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Zeitschrift

Journal of Scientific Computing

Journal of Scientific Computing OnlineFirst articles

17.09.2018

The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for the Time Multi-term Fractional Wave Equation

In this paper, two temporal second-order schemes are derived and analyzed for the time multi-term fractional diffusion-wave equation based on the order reduction technique. The weighted average at two time levels is applied to the discretization …

15.09.2018

Computing Integrals Involved the Gaussian Function with a Small Standard Deviation

We develop efficient numerical integration methods for computing an integral whose integrand is a product of a smooth function and the Gaussian function with a small standard deviation. Traditional numerical integration methods applied to the …

10.09.2018

On the Algebraic Construction of Sparse Multilevel Approximations of Elliptic Tensor Product Problems

We consider the solution of elliptic problems on the tensor product of two physical domains as for example present in the approximation of the solution covariance of elliptic partial differential equations with random input. Previous sparse …

08.09.2018

Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems

In this paper we first present stability and error analysis of the fully discrete numerical schemes for general dissipative systems, in which the implicit Runge–Kutta (IRK) method is adopted for time integration. Under suitable conditions on the …

06.09.2018

Convergence Analysis of Krylov Subspace Spectral Methods for Reaction–Diffusion Equations

Krylov subspace spectral (KSS) methods are explicit time-stepping methods for partial differential equations that are designed to extend the advantages of Fourier spectral methods, when applied to constant-coefficient problems, to the …

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Journal of Scientific Computing is an international interdisciplinary forum for the publication of papers on state-of-the-art developments in scientific computing and its applications in science and engineering.

The journal publishes high-quality, peer-reviewed original papers, review papers and short communications on scientific computing.

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