Skip header Section
Skip Bibliometrics Section
Manifolds, tensor analysis, and applications: 2nd editionAugust 1988
- Authors:
- R. Abraham,
- J. E. Marsden,
- R. Ratiu
Abstract
No abstract available.
Cited By
- Mazumdar E and Ratliff L Local Nash Equilibria are Isolated, Strict Local Nash Equilibria in ‘Almost All’ Zero-Sum Continuous Games 2019 IEEE 58th Conference on Decision and Control (CDC), (6899-6904)
- Chen W and Wang Y (2020). , and conforming elements on polygon-based prisms and cones, Numerische Mathematik, 145:4, (973-1004), Online publication date: 1-Aug-2020.
- Stevenson N and Tice I (2020). Analysis of Micropolar Fluids: Existence of Potential Microflow Solutions, Nearby Global Well-Posedness, and Asymptotic Stability, Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications, 170:1, (903-945), Online publication date: 1-Dec-2020.
- Falcó A, Hackbusch W and Nouy A (2019). On the Dirac---Frenkel Variational Principle on Tensor Banach Spaces, Foundations of Computational Mathematics, 19:1, (159-204), Online publication date: 1-Feb-2019.
Corman E and Crane K (2019). Symmetric moving frames, ACM Transactions on Graphics, 38:4, (1-16), Online publication date: 31-Aug-2019.- De A, Burden S and Koditschek D (2018). A hybrid dynamical extension of averaging and its application to the analysis of legged gait stability, International Journal of Robotics Research, 37:2-3, (266-286), Online publication date: 1-Feb-2018.
- Gross B and Atzberger P (2018). Spectral Numerical Exterior Calculus Methods for Differential Equations on Radial Manifolds, Journal of Scientific Computing, 76:1, (145-165), Online publication date: 1-Jul-2018.
- Huang E, Jafarpour S and Bullo F Synchronization of Coupled Oscillators: The Taylor Expansion of the Inverse Kuramoto Map 2018 IEEE Conference on Decision and Control (CDC), (5340-5345)
- Zayer R, Steinberger M and Seidel H (2017). A GPU-Adapted Structure for Unstructured Grids, Computer Graphics Forum, 36:2, (495-507), Online publication date: 1-May-2017.
- Zub S, Zub S, Lyashko V, Lyashko N and Lyashko S (2017). Mathematical Model of Interaction of a Symmetric Top with an Axially Symmetric External Field, Cybernetics and Systems Analysis, 53:3, (333-345), Online publication date: 1-May-2017.
- Liu B, Tong Y, Goes F and Desbrun M (2016). Discrete Connection and Covariant Derivative for Vector Field Analysis and Design, ACM Transactions on Graphics, 35:3, (1-17), Online publication date: 2-Jun-2016.
- de Goes F, Desbrun M and Tong Y Vector field processing on triangle meshes ACM SIGGRAPH 2016 Courses, (1-49)
- Li C, Wu Y, Lowe H and Li Z (2016). POE-Based Robot Kinematic Calibration Using Axis Configuration Space and the Adjoint Error Model, IEEE Transactions on Robotics, 32:5, (1264-1279), Online publication date: 1-Oct-2016.
- Munthe-Kaas H and Verdier O (2016). Integrators on Homogeneous Spaces, Foundations of Computational Mathematics, 16:4, (899-939), Online publication date: 1-Aug-2016.
- Da F, Hahn D, Batty C, Wojtan C and Grinspun E (2016). Surface-only liquids, ACM Transactions on Graphics, 35:4, (1-12), Online publication date: 11-Jul-2016.
- do Goes F, Desbrun M and Tong Y Vector field processing on triangle meshes SIGGRAPH Asia 2015 Courses, (1-48)
- Goes F, Memari P, Mullen P and Desbrun M (2014). Weighted Triangulations for Geometry Processing, ACM Transactions on Graphics, 33:3, (1-13), Online publication date: 1-May-2014.
- Röbenack K, Winkler J and Franke M Simulation of holonomic mechanical systems by means of automatic differentiation Proceedings of the 6th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools, (43-46)
- de Goes F, Liu B, Budninskiy M, Tong Y and Desbrun M Discrete 2-tensor fields on triangulations Proceedings of the Symposium on Geometry Processing, (13-24)
- Duchamp T, Xie G and Yu T (2013). Single Basepoint Subdivision Schemes for Manifold-valued Data, Foundations of Computational Mathematics, 13:5, (693-728), Online publication date: 1-Oct-2013.
- Kreeft J and Gerritsma M (2013). Mixed mimetic spectral element method for Stokes flow, Journal of Computational Physics, 240, (284-309), Online publication date: 1-May-2013.
- RäIsäNen V, Kurz S, Suuriniemi S, Tarhasaari T and Kettunen L (2013). How can we deal with moving objects on a fixed mesh?, Journal of Computational and Applied Mathematics, 246, (260-268), Online publication date: 1-Jul-2013.
- Bell N and Hirani A (2012). PyDEC, ACM Transactions on Mathematical Software, 39:1, (1-41), Online publication date: 1-Nov-2012.
- De Virgilio R and Milicchio F RFID data analysis using tensor calculus for supply chain management Proceedings of the 20th ACM international conference on Information and knowledge management, (1743-1748)
- Tamura T and Watanabe Y (2011). Hypoellipticity and Ergodicity of the Wonham Filter as a Diffusion Process, Applied Mathematics and Optimization, 64:1, (13-36), Online publication date: 1-Aug-2011.
- Auer C and Hotzz I Complete tensor field topology on 2D triangulated manifolds embedded in 3D Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization, (831-840)
- Nunes E and Hsu L (2010). Global tracking for robot manipulators using a simple causal pd controller plus feedforward, Robotica, 28:1, (23-34), Online publication date: 1-Mar-2010.
- Chen L, Low S and Doyle J (2010). Random access game and medium access control design, IEEE/ACM Transactions on Networking, 18:4, (1303-1316), Online publication date: 1-Aug-2010.
- Feltström A, Truhachev D, Lentmaier M and Zigangirov K (2009). Braided block codes, IEEE Transactions on Information Theory, 55:6, (2640-2658), Online publication date: 1-Jun-2009.
- Unal G and Slabaugh G (2008). Estimation of Vector Fields in Unconstrained and Inequality Constrained Variational Problems for Segmentation and Registration, Journal of Mathematical Imaging and Vision, 31:1, (57-72), Online publication date: 1-May-2008.
- Mullen P, McKenzie A, Tong Y and Desbrun M A variational approach to Eulerian geometry processing ACM SIGGRAPH 2007 papers, (66-es)
- Elcott S, Tong Y, Kanso E, Schröder P and Desbrun M (2007). Stable, circulation-preserving, simplicial fluids, ACM Transactions on Graphics, 26:1, (4-es), Online publication date: 1-Jan-2007.
- Mullen P, McKenzie A, Tong Y and Desbrun M (2007). A variational approach to Eulerian geometry processing, ACM Transactions on Graphics, 26:3, (66-es), Online publication date: 29-Jul-2007.
- Desbrun M, Kanso E and Tong Y Discrete differential forms for computational modeling ACM SIGGRAPH 2006 Courses, (39-54)
- Elcott S, Tong Y, Kanso E, Schroder P and Desbrun M Stable, circulation-preserving, simplicial fluids ACM SIGGRAPH 2006 Courses, (60-68)
- Desbrun M, Kanso E and Tong Y Discrete differential forms for computational modeling ACM SIGGRAPH 2005 Courses, (7-es)
- Elcott S, Tong Y, Kanso E, Schröder P and Desbrun M Discrete, vorticity-preserving, and stable simplicial fluids ACM SIGGRAPH 2005 Courses, (9-es)
- Chefd'hotel C, Tschumperlé D, Deriche R and Faugeras O (2004). Regularizing Flows for Constrained Matrix-Valued Images, Journal of Mathematical Imaging and Vision, 20:1-2, (147-162), Online publication date: 1-Jan-2004.
- Yu Y, Zhou K, Xu D, Shi X, Bao H, Guo B and Shum H Mesh editing with poisson-based gradient field manipulation ACM SIGGRAPH 2004 Papers, (644-651)
- Denis-Vidal L and Joly-Blanchard G (2004). Equivalence and identifiability analysis of uncontrolled nonlinear dynamical systems, Automatica (Journal of IFAC), 40:2, (287-292), Online publication date: 1-Feb-2004.
- Yu Y, Zhou K, Xu D, Shi X, Bao H, Guo B and Shum H (2004). Mesh editing with poisson-based gradient field manipulation, ACM Transactions on Graphics, 23:3, (644-651), Online publication date: 1-Aug-2004.
- Chossat P, Lewis D, Ortega J and Ratiu T (2003). Bifurcation of relative equilibria in mechanical systems with symmetry, Advances in Applied Mathematics, 31:1, (10-45), Online publication date: 1-Jul-2003.
- Tong Y, Lombeyda S, Hirani A and Desbrun M Discrete multiscale vector field decomposition ACM SIGGRAPH 2003 Papers, (445-452)
- Tong Y, Lombeyda S, Hirani A and Desbrun M (2003). Discrete multiscale vector field decomposition, ACM Transactions on Graphics, 22:3, (445-452), Online publication date: 1-Jul-2003.
- Scherpen J and Gray W (2002). Nonlinear Hilbert adjoints, Nonlinear Analysis: Theory, Methods & Applications, 51:5, (883-901), Online publication date: 21-Nov-2002.
- Mitzenmacher M (2001). The Power of Two Choices in Randomized Load Balancing, IEEE Transactions on Parallel and Distributed Systems, 12:10, (1094-1104), Online publication date: 1-Oct-2001.
- Engø K (2000). On the Construction of Geometric Integrators in the RKMK Class, BIT, 40:1, (41-61), Online publication date: 1-Mar-2000.
- Aulbach B and Garay B (1993). Linearizing the expanding part of noninvertible mappings, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 44:3, (469-494), Online publication date: 1-May-1993.
Index Terms
- Manifolds, tensor analysis, and applications: 2nd edition
Recommendations
Sparse tensor discriminant analysis
The classical linear discriminant analysis has undergone great development and has recently been extended to different cases. In this paper, a novel discriminant subspace learning method called sparse tensor discriminant analysis (STDA) is proposed, ...
Discriminant Analysis with Tensor Representation
CVPR '05: Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01In this paper, we present a novel approach to solving the supervised dimensionality reduction problem by encoding an image object as a general tensor of 2nd or higher order. First, we propose a Discriminant Tensor Criterion (DTC), whereby multiple ...