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PRECONDITIONING A CLASS OF FOURTH ORDER PROBLEMS BY OPERATOR SPLITTING
parabolic problems fourth order problems preconditioning
2015/12/11
We develop preconditioners for systems arising from finite element discretizations of
parabolic problems which are fourth order in space. We consider boundary conditions which yield
a natural ...
In this artile we review some reent work on fourth order equations in onformal geometry of three and four dimensions. We dis uss some an existene result for a Yamabe-type equation in dimension three. ...
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions
Level-set method Topolygy preserved
2012/8/10
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions。
A New Fourth Order Difference Approximation for the Solution of Three-dimensional Non-linear Biharmonic Equations Using Coupled Approach
Three-Dimensional Non-Linear Biharmonic Equation Finite Differences Fourth Order Accuracy Compact Discretization Block-Block-Tridiagonal Tangential Derivatives Laplacian Stream Function Reynolds Number
2013/1/30
This paper deals with a new higher order compact difference scheme, which is, O(h4) using coupled approach on the 19-point 3D stencil for the solution of three dimensional nonlinear biharmonic equatio...
Exact controllability for the fourth order Schr鰀inger equation
Fourth order Schr鰀inger equation HUM method Controllability Multiplier
2011/10/15
In this paper the boundary controllability of the fourth order Schr"odinger equation in bounded domains is studied. By means of a L2-Neumann boundary control, it is proven that the solution is exactly...
The Quenching Phenomena for Fourth-order Nonlinear Parabolic Equationos
Quenching phenomena fourth-order parabolic equation Quenching time
2011/10/15
In this paper, we investigate the quenching phenomena of initial boundary value problem for the fourth-order nonlinear parabolic equations in bounded domains. First, we not only obtain quenching pheno...
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
nonlinear fourth-order boundary value problems positive solution existence multiplicity fixed point theorem on cone Leray-Schauder continuous principle
2011/10/12
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value pr...
Existence of n Positive Solutions for Some Fourth-order Boundary Value Problems
nonlinear fourth-order boundary value problems positive solution existence multiplicity fixed point theorem on cone Leray-Schauder continuous principle
2011/10/12
The authors apply Leray-Schauder continuous principle theorem and Krasnosel’skii fixed point theorem of cone expansion-compression type to a class of nonlinear fourth-order two-point boundary value pr...
A Fourth Order Improved Numerical Scheme for the Generalized Burgers—Huxley Equation
Burgers-Huxley Finite-Difference Method Modified Predictor-Corrector
2013/1/30
A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers--Huxley equation. The resulting nonlinear system, whic...
On a Boundary-Value Problem for One Class of Differential Equations of the Fourth Order with Operator Coefficients
Boundary-Value Problem Operator Coefficients Fourth Order Functional Analysis
2011/9/20
Abstract: The boundary-value problem on semi-axis for one class operator-differential equations of the fourth order, the main part of which has the multiple characteristic is investigated in this pape...
On a Fourth Order Lichnerowicz Type Equation Involving The Paneitz-Branson Operator
Fourth Order Lichnerowicz Type Equation Paneitz-Branson Operator
2011/2/24
In this paper, we study some fourth order singular critical equa-tions of Lichnerowicz type involving the Paneitz-Branson operator, and we prove existence and non existence results under given assumpt...
Fourth order curvature flows and geometric applications
Fourth order curvature flows geometric applications
2011/1/17
We study a class of fourth order curvature flows on a compact Riemannian manifold, which
includes the gradient flows of a number of quadratic geometric functionals, as for instance the
L2 norm of th...
Fourth order positively smoothed Pade schemes for parabolic partial differential equations with nonlocal boundary conditions
Fourth order positively smoothed Pade schemes parabolic partial differential equations
2010/9/26
Parabolic partial differential equation with nonlocal boundary conditions arise in modeling of various physical phenomena in areas such as chemical diffusion, thermoelasticity, heat conduction process...
On spectral properties of the fourth order differential operator with singular coefficients
spectral properties differential operator singular coefficients
2010/11/22
A formal fourth order differential operator with a singular coefficient that is a linear combination of the Dirac delta-function and its derivatives is considered. The asymptotic behavior of spectra ...
Local Bifurcation-Branching Analysis of Global and "Blow-up" Patterns for a Fourth-Order Thin Film Equation
Thin film equation local bifurcation analysis source-type and blow-up similarity solutions
2010/12/14
Countable families of global-in-time and blow-up similarity sign-changing patterns of the Cauchy problem for the fourth-order thin film equation (TFE–4) ut = −∇ · (|u|n∇u) in RN × R...