Technical Articles

Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Materials Sciences J.A. Sethian, Cambridge University Press, 1996. (First edition)	Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision and Materials Science J.A. Sethian, Cambridge University Press, 1999. (New edition: Downloadable)	"Level Set Method: An Act of Violence" J.A. Sethian, American Scientist, 1996. (Downloadable)

• An Analysis of Flame Propagation,
        Sethian, J.A., Ph.D. Dissertation, Dept. of Mathematics, University of California, Berkeley, CA, 1982. E-mail for hardcopy       Topic area: Theory of curve and surface evolution
  
  

1984

• Turbulent Combustion in Open and Closed Vessels ,
        Sethian, J.A., J. Comp. Phys., 54, pp. 425--456, 1984. E-mail for hardcopy       Topic area: Combustion



• Derivation and Numerical Solution of the Equations of Low Mach Number Combustion ,
        Majda, A. and Sethian, J.A., Combustion Science and Technology, 42, pp. 185--205, 1984 E-mail for hardcopy       Topic area: Combustion

1985

• Curvature and the Evolution of Fronts,
        Sethian, J.A., Comm. in Math. Phys., 101, pp. 487--499, 1985. PDF       Topic area: Theory of curve and surface evolution

1987

• Numerical Methods for Propagating Fronts,
        Sethian, J.A., in Variational Methods for Free Surface Interfaces, Proceedings of the Sept, 1985 Vallambrosa Conference, Eds. P. Concus and R. Finn, Springer-Verlag, NY, 1987. PDF       Topic area: Link between fronts and conservation laws
  
  

1988

• Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton--Jacobi Formulations,
        Osher, S., and Sethian, J.A., Journal of Computational Physics, 79, pp. 12--49, 1988. PDF       Topic area: Level Set Methods
  
  
• The Design of Algorithms for Hypersurfaces moving with Curvature-Dependent Speed
        Sethian, J.A., in Nonlinear Hyperbolic Equations-Theory, Numerical Methods, and Applications, Notes on Numerical Fluid Mechanics, 24, Ballman, J. and Jeltsch, R. Eds., Vieweg, 1988. E-mail for hardcopy       Topic area: Level Set Methods

1989

A Review of Recent Numerical Algorithms for Hypersurfaces Moving with Curvature-Dependent Speed ,
      Sethian, J.A., Journal of Differential Geometry, 31, pp. 131--161, 1989. PDF       Topic area: Level Set Methods





Parallel Level Set Methods for Propagating Interfaces on the Connection Machine, ,
      Sethian, J.A., Unpublished manuscript, 1989. Unavailable       Topic area: Adaptive Mesh Strategies

1991

• The Collapse of a Dumbbell Moving Under its Mean Curvature ,
        Sethian, J.A., in Geometric Analysis and Computer Graphics, P. Concus, R. Finn, D. Hoffman, Eds., Mathematical Sciences Research Institute Publications, Springer-Verlag, 1991. E-mail for hardcopy       Topic area: Geometry




Computing the Motion of Curves and Evolving Surfaces ,
      Sethian, J.A., in Computing Optimal Geometries, J. Taylor, Ed. American Mathematical Society Publications, Video Publications, 1991. Unavailable       Topic area: Geometry

1992

Crystal Growth and Dendritic Solidification ,
      Sethian, J.A. and Strain, J.D., J. Comp. Phys., 98, pp. 231--253, 1992. PDF       Topic area: Crystal Growth





Algorithms for Computing Crystal Growth and Dendritic Solidification ,
      Sethian, J.A. and Strain, J., Institute of Mathematics and its Applications, University of Minnesota, pp. 107-126 (1992). E-mail for hardcopy       Topic area: Crystal Growth





Projection Methods Coupled to Level Set Interface Techniques ,
      Zhu, J., and Sethian, J.A., J. Comp. Phys., 102, pp. 128--138, 1992. PDF       Topic area: Fluid Mechanics

1993

Computing Minimal Surfaces via Level Set Curvature Flow ,
      Chopp, D.L., Jour. of Comp. Phys., 106, pp. 77--91, 1993. E-mail author for copy       Topic area: Geometry





Flow Under Curvature: Singularity Formation, Minimal Surfaces, and Geodesics ,
      Chopp, D.L., and Sethian, J.A., Jour. Exper. Math., 2, 4, pp. 235--255, 1993. PDF       Topic area: Geometry





A Topology Independent Shape Modeling Scheme ,
      Malladi, R., Sethian, J.A., and Vemuri, B., Proceedings of SPIE Conference on Geometric Methods in Computer Vision II, Vol. 2031, San Diego, California, pp. 246--258, July 1993. PDF       Topic area: Medical Imaging

1994

Front Propagation: A Framework for Shape Modeling and Image Segmentation ,
      Malladi, R., Sethian, J.A., and Vemuri, B., Proceedings of the AAAI Spring Symposium Series on the Applications of Computer Vision in Medical Image Processing, Stanford University, CA, March 21-23, 1994. Request Hardcopy       Topic area: Medical Imaging





Evolutionary Fronts for Topology-Independent Shape Modeling Recovery ,
      Malladi, R., Sethian, J.A., and Vemuri, B., in Proceedings of the Third European Conference on Computer Vision, LNCS Vol. 800, pp. 3--13, Stockholm, Sweden, May 1994. PDF       Topic area: Medical Imaging





Curvature Flow and Entropy Conditions Applied to Grid Generation ,
      Sethian, J.A., J. Comp. Phys., 115, pp. 440--454, 1994. PDF       Topic area: Grid Generation





Physics and Geometry of Flow under Curvature; Singularity Formation, Minimal Surfaces, Geodesics, and Surface Tension ,
      Chopp, D., and Sethian, J.A., in Motion by Mean Curvature, Proceedings of the International Conference, Eds. Buttazzo, G., and Visintin, A., Walter de Gruyter, New York, pp.168-185, 1994. PDF       Topic area: Geometry





Numerical Computation of Self-Similar Solutions for Mean Curvature ,
      Chopp, D.L., J. Exper. Math., 3, 1, pp. 1--15, 1994. E-mail for hardcopy       Topic area: Geometry





A Unified Approach for Shape Segmentation, Representation, and Recognition ,
      Malladi, R., and Sethian, J.A., Report LBL-36069, Lawrence Berkeley Laboratory, University of California, Berkeley, CA, August 1994. Check on       Topic area: Medical Imaging

1995

Shape Modeling with Front Propagation: A Level Set Approach ,
      Malladi, R., Sethian, J.A., and Vemuri, B.C., IEEE Trans. on Pattern Analysis and Machine Intelligence, 17, 2, pp. 158--175, 1995. PDF       Topic area: Medical Imaging





Dynamical Study of a Premixed V Flames ,
      Rhee, C., Talbot, L., and Sethian, J.A., Jour. Fluid Mech., 300, pp. 87--115, 1995. E-mail for hardcopy       Topic area: Combustion





A Fast Level Set Method for Propagating Interfaces ,
      Adalsteinsson, D., and Sethian, J.A., J. Comp. Physics, 118, pp.269-277, 1995. PDF       Topic area: Narrow Band Method





A Unified Level Set Approach to Etching, Deposition and Lithography I: Algorithms and Two-dimensional Simulations ,
      Adalsteinsson, D., and Sethian, J.A., J. Comp. Phys., 120, 1, pp. 128--144, 1995. PDF       Topic area: Semiconductor Processing





A Unified Level Set Approach to Etching, Deposition and Lithography II: Three-dimensional Simulations ,
      Adalsteinsson, D., and Sethian, J.A., J. Comp. Phys., 122, 2, pp. 348--366, 1995. PDF       Topic area: Semiconductor Processing





Adaptive Level Set Methods Interfaces, ,
      Milne, B. PhD. Thesis, Dept. of Mathematics, University of California, Berkeley, CA., 1995. E-mail for hardcopy       Topic area: Adaptive Mesh Strategies





Level Set Techniques for Tracking Interfaces: Fast Algorithms, Multiple Regions, Grid Generation and Shape/Character Recognition ,
      Sethian, J.A., Proceedings of the International Conference on Curvature Flows and Related Topics, Trento, Italy, 1994, Eds. A. Damlamian, J. Spruck, and A. Visintin, Gakuto Intern. Series, Tokyo, Japan, 5, pp. 215--231, 1995. PDF       Topic area: Theory of curve and surface evolution





Image Processing via Level Set Curvature Flow ,
      Malladi, R., and Sethian, J.A., Proc. Natl. Acad. of Sci., 92, 15, pp. 7046--7050, 1995. PDF       Topic area: Medical Imaging





Algorithms for Tracking Interfaces in CFD and Material Science ,
      Sethian, J.A., Annual Review of Computational Fluid Mechanics, 1995. PDF       Topic area: Level Set Methods

1996

A Fast Marching Level Set Method for Monotonically Advancing Fronts, ,
      Sethian, J.A., Proc. Nat. Acad. Sci., 93, 4, pp.1591--1595, 1996. PDF       Topic area: Fast Marching Methods





Theory, Algorithms, and Applications of Level Set Methods for Propagating Interfaces, ,
      Sethian, J.A., Acta Numerica, Cambridge University Press, 1996. PDF       Topic area: Theory of Level Set Methods and Fast Marching Methods





Level Set Methods; Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Material Sciences ,
      Sethian, J.A., Cambridge University Press, 1996. PDF       Topic area: Theory of Level Set Methods and Fast Marching Methods





A Fast Level Set based Algorithm for Topology-Independent Shape Modeling ,
      Malladi, R., Sethian, J.A., and Vemuri, B.C., J. Math. Imaging and Vision, 6, 2/3, pp. 269--290, 1996. PDF       Topic area: Medical Imaging





Image Processing: Flows under Min/Max Curvature and Mean Curvature ,
      Malladi, R., and Sethian, J.A., Graphical Models and Image Processing, 58,2, pp. 127--141, 1996. PDF       Topic area: Image Processing





A Unified Approach to Noise Removal, Image Enhancement, and Shape Recovery ,
      Malladi, R., and Sethian, J.A., IEEE Transactions on Image Processing, 5, 11, pp. 1154-1168, 1996. PDF       Topic area: Image Processing





Fast Marching Level Set Methods for Three-Dimensional Photolithography Development ,
      Sethian, J.A., Proceedings, SPIE 1996 International Symposium on Microlithography, Santa Clara, California, March, 1996. PDF       Topic area: Semiconductor Manufacturing





High Density Plasma Deposition Modeling Using Level Set Methods ,
      Adalsteinsson, Rey, J., and Sethian, J.A., Proceedings, SPIE 1996 International Symposium on Microlithography, Santa Clara, California, March, 1996. PDF       Topic area: Semiconductor Manufacturing





Etching and Deposition Modeling Using Level Set Methods ,
      Adalsteinsson, D., Rey, J., and Sethian, J.A., 13th International VMIC Meeting, Santa Clara, California, June 18th-20th, 1996. PDF       Topic area: Semiconductor Manufacturing





An O(N log N) Algorithm for Shape Modeling ,
      Malladi, R., and Sethian, J.A., Proceedings of the National Academy of Sciences, Vol. 93, pp. 9389-9392, September 1996. PDF       Topic area: Image Processing





Fast Marching Methods for Computing Distance Maps and Shortest Paths ,
      Kimmel, R., and Sethian, J.A., CPAM Report 669, Univ. of California, Berkeley, 1996. Unavailable       Topic area: Geometry





Level Set and Fast Marching Methods in Image Processing and Computer Vision ,
      Malladi, R. and Sethian, J.A., Proceedings of IEEE International Conference on Image Processing, Lausanne, Switzerland, Sept. 16-19, 1996. PDF       Topic area: Medical Imaging





Flows under Min/Max Curvature and Mean Curvature: Applications in Image Processing ,
      Malladi, R., and Sethian, J.A., Proceedings of the Fourth European Conference on Computer Vision, LNCS Vol. 1064, pp. 251-261, University of Cambridge, Cambridge, England, April 1996. Not available       Topic area: Medical Imaging





Image Smoothing and Enhancement via Min/Max Curvature Flow ,
      Malladi, R., and Sethian, J.A., Proceedings of SPIE Conference on Image and Video Processing IV, Vol. 2666, pp. 84-96, San Jose, CA, Feb. 1996. PDF       Topic area: Imaging Processing





Fast Marching Methods for Robotic Navigation with Constraints ,
      Kimmel, R., and Sethian, J.A., Center for Pure and Applied Mathematics Report, Univ. of California, Berkeley, May 1996, submitted for publication, Int. Journal Robotics Research, 1998. Unavailable       Topic area: Robotic Navigation

1997

Adaptive Fast Marching and Level Set Methods for Propagating Interfaces ,
      Acta Numerica, Proceedings of ALGORITMY '97, Zuberec, 1997. PDF       Topic area: Theory of curve and surface evolution





Level Set Methods for Curvature Flow, Image Enhancement, and Shape Recovery in Medical Images ,
      Malladi, R., and Sethian, J.A., Proc. of Conf. on Visualization and Mathematics, June, 1995, Berlin, Germany, Springer-Verlag, Heidelberg, Germany, pp. 329--345, 1997. PDF       Topic area: Medical Imaging





A Unified Level Set Approach to Etching, Deposition and Lithography III: Complex Simulations and Multiple Effects ,
      Adalsteinsson, D., and Sethian, J.A., J. Comp. Phys., 138, 1, pp. 193-223, 1997. PDF       Topic area: Semiconductor Processsing





An Overview of Level Set Methods for Etching, Deposition, and Lithography Development ,
      Sethian, J.A. and Adalsteinsson, D., IEEE Transactions on Semiconductor Devices, 10, 1, pp.167-184, 1997 PDF       Topic area: Semiconductor Manufacturing





Void Development in Plasma Enhanced CVD Models ,
      Adalsteinsson, D., Rey, J., and Sethian, J.A., Proceedings Third International Dielectrics for VLSI/ULCI Multilevel Interconnection Conference, Santa Clara, California, Feb,. 1997. PDF       Topic area: Semiconductor Processsing





Tracking Interfaces with Level Sets ,
      Sethian, J.A., American Scientist, pp. 254--263, May--June, 1997. PDF       Topic area: Theory of Level Set Methods and Fast Marching Methods

1998

Numerical Schemes for the Hamilton-Jacobi and Level Set Equations on Triangulated Domains ,
      Barth, T.J., and Sethian, J.A., J. Comp. Phys., 145, 1, pp. 1--40, 1998. PDF       Topic area: Algorithms for Unstructured Meshes





Fast Marching Methods on Triangulated Domains ,
      Kimmel, R., and Sethian, J.A., Proc. Nat. Acad. Sci., 95, pp. 8341-8435, 1998. PDF       Topic area: Algorithms for Unstructured Meshes





A Real-Time Algorithm for Medical Shape Recovery ,
      Malladi, R., and Sethian, J.A., Proceedings of ICCV '98, Bombay India, pp. 304-310, 1998. PDF       Topic area: Medical Imaging





Fast Marching Methods and Level Set Methods for Propagating Interfaces ,
      Sethian, J.A., von Karman Institute Lecture Series, Computational Fluid Mechanics, 1998. PDF       Topic area: Theory of Level Set Methods and Fast Marching Methods





Implementation of Hamilton-Jacobi and Level Set Equations on Triangulated Domains ,
      Barth, T.J. and Sethian, J.A., von Karman Institute Lecture Series, Computational Fluid Mechanics, 1998. PDF       Topic area: Theory of Level Set Methods and Fast Marching Methods





An Optimal Time Algorithm for Shape from Shading ,
      Kimmel, R., and Sethian, J.A., LBNL-41660, Lawrence Berkeley National Laboratory, Berkeley, California, April 1998. Unavailable       Topic area: Computer Graphics

1999

The Fast Construction of Extension Velocities in Level Set Methods ,
      Adalsteinsson, D., and Sethian, J.A., J. Computational Physics, 148, 1999, pp. 2-22. PDF       Topic area: Coupling to General Physics





A Geometric Approach to Segmentation and Analysis of 3D Medical Images, ,
      R. Malladi, R. Kimmel, D. Adalsteinsson, G. Sapiro, V. Caselles, and J.A. Sethian, Proceedings of IEEE/SIAM Workshop on Mathematical Methods in Biomedical Image Analysis, pp. 244-252, San Francisco, CA, June 1996. Unavailable       Topic area: Medical Imaging





Motion by Intrinsic Laplacian of Curvature ,
      Chopp, D.L., and Sethian, J.A., Interfaces and Free Boundaries, 1, 107--123, 1999. PDF       Topic area: Geometry





Level Set Methods and Fast Marching Methods; Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision and Material Science ,
      Sethian, J.A., Cambridge University Press, 1999. PDF       Topic area: Theory of curve and surface evolution





Three dimensional traveltimes computation using the Fast Marching Method ,
      Sethian, J.A. and Popovici, M., Geophysics, 64, 2, 1999. PDF       Topic area: Geophysics





Fast Marching Methods ,
      Sethian, J.A., SIAM Review, 41,2, 1999, pp. 199-235. PDF       Topic area: Fast Marching Methods





Fast Voronoi Diagrams and Offsets on Triangulated Surface ,
      Kimmel, R., and Sethian, J.A., Proceedings, AFA Conference on Curves and Surfaces, Saint-Malo, France, July, 1999 PDF       Topic area: Geometry





Advancing Interfaces: Level Set and Fast Marching Methods, ,
      Sethian, J.A., Plenary Address, Proceedings of the International Conference on Industrial and Applied Mathematics, 1999. PDF       Topic area: Theory of Level Set Methods and Fast Marching Methods

2000

Fast Methods for the Eikonal and Related Hamilton-Jacobi Equations on Unstructured Mesh, ,
      Sethian, J.A., and Vladimirsky, A., Proceedings of the National Academy of Sciences, 97, pp. 5699-5703, 2000. PDF       Topic area: Fast Marching Methods





Structural Boundary Design via Level Set and Immersed Interfaces Methods ,
      Sethian, J.A., and Wiegmann, A., J. Comp. Phys., 163, 2, Sep 2000, pp. 489-528 PDF       Topic area: Structural Design





Optimal Algorithm for Shape from Shading ,
      Kimmel, R., and Sethian, J.A., Proc. of 4-th Asian Conf. on Computer Vision. Taipei, Taiwan, January 2000. PDF       Topic area: Computer Graphics





Subjective surfaces: A method for completing missing boundaries, ,
      Sarti, A., Malladi, R., and Sethian, J.A., Proc. Nat. Acad. Sciences, 97, pp. 6258-6263, 2000. PDF       Topic area: Computer Graphics

2001

Evolution, Implementation, and Application of Level Set and Fast Marching Methods for Advancing Fronts, ,
      Sethian, J.A., J. Comp. Phys., vol. 169, pp. 503-555, 2001, PDF       Topic area: Theory and Numerics of Level Set Methods and Fast Marching Methods





Ordered Upwind Methods for Static Hamilton-Jacobi Equations, ,
      Sethian, J.A., and Vladimirsky, A., Proceedings of the National Academy of Sciences, 98, 11069-11074, 2001. PDF       Topic area: Ordered Upwind Methods

2002

Fast algorithms for optimal control, anisotropic front propagation and multiple arrivals ,
      Sethian, J.A., Proceedings of the International Congress Mathematicians, Beijing vol. 3, 735--746, 2002. PDF       Topic area: Theory and Numerics of Level Set Methods and Fast Marching Methods





Computational Methods for Advancing Interface, ,
      Sethian, J.A., Proceedings, Conference on Interfaces in the 21st Century, Monterey, Aug, 1999, Eds. M. Smith, M. Miksis, G. McFadden, and D. Canright, World Scientific, 2002, PDF       Topic area: Theory and Numerics of Level Set Methods and Fast Marching Methods





Subjective Surfaces: a Geometric Model for Boundary Completion, ,
      Sarti, A., Malladi, R., and Sethian, J.A., IJCV, 46, 3, pp.201-221, 2002, PDF       Topic area: Image Processing





Fast Methods for Shape Extraction in Medical and Biomedical Imaging, ,
      Malladi, R., and Sethian, J.A., in Geometric Methods in Biomedical Image Analysis, Ed. R. Malladi, pp. 1--13, Springer Verlag, 2002. E-mail for hardcopy       Topic area: Medical Imaging





Fast Phase Space Computation of Multiple Arrivals, ,
      Fomel, S, and Sethian, J.A., of the National Academy of Sciences, 99, 11, pp. 7329-7334, 2002 PDF       Topic area: Geophysics





Transport and Diffusion of Material Quantities on Propagating Interfaces via Level Set Methods, ,
      Adalsteinsson, D., and Sethian, J.A., J. Comp. Phys, 185, 1, pp. 271-288, 2002 PDF       Topic area: Materials Sciences





Ordered Upwinds Methods for Hybrid Control, ,
      Sethian, J.A., and Vladimirsky, A., Proceedings Fifth International Conference on Hybrid Systems and Control, Ed. C. Tomlin and M.R. Greenstreet, LCNS 2289, Springer, pp. 393, 2002 PDF       Topic area: Optimal Control

2003

Ordered Upwind Methods for Static Hamilton-Jacobi Equations: Theory and Algorithms, ,
      Sethian, J.A., and Vladimirsky, A., SIAM J. Numer. Anal., 41, 1, pp. 325-363, 2003 PDF       Topic area: Ordered Upwind Methods





Level Set Methods for Fluid Interfaces, ,
      Sethian, J.A., and Smereka, P., Annual Review of Fluid Mechanics, 35, pp.341-372, 2003. PDF       Topic area: Fluid Mechanics





A Coupled Level Set Projection Method Applied to Ink Jet Simulation, ,
      Yu, J-D., Sakai, S., and Sethian, J.A., Interfaces and Free Boundaries, 193, No. 1, pp 275-305, 2003, PDF       Topic area: Fluid Mechanics





A numerical model of stress driven grain boundary diffusion, ,
      Wilkening, J., and Sethian, J.A., J. Comp. Phys., 193, 1, pp. 275-305, 2003 PDF       Topic area: Materials Sciences

2004

Analysis of Stress Driven Grain Boundary Diffusion, Part I, ,
      Wilkening, J., Borucki, L., and Sethian, J.A., SIAM J. Appl. Math., 64, 6, 1839-1863, 2004. PDF       Topic area: Materials Sciences





Analysis of Stress Driven Grain Boundary Diffusion, Part II, ,
      Wilkening, J., Borucki, L., and Sethian, J.A., SIAM J. Appl. Math., 64, 6, 1864-1886,, 2004. PDF       Topic area: Materials Sciences

2005

Wave Breaking over Sloping Beaches using a Coupled Boundary Integral-Level Set Method, ,
      Garzon, M., Adalsteinsson, D., Gray, L., and Sethian, J.A., Interfaces and Free Boundaries, 7, 3, pp. 229-239, 2005 PDF       Topic area: Fluid Mechanics





Computational Modeling of Solid Tumor Evolution via a General Cartesian Mesh/level set method, ,
      Hogea, C.S., Murray, B.T., and Sethian, J.A., Fluid Dynamics \& Materials Processing, Vol., 1, 2, 2005, PDF       Topic area: Tumor Modeling





Simulating Complex Tumor Dynamics from Avascular to Vascular Growth using a General Level Set Method, ,
      Hogea, C.S., Murray, B.T., and Sethian, J.A., J. Mathematical Biology, 53, 1, 2005. PDF       Topic area: Tumor Modeling





A Coupled Quadrilateral Grid Level Set Projection Method Applied to Ink Jet Simulation, ,
      Yu, J.D., Sakai, S., and Sethian, J.A., J. Computational Physics, 206, 1, pp. 227-251, 2005. PDF       Topic area: Fluid Mechanics

2006

Two-Phase Viscoelastic Jetting, ,
      Yu, J.D., Sakai, S., and Sethian, J.A., to appear, J. Computational Physics, 2006 PDF       Topic area: Fluid Mechanics





Seismic velocity estimation and time-to-depth conversion of time- migrated images, ,
      Cameron, M.K., Fomel, S., and Sethian, J.A., (SVIP 1.7) SEG conference 2006, New Orleans, LA PDF       Topic area: Materials Sciences





Two-Phase Viscoelastic Jetting, ,
      Yu, J.D., Sakai, S., and Sethian, J.A., to appear, J. Computational Physics, 2006 PDF       Topic area: Fluid Mechanics





Seismic Velocity Estimation using Time Migration Velocities ,
      Cameron, M.K., Fomel, S., and Sethian, J.A., appeared, Inverse Problems, 2007 PDF       Topic area: Materials Sciences

2007

Fast Marching Methods for the Continuous Traveling Salesman Problems,
      Andrews, J., and Sethian, J.A., Proceedings National Academy Sciences, 2007. PDF       Topic area: Computational Geometry

2008

Solving Partial Differential Equations on Irregular Domains with Moving Interfaces, with Applications to Superconformal Electrodeposition in Semiconductor Manufacturing,
      Sethian, J.A., and Shan, Y., J. Comp. Phys, 227, 13, 2008. PDF       Topic area: Semiconductor Processing





Exact Sub-Grid Interface Correction Schemes for Elliptic Interface Problems ,
      Huh, J-S, and Sethian, J.A., Proc. Nat. Acad, Sciences, 105, pp. 9874, 2008. PDF       Topic area: Level Set Methods and Fast Marching Methods





Some free boundary problems in potential flow regime using a Level Set method ,
      Garzon, M., Bobillo-Ares, N., nad Sethian, J.A., Nova Publishers, "Recent Advances in Fluid Mechanics", 2008. Topic area: Fluid Mechanics

2009

Analysis and algorithms for a regularized Cauchy problem airing from a non-linear elliptic PDE for seismic velocity estimation,
      Cameron, M., Fomel, S., and Sethian, J.A., Journal Computational Physics, 228, 7388-7411, 2009. PDF       Topic area: Materials Science





Numerical simulation of non-viscous liquid pinch off using a coupled level set-boundary integral method,
      Garzon, M., Gray, L., and Sethian, J.A., Journal Computational Physics, 228, 17, pp. 6079-6106, 2009. PDF       Topic area: Fluid Mechanics





Navigating Molecular Worms Inside Chemical Labyrinths,
      Haranczyk, M., and Sethian, J.A., Proceedings of the National Academy of Sciences, 106, pp. 21472-21477, 2009. PDF       Topic area: Chemistry





Simulations of solid-fluid coupling with application to crystal entrainment in vigorous convection,
      Suckale, J., Elkins-Tanton, L., Sethian, J.A., and Yu, J-D., American Geophysical Union Abstracts, \#DI22A-08, San Francisco, December 2009. Topic area: Geophysics





Simulations of solid-fluid coupling with application to crystal entrainment in vigorous convection ocean degassing and formation of an early atmosphere,
      Suckale, J., Elkins-Tanton, L., Sethian, J.A., and Yu, J-D., American Geophysical Union Abstracts, \#P31A-1231, San Francisco, December 2009. Topic area: Geophysics

J.A. Sethian
sethian@math.berkeley.edu