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article

A generalized shift-splitting preconditioner for complex symmetric linear systems

Cai-Rong Chen, Chang-Feng Ma

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 691-700

In this paper, the generalized shift-splitting (GSS) preconditioner is implemented for solving a class of generalized saddle point problems which stem from the solution of complex symmetric linear systems. The GSS preconditioner is induced by the generalized shift-splitting iterative method. Theoretical analysis shows that the generalized shift-splitting iterative method is unconditionally convergent...

article

Does soil erosion rejuvenate the soil phosphorus inventory?

Andre Eger, Kyungsoo Yoo, Peter C. Almond, Gustavo Boitt, more

Geoderma > 2018 > 332 > C > 45-59

Phosphorus (P) is an essential nutrient for life. Deficits in soil P reduce primary production and alter biodiversity. A soil P paradigm based on studies of soils that form on flat topography, where erosion rates are minimal, indicates P is supplied to soil mainly as apatite from the underlying parent material and over time is lost via weathering or transformed into labile and less-bioavailable secondary...

article

Two-year responses of earthworm abundance, soil aggregates, and soil carbon to no-tillage and fertilization

Miwa Arai, Toshiko Miura, Hiroshi Tsuzura, Yukio Minamiya, more

Geoderma > 2018 > 332 > C > 135-141

Agricultural practices often lead to a decrease in soil carbon (C), which often begins shortly after a natural system is converted to arable land. Conservation agriculture practices, such as no-till farming and weed mulching (NWM), may help maintain soil C. Increases in plant biomass through fertilization can also increase soil C. However, there is limited knowledge of the initial C dynamics following...

article

Multiscale model reduction for pore-scale simulation of Li-ion batteries using GMsFEM

Maria Vasilyeva, Aashutosh Mistry, Partha P. Mukherjee

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 73-88

In this work, we consider electrochemical processes for the pore-scale simulation of Lithium-ion batteries (LIBs). Mathematical model consists of the coupled system of the equations for the concentration and electric potential. We develop fine-scale approximation using discontinuous Galerkin approach, where interface condition is imposed weakly. We present novel multiscale model reduction technique...

article

An accurate approximation algorithm for Burgers’ equation in the presence of small viscosity

Muaz Seydaoğlu

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 473-481

Most of the existing numerical schemes developed to solve Burgers’ equation cannot exhibit its correct physical behavior for very small values of viscosity. This difficulty can be overcome by using splitting methods derived for near-integrable system. This class of methods has positive real coefficients and can be used for non-reversible systems such as Burgers’ equation. It also has the advantage...

article

Effects of cropping systems upon the three-dimensional architecture of soil systems are modulated by texture

Aurelie Bacq-Labreuil, John Crawford, Sacha J. Mooney, Andrew L. Neal, more

Geoderma > 2018 > 332 > C > 73-83

Soil delivers fundamental ecosystem functions via interactions between physical and biological processes mediated by soil structure. The structure of soil is also dynamic and modified by natural factors and management intervention. The aim of this study was to investigate the effects of different cropping systems on soil structure at contrasting spatial scales. Three systems were studied in replicated...

article

Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers

Long Yuan, Qiya Hu

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 323-345

In this paper we are concerned with some plane wave discretization methods of the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers. We design two new variants of the variational theory of complex rays and the ultra weak variational formulation for the discretization of these types of equations, respectively. The well posedness of the approximate solutions generated...

article

Robust optimal control using conditional risk mappings in infinite horizon

Kerem Uğurlu

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 275-287

We use one-step conditional risk mappings to formulate a risk averse version of a total cost problem on a controlled Markov process in discrete time infinite horizon. The nonnegative one step costs are assumed to be lower semi-continuous but not necessarily bounded. We derive the conditions for the existence of the optimal strategies and solve the problem explicitly by giving the robust dynamic programming...

article

Numerical solution of Volterra–Fredholm integral equations using the collocation method based on a special form of the Müntz–Legendre polynomials

Neda Negarchi, Kazem Nouri

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 15-24

This paper presents a computational technique based on a special family of the Müntz–Legendre polynomials to solve a class of Volterra–Fredholm integral equations. The relationship between the Jacobi polynomials and Müntz–Legendre polynomials, in a particular state, are expressed. The proposed method reduces the integral equation into algebraic equations via the Chebyshev–Gauss–Lobatto points, so...

article

A study of dynamics via Möbius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions

Young Hee Geum, Young Ik Kim, Á. Alberto Magreñán

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 608-623

A generic family of sixth-order modified Newton-like multiple-zero finders have been proposed in Geum et al. (2016). Among them we select a specific family of iterative methods with uniparametric bivariate polynomial weight functions and study their dynamics by investigating the relevant parameter spaces and dynamical planes, via Möbius conjugacy map applied to a prototype polynomial of the form ...

article

Effects of soil macro- and mesofauna on litter decomposition and soil organic matter stabilization

Jan Frouz

Geoderma > 2018 > 332 > C > 161-172

Soil fauna consumes substantial amounts of litter and can even consume the entire annual litterfall in some ecosystems. The assimilation efficiency of fauna may reach 50% but is usually much smaller. Soil fauna may affect soil organic matter (SOM) dynamics not only by assimilating litter but also by modifying the soil environment at many spatiotemporal scales. Litter processing by fauna usually results...

article

Stabilizing effects on a Cd polluted coastal wetland soil using calcium polysulphide

Chen Tu, Feng Guan, Yuhuan Sun, Pengpeng Guo, more

Geoderma > 2018 > 332 > C > 190-197

In this study, different dosages of calcium polysulphide (CaS_x) were used as an amendment to investigate effects on the immobilizing of Cd in a wetland soil by pot experiment. In addition to chemical analysis (pH and bioavailable Cd concentration), changes in soil enzyme activities, microbial carbon utilization capacity, metabolic and community diversity were examined to assess dynamic impacts on...

article

An efficient LDU algorithm for the minimal least squares solution of linear systems

I. Fernández de Bustos, V. García-Marina, G. Urkullu, M. Abasolo

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 346-355

The minimal least squares solutions is a topic of interest due to the broad range of applications of this problem. Although it can be obtained from other algorithms, such as the Singular Value Decomposition (SVD) or the Complete Orthogonal Decomposition (COD), the use of LDU factorizations has its advantages, namely the computational cost and the low fill-in that can be obtained using this method...

article

Parallel space–time h p adaptive discretization scheme for parabolic problems

M. Łoś, R. Schaefer, M. Paszyński

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 819-835

We introduce an integration scheme for parabolic problems. Our parallelizable method uses adaptive h p -finite elements in space, and finite differences in time. The strategy can also be combined with a classical finite element method parallelization technique based on domain decomposition. We verified the performance of our method against two different benchmarks, in both two-dimensional (model...

article

Quantity-intensity relations of potassium in representative coastal soils of eastern India

Ranajit Panda, S.K. Patra

Geoderma > 2018 > 332 > C > 198-206

Quantity-intensity (Q/I) isotherms were used to evaluate the dynamics of K⁺ in twelve coastal soils of eastern India. The activity ratio of K⁺ (AR_e^K) and corresponding changes in labile K⁺ (±∆K) at equilibrium increased with increasing K⁺ concentrations. The equilibrium activity ratio of K⁺ (AR_e^0K) varied between 0.09 × 10⁻³ and 7.50 × 10⁻³ (mol L⁻¹)^1/2. The labile K⁺ (K_L) ranged from 0.265 to 0.4 cmol kg...

article

A fast numerical algorithm for a basic dual integral equation of the flapping wing in a flow of non-viscous incompressible fluid

V.V. Popuzin, M.A. Sumbatyan, A.E. Tarasov

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 457-472

The present paper proposes a new approach to the classical problem of the harmonic oscillations of a thin wing in a flow of non-viscous incompressible fluid. The problem is reduced to a dual integral equation, permitting application of numerical methods. The numerical experiments are performed by using some advanced fast non-stationary iterative methods, with the help of the two-dimensional Fast Fourier...

article

Mapped CWENO scheme for hyperbolic conservation laws

Cong Huang, Rong Wang

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 229-244

In this paper, we analysis the Central Weighted Essentially Non-Oscillatory (CWENO) scheme for hyperbolic conservation laws (Qiu and Shu, 2002). The CWENO procedure contains three major steps: the reconstruction of u ̄ i + 1 ∕ 2 n from u ̄ i n , the reconstruction of u i n from u ̄ i n , and the approximation of ∫ t n t n +...

article

Adaptive numerical approach based upon Chebyshev operational vector for nonlinear Volterra integral equations and its convergence analysis

K. Maleknejad, R. Dehbozorgi

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 356-366

In the current paper, we present a direct numerical scheme to approximate a second-kind nonlinear Volterra integral equations (NVIEs). The scheme is based upon shifted Chebyshev polynomials and its operational matrices which eventually leads to the sparsity of the coefficients matrix of obtained system. The main idea of the proposed approach is based on a useful property of Chebyshev polynomials that...

article

Rapid generalized Schultz iterative methods for the computation of outer inverses

Marko D. Petković, Mihailo A. Krstić, Kostadin P. Rajković

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 572-584

We present a general scheme for the construction of new efficient generalized Schultz iterative methods for computing the inverse matrix and various matrix generalized inverses. These methods have the form X k + 1 = X k p ( A X k ) , where A is m × n complex matrix and p ( x ) is a polynomial. The construction procedure is general and can be applied to any number of matrix...

article

On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains

Chao Zhang, Li-Lian Wang, Dongqin Gu, Wenjie Liu

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 553-571

In this paper, we provide an explicit, stable and fast means to compute the approximate inverse of Hermite/Laguerre collocation differentiation matrices, and also the approximate inverse of the Hermite/Laguerre collocation matrices of a second-order differential operator. The latter offers optimal preconditioners for developing well-conditioned Hermite/Laguerre collocation schemes. We apply the new...

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A generalized shift-splitting preconditioner for complex symmetric linear systems

Does soil erosion rejuvenate the soil phosphorus inventory?

Two-year responses of earthworm abundance, soil aggregates, and soil carbon to no-tillage and fertilization

Multiscale model reduction for pore-scale simulation of Li-ion batteries using GMsFEM

An accurate approximation algorithm for Burgers’ equation in the presence of small viscosity

Effects of cropping systems upon the three-dimensional architecture of soil systems are modulated by texture

Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers

Robust optimal control using conditional risk mappings in infinite horizon

Numerical solution of Volterra–Fredholm integral equations using the collocation method based on a special form of the Müntz–Legendre polynomials

A study of dynamics via Möbius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions

Effects of soil macro- and mesofauna on litter decomposition and soil organic matter stabilization

Stabilizing effects on a Cd polluted coastal wetland soil using calcium polysulphide

An efficient LDU algorithm for the minimal least squares solution of linear systems

Parallel space–time h p adaptive discretization scheme for parabolic problems

Quantity-intensity relations of potassium in representative coastal soils of eastern India

A fast numerical algorithm for a basic dual integral equation of the flapping wing in a flow of non-viscous incompressible fluid

Mapped CWENO scheme for hyperbolic conservation laws

Adaptive numerical approach based upon Chebyshev operational vector for nonlinear Volterra integral equations and its convergence analysis

Rapid generalized Schultz iterative methods for the computation of outer inverses

On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains

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