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Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions
Level-set method Topolygy preserved
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2012/8/10
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions。
G1 B-Spline Surface Construction By Geometric Partial Differential Equations
B-Spline surface discretizations geometric PDE Convergence
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2012/8/8
In this paper, we propose a dynamic B-spline technique using general form fourth order geometric
PDEs. Basing on discretizaions of Laplace-Beltrami operator and Gaussian curvature over triangular
an...
G1 Spline Surface Construction By Geometric Partial Differential Equations Using Mixed Finite Element Methods
Spline surface Discretizations GPDE Convergence
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2012/8/8
Variational formulations of three fourth order geometric partial di甧rential equations are
derived, and based on which mixed 痭ite element methods are presented for constructing
G1 smooth B-spline sur...
Construction of exact invariants of time-dependent linear nonholonomic dynamical systems
invariant Lie algebraic method linear nonholonomic Hamiltonian system
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2012/8/8
In this work, we build exact dynamical invariants for time-dependent, linear, nonholo-
nomic Hamiltonian systems in two dimensions. Our aim is to obtain an additional insight into
the theoretical un...
One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems
Nonlinear Eigenvalue Problem Derivatives of Matrix Determinant Numerical Algorithm of Alternate Approximations
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2013/1/30
In this paper a new approach to construction of iterative methods of bilateral approximations of eigenvalue is proposed and investigated. The conditions on initial approximation, which ensure the conv...
CONSTRUCTION OF A THREE-STAGE DIFFERENCE SCHEME FOR ORDINARYDIFFERENTIAL EQUATIONS
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2007/12/12
In this paper, we construct a three-stage difference scheme of 4th order for
ordinary differential equations by the method of composing 2nd order
schemes symmetrically.
CONSTRUCTION OF VOLUME-PRESERVING DIFFERENCE SCHEMES FOR SOURCE-FREE SYSTEMS VIA GENERETING FUNCTIONS
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2007/12/11
I.Introduction Source-free dynamical systems are of great importance in many branches of physics. A significant subject for such systems is to design "proper" numerical algorithms. Since the phase flo...
CHARACTERIZATION AND CONSTRUCTION OF LINEAR SYMPLECTIC RK-METHODS
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2007/12/11
A characterization of linear symplectic Runge-Kutta methods, which is based on the W-transformation of Hairer and Wanner, is presented. Using this charac-terization three classes of high order linear ...
Construction of Solutions and L^1-error Estimates of Viscous Methods for Scalar Conservation Laws with Boundary
scalar conservation laws initial boundary value problem global weak entropy solution error estimate of viscous methods
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2007/12/11
This paper is concerned with an initial boundary value problem for strictly convex conservation laws whose weak entropy solution is in the piecewise smooth solution class consisting of finitely many d...