Physics-guided, physics-informed, and physics-encoded neural networks and operators in scientific computing: Fluid and solid mechanics
SA Faroughi, NM Pawar… - Journal of …, 2024 - asmedigitalcollection.asme.org
Advancements in computing power have recently made it possible to utilize machine
learning and deep learning to push scientific computing forward in a range of disciplines …
learning and deep learning to push scientific computing forward in a range of disciplines …
[图书][B] Stochastic partial differential equations: an introduction
This book provides an introduction to the theory of stochastic partial differential equations
(SPDEs) of evolutionary type. SPDEs are one of the main research directions in probability …
(SPDEs) of evolutionary type. SPDEs are one of the main research directions in probability …
[图书][B] Fokker–Planck–Kolmogorov Equations
This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …
elliptic and parabolic equations for measures, the main examples of which are Fokker …
[图书][B] Nonlinear differential equations of monotone types in Banach spaces
V Barbu - 2010 - books.google.com
Page 1 Viorel Barbu SPRINGER MONOGRAPHS IN MATHEMATICS Nonlinear Differential
Equations of Monotone Types in Banach Spaces Springer Page 2 Viorel Barbu SPRINGER …
Equations of Monotone Types in Banach Spaces Springer Page 2 Viorel Barbu SPRINGER …
[图书][B] Representations of algebraic groups
JC Jantzen - 2003 - books.google.com
Now back in print by the AMS, this is a significantly revised edition of a book originally
published in 1987 by Academic Press. This book gives the reader an introduction to the …
published in 1987 by Academic Press. This book gives the reader an introduction to the …
Elliptic and parabolic equations for measures
VI Bogachev, NV Krylov… - Russian Mathematical …, 2009 - iopscience.iop.org
This article gives a detailed account of recent investigations of weak elliptic and parabolic
equations for measures with unbounded and possibly singular coefficients. The existence …
equations for measures with unbounded and possibly singular coefficients. The existence …
[图书][B] A concise course on stochastic partial differential equations
C Prévôt, M Röckner - 2007 - Springer
These lectures will concentrate on (nonlinear) stochastic partial differential equations
(SPDEs) of evolutionary type. All kinds of dynamics with stochastic influence in nature or …
(SPDEs) of evolutionary type. All kinds of dynamics with stochastic influence in nature or …
Stochastic optimal control in infinite dimension
The main objective of this book is to give an overview of the theory of Hamilton–Jacobi–
Bellman (HJB) partial differential equations (PDEs) in infinite-dimensional Hilbert spaces …
Bellman (HJB) partial differential equations (PDEs) in infinite-dimensional Hilbert spaces …
[图书][B] An introduction to infinite-dimensional analysis
G Da Prato - 2006 - books.google.com
In this revised and extended version of his course notes from a 1-year course at Scuola
Normale Superiore, Pisa, the author provides an introduction–for an audience knowing …
Normale Superiore, Pisa, the author provides an introduction–for an audience knowing …
[图书][B] Numerical methods for stochastic partial differential equations with white noise
Z Zhang, GE Karniadakis - 2017 - Springer
In his forward-looking paper [374] at the conference “Mathematics Towards the Third
Millennium,” our esteemed colleague at Brown University Prof. David Mumford argued that …
Millennium,” our esteemed colleague at Brown University Prof. David Mumford argued that …