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Numerical Schemes for Signature Kernels
SIAM Journal on Numerical AnalysisSignature kernels have emerged as a powerful tool within kernel methods for sequential data. In the paper "The Signature Kernel is the solution of a Goursat PDE", the authors identify a kernel trick that demonstrates that, for continuously differentiable paths, the signature kernel satisfies a Goursat problem for a hyperbolic partial differential ...
Cass, Thomas +2 more
openaire +5 more sources
Mathematical Modelling and Analysis, 2014 A 2 + 1 dimensional PDE traveling wave model describing spatial-lateral dynamics of edge-emitting broad area semiconductor devices is considered. A numerical scheme based on a split-step Fourier method is presented.
Mindaugas Radziunas, Raimondas Čiegis
doaj +1 more source
MHDSTS: a new explicit numerical scheme for simulations of partially ionised solar plasma [PDF]
Astronomy & Astrophysics, 2018 The interaction of plasma with magnetic field in the partially ionised solar atmosphere is frequently modelled via a single-fluid approximation, which is valid for the case of a strongly coupled collisional media, such as solar photosphere and low ...
P. A. Gonz'alez-Morales +3 more
semanticscholar +1 more source
Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model [PDF]
, 2013 We present an all speed scheme for the Euler-Korteweg model. We study a semi-implicit time-discretisation which treats the terms, which are stiff for low Mach numbers, implicitly and thereby avoids a dependence of the timestep restriction on the Mach ...
Giesselmann, Jan
core +1 more source
A numerical scheme for non-Newtonian fluids and plastic solids under the GPR model [PDF]
Journal of Computational Physics, 2018 A method for modeling non-Newtonian fluids (dilatants and pseudoplastics) by a power law under the Godunov-Peshkov-Romenski model is presented, along with a new numerical scheme for solving this system.
H. Jackson, N. Nikiforakis
semanticscholar +1 more source
Accurate Sharp Interface Scheme for Multimaterials [PDF]
, 2012 We present a method to capture the evolution of a contact discontinuity separating two different material. A locally non-conservative scheme allows an accurate and stable simulation while the interface is kept sharp.
GORSSE, Yannick +3 more
core
Numerical stabilization of the Stokes problem in vorticity–velocity–pressure formulation [PDF]
, 2007 We work on a vorticity, velocity and pressure formulation of the bidimensional Stokes problem for incompressible fluids. In previous papers, the authors have developed a natural implementation of this scheme.
Salaün, Michel, Salmon, Stéphanie
core +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
wiley +1 more source
Molecules, 2021 Human immunodeficiency virus (HIV) is a life life-threatening and serious infection caused by a virus that attacks CD4+ T-cells, which fight against infections and make a person susceptible to other diseases.
Zahir Shah +4 more
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider +15 more
wiley +1 more source