-
1
-
-
10044247612
-
Lecture notes on optimal transport problems
-
Lecture Notes in Math, Springer, Berlin
-
L. AMBROSIO, Lecture notes on optimal transport problems, in Mathematical Aspects of Evolving Interfaces (Funchal, 2000), Lecture Notes in Math. 1812, Springer, Berlin, 2003, pp. 1-52.
-
(2003)
Mathematical Aspects of Evolving Interfaces (Funchal, 2000)
, vol.1812
, pp. 1-52
-
-
Ambrosio, L.1
-
3
-
-
84974753170
-
Convergence of approximation schemes for fully nonlinear second order equations
-
G. BARLES AND P. E. SOUGANIDIS, Convergence of approximation schemes for fully nonlinear second order equations, Asymptot. Anal., 4(1991), pp. 271-283.
-
(1991)
Asymptot. Anal.
, vol.4
, pp. 271-283
-
-
Barles, G.1
Souganidis, P.E.2
-
4
-
-
0034407460
-
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
-
J.-D. BENAMOU AND Y. BRENIER, A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, Numer. Math., 84(2000), pp. 375-393.
-
(2000)
Numer. Math.
, vol.84
, pp. 375-393
-
-
Benamou, J.-D.1
Brenier, Y.2
-
5
-
-
77956599916
-
Two numerical methods for the elliptic Monge-Ampère equation
-
J.-D. BENAMOU, B. D. FROESE, AND A. M. OBERMAN, Two numerical methods for the elliptic Monge-Ampère equation, ESAIM Math. Model. Numer. Anal., 4(2010), pp. 737-758.
-
(2010)
ESAIM Math. Model. Numer. Anal.
, vol.4
, pp. 737-758
-
-
Benamou, J.-D.1
Froese, B.D.2
Oberman, A.M.3
-
7
-
-
3142693266
-
Consistency of generalized finite difference schemes for the stochastic HJB equation
-
J. F. BONNANS AND H. ZIDANI, Consistency of generalized finite difference schemes for the stochastic HJB equation, SIAM J. Numer. Anal., 41(2003), pp. 1008-1021.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 1008-1021
-
-
Bonnans, J.F.1
Zidani, H.2
-
8
-
-
75749125433
-
Moving mesh generation using the parabolic Monge-Ampère equation
-
C. J. BUDD AND J. F. WILLIAMS, Moving mesh generation using the parabolic Monge-Ampère equation, SIAM J. Sci. Comput., 31(2009), pp. 3438-3465.
-
(2009)
SIAM J. Sci. Comput.
, vol.31
, pp. 3438-3465
-
-
Budd, C.J.1
Williams, J.F.2
-
9
-
-
84990580987
-
The Dirichlet problem for nonlinear secondorder elliptic equations. I. Monge-Ampère equation
-
L. CAFFARELLI, L. NIRENBERG, AND J. SPRUCK, The Dirichlet problem for nonlinear secondorder elliptic equations. I. Monge-Ampère equation, Commun. Pure Appl. Math., 37(1984), pp. 369-402.
-
(1984)
Commun. Pure Appl. Math.
, vol.37
, pp. 369-402
-
-
Caffarelli, L.1
Nirenberg, L.2
Spruck, J.3
-
10
-
-
0002068394
-
2, p estimates for solutions of the Monge-Ampère equation
-
2, p estimates for solutions of the Monge-Ampère equation, Ann. of Math. (2), 131(1990), pp. 135-150.
-
(1990)
Ann. of Math. (2)
, vol.131
, pp. 135-150
-
-
Caffarelli, L.A.1
-
11
-
-
65149086409
-
Space deformations, surface deformations and the opportunities in-between
-
D. COHEN-OR, Space deformations, surface deformations and the opportunities in-between, J. Comput. Sci. Technol., 24(2009), pp. 2-5.
-
(2009)
J. Comput. Sci. Technol.
, vol.24
, pp. 2-5
-
-
Cohen-Or, D.1
-
12
-
-
84967708673
-
User's guide to viscosity solutions of second order partial differential equations
-
M. G. CRANDALL, H. ISHII, AND P.-L. LIONS, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N. S.), 27(1992), pp. 1-67.
-
(1992)
Bull. Amer. Math. Soc. (N. S.)
, vol.27
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.-L.3
-
13
-
-
33646378906
-
An augmented Lagrangian approach to the numerical solution of the dirichlet problem for the elliptic Monge-Ampère equation in two dimensions
-
E. J. DEAN AND R. GLOWINSKI, An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions, Electron. Trans. Numer. Anal., 22(2006), pp. 71-96. (Pubitemid 43666165)
-
(2006)
Electronic Transactions on Numerical Analysis
, vol.22
, pp. 71-96
-
-
Dean, E.J.1
Glowinski, R.2
-
14
-
-
84962796427
-
On the numerical solution of the elliptic Monge-Ampère equation in dimension two: A least-squares approach
-
Springer, Dordrecht
-
E. J. DEAN AND R. GLOWINSKI, On the numerical solution of the elliptic Monge-Ampère equation in dimension two: A least-squares approach, in Partial Differential Equations, Comput. Methods Appl. Sci. 16, Springer, Dordrecht, 2008, pp. 43-63.
-
(2008)
Partial Differential Equations, Comput. Methods Appl. Sci.
, vol.16
, pp. 43-63
-
-
Dean, E.J.1
Glowinski, R.2
-
15
-
-
53349146583
-
An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization
-
G. L. DELZANNO, L. CHACÓN, J. M. FINN, Y. CHUNG, AND G. LAPENTA, An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization, J. Comput. Phys., 227(2008), pp. 9841-9864.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 9841-9864
-
-
Delzanno, G.L.1
Chacón, L.2
Finn, J.M.3
Chung, Y.4
Lapenta, G.5
-
16
-
-
0003073688
-
Partial differential equations and Monge-Kantorovich mass transfer
-
Cambridge, MA, Int. Press, Boston, MA
-
L. C. EVANS, Partial differential equations and Monge-Kantorovich mass transfer, in Current Developments in Mathematics 1997 (Cambridge, MA), Int. Press, Boston, MA, 1999, pp. 65-126.
-
(1999)
Current Developments in Mathematics 1997
, pp. 65-126
-
-
Evans, L.C.1
-
17
-
-
77952098338
-
Mixed finite element methods for the fully nonlinear Monge-Ampère equation based on the vanishing moment method
-
X. FENG AND M. NEILAN, Mixed finite element methods for the fully nonlinear Monge-Ampère equation based on the vanishing moment method, SIAM J. Numer. Anal., 47(2009), pp. 1226-1250.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 1226-1250
-
-
Feng, X.1
Neilan, M.2
-
18
-
-
59349099761
-
Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations
-
X. FENG AND M. NEILAN, Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations, J. Sci. Comput., 38(2009), pp. 74-98.
-
(2009)
J. Sci. Comput.
, vol.38
, pp. 74-98
-
-
Feng, X.1
Neilan, M.2
-
19
-
-
77952426648
-
Grid generation and adaptation by Monge-Kantorovich optimization in two and three dimensions
-
J. M. FINN, G. L. DELZANNO, AND L. CHACÓN, Grid generation and adaptation by Monge-Kantorovich optimization in two and three dimensions, in Proceedings of the 17th International Meshing Roundtable, (2008), pp. 551-568.
-
(2008)
Proceedings of the 17th International Meshing Roundtable
, pp. 551-568
-
-
Finn, J.M.1
Delzanno, G.L.2
Chacón, L.3
-
20
-
-
0037118068
-
A reconstruction of the initial conditions of the universe by optimal mass transportation
-
U. FRISCH, S. MATARRESE, R. MOHAYAEE, AND A. SOBOLEVSKI, A reconstruction of the initial conditions of the universe by optimal mass transportation, Nature, 417 (2002).
-
(2002)
Nature
, vol.417
-
-
Frisch, U.1
Matarrese, S.2
Mohayaee, R.3
Sobolevski, A.4
-
21
-
-
78649322125
-
Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation
-
B. D. FROESE AND A. M. OBERMAN, Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation, J. Comput. Phys., 230(2011), pp. 818-834.
-
(2011)
J. Comput. Phys.
, vol.230
, pp. 818-834
-
-
Froese, B.D.1
Oberman, A.M.2
-
22
-
-
84876121473
-
A numerical method for the elliptic Monge-Ampere equation with transport boundary conditions
-
to appear
-
B. D. FROESE, A numerical method for the elliptic Monge-Ampere equation with transport boundary conditions, SIAM J. Sci. Comput., to appear.
-
SIAM J. Sci. Comput.
-
-
Froese, B.D.1
-
23
-
-
11044234672
-
Optical design of single reflector systems and the monge-kantorovich mass transfer problem
-
DOI 10.1023/A:1024856201493
-
T. GLIMM AND V. OLIKER, Optical design of single reflector systems and the Monge-Kantorovich mass transfer problem, J. Math. Sci. (N. Y.), 117(2003), pp. 4096-4108. (Pubitemid 36906073)
-
(2003)
Journal of Mathematical Sciences
, vol.117
, Issue.3
, pp. 4096-4108
-
-
Glimm, T.1
Oliker, V.2
-
24
-
-
77956575903
-
Numerical methods for fully nonlinear elliptic equations
-
R. Jeltsch and G. Wanner, eds., ICIAM 07, Invited Lectures
-
R. GLOWINSKI, Numerical methods for fully nonlinear elliptic equations, in Proceedings of the 6th International Congress on Industrial and Applied Mathematics, R. Jeltsch and G. Wanner, eds., ICIAM 07, Invited Lectures, 2009, pp. 155-192.
-
(2009)
Proceedings of the 6th International Congress on Industrial and Applied Mathematics
, pp. 155-192
-
-
Glowinski, R.1
-
25
-
-
14744292023
-
The Monge-Ampere equation
-
Birkhauser Boston, Boston, MA
-
C. E. GUTIÉRREZ, The Monge-Ampere equation, Progress in Nonlinear Differential Equations and their Applications 44, Birkhauser Boston, Boston, MA, 2001.
-
(2001)
Progress in Nonlinear Differential Equations and Their Applications
, vol.44
-
-
Gutiérrez, C.E.1
-
27
-
-
84958172507
-
Mass preserving mappings and image registration
-
Medical Image Computing and Computer-Assisted Intervention - MICCAI 2001
-
S. HAKER, A. TANNENBAUM, AND R. KIKINIS, Mass preserving mappings and image registration, in MICCAI'01: Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention, Springer-Verlag, London, 2001, pp. 120-127. (Pubitemid 33352404)
-
(2001)
Lecture Notes in Computer Science
, Issue.2208
, pp. 120-127
-
-
Haker, S.1
Tannenbaum, A.2
Kikinis, R.3
-
28
-
-
4043173501
-
Optimal mass transport for registration and warping
-
S. HAKER, L. ZHU, A. TANNENBAUM, AND S. ANGENENT, Optimal mass transport for registration and warping, Internat. J. Comput. Vision, 60(2004), pp. 225-240.
-
(2004)
Internat. J. Comput. Vision
, vol.60
, pp. 225-240
-
-
Haker, S.1
Zhu, L.2
Tannenbaum, A.3
Angenent, S.4
-
29
-
-
34248398656
-
Isometric embedding of Riemannian manifolds in Euclidean spaces
-
American Mathematical Society, Providence, RI
-
Q. HAN AND J.-X. HONG, Isometric embedding of Riemannian manifolds in Euclidean spaces, Mathematical Surveys and Monographs 130, American Mathematical Society, Providence, RI, 2006.
-
(2006)
Mathematical Surveys and Monographs
, vol.130
-
-
Han, Q.1
Hong, J.-X.2
-
30
-
-
0010877868
-
Prescribing the curvature of a Riemannian manifold
-
published for the Conference Board of the Mathematical Sciences, Washington, D. C.
-
J. L. KAZDAN, Prescribing the curvature of a Riemannian manifold, CBMS Regional Conference Series in Mathematics 57, published for the Conference Board of the Mathematical Sciences, Washington, D. C., 1985.
-
(1985)
CBMS Regional Conference Series in Mathematics
, vol.57
-
-
Kazdan, J.L.1
-
31
-
-
0002914778
-
Iterative methods for linear and nonlinear equations
-
SIAM, Philadelphia
-
C. T. KELLEY, Iterative methods for linear and nonlinear equations, Frontiers in Applied Mathematics 16, SIAM, Philadelphia, 1995.
-
(1995)
Frontiers in Applied Mathematics
, vol.16
-
-
Kelley, C.T.1
-
32
-
-
13844310722
-
Une méthode numérique de résolution de l'equation de Monge-Ampère
-
DOI 10.1016/j.crma.2004.12.018, PII S1631073X04006004
-
G. LOEPER AND F. RAPETTI, Numerical solution of the Monge-Ampere equation by a Newton's algorithm, C. R. Math. Acad. Sci. Paris, 340(2005), pp. 319-324. (Pubitemid 40262429)
-
(2005)
Comptes Rendus Mathematique
, vol.340
, Issue.4
, pp. 319-324
-
-
Loeper, G.1
Rapetti, F.2
-
33
-
-
11944255628
-
A convergent monotone difference scheme for motion of level sets by mean curvature
-
DOI 10.1007/s00211-004-0566-1
-
A. M. OBERMAN, A convergent monotone difference scheme for motion of level sets by mean curvature, Numer. Math., 99(2004), pp. 365-379. (Pubitemid 40101457)
-
(2004)
Numerische Mathematik
, vol.99
, Issue.2
, pp. 365-379
-
-
Oberman, A.M.1
-
34
-
-
21644465169
-
A convergent difference scheme for the infinity laplacian: Construction of absolutely minimizing Lipschitz extensions
-
DOI 10.1090/S0025-5718-04-01688-6, PII S0025571804016886
-
A. M. OBERMAN, A convergent difference scheme for the infinity Laplacian: Construction of absolutely minimizing Lipschitz extensions, Math. Comp., 74(2005), pp. 1217-1230. (Pubitemid 40937961)
-
(2005)
Mathematics of Computation
, vol.74
, Issue.251
, pp. 1217-1230
-
-
Oberman, A.M.1
-
35
-
-
34247269678
-
Convergent difference schemes for degenerate elliptic and parabolic equations: Hamilton-Jacobi equations and free boundary problems
-
DOI 10.1137/S0036142903435235
-
A. M. OBERMAN, Convergent difference schemes for degenerate elliptic and parabolic equations: Hamilton-Jacobi equations and free boundary problems, SIAM J. Numer. Anal., 44(2006), pp. 879-895. (Pubitemid 46622351)
-
(2006)
SIAM Journal on Numerical Analysis
, vol.44
, Issue.2
, pp. 879-895
-
-
Oberman, A.M.1
-
36
-
-
44349108892
-
Computing the convex envelope using a nonlinear partial differential equation
-
DOI 10.1142/S0218202508002851, PII S0218202508002851
-
A. M. OBERMAN, Computing the convex envelope using a nonlinear partial differential equation, Math. Models Methods Appl. Sci., 18(2008), pp. 759-780. (Pubitemid 351730148)
-
(2008)
Mathematical Models and Methods in Applied Sciences
, vol.18
, Issue.5
, pp. 759-780
-
-
Oberman, A.M.1
-
37
-
-
47249122195
-
Wide stencil finite difference schemes for the elliptic Monge-Ampere equation and functions of the eigenvalues of the Hessian
-
A. M. OBERMAN, Wide stencil finite difference schemes for the elliptic Monge-Ampere equation and functions of the eigenvalues of the Hessian, Discrete Contin. Dyn. Syst. Ser. B, 10(2008), pp. 221-238.
-
(2008)
Discrete Contin. Dyn. Syst. Ser. B
, vol.10
, pp. 221-238
-
-
Oberman, A.M.1
-
38
-
-
79960829954
-
The Dirichlet problem for the convex envelope
-
to appear
-
A. M. OBERMAN AND L. SILVESTRE, The Dirichlet problem for the convex envelope, Trans. Amer. Math. Soc. to appear, http://arxiv.org/abs/1007.0773.
-
Trans. Amer. Math. Soc.
-
-
Oberman, A.M.1
Silvestre, L.2
-
40
-
-
0010676675
-
-
translated from the first Russian edition by L. F. Boron with the assistance of A. L. Rabenstein and R. C. Bollinger. P. Noordhoff Ltd., Groningen
-
A. V. POGORELOV, Monge-Ampere equations of elliptic type, translated from the first Russian edition by L. F. Boron with the assistance of A. L. Rabenstein and R. C. Bollinger. P. Noordhoff Ltd., Groningen, 1964.
-
(1964)
Monge-ampere Equations of Elliptic Type
-
-
Pogorelov, A.V.1
-
41
-
-
21644443786
-
The Dirichlet problem for the multidimensional analogue of the Monge-Ampere equation
-
A. V. POGORELOV, The Dirichlet problem for the multidimensional analogue of the Monge-Ampere equation, Dokl. Akad. Nauk SSSR, 201(1971), pp. 790-793.
-
(1971)
Dokl. Akad. Nauk SSSR
, vol.201
, pp. 790-793
-
-
Pogorelov, A.V.1
-
42
-
-
0003449348
-
-
2nd ed., Academic Press Harcourt Brace Jovanovich Publishers, New York
-
G. STRANG, Linear algebra and its applications, 2nd ed., Academic Press [Harcourt Brace Jovanovich Publishers], New York, 1980.
-
(1980)
Linear Algebra and its Applications
-
-
Strang, G.1
-
43
-
-
70350343717
-
3D nonrigid registration via optimal mass transport on the GPU
-
12
-
T. UR REHMAN, E. HABER, G. PRYOR, J. MELONAKOS, AND A. TANNENBAUM, 3D nonrigid registration via optimal mass transport on the GPU, Med. Image Anal., 13(2009), pp. 931-940, 12.
-
(2009)
Med. Image Anal.
, vol.13
, pp. 931-940
-
-
Rehman, T.U.1
Haber, E.2
Pryor, G.3
Melonakos, J.4
Tannenbaum, A.5
-
44
-
-
85012923347
-
The generalized Dirichlet problem for equations of Monge-Ampere type
-
J. I. E. URBAS, The generalized Dirichlet problem for equations of Monge-Ampere type, Ann. Inst. H. Poincare Anal. Non Lineaire, 3(1986), pp. 209-228.
-
(1986)
Ann. Inst. H. Poincare Anal. Non Lineaire
, vol.3
, pp. 209-228
-
-
Urbas, J.I.E.1
-
45
-
-
1542342359
-
Topics in optimal transportation
-
American Mathematical Society, Providence, RI
-
C. VILLANI, Topics in optimal transportation, Graduate Studies in Mathematics 58, American Mathematical Society, Providence, RI, 2003.
-
(2003)
Graduate Studies in Mathematics
, vol.58
-
-
Villani, C.1
-
46
-
-
77952420856
-
The Monge-Ampere equation: Various forms and numerical solution
-
V. ZHELIGOVSKY, O. PODVIGINA, AND U. FRISCH, The Monge-Ampere equation: Various forms and numerical solution, J. Comput. Phys., 229(2010), pp. 5043-5061.
-
(2010)
J. Comput. Phys.
, vol.229
, pp. 5043-5061
-
-
Zheligovsky, V.1
Podvigina, O.2
Frisch, U.3
|