Some DG Methods for Singularly Perturbed Volterra Integro-Differential Equations

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:wang9230c
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  To our knowledge,there are much less works on the uniform convergence of numerical methods for singularly perturbed Volterra integrodifferential equations(VIDES)compared with those on singularly perturbed differential equations..In this talk,some DG methods are implemented for solving singularly perturbed Volterra VIDES.Some interesting phenomenon are observed from our numerical experiments and then verified theoretically.More importantly,combined with some local grid-refinement strategies,the uniform convergence or super-convergence of our approaches are rigorously.
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