@other{https://resolver.caltech.edu/CaltechTHESIS:12102018-011614041, title = "Geometry-Driven Model Reduction", year = "2019", url = "https://resolver.caltech.edu/CaltechTHESIS:12102018-011614041", id = "record", doi = "10.7907/0RCX-0369" } @other{https://resolver.caltech.edu/CaltechTHESIS:10262016-165619613, title = "Applied Computational Topology for Point Clouds and Sparse Timeseries Data", year = "2017", url = "https://resolver.caltech.edu/CaltechTHESIS:10262016-165619613", id = "record", doi = "10.7907/Z9D798DF" } @other{https://resolver.caltech.edu/CaltechTHESIS:05302017-094600781, title = "Spectral Exterior Calculus and its Implementation", year = "2017", url = "https://resolver.caltech.edu/CaltechTHESIS:05302017-094600781", id = "record", doi = "10.7907/Z9VX0DKV" } @other{https://resolver.caltech.edu/CaltechTHESIS:05312015-134909133, title = "Full and Model-Reduced Structure-Preserving Simulation of Incompressible Fluids", year = "2015", url = "https://resolver.caltech.edu/CaltechTHESIS:05312015-134909133", id = "record", doi = "10.7907/Z9KK98QG" } @other{https://resolver.caltech.edu/CaltechTHESIS:05222014-134831171, title = "Geometric Discretization through Primal-Dual Meshes", year = "2014", url = "https://resolver.caltech.edu/CaltechTHESIS:05222014-134831171", id = "record", doi = "10.7907/32CA-7376" } @other{https://resolver.caltech.edu/CaltechTHESIS:12042013-185815472, title = "Geometric Integration Applied to Moving Mesh Methods and Degenerate Lagrangians", year = "2014", url = "https://resolver.caltech.edu/CaltechTHESIS:12042013-185815472", id = "record", doi = "10.7907/PH3X-YH23" } @other{https://resolver.caltech.edu/CaltechTHESIS:06052013-020706629, title = "Conformal Geometry Processing", year = "2013", url = "https://resolver.caltech.edu/CaltechTHESIS:06052013-020706629", id = "record", doi = "10.7907/8V9Z-N286" } @other{https://resolver.caltech.edu/CaltechTHESIS:06172013-011507797, title = "Geometric Quantization and Foliation Reduction", year = "2013", url = "https://resolver.caltech.edu/CaltechTHESIS:06172013-011507797", id = "record", doi = "10.7907/Q72T-Y013" } @other{https://resolver.caltech.edu/CaltechTHESIS:06172013-011507797, title = "Geometric Quantization and Foliation Reduction", year = "2013", url = "https://resolver.caltech.edu/CaltechTHESIS:06172013-011507797", id = "record", doi = "10.7907/Q72T-Y013" } @other{https://resolver.caltech.edu/CaltechTHESIS:08192012-145253489, title = "GRAph Parallel Actor Language: A Programming Language for Parallel Graph Algorithms", year = "2013", url = "https://resolver.caltech.edu/CaltechTHESIS:08192012-145253489", id = "record", doi = "10.7907/M3TW-7Y53" } @other{https://resolver.caltech.edu/CaltechTHESIS:09092011-162631888, title = "Eulerian Geometric Discretizations of Manifolds and Dynamics", year = "2012", url = "https://resolver.caltech.edu/CaltechTHESIS:09092011-162631888", id = "record", doi = "10.7907/5GSC-W341" } @other{https://resolver.caltech.edu/CaltechTHESIS:04302012-142612208, title = "Geometric Descriptions of Couplings in Fluids and Circuits", year = "2012", url = "https://resolver.caltech.edu/CaltechTHESIS:04302012-142612208", id = "record", doi = "10.7907/AZXE-PH33" } @other{https://resolver.caltech.edu/CaltechTHESIS:05222011-165117683, title = "An Optimal Transport Approach to Robust Reconstruction and Simplification of 2D Shapes ", year = "2011", url = "https://resolver.caltech.edu/CaltechTHESIS:05222011-165117683", id = "record", doi = "10.7907/YKZF-VX90" } @other{https://resolver.caltech.edu/CaltechTHESIS:10162015-141215167, title = "Uncovering the Lagrangian from Observations of Trajectories", year = "2011", url = "https://resolver.caltech.edu/CaltechTHESIS:10162015-141215167", id = "record", doi = "10.7907/4M31-DK09" } @other{https://resolver.caltech.edu/CaltechTHESIS:04052010-152122284, title = "Algorithms and Techniques for Conquering Extreme Physical Variation in Bottom-Up Nanoscale Systems", year = "2010", url = "https://resolver.caltech.edu/CaltechTHESIS:04052010-152122284", id = "record", doi = "10.7907/BBC7-XK34" } @other{https://resolver.caltech.edu/CaltechTHESIS:11172009-224005473, title = "Geometric Interpretation of Physical Systems for Improved Elasticity Simulations", year = "2010", url = "https://resolver.caltech.edu/CaltechTHESIS:11172009-224005473", id = "record", doi = "10.7907/8ZF3-XN72" } @other{https://resolver.caltech.edu/CaltechTHESIS:06252010-144116673, title = "Geometric, Variational Discretization of Continuum Theories", year = "2010", url = "https://resolver.caltech.edu/CaltechTHESIS:06252010-144116673", id = "record", doi = "10.7907/HW8J-FQ68" } @other{https://resolver.caltech.edu/CaltechTHESIS:05282010-102307125, title = "Discrete Connections for Geometry Processing", year = "2010", url = "https://resolver.caltech.edu/CaltechTHESIS:05282010-102307125", id = "record", doi = "10.7907/SYF7-QD47" } @other{https://resolver.caltech.edu/CaltechETD:etd-05222009-125630, title = "Structure-Preserving Discretization of Incompressible Fluids", year = "2009", url = "https://resolver.caltech.edu/CaltechETD:etd-05222009-125630", id = "record", doi = "10.7907/KCQK-QF78" } @other{https://resolver.caltech.edu/CaltechETD:etd-12312008-173851, title = "Geometric Discretization of Lagrangian Mechanics and Field Theories", year = "2009", url = "https://resolver.caltech.edu/CaltechETD:etd-12312008-173851", id = "record", doi = "10.7907/K943-VJ44" } @other{https://resolver.caltech.edu/CaltechETD:etd-05212008-164705, title = "Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator", year = "2008", url = "https://resolver.caltech.edu/CaltechETD:etd-05212008-164705", id = "record", doi = "10.7907/S4S7-8T31" } @other{https://resolver.caltech.edu/CaltechETD:etd-12312007-012842, title = "Discrete Mechanical Interpolation of Keyframes", year = "2008", url = "https://resolver.caltech.edu/CaltechETD:etd-12312007-012842", id = "record", doi = "10.7907/A1Y4-9054" } @other{https://resolver.caltech.edu/CaltechETD:etd-05292007-100432, title = "HOLA: a High-Order Lie Advection of Discrete Differential Forms With Applications in Fluid Dynamics", year = "2007", url = "https://resolver.caltech.edu/CaltechETD:etd-05292007-100432", id = "record", doi = "10.7907/0TJH-M778" } @other{https://resolver.caltech.edu/CaltechETD:etd-05212007-160139, title = "A Variational Approach to Eulerian Geometry Processing of Surfaces and Foliations", year = "2007", url = "https://resolver.caltech.edu/CaltechETD:etd-05212007-160139", id = "record", doi = "10.7907/Q51A-W257" }