Now showing items 11-20 of 35
User's Guide for LMaFit: Low-rank Matrix Fitting
This User's Guide describes the functionality and basic usage of the Matlab package LMaFit for low-rank matrix optimization. It also briefly explains the formulations and algorithms used.
Morphologically Accurate Reduced Order Modeling of Spiking Neurons
Accurately simulating neurons with realistic morphological structure and synaptic inputs requires the solution of large systems of nonlinear ordinary differential equations. We apply model reduction techniques to recover ...
Approximate Inverse Scattering Using Pseudodifferential Scaling
This thesis proposes a computationally efficient method for approximating the inverse of the normal operator arising in the linearized inverse problem for reflection seismology. The inversion of the normal operator using ...
P-Splines Using Derivative Information
Time series associated with single-molecule experiments and/or simulations contain a wealth of multiscale information about complex biochemical systems. However efficiently extracting and representing useful physical ...
Analysis of Two Mathematical Models for the Coupled Navier-Stokes/Darcy Problem
This paper introduces and analyzes two models coupling of incompressible Navier-Stokes equations with the porous media flow equations. A numerical method that uses continuous finite elements in the incompressible flow ...
PSQR: A Stable and Efficient Penalized Spline Algorithm
We introduce an algorithm for reliably computing quantities associated with several types of semiparametric mixed models in situations where the condition number on the random effects matrix is large. The algorithm is ...
A Parameter Free ADI-like Method for the Numerical Solution of Large Scale Lyapunov Equations
An algorithm is presented for constructing an approximate numerical solution to a large scale Lyapunov equation in low rank factored form. The algorithm is based upon a synthesis of an approximate power method and an ...
Getting It Right Without Knowing the Answer: Quality Control in a Large Seismic Modeling Project
Phase I of the SEAM Project will produce a variable-density acoustic synthetic survey over a 3D geological model simulating a deepwater subsalt exploration target. Due to the intended use of the data, the project places a ...
Mass Lumping For Constant Density Acoustics
Mass lumping provides an avenue for efficient time-stepping of time-dependent problems with conforming finite element discretization. Typical justifications for mass lumping use quadrature error estimates which do not hold ...
User's Guide For YALL1: Your Algorithms for L1 Optimization
This User's Guide describes the functionality and basic usage of the Matlab package YALL1 for L1 minimization. The one-for-six algorithm used in the YALL1 solver is briefly introduced in the appendix.