Browsing by Subject "Spectral methods"
Now showing items 112 of 12

Article
Analyticity for a class of nonlinear evolutionary pseudodifferential equations
(2014)We study the analyticity properties of solutions for a class of nonlinear evolutionary pseudodifferential equations possessing global attractors. In order to do this we utilise an analyticity criterion for spatially ...

Article
Computational study of the dispersively modified KuramotoSivashinsky equation
(2012)We analyze and implement fully discrete schemes for periodic initial value problems for a general class of dispersively modified KuramotoSivashinsky equations. Time discretizations are constructed using linearly implicit ...

Article
Conforming Chebyshev spectral methods for Poisson problems in rectangular domains
(1993)Four and sixelement conforming domain decomposition techniques are developed for Chebyshev spectral collocation methods for Poisson problems in rectangular domains. The applicability of the methods is demonstrated on ...

Article
Conforming spectral methods for Poisson problems in cuboidal domains
(1994)A Chebyshev collocation strategy is introduced for the subdivision of cuboids into cuboidal subdomains (elements). These elements are conforming, which means that the approximation to the solution is C0 continuous at all ...

Article
A conforming spectral technique for biharmonictype problems in rectangular domains
(1994)A conforming domain decomposition Chebyshev spectral collocation method is developed for the solution of biharmonictype problems in rectangular domains. Careful selection of the collocation points ensures that the solution ...

Article
Direct methods for spectral approximations in nonconforming domain decompositions
(1998)The application of a conforming spectral collocation method to certain nonconforming domain decompositions leads to global matrices which have a particular block structure. We study the performance of various direct linear ...

Article
High performance solution of partial differential equations discretized using a chebyshev spectral collocation method
(1996)When a Chebyshev spectral collocation method is applied to a flow problem in a rectangularly decomposable domain it leads to the solution of a structured linear system. Since the linear system is solved at each step of a ...

Article
A Legendre spectral quadrature Galerkin method for the CauchyNavier equations of elasticity with variable coefficients
(2017)We solve the Dirichlet and mixed DirichletNeumann boundary value problems for the variable coefficient CauchyNavier equations of elasticity in a square using a Legendre spectral Galerkin method. The resulting linear ...

Article
Linearly implicit schemes for multidimensional KuramotoSivashinsky type equations arising in falling film flows
(2014)This study introduces, analyses and implements spacetime discretizations of twodimensional active dissipative partial differential equations such as the TopperKawahara equation

Article
Matrix decomposition algorithms for elliptic boundary value problems: A survey
(2011)We provide an overview of matrix decomposition algorithms (MDAs) for the solution of systems of linear equations arising when various discretization techniques are applied in the numerical solution of certain separable ...

Article
On efficient direct methods for conforming spectral domain decomposition techniques
(1990)A conforming spectral domain decomposition technique is described for the solution of Stokes flow in rectangularly decomposable domains. The matrices arising from such a spectral discretization procedure possess a block ...

Article
A spectral mortar element discretization of the Poisson equation with mixed boundary conditions
(2007)In this paper, we study a spectral mortar element discretization of the Poisson equation on a square subject to mixed boundary conditions of Dirichlet and Neumann type. We carry out the numerical analysis of the method and ...