 in English and held by 222 WorldCat member libraries worldwide
Recent advances in scientific computing and partial differential equations : international conference on the occasion of Stanley
Osher's 60th birth day, December 1215, 2002, Hong Kong Baptist University, Hong Kong(
Book
)
4 editions published in 2003 in English and held by 177 WorldCat member libraries worldwide
4 editions published in 2003 in English and held by 177 WorldCat member libraries worldwide
Two papers on similarity of certain Volterra integral operators by
Stanley Osher(
Book
)
14 editions published in 1967 in English and Italian and held by 172 WorldCat member libraries worldwide
14 editions published in 1967 in English and Italian and held by 172 WorldCat member libraries worldwide
The nonconvex multidimensional Riemann problem for HamiltonJacobi equations by
Stanley Osher(
Book
)
2 editions published in 1989 in English and held by 166 WorldCat member libraries worldwide
2 editions published in 1989 in English and held by 166 WorldCat member libraries worldwide
Triangle based TVD schemes for hyperbolic conservation laws by L. J Durlofsky(
Book
)
2 editions published in 1990 in English and held by 157 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 157 WorldCat member libraries worldwide
High order essentially nonoscillatory schemes for HamiltonJacobi equations by
Stanley Osher(
Book
)
4 editions published in 1990 in English and held by 146 WorldCat member libraries worldwide
HamiltonJacobi (HJ) equations are frequently encountered in applications, e.g. in control theory and differential games. HJ equations are closely related to hyperbolic conservation laws  in one space dimension the former is simply the integrated version of the latter. Similarity also exists for the multidimensional case, and this is helpful in the design of difference approximations. In this paper we investigate high order essentially nonoscillatory (ENO) schemes for HJ equations, which yield uniform high order accuracy in smooth regions and resolve discontinuities in the derivatives sharply. The ENO scheme construction procedure is adapted from that for hyperbolic conservation laws. We numerically test the schemes on a variety of onedimensional and twodimensional problems, including a problem related to control optimization, and observe high order accuracy in smooth regions, good resolution of discontinuities in the derivatives, and convergence to viscosity solutions. (edc)
4 editions published in 1990 in English and held by 146 WorldCat member libraries worldwide
HamiltonJacobi (HJ) equations are frequently encountered in applications, e.g. in control theory and differential games. HJ equations are closely related to hyperbolic conservation laws  in one space dimension the former is simply the integrated version of the latter. Similarity also exists for the multidimensional case, and this is helpful in the design of difference approximations. In this paper we investigate high order essentially nonoscillatory (ENO) schemes for HJ equations, which yield uniform high order accuracy in smooth regions and resolve discontinuities in the derivatives sharply. The ENO scheme construction procedure is adapted from that for hyperbolic conservation laws. We numerically test the schemes on a variety of onedimensional and twodimensional problems, including a problem related to control optimization, and observe high order accuracy in smooth regions, good resolution of discontinuities in the derivatives, and convergence to viscosity solutions. (edc)
Uniformly highorder accurate nonoscillatory schemes by
Ami Harten(
Book
)
3 editions published in 1985 in English and held by 129 WorldCat member libraries worldwide
The authors begin the construction and the analysis of nonoscillatory shock capturing methods for the approximation of hyperbolic conservation laws. These schemes share many desirable properties with total variation diminishing schemes, but TVD schemes have at most first order accuracy, in the sense of truncation error, at extrema of the solution. This paper constructs a uniformly second order approximation, which is nonoscillatory in the sense that the number of extrema of the discrete solution is not increasing in time. This is achieved via a nonoscillatory piecewise linear reconstruction of the solution form its cell averages, time evolution through an approximate solution of the resulting initial value problem, and averaging of this approximate solution over each cell. Additional Keywords: Computations; Charts; operators(mathematics). (Author)
3 editions published in 1985 in English and held by 129 WorldCat member libraries worldwide
The authors begin the construction and the analysis of nonoscillatory shock capturing methods for the approximation of hyperbolic conservation laws. These schemes share many desirable properties with total variation diminishing schemes, but TVD schemes have at most first order accuracy, in the sense of truncation error, at extrema of the solution. This paper constructs a uniformly second order approximation, which is nonoscillatory in the sense that the number of extrema of the discrete solution is not increasing in time. This is achieved via a nonoscillatory piecewise linear reconstruction of the solution form its cell averages, time evolution through an approximate solution of the resulting initial value problem, and averaging of this approximate solution over each cell. Additional Keywords: Computations; Charts; operators(mathematics). (Author)
Level set and PDE based reconstruction methods in imaging : Cetraro, Italy, 2008 by C.I.M.E. Summer School(
Book
)
8 editions published in 2013 in English and held by 87 WorldCat member libraries worldwide
This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images. The aspects covered include edgesharpening image reconstruction and denoising, segmentation and shape analysis in images, and image matching. For each, the lecture notes provide insights into the basic analysis of modern variational and PDEbased techniques, as well as computational aspects and applications
8 editions published in 2013 in English and held by 87 WorldCat member libraries worldwide
This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images. The aspects covered include edgesharpening image reconstruction and denoising, segmentation and shape analysis in images, and image matching. For each, the lecture notes provide insights into the basic analysis of modern variational and PDEbased techniques, as well as computational aspects and applications
Entropy condtion satisfying approximations for the full potential equations of transonic flow by
Stanley Osher(
Book
)
1 edition published in 1984 in English and held by 86 WorldCat member libraries worldwide
1 edition published in 1984 in English and held by 86 WorldCat member libraries worldwide
Efficient implementation of essentially nonoscillatory shock capturing schemes, II by
ChiWang Shu(
Book
)
1 edition published in 1988 in English and held by 83 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 83 WorldCat member libraries worldwide
High resolution schemes and the entropy condition by
Stanley Osher(
Book
)
2 editions published in 1983 in English and held by 83 WorldCat member libraries worldwide
2 editions published in 1983 in English and held by 83 WorldCat member libraries worldwide
High order filtering methods for approximating hyperbolic systems of conservation laws by
Frdric Lafon(
Book
)
3 editions published in 1990 in English and held by 76 WorldCat member libraries worldwide
In the computation of discontinuous solutions of hyperbolic systems of conservation laws, the recently developed ENO (Essentially NonOscillatory) schemes appear to be very useful. However, they are computationally costly compared to simple central difference methods. In this paper we develop a filtering method which uses simple central differencing of arbitrarily high order accuracy, except when a novel local test indicates the development of spurious oscillations. At these points, generally few in number, we use the full ENO apparatus, maintaining the high order of accuracy, but removing spurious oscillations. Numerical results indicate the success of the method. We obtain high order of accuracy in regions of smooth flow without spurious oscillations for a wide range of problems and a significant speed up of generally a factor of almost three over the full ENO method. Keywords: Charts; Burger equation; Contract discontinuity. (kr)
3 editions published in 1990 in English and held by 76 WorldCat member libraries worldwide
In the computation of discontinuous solutions of hyperbolic systems of conservation laws, the recently developed ENO (Essentially NonOscillatory) schemes appear to be very useful. However, they are computationally costly compared to simple central difference methods. In this paper we develop a filtering method which uses simple central differencing of arbitrarily high order accuracy, except when a novel local test indicates the development of spurious oscillations. At these points, generally few in number, we use the full ENO apparatus, maintaining the high order of accuracy, but removing spurious oscillations. Numerical results indicate the success of the method. We obtain high order of accuracy in regions of smooth flow without spurious oscillations for a wide range of problems and a significant speed up of generally a factor of almost three over the full ENO method. Keywords: Charts; Burger equation; Contract discontinuity. (kr)
Fast wavelet based algorithms for linear evolution equations by
Bjrn Engquist(
Book
)
4 editions published in 1992 in English and held by 75 WorldCat member libraries worldwide
We devise a class of fast wavelet based algorithms for linear evolution equations whose coefficients are time independent. The method draws on the work of Beylkin, Coifman, and Rokhlin 1 which they applied to general CalderonZygmund type integral operators. We apply a modification of their idea to linear hyperbolic and parabolic equations, with spatially varying coefficients. A significant speedup over standard methods is obtained when applied to hyperbolic equations in one space dimension and parabolic equations in multidimensions. wavelets; hyperbolic; parabolic; numerical methods
4 editions published in 1992 in English and held by 75 WorldCat member libraries worldwide
We devise a class of fast wavelet based algorithms for linear evolution equations whose coefficients are time independent. The method draws on the work of Beylkin, Coifman, and Rokhlin 1 which they applied to general CalderonZygmund type integral operators. We apply a modification of their idea to linear hyperbolic and parabolic equations, with spatially varying coefficients. A significant speedup over standard methods is obtained when applied to hyperbolic equations in one space dimension and parabolic equations in multidimensions. wavelets; hyperbolic; parabolic; numerical methods
Essentially nonoscillatory postprocessing filtering methods by
Frdric Lafon(
Book
)
3 editions published between 1991 and 1992 in English and held by 74 WorldCat member libraries worldwide
3 editions published between 1991 and 1992 in English and held by 74 WorldCat member libraries worldwide
Efficient implementation of essentially nonoscillatory shock capturing schemes by
ChiWang Shu(
Book
)
4 editions published between 1987 and 1988 in English and held by 72 WorldCat member libraries worldwide
4 editions published between 1987 and 1988 in English and held by 72 WorldCat member libraries worldwide
The discrete onesided Lipschitz condition for convex scalar conservation laws by
Yann Brenier(
Book
)
3 editions published in 1986 in English and held by 70 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 70 WorldCat member libraries worldwide
An entropy correction method for unsteady full potential flows with strong shocks by
Woodrow Whitlow(
Book
)
1 edition published in 1986 in English and held by 70 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 70 WorldCat member libraries worldwide
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Related Identities
 Langley Research Center
 Fedkiw, Ronald P. 1968 Author
 Shu, ChiWang Author Editor
 Engquist, Björn 1945 Author Editor
 Institute for Computer Applications in Science and Engineering
 Paragios, Nikos Editor
 United States National Aeronautics and Space Administration
 Harten, Ami Author
 Somerville, Richard Editor
 Burger, Martin Author Editor Collector
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Associated Subjects
Aerodynamics Aerodynamics, Transonic Algorithms Burgers equation Cauchy problem Computer graphics Computer scienceMathematics Computer vision Conservation laws (Mathematics) Conservation laws (Mathematics)Numerical solutions Differential equations, Hyperbolic Differential equations, Partial Entropy Entropy (Information theory) Equations of motion Fluid mechanics Functional analysis Image analysis Image processingDigital techniques Image processingMathematics Image reconstruction Implicit functions Integral operators Interfaces (Physical sciences)Mathematics Inverse problems (Differential equations) Least squares Level set methods Mathematics Mechanics, Applied NavierStokes equations Numerical analysis Optical pattern recognition Problem solving ScienceData processing Shock wavesMathematical models Triangle Wavelets (Mathematics)
Alternative Names
Osher, S.
Osher, S. J.
Osher, S. (Stanley)
Osher, Stanley
Osher, Stanley J.
Osher, Stanley J. 1942
Stanley Osher American mathematician
Stanley Osher amerikansk matematikar
Stanley Osher amerikansk matematiker
Stanley Osher USamerikanischer Mathematiker
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