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1-10 of 16 reviews |
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 Uniformly convergent hybrid schemes for solutions and derivatives in quasilinear singularly perturbed BVPs
Zheng Q., Li X., Gao Y. Applied Numerical Mathematics 91(C): 46-59, 2015. Type: Article
A singularly perturbed boundary-value problem is a boundary-value problem that contains a small parameter whose value cannot be approximated by setting to zero. The one-dimensional singularly perturbed quasilinear convection-diffusion ...
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Jul 27 2015 |
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An adaptive mesh method for 1D hyperbolic conservation laws
Hu F., Wang R., Chen X., Feng H. Applied Numerical Mathematics 91(C): 11-25, 2015. Type: Article
The essentially nonoscillatory (ENO) and weighted essentially nonoscillatory (WENO) schemes are methods used to represent the meshes used to solve partial differential equations when there is an abrupt change in conditions governing th...
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Jul 10 2015 |
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Approximation of the matrix exponential operator by a structure-preserving block Arnoldi-type method
Archid A., Bentbib A. Applied Numerical Mathematics 7537-47, 2014. Type: Article
The objective of this paper is to provide an algorithm for efficient estimation of the exp(A)V operator applied to particular types of matrices, namely a large, square, Hamiltonian matrix ...
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Aug 4 2014 |
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High-order symmetric multistep cosine methods
Cano B., Moreta M. Applied Numerical Mathematics 6630-44, 2013. Type: Article
Rather special initial value problems for systems of second-order differential equations of the type Ÿ(t) = -Ω2Y(t) + G(t...
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Jun 30 2014 |
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Asymptotically exact discontinuous Galerkin error estimates for linear symmetric hyperbolic systems
Adjerid S., Weinhart T. Applied Numerical Mathematics 76101-131, 2014. Type: Article
Adaptive methods allow for higher accuracy without uniformly refining the mesh. Thus, they are more economical in terms of computer time and storage. In order to decide which elements to refine, one requires an a posteriori error estim...
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May 19 2014 |
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On convergence of the penalty method for unilateral contact problems
Chouly F., Hild P. Applied Numerical Mathematics 6527-40, 2013. Type: Article
Chouly and Hild consider the contact problem of an elastic 2D and 3D body. Small strains are assumed and the contact is a straight line segment in 2D and a polygon in 3D. They reformulate the variational inequality using the penalty me...
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Aug 9 2013 |
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An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs: Part II: convergence results
GonzáLez-Pinto S., HernáNdez-Abreu D., Montijano J. Applied Numerical Mathematics 62(10): 1349-1360, 2012. Type: Article
Fully implicit Runge-Kutta methods play an especially important role in the solution of stiff and non-stiff differential equation systems and differential algebraic equations. This paper deals with a new class of s s...
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Feb 4 2013 |
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Surprising computations
Ascher U. Applied Numerical Mathematics 62(10): 1276-1288, 2012. Type: Article
A computer simulation of differential equations is a computer program applied to solve differential equations using numerical methods, such as the finite difference, finite volume, and finite element methods. Simulators are indispensab...
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Dec 18 2012 |
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Parallel solution of mixed finite element/spectral element systems for convection-diffusion equations on non-matching grids
Boursier I., Tromeur-Dervout D., Vassilevski Y. Applied Numerical Mathematics 60(11): 1131-1147, 2010. Type: Article
The Schwarz domain decomposition (DD) method is widely used in the parallel solution of partial differential equations. In 2001, Garbey and Tromeur-Dervout introduced the idea of Aitken acceleration on the classical additive Schwarz DD...
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Feb 11 2011 |
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Sensitivity of RBF interpolation on an otherwise uniform grid with a point omitted or slightly shifted
Boyd J., Bridge L. Applied Numerical Mathematics 60(7): 659-672, 2010. Type: Article
Interpolating or approximating functions using radial basis functions (RBFs) with centers on a regular or irregular grid has been an important topic for many years due to its use in many applications, such as the linear combination of ...
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Aug 31 2010 |
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