Hamiltonian circuited simulations of elliptic partial differential equations using a spark

DOI10.1016/S0893-9659(00)00170-1zbMath0974.65096WikidataQ126527707 ScholiaQ126527707MaRDI QIDQ5938935

A. Rahman bin Abdullah, R. Hirowati Shariffudin

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

numerical examplesparallel computationelliptic partial differential equationsPoisson equationfinite-difference sparksHamiltonian circuits

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

An efficient explicit decoupled group method for solving two-dimensional fractional Burgers' equation and its convergence analysis

Cites Work

• A weighted group explicit method for the diffusion equation
• A new strategy for solving second-order hyperbolic equations using asymmetric formulae
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• A Note on the Alternating Direction Implicit Method for the Numerical Solution of Heat Flow Problems
• Group explicit iterative methods for solving large linear systems
• Explicit group iterative methods for solving elliptic partial differential equations in 3-space dimensions
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• The four point explicit decoupled group (EDG) Method: a fast poisson solver
• A Factorization Procedure for the Solution of Elliptic Difference Equations
• Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations

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