Results 31 to 40 of about 54,046 (227)

Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise [PDF]

open access: yesMathematics of Computation, 2017
The stochastic time-fractional equation $\partial_t \psi -\Delta\partial_t^{1-\alpha} \psi = f + \dot W$ with space-time white noise $\dot W$ is discretized in time by a backward-Euler convolution quadrature for which the sharp-order error estimate ...
M. Gunzburger, Buyang Li, Jilu Wang
semanticscholar   +1 more source

A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces

open access: yes, 2019
The closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):1943-1961, [2008]) is an embedding method developed to solve a variety of partial differential equations (PDEs) on smooth surfaces, using a closest point representation of the surface ...
Ling, L.   +3 more
core   +1 more source

Maximum Norm Analysis of an Arbitrary Number of Nonmatching Grids Method for Nonlinears Elliptic PDES

open access: yesJournal of Applied Mathematics, 2013
We provide a maximum norm analysis of a finite element Schwarz alternating method for a nonlinear elliptic PDE on an arbitrary number of overlapping subdomains with nonmatching grids.
A. Harbi
semanticscholar   +1 more source

New closed form solutions of some nonlinear pseudo-parabolic models via a new extended direct algebraic method

open access: yesInternational Journal of Mathematics and Computer in Engineering, 2023
Our investigation delves into a specific category of nonlinear pseudo-parabolic partial differential equations (PDEs) that emerges from physical models.
A. Hussain   +3 more
semanticscholar   +1 more source

Efficient and Realistic Brain Simulation: A Review and Design Guide for Memristor‐Based Approaches

open access: yesAdvanced Materials Technologies, EarlyView.
Memristor‐based emulation of Hodgkin‐Huxley neuron models is investigated, by defining the ideal device characteristics needed for accurate ion‐channel representation and reviewing existing works targeting memristive replication of biological realistic neural behavior.
Lennart Paul Liong Landsmeer   +5 more
wiley   +1 more source

Are physiological oscillations physiological?

open access: yesThe Journal of Physiology, EarlyView., 2023
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source

Assessment and Comparative Study of Free and Commercial Numerical Software Packages for Lithium‐Ion Battery Modeling

open access: yesAdvanced Theory and Simulations, EarlyView.
This study evaluates the simulation capabilities of lithium‐ion battery (LIB) electrochemical simulation software packages. The benchmark simulation results reveal the impacts of parameter sensitivity to solver performance and stability. The guidelines to troubleshooting common solver failures at high current rates lowers the steep learning curve to ...
Kenneth C. Nwanoro   +2 more
wiley   +1 more source

Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations

open access: yes, 2018
Computational costs of numerically solving multidimensional partial differential equations (PDEs) increase significantly when the spatial dimensions of the PDEs are high, due to large number of spatial grid points. For multidimensional reaction-diffusion
Chen, Shanqin   +3 more
core   +1 more source

New solitary wave solutions and stability analysis of the Benney-Luke and the Phi-4 equations in mathematical physics

open access: yesAIMS Mathematics, 2019
In this paper, we present new solitary wave solutions for the Benney-Luke equation (BLE) and Phi-4 equation (PE). The new generalized rational function method (GERFM) is used to reach such solutions. Moreover, the stability for the governing equations is
B. Ghanbari, A. Yusuf, D. Baleanu
semanticscholar   +1 more source

Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity [PDF]

open access: yesFoundations of Computational Mathematics, 2015
We analyze the recent Multi-index Stochastic Collocation (MISC) method for computing statistics of the solution of a partial differential equation (PDE) with random data, where the random coefficient is parametrized by means of a countable sequence of ...
A. Haji-Ali   +3 more
semanticscholar   +1 more source

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