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A hybrid interpolation ACA accelerated method for parabolic boundary integral operators
Author: Ambikasaran, Sivaram and Khan, Ritesh and Tausch, Johannes and Wang, Sihao
Journal: arXiv preprint arXiv:2408.04080
Year: 2025
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A fast uncertainty quantification methodology and sampling technique for joint probability distribution of the Arrhenius rate expression: a case study applied to H2/CO kinetic mechanism
Author: Panchal, Krunal and Vasudevan, Vaisakh and Ambikasaran, Sivaram and Narayanaswamy, Krithika
Journal: Combustion Theory and Modelling
Volume: 28
Page: 411--440
Year: 2024
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HODLR3D: hierarchical matrices for N-body problems in three dimensions
Author: Gujjula, Vaishnavi and Ambikasaran, Sivaram and others
Journal: Numerical Algorithms
Page: 1--38
Year: 2024
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HODLRdD: A new black-box fast algorithm for N-body problems in d-dimensions with guaranteed error bounds: Applications to integral equations and support vector machines
Author: Khan, Ritesh and Kandappan, VA and Ambikasaran, Sivaram
Journal: Journal of Computational Physics
Volume: 501
Page: 112786
Year: 2024
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Algebraic Inverse Fast Multipole Method: A fast direct solver that is better than HODLR based fast direct solver
Author: Gujjula, Vaishnavi and Ambikasaran, Sivaram
Journal: Journal of Computational Physics
Volume: 497
Page: 112627
Year: 2023
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HODLR2D: A new class of Hierarchical matrices
Author: Kandappan, V A and Gujjula, V and Ambikasaran, S
Journal: SIAM Journal on Scientific Computing
Volume: 45
Page: 2382--2408
Year: 2023
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A New Directional Algebraic Fast Multipole Method Based Iterative Solver for the Lippmann-Schwinger Equation Accelerated with HODLR Preconditioner
Author: Gujjula, Vaishnavi and Ambikasaran, Sivaram
Journal: Communications in Computational Physics
Volume: 32
Page: 1061--1093
Year: 2022
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A data-driven framework to predict ignition delays of straight-chain alkanes
Author: Rajubhai Rana, Pragneshkumar and Narayanaswamy, Krithika and Ambikasaran, Sivaram
Journal: Combustion Theory and Modelling
Volume: 26
Page: 943--967
Year: 2022
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What every computational mathematician should know
Author: Ambikasaran, Sivaram
Journal: Journal of Chennai Academy of Sciences
Volume: 3
Page: 55--71
Year: 2020
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Hodlrlib: A library for hierarchical matrices
Author: Ambikasaran, Sivaram and Singh, Karan Raj and Sankaran, Shyam Sundar
Journal: Journal of Open Source Software
Volume: 4
Page: 1167
Year: 2019
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celerite: Scalable 1D Gaussian Processes in C++
Author: Foreman-Mackey, D and Agol, E and Ambikasaran, S and Angus, R
Journal: Python, and Julia
Year: 2017
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Fast and scalable Gaussian process modeling with applications to astronomical time series
Author: Foreman-Mackey, Daniel and Agol, Eric and Ambikasaran, Sivaram and Angus, Ruth
Journal: The Astronomical Journal
Volume: 154
Page: 220
Year: 2017
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celerite: Scalable 1D Gaussian Processes in C++, Python, and Julia
Author: Foreman-Mackey, Daniel and Agol, Eric and Ambikasaran, Sivaram and Angus, Ruth
Journal: Astrophysics Source Code Library
Page: ascl--1709
Year: 2017
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Fast symmetric factorization of hierarchical matrices with applications
Author: Ambikasaran, Sivaram and O'Neil, Michael and Singh, Karan Raj
Journal: arXiv preprint arXiv:1405.0223
Year: 2016
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A fast block low-rank dense solver with applications to finite-element matrices
Author: Aminfar, Amirhossein and Ambikasaran, Sivaram and Darve, Eric
Journal: Journal of Computational Physics
Volume: 304
Page: 170--188
Year: 2016
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Fast, adaptive, high-order accurate discretization of the Lippmann--Schwinger equation in two dimensions
Author: Ambikasaran, Sivaram and Borges, Carlos and Imbert-Gerard, Lise-Marie and Greengard, Leslie
Journal: SIAM Journal on Scientific Computing
Volume: 38
Page: A1770--A1787
Year: 2016
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An accurate, fast, mathematically robust, universal, non-iterative algorithm for computing multi-component diffusion velocities
Author: Ambikasaran, Sivaram and Narayanaswamy, Krithika
Journal: Proceedings of the Combustion Institute
Volume: 36
Year: 2016
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Generalized Rybicki Press algorithm
Author: Ambikasaran, Sivaram
Journal: Numerical Linear Algebra with Applications
Year: 2015
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Fast Direct Methods for Gaussian Processes
Author: Ambikasaran, Sivaram and Foreman-Mackey, Daniel and Greengard, Leslie and Hogg, David W and O'Neil, Michael
Journal: IEEE Transactions on Pattern Analysis and Machine Intelligence
Year: 2015
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A Kalman filter powered by H\^2-matrices for quasi-continuous data assimilation problems
Author: Li, Judith Y and Ambikasaran, Sivaram and Darve, Eric F and Kitanidis, Peter K
Journal: Water Resources Research
Volume: 50
Page: 3734--3749
Year: 2014
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The inverse fast multipole method
Author: Ambikasaran, Sivaram and Darve, Eric
Journal: arXiv preprint arXiv:1407.1572
Year: 2014
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A fast direct solver for high frequency scattering from a large cavity in two dimensions
Author: Lai, Jun and Ambikasaran, Sivaram and Greengard, Leslie F
Journal: SIAM Journal on Scientific Computing
Volume: 36
Page: B887--B903
Year: 2014
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Hydrogeophysical data assimilation using a fast Kalman filter for managed aquifer recharge and recovery
Author: Lee, Jonghyun and Ambikasaran, Sivaram and Kitanidis, Peter K and Illangasekare, Tissa H and Smits, Kathleen M
Journal: AGU Fall Meeting Abstracts
Volume: 2013
Page: H51G--1281
Year: 2013
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Fast algorithms for dense numerical linear algebra and applications
Author: Ambikasaran, Sivaram
Journal: Stanford thesis
Year: 2013
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Fast algorithms for Bayesian inversion
Author: Ambikasaran, Sivaram and Saibaba, Arvind K and Darve, Eric F and Kitanidis, Peter K
Journal: Computational Challenges in the Geosciences
Page: 101--142
Year: 2013
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Large-scale stochastic linear inversion using hierarchical matrices: Illustrated with an application to crosswell tomography in seismic imaging
Author: Ambikasaran, Sivaram and Li, Judith Yue and Kitanidis, Peter K and Darve, Eric
Journal: Computational Geosciences
Volume: 17
Page: 913--927
Year: 2013
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An O(N log N) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices
Author: Ambikasaran, Sivaram and Darve, Eric
Journal: Journal of Scientific Computing
Volume: 57
Page: 477--501
Year: 2013
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Deterministic matrices matching the compressed sensing phase transitions of Gaussian random matrices
Author: Monajemi, Hatef and Jafarpour, Sina and Gavish, Matan and Stat 330/CME 362 Collaboration and Donoho, David L and Ambikasaran, Sivaram and Bacallado, Sergio and Bharadia, Dinesh and Chen, Yuxin and Choi, Young and others
Journal: Proceedings of the National Academy of Sciences
Volume: 110
Page: 1181--1186
Year: 2013
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Application of Hierarchical Matrices to Linear Inverse Problems in Geostatistics
Author: Saibaba, AK and Ambikasaran, Sivaram and Yue Li, J and Kitanidis, PK and Darve, EF
Journal: Oil & Gas Science and Technology--Revue d’IFP Energies nouvelles
Volume: 67
Page: 857--875
Year: 2012
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Untruncated infinite series superposition method for accurate flexural analysis of isotropic/orthotropic rectangular plates with arbitrary edge conditions
Author: Bhaskar, K and Ambikasaran, Sivaram
Journal: Composite Structures
Volume: 83
Page: 83--92
Year: 2008
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