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Approximate solution of nonlinear hyperbolic equations with homogeneous jump conditions

open access: yesJournal of Numerical Analysis and Approximation Theory, 2019
We present the error analysis of class of second order nonlinear hyperbolic interface problem where the spatial and time discretizations are based on finite element method and linearized backward difference scheme respectively. Both semi discrete and
Matthew Olayiwola Adewole
doaj   +7 more sources

Challenges and Progress in Computational Geophysical Fluid Dynamics in Recent Decades

open access: yesAtmosphere, 2023
Here we present the numerical methods, applications, and comparisons with observations and previous studies. It includes numerical analyses of shallow water equations, Sun’s scheme, and nonlinear model simulations of a dam break, solitary Rossby wave ...
Wen-Yih Sun
doaj   +1 more source

Solving one- and two-dimensional unsteady Burgers' equation using fully implicit finite difference schemes

open access: yesArab Journal of Basic and Applied Sciences, 2019
This paper introduces new fully implicit numerical schemes for solving 1D and 2D unsteady Burgers' equation. The non-linear Burgers' equation is discretized in the spatial direction by using second order Finite difference method which converts the ...
N. A. Mohamed
doaj   +1 more source

Fast eikonal phase retrieval for high-throughput beamlines. [PDF]

open access: yesJ Synchrotron Radiat
Mirone A   +5 more
europepmc   +1 more source

Computational Oncology of Chemotaxis-Driven Tumour-Immune Spatial Patterning and Stability. [PDF]

open access: yesBioengineering (Basel)
Liu Z   +6 more
europepmc   +1 more source

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