96 citations · 99 across the 7 of their papers we have counts for
7 papers
An adaptive RKHS regularization for Fredholm integral equations
Fei Lu, Miao-Jung Yvonne Ou
Regularization is a long-standing challenge for ill-posed linear inverse problems, and a prototype is the Fredholm integral equation of the first kind with additive Gaussian measur…
On applications of Herglotz-Nevanlinna functions in material sciences, I: classical theory and applications of sum rules
Annemarie Luger, Miao-Jung Yvonne Ou
This is the first part of the review article which focuses on theory and applications of Herglotz-Nevanlinna functions in material sciences. It starts with the definition of scalar…
On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory
Miao-Jung Yvonne Ou, Annemarie Luger
Part II of the review article focuses on the applications of Herglotz-Nevanlinna functions in material sciences. It presents a diverse set of applications with details and the role…
Solution of Non-negative Least Squares Inverse Problems Using a Span of Regularized Solutions, with Application to Magnetic Resonance Relaxometry
Chuan Bi, Miao-jung Yvonne Ou, Mustapha Bouhrara +1
We present a fundamentally new regularization method for the solution of the Fredholm integral equation of the first kind, in which we incorporate solutions corresponding to a rang…
MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation
Robert J. Harrison, Gregory Beylkin, Florian A. Bischoff +22
MADNESS (multiresolution adaptive numerical environment for scientific simulation) is a high-level software environment for solving integral and differential equations in many dime…
Finite Volume Modeling of Poroelastic-Fluid Wave Propagation with Mapped Grids
Grady I. Lemoine, M. Yvonne Ou
In this work we develop a high-resolution mapped-grid finite volume method code to model wave propagation in two dimensions in systems of multiple orthotropic poroelastic media and…
High-Resolution Finite Volume Modeling of Wave Propagation in Orthotropic Poroelastic Media
Grady I. Lemoine, M. Yvonne Ou, Randall J. LeVeque
Poroelasticity theory models the dynamics of porous, fluid-saturated media. It was pioneered by Maurice Biot in the 1930s through 1960s, and has applications in several fields, inc…