Results 21 to 30 of about 173 (43)
, 2019 Two combined numerical methods for solving semilinear differential-algebraic equations (DAEs) are obtained and their convergence is proved. The comparative analysis of these methods is carried out and conclusions about the effectiveness of their ...
Filipkovska, M. S.
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A Convergent Scheme for Solving Initial Value Problems with Polynomial and Exponential Functions [PDF]
, 2021 This paper presents the development of a convergent numerical scheme for the solution of initial value problems of first order ordinary differential equations.
Khalil, Sobia +2 more
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Uniform approximation and explicit estimates for the prolate spheroidal wave functions
, 2014 For fixed $c,$ Prolate Spheroidal Wave Functions (PSWFs), denoted by $\psi_{n, c},$ form an orthogonal basis with remarkable properties for the space of band-limited functions with bandwith $c$.
Bonami, Aline, Karoui, Abderrazek
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On Bakhvalov-type meshes for a linear convection-diffusion problem in 2D [PDF]
, 2021 For singularly perturbed two-dimensional linear convection-diffusion problems, although optimal error estimates of an upwind finite difference scheme on Bakhvalov-type meshes are widely known, the analysis remains unanswered (Roos and Stynes in Comput ...
Mai, Vinh Quang, Nhan, Thai Anh
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Error analysis of trigonometric integrators for semilinear wave equations [PDF]
, 2015 An error analysis of trigonometric integrators (or exponential integrators) applied to spatial semi-discretizations of semilinear wave equations with periodic boundary conditions in one space dimension is given.
Gauckler, Ludwig
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Stiff oscillatory systems, delta jumps and white noise [PDF]
, 1998 Two model problems for stiff oscillatory systems are introduced. Both comprise a linear superposition of N >> 1 harmonic oscillators used as a forcing term for a scalar ODE.
Cano, B. +3 more
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, 2010 In our preceding paper, we have proposed an algorithm for obtaining finite-norm solutions of higher-order linear ordinary differential equations of the Fuchsian type [\sum_m p_m (x) (d/dx)^m] f(x) = 0 (where p_m is a polynomial with rational-number ...
Brenner S.C. +5 more
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On global error estimation and control for initial value problems [PDF]
, 2005 This paper addresses global error estimation and control for initial value problems for ordinary differential equations. The focus lies on a comparison between a novel approach based on the adjoint method combined with a small sample statistical ...
Lang, J. (Jens), Verwer, J.G. (Jan)
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Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds
, 2023 For projection-based linear-subspace model order reduction (MOR), it is well known that the Kolmogorov n-width describes the best-possible error for a reduced order model (ROM) of size n.
Buchfink, Patrick +2 more
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Geometry Equilibration of Crystalline Defects in Quantum and Atomistic Descriptions
, 2018 We develop a rigorous framework for modelling the geometry equilibration of crystalline defects. We formulate the equilibration of crystal defects as a variational problems on a discrete energy space and establish qualitatively sharp far-field decay ...
Chen, Huajie +2 more
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