Results 41 to 50 of about 7,385 (298)

Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations

, 2011
By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke, Peter E. Kloeden, Kloeden, Peter E., Mao, Xuerong, Fuke Wu, Xuerong Mao   +5 more
core   +1 more source

Extrapolated Implicit–Explicit Runge–Kutta Methods

Mathematical Modelling and Analysis, 2014
We investigate a new class of implicit–explicit singly diagonally implicit Runge–Kutta methods for ordinary differential equations with both non-stiff and stiff components. The approach is based on extrapolation of the stage values at the current step by
Angelamaria Cardone, Zdzislaw Jackiewicz, Adrian Sandu, Hong Zhang   +3 more
doaj   +1 more source

Almost sure exponential stability of numerical solutions for stochastic delay differential equations

, 2010
Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
core   +1 more source

Numerical Analysis of Q-Switched Erbium Ion Doped Fluoride Glass Fiber Laser Operation Including Spontaneous Emission

Applied Sciences, 2018
Partial differential equations are solved to perform a spatiotemporal analysis of Q-switched operation of a fluoride fiber laser doped with erbium ions.
Sławomir Sujecki
doaj   +1 more source

Hospitalization Through Families’ Eyes: Comparing Inpatient Care Quality for Children With Sickle Cell Disease and Cystic Fibrosis in Canada

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Sickle cell disease (SCD) is a chronic, inherited hemoglobinopathy that requires frequent hospitalization for disease‐related complications. Canadian data on inpatient care is limited. This study compared caregiver‐reported hospital experiences of children with SCD to those with cystic fibrosis (CF), a chronic, autosomal recessive ...
Hailey M. Zwicker, Kyle Kemp, Perri Tutelman, Sharon H. J. Hou, Paul Fairie, Maria Santana, Gregory M. T. Guilcher, Taryn Fay‐McClymont, Glenda Bendiak, Wendy Pelletier, Nicola Wright, Fiona Schulte   +11 more
wiley   +1 more source

Some Remarks on a Variational Method for Stiff Differential Equations

Mathematics, 2019
We have recently proposed a variational framework for the approximation of systems of differential equations. We associated, in a natural way, with the original problem, a certain error functional. The discretization is based on standard descent schemes,
Sergio Amat, María José Legaz, Pablo Pedregal   +2 more
doaj   +1 more source

Heterogeneity in the Global Practice of Central Nervous System Staging in Pediatric Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási, Bernadett Borbála Huszti, Gábor Barna, Marko Kavcic, Janez Jazbec, Lennart Lenk, Vera Münch, Sophia Polychronopoulou, Ágnes Márk, Maria Thastrup, Lüder H. Meyer, Kjeld Schmiegelow, Cornelia Eckert, Christina Halsey, Dániel J. Erdélyi   +14 more
wiley   +1 more source

A COMPUTATIONAL STRATEGY OF VARIABLE STEP, VARIABLE ORDER FOR SOLVING STIFF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS [PDF]

, 2021
This research study focuses on a computational strategy of variable step, variable order (CSVSVO) for solving stiff systems of ordinary differential equations.
Ogunniyi, P.O., OGBU, I. F., Oghonyon, J. G.   +2 more
core   +1 more source

A New Method for Numerical Integration of Higher-Order Ordinary Differential Equations Without Losing the Periodic Responses

Frontiers in Built Environment, 2021
A new numerical method is presented for the solution of initial value problems described by systems of N linear ordinary differential equations (ODEs). Using the state-space representation, a differential equation of order n > 1 is transformed into a ...
John T. Katsikadelis
doaj   +1 more source

Efficacy and Safety Analysis of Roxarestat in Regulating Renal Anemia in Patients on Maintenance Hemodialysis

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Objective To compare the efficacy and safety of roxarestat versus recombinant human erythropoietin (rhEPO) in the management of renal anemia in patients undergoing maintenance hemodialysis. Methods This was a prospective, open‐label, randomized controlled trial.
Lingling Chen, Junjie Zhu, Qiaonan Ge
wiley   +1 more source