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JSCIC
2007
125views more  JSCIC 2007»
13 years 8 months ago
Discrete Fundamental Solution Preconditioning for Hyperbolic Systems of PDE
We present a new preconditioner for the iterative solution of linear systems of equations arising from discretizations of systems of first order partial differential equations (P...
Henrik Brandén, Sverker Holmgren, Per Sundq...
FOCM
2011
90views more  FOCM 2011»
13 years 4 hour ago
Hamiltonian Interpolation of Splitting Approximations for Nonlinear PDEs
We consider a wide class of semi linear Hamiltonian partial differential equations and their approximation by time splitting methods. We assume that the nonlinearity is polynomia...
Erwan Faou, Benoît Grebert
JSCIC
2008
79views more  JSCIC 2008»
13 years 8 months ago
A New Ghost Cell/Level Set Method for Moving Boundary Problems: Application to Tumor Growth
Abstract In this paper, we present a ghost cell/level set method for the evolution of interfaces whose normal velocity depend upon the solutions of linear and nonlinear quasi-stead...
Paul Macklin, John Lowengrub
CMA
2011
13 years 3 months ago
Third-order family of methods in Banach spaces
Recently, Parida and Gupta [J. Comp. Appl. Math. 206 (2007), 873-877] used Rall’s recurrence relations approach (from 1961) to approximate roots of nonlinear equations, by develo...
Changbum Chun, Pantelimon Stanica, Beny Neta
MCS
2008
Springer
13 years 8 months ago
Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time
In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically desc...
Matthias Gerdts, Günter Greif, Hans Josef Pes...