Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations
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DOI: 10.1007/s00211-017-0868-8
Abstract: Maxwell’s equations are considered with transparent boundary conditions, for initial conditions and inhomogeneity having support in a bounded, not necessarily convex three-dimensional domain or in a collection of such domains. The numerical method only involves… read more here.
Keywords: stable convergent; method; maxwell equations; convergent fully ... See more keywords
Stable and Convergent Finite Difference Schemes on NonuniformTime Meshes for Distributed-Order Diffusion Equations
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DOI: 10.3390/math9161975
Abstract: In this work, stable and convergent numerical schemes on nonuniform time meshes are proposed, for the solution of distributed-order diffusion equations. The stability and convergence of the numerical methods are proven, and a set of… read more here.
Keywords: stable convergent; order diffusion; distributed order; diffusion equations ... See more keywords
Stable and Convergent High-Order Numerical Schemes for Parabolic Integro-Differential Equations with Small Coefficients
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DOI: 10.3390/sym17091475
Abstract: Singularly perturbed integro-partial differential equations with reaction–diffusion behavior present significant challenges due to boundary layers arising from small perturbation parameters, which complicate the development of accurate and efficient numerical schemes for physical and engineering models.… read more here.
Keywords: stable convergent; differential equations; high order; order ... See more keywords