Results 161 to 170 of about 2,057 (240)

Lie Symmetry Methods for Multidimensional Linear, Parabolic PDES and Diffusions [PDF]

In this paper we introduce methods based upon Lie symmetry analysis for the construction of explicit fundamental solutions of multidimensional parabolic PDEs.
Mark Craddock, Kelly A. Lennox
core  

Learning variable-order time fractional diffusion equations using Physics-Informed Neural Networks. [PDF]

PLoS One
Ren L, Jin S.
europepmc   +1 more source

Implementing physics-informed neural networks with deep learning for differential equations. [PDF]

Front Artif Intell
Emmert-Streib F, Tripathi S, Farea A, Holzinger A.   +3 more
europepmc   +1 more source

Fast automated adjoints for spectral PDE solvers. [PDF]

Proc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc   +1 more source

Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Zimmermann P.
europepmc   +1 more source

Fast Numerical Solvers for Parameter Identification Problems in Mathematical Biology. [PDF]

J Sci Comput
Benková K, Pearson JW, Ptashnyk M.
europepmc   +1 more source

Data-driven, ML-assisted approaches to problem well-posedness. [PDF]

PNAS Nexus
Bertalan T, Kevrekidis GA, Koronaki ED, Mishra S, Rebrova E, Kevrekidis IG.   +5 more
europepmc   +1 more source

Parameter identification for PDEs using sparse interior data and a recurrent neural network. [PDF]

Sci Rep
Long J, Khaliq A, Furati KM.
europepmc   +1 more source

An Inverse Signorini Obstacle Problem. [PDF]

Arch Ration Mech Anal
de Hoop MV, Lassas M, Lu J, Oksanen L, Zhao Z.   +4 more
europepmc   +1 more source

Simultaneous Numerical Determination of Two Time-dependent Coefficients in Second Order Parabolic Equation With Nonlocal Initial and Boundary Conditions. [PDF]

F1000Res
A J Al-Shatrah M, Sabah Hussein M.
europepmc   +1 more source