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1-10 of 33 reviews |
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A convergence analysis of the inexact simplified Jacobi--Davidson algorithm for polynomial eigenvalue problems
Zhao T. Journal of Scientific Computing 75(3): 1207-1228, 2018. Type: Article
Sleijpen and van der Vorst introduced the Jacobi--Davidson (JD) method [1] to find eigenvalues in the interior of the spectrum of a real or complex large and sparse matrix. For generalized eigenvalue problems, Sleijpen et al. ...
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Dec 20 2018 |
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On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method
Amat S., Li Z., Ruiz J. Journal of Scientific Computing 75(3): 1500-1534, 2018. Type: Article
Linear algorithms for the approximation of smooth functions are stable and convergent, but if the functions are piecewise continuous then we encounter diffusion and the Gibbs effect [1]....
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Dec 6 2018 |
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A computational global tangential Krylov subspace method for model reduction of large-scale MIMO dynamical systems
Bentbib A., Jbilou K., Kaouane Y. Journal of Scientific Computing 75(3): 1614-1632, 2018. Type: Article
The authors use a very sophisticated tool to solve a very old problem of model order reduction. They compare the performance of their result with several benchmark datasets of high academic interest. As referenced in the paper, researc...
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Oct 22 2018 |
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Higher-order adaptive finite difference methods for fully nonlinear elliptic equations
Froese Hamfeldt B., Salvador T. Journal of Scientific Computing 75(3): 1282-1306, 2018. Type: Article
The authors extend Hamfeldt’s work [1] to solve a class of fully nonlinear degenerate elliptic partial differential problems. Hamfeldt previously developed a meshfree finite difference scheme for the weak form of the problem....
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Aug 31 2018 |
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Ordered line integral methods for computing the quasi-potential
Dahiya D., Cameron M. Journal of Scientific Computing 75(3): 1351-1384, 2018. Type: Article
This paper provides a detailed study of ordered line integral methods (OLIMs), “a new family of methods for computing the quasi-potential on a regular mesh.” In the systems behavior field, “the quasi-poten...
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Aug 3 2018 |
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High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations
Baffet D., Hesthaven J. Journal of Scientific Computing 72(3): 1169-1195, 2017. Type: Article
The numerical solution of differential equations of fractional order is a notoriously difficult and complex matter, mainly due to the nonlocality of the operators and the nonsmoothness of the exact solutions. The former leads to a very...
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Jan 30 2018 |
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A finite element method for high-contrast interface problems with error estimates independent of contrast
Guzmán J., Sánchez M., Sarkis M. Journal of Scientific Computing 73(1): 330-365, 2017. Type: Article
Guzmán et al. explain their method with a polygonal, convex, tubular domain, and an immersed interface definable with a function with the first derivative, which does not change in time. The jumps across a discontinuity are defined as ...
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Jan 24 2018 |
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An adaptive finite element method for the wave scattering with transparent boundary condition
Jiang X., Li P., Lv J., Zheng W. Journal of Scientific Computing 72(3): 936-956, 2017. Type: Article
Jiang et al. discuss the numerical solution of acoustic wave scattering by an obstacle in two dimensions. The problem is defined on an open domain and requires a truncation of the domain (see Givoli [1]) using one of the following well...
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Dec 14 2017 |
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Finite difference/finite element methods for distributed-order time fractional diffusion equations
Bu W., Xiao A., Zeng W. Journal of Scientific Computing 72(1): 422-441, 2017. Type: Article
Bu et al. discretize the fractional diffusion equation in time using a modified compound trapezoid formula, and the Caputo fractional derivative in space is done using the L1 method, thus obtaining an unconditionally stable semi-discre...
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Aug 9 2017 |
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A weak Galerkin finite element method for a type of fourth order problem arising from fluorescence tomography
Wang C., Zhou H. Journal of Scientific Computing 71(3): 897-918, 2017. Type: Article
The finite element method (FEM) was introduced by engineers [1] for the solution of partial differential equations (PDEs) and analyzed later, for example, by Ciarlet [2]....
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Jul 3 2017 |
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