12 citations · 32 across the 8 of their papers we have counts for
8 papers
Introduction to Engineering Mathematics and Analysis: Modeling Physical Systems Using the Language of Mathematics
Brian D Wood
An introduction to applied mathematics written for students in engineering and science. Focus is on a rigorous presentation that also builds understanding by discussion, analogy, a…
A Note on the Gibbsian Representation of the Gradient of a Vector Field
Brian D. Wood, Peeter Joot, Stephen Whitaker
In this note, we provide a important considerations of a familiar topic: the gradient of a vector field. The gradient of a vector field is a common quantity represented in continuu…
Explicit physics-informed neural networks for non-linear upscaling closure: the case of transport in tissues
Ehsan Taghizadeh, Helen M. Byrne, Brian D. Wood
In this work, we use a combination of formal upscaling and data-driven machine learning for explicitly closing a nonlinear transport and reaction process in a multiscale tissue. Th…
A hierarchy of models for simulating experimental results from a 3D heterogeneous porous medium
Daniel Vogler, Sassan Ostvar, Rebecca Paustian +1
In this work we examine the dispersion of conservative tracers (bromide and fluorescein) in an experimentally-constructed three-dimensional dual-porosity porous medium. The medium…
Series Solutions for Orthotropic Diffusion in a Cube
Brian D. Wood, Sassan Ostvar
Analytical solutions to heat or diffusion type equations are numerous, but there are rather few explicit solutions for conditions where the thermal conductivity or diffusion tensor…
Interfacial Phenomena and Natural Local Time
Thilanka Appuhamillage, Vrushali Bokil, Enrique Thomann +2
This article addresses a modification of local time for stochastic processes, to be referred to as `natural local time'. It is prompted by theoretical developments arising in mathe…