Suchergebnisse - "compact methods"
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A novel kind of efficient symplectic scheme for Klein–Gordon–Schrödinger equation
ISSN: 0168-9274, 1873-5460Veröffentlicht: Elsevier B.V 01.01.2019Veröffentlicht in Applied numerical mathematics (01.01.2019)“… In this paper, we construct a family of high order compact symplectic (S-HOC) schemes for the Klein–Gordon–Schrödinger (KGS) equation. The KGS can be cast into …”
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Compact schemes for laser–matter interaction in Schrödinger equation based on effective splittings of Magnus expansion
ISSN: 0010-4655, 1879-2944Veröffentlicht: Elsevier B.V 01.01.2019Veröffentlicht in Computer physics communications (01.01.2019)“… Numerical solutions for laser–matter interaction in Schrödinger equation has many applications in theoretical chemistry, quantum physics and condensed matter …”
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Numerical Dissipation Control in High-Order Methods for Compressible Turbulence: Recent Development
ISSN: 2311-5521, 2311-5521Veröffentlicht: Basel MDPI AG 01.06.2024Veröffentlicht in Fluids (Basel) (01.06.2024)“… This comprehensive overview presents our continued efforts in high-order finite difference method (FDM) development for adaptive numerical dissipation control …”
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A compact adaptive approach for degenerate singular reaction‐diffusion equations
ISSN: 0749-159X, 1098-2426Veröffentlicht: New York Wiley Subscription Services, Inc 01.07.2018Veröffentlicht in Numerical methods for partial differential equations (01.07.2018)“… This article concerns a compact adaptive method for the numerical solution of nonlinear degenerate singular reaction‐diffusion equations. The partial …”
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A massively parallel multi-block hybrid compact–WENO scheme for compressible flows
ISSN: 0021-9991, 1090-2716Veröffentlicht: Kidlington Elsevier Inc 20.10.2009Veröffentlicht in Journal of computational physics (20.10.2009)“… A new multi-block hybrid compact–WENO finite-difference method for the massively parallel computation of compressible flows is presented. In contrast to …”
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A parallel compact-TVD method for compressible fluid dynamics employing shared and distributed-memory paradigms
ISSN: 0045-7930, 1879-0747Veröffentlicht: Elsevier Ltd 01.06.2011Veröffentlicht in Computers & fluids (01.06.2011)“… A novel multi-block compact-TVD finite difference method for the simulation of compressible flows is presented. The method combines distributed and …”
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A computational stream function method for two-dimensional incompressible viscous flows
ISSN: 0029-5981, 1097-0207Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 14.04.2005Veröffentlicht in International journal for numerical methods in engineering (14.04.2005)“… This work concerns the development of a numerical method based on the stream function formulation of the Navier–Stokes equations to simulate …”
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A study of a numerical solution of the steady two dimensions Navier–Stokes equations in a constricted channel problem by a compact fourth order method
ISSN: 0096-3003, 1873-5649Veröffentlicht: New York, NY Elsevier Inc 31.12.2003Veröffentlicht in Applied mathematics and computation (31.12.2003)“… We present a numerical solution for the steady 2D Navier–Stokes equations using a fourth order compact-type method. The geometry of the problem is a …”
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Implicit, compact, linearized θ-methods with factorization for multidimensional reaction-diffusion equations
ISSN: 0096-3003, 1873-5649Veröffentlicht: New York, NY Elsevier Inc 01.08.1998Veröffentlicht in Applied mathematics and computation (01.08.1998)“… An iterative predictor–corrector technique for the elimination of the approximate factorization errors which result from the factorization of implicit, …”
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A unified approach to high-order compact finite difference schemes for 3D Poisson equations
ISSN: 0377-0427Veröffentlicht: Elsevier B.V 15.03.2026Veröffentlicht in Journal of computational and applied mathematics (15.03.2026)“… A unified approach to high-order compact finite difference schemes for solving three-dimensional Poisson equations is derived. Notice that all high order …”
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A highly accurate symplectic-preserving scheme for Gross-Pitaevskii equation
ISSN: 0168-9274Veröffentlicht: Elsevier B.V 01.01.2026Veröffentlicht in Applied numerical mathematics (01.01.2026)“… An efficient fourth-order numerical scheme is developed for the Gross-Pitaevskii equation. The spatial direction is approximated by a fourth-order compact …”
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Efficient energy structure-preserving schemes for three-dimensional Maxwell's equations
ISSN: 0021-9991, 1090-2716Veröffentlicht: Elsevier Inc 15.10.2023Veröffentlicht in Journal of computational physics (15.10.2023)“… Two energy structure-preserving schemes are proposed for Maxwell's equations in three dimensions. The Maxwell's equations are split into several local …”
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A numerical method for the solution of the two-dimensional time-fractional cable equation of distributed-order involving Riesz space-fractional operators
ISSN: 0378-4754Veröffentlicht: Elsevier B.V 01.04.2026Veröffentlicht in Mathematics and computers in simulation (01.04.2026)“… In this paper, we propose an efficient hybrid numerical approach to obtain approximate solutions to the two-dimensional time-fractional cable equation of …”
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Efficient energy‐preserving scheme of the three‐coupled nonlinear Schrödinger equation
ISSN: 0170-4214, 1099-1476Veröffentlicht: Freiburg Wiley Subscription Services, Inc 01.06.2019Veröffentlicht in Mathematical methods in the applied sciences (01.06.2019)“… An energy‐preserving scheme is proposed for the three‐coupled nonlinear Schrödinger (T‐CNLS) equation. The T‐CNLS equation is rewritten into the classical …”
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Compact and efficient conservative schemes for coupled nonlinear Schrödinger equations
ISSN: 0749-159X, 1098-2426Veröffentlicht: New York Blackwell Publishing Ltd 01.11.2015Veröffentlicht in Numerical methods for partial differential equations (01.11.2015)“… In the manuscript, we present several numerical schemes to approximate the coupled nonlinear Schrödinger equations. Three of them are high‐order compact and …”
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A charge-preserving compact splitting method for solving the coupled stochastic nonlinear Schrödinger equations
ISSN: 0168-9274, 1873-5460Veröffentlicht: Elsevier B.V 01.11.2022Veröffentlicht in Applied numerical mathematics (01.11.2022)“… In this paper, a splitting method for solving a system of coupled stochastic nonlinear Schrödinger (CSNLS) equations is proposed. Based on its Hamiltonian …”
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An explicit fourth-order accurate compact method for the Allen-Cahn equation
ISSN: 2473-6988, 2473-6988Veröffentlicht: AIMS Press 01.01.2024Veröffentlicht in AIMS mathematics (01.01.2024)“… In this paper, we propose an explicit spatially fourth-order accurate compact scheme for the Allen-Cahn equation in one-, two-, and three-dimensional spaces …”
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High order compact split step finite difference method for two-dimensional coupled nonlinear Schrödinger system
ISSN: 1742-6588, 1742-6596Veröffentlicht: Bristol IOP Publishing 01.06.2022Veröffentlicht in Journal of physics. Conference series (01.06.2022)“… In this paper, a decoupled and efficient finite difference method is developed for two-dimensional coupled nonlinear Schrödinger (CNLS) system. The proposed …”
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Stable and efficient numerical schemes for two-dimensional Maxwell equations in lossy medium
ISSN: 0021-9991, 1090-2716Veröffentlicht: Cambridge Elsevier Inc 15.11.2019Veröffentlicht in Journal of computational physics (15.11.2019)“… In this paper, some stable and efficient numerical methods are developed for two-dimensional Maxwell equations. To avoid solving large scale algebraic …”
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A new implicit finite difference method with a compact correction term for solving unsteady convection diffusion equations
ISSN: 1040-7790, 1521-0626Veröffentlicht: Philadelphia Taylor & Francis 03.08.2022Veröffentlicht in Numerical heat transfer. Part B, Fundamentals (03.08.2022)“… A new implicit finite difference method with a compact correction term is established for solving unsteady convection-diffusion equations. The correction terms …”
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