Numerical methods for viscoelastic fluid flows

MA Alves, PJ Oliveira, FT Pinho - Annual Review of Fluid …, 2021 - annualreviews.org
Complex fluids exist in nature and are continually engineered for specific applications
involving the addition of macromolecules to a solvent, among other means. This imparts …

A multi-decadal view of seismic methods for detecting precursors of magma movement and eruption

BA Chouet, RS Matoza - Journal of Volcanology and Geothermal Research, 2013 - Elsevier
With the emergence of portable broadband seismic instrumentation, availability of digital
networks with wide dynamic range, and development of new powerful analysis techniques …

Sparse matrix multiplication in a record-low power self-rectifying memristor array for scientific computing

J Li, S Ren, Y Li, L Yang, Y Yu, R Ni, H Zhou, H Bao… - Science …, 2023 - science.org
Memristor-enabled in-memory computing provides an unconventional computing paradigm
to surpass the energy efficiency of von Neumann computers. Owing to the limitation of the …

[图书][B] Computer methods for ordinary differential equations and differential-algebraic equations

UM Ascher, LR Petzold - 1998 - SIAM
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations:
Back Matter Page 1 Bibliography [1] VI Arnold. Mathematical Methods of Classical Mechanics …

[图书][B] Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems

RJ LeVeque - 2007 - SIAM
This book evolved from lecture notes developed over the past 20+ years of teaching this
material, mostly in Applied Mathematics 585–6 at the University of Washington. The course …

[图书][B] Numerical solution of time-dependent advection-diffusion-reaction equations

W Hundsdorfer, JG Verwer - 2013 - books.google.com
This book deals with numerical methods for solving partial differential equa tions (PDEs)
coupling advection, diffusion and reaction terms, with a focus on time-dependency. A …

Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function

A Quarteroni, T Lassila, S Rossi… - Computer Methods in …, 2017 - Elsevier
Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

UM Ascher, SJ Ruuth, RJ Spiteri - Applied Numerical Mathematics, 1997 - Elsevier
Implicit-explicit (IMEX) linear multistep time-discretization schemes for partial differential
equations have proved useful in many applications. However, they tend to have undesirable …

[图书][B] High-order methods for incompressible fluid flow

MO Deville, PF Fischer, EH Mund - 2002 - books.google.com
High-order numerical methods provide an efficient approach to simulating many physical
problems. This book considers the range of mathematical, engineering, and computer …

Fourth-order time-stepping for stiff PDEs

AK Kassam, LN Trefethen - SIAM Journal on Scientific Computing, 2005 - SIAM
A modification of the exponential time-differencing fourth-order Runge--Kutta method for
solving stiff nonlinear PDEs is presented that solves the problem of numerical instability in …