Results 21 to 30 of about 171 (45)
Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]
, 2015 The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
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, 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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Higher order numerical methods for solving fractional differential equations [PDF]
, 2013 The final publication is available at Springer via http://dx.doi.org/10.1007/s10543-013-0443-3In this paper we introduce higher order numerical methods for solving fractional differential equations. We use two approaches to this problem.
C. Lubich +21 more
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A Parallel Method for Population Balance Equations Based on the Method of Characteristics [PDF]
, 2012 In this paper, we present a parallel scheme to solve the population balance equations based on the method of characteristics and the finite element discretization.
Li, Yu, Lin, Qun, Xie, Hehu
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Higher order numerical method for a semilinear system of singularly perturbed differential equations [PDF]
, 2021 In this paper, a system of singularly perturbed second order semilinear differential equations with prescribed boundary conditions is considered. To solve this problem, a parameter-uniform numerical method is constructed which consists of a classical ...
Ayyadurai Tamilselvan +1 more
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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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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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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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, 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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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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