Results 41 to 50 of about 1,702 (261)
A Full Space-Time Convergence Order Analysis of Operator Splittings for Linear Dissipative Evolution Equations [PDF]
Communications in Computational Physics, 2016 The Douglas--Rachford and Peaceman--Rachford splitting methods are common choices for temporal discretizations of evolution equations. In this paper we combine these methods with spatial discretizations fulfilling some easily verifiable criteria.
Hansen, Eskil, Henningsson, Erik
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
On Partially Ordering Operator Algebras [PDF]
, 1967 In this paper, we consider linear spaces and algebras with real scalars. It is well known that if X is a Banach space and is the set of all bounded linear operators which map X into itself, then is a Banach algebra.
Ralph Demarr
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Third-Order Tensors as Linear Operators on a Space of Matrices
Linear Algebra and its Applications, 2010 AbstractA recently proposed tensor-tensor multiplication (M.E. Kilmer, C.D. Martin, L. Perrone, A Third-Order Generalization of the Matrix SVD as a Product of Third-Order Tensors, Tech. Rep. TR-2008-4, Tufts University, October 2008) opens up new avenues to understanding the action of n×n×n tensors on a space of n×n matrices.
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Newton methods on Banach spaces with a convergence structure and applications [PDF]
, 2000 In this study, we use inexact Newton-like methods to find solutions of nonlinear operator equations on Banach spaces with a convergence structure. Our technique involves the introduction of a generalized norm as an operator from a linear space into a ...
Argyros, I.K.
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Topological properties and matrix transformations of certain ordered generalized sequence spaces [PDF]
, 1995 In this note, we carry out investigations related to the mixed impact of ordering and topological structure of a locally convex solid Riesz space (X,τ) and a scalar valued sequence space λ, on the vector valued sequence space λ(X) which is formed and ...
Manjul Gupta, Kalika Kaushal
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Linear Difference Equation of Second Order in a Banach Space and Operators Splitting
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2017 Summary: In differential and difference equations classical textbooks, the \(n\)-th order differential and difference equations reducing by standard substitution to first-order differential and difference equations system is described. Each of the cohering equations can be written in the operator form.
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Complete second order linear differential operator equations in Hilbert space and applications in hydrodynamics [PDF]
Transactions of the American Mathematical Society, 2004 We study the Cauchy problem for a complete second order linear differential operator equation in a Hilbert space H
Kopachevsky, N. D. +3 more
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