A summary of numerical methods for time-dependent advection-dominated partial differential equations
Richard E. Ewing, Hong Wang
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Some Mathematical And Numerical Questions Connected With First And Second Order Time Dependent Systems Of Partial Differential Equations [PDF]
Heinz-O. Kreiss, Omar E. Ortiz
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Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome
ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon +12 more
wiley +1 more source
WF-PINNs: solving forward and inverse problems of burgers equation with steep gradients using weak-form physics-informed neural networks. [PDF]
Wang X, Yi S, Gu H, Xu J, Xu W.
europepmc +1 more source
The Vanishing Moment Method for Fully Nonlinear Second Order Partial Differential Equations: Formulation, Theory, and Numerical Analysis [PDF]
Xiaobing Feng, Michael Neilan
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ABSTRACT Objective Epilepsy is increasingly associated with immune dysregulation and inflammation. The T cell receptor (TCR), a key mediator of adaptive immunity, shows repertoire alterations in various immune‐mediated diseases. The unique TCR sequence serves as a molecular barcode for T cells, and clonal expansion accompanied by reduced overall TCR ...
Yong‐Won Shin +12 more
wiley +1 more source
A new hybrid block collocation method for solving elliptic PDEs. [PDF]
Rufai MA +3 more
europepmc +1 more source
Accelerated Progression of Gait Impairment in Parkinson's Disease and REM Sleep Without Atonia
ABSTRACT Objective People with Parkinson's disease (PD) and rapid eye movement (REM) sleep without atonia (RSWA) often have more severe gait disturbances compared to PD without RSWA. The association between the presence and expression of RSWA and the rate of progression of gait impairment in PD is unknown.
Sommer L. Amundsen‐Huffmaster +11 more
wiley +1 more source
Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]
Aghazadeh A, Lakestani M.
europepmc +1 more source
Numerical simulation of heat transfer characteristics of high temperature devices based on nonlinear partial differential equations [PDF]
Shi, Ruchuan
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