The aim of the manuscript is to present a new exact solver of nonlinear partial differential equations. The proposed technique is developed by extending the 6-model expansion method as a known method. The corresponding exact solutions are given in terms of Jacobi elliptic functions. Some new ...
A. Preisig, "Efficient numerical solver for partially structured differential and algebraic equation systems," Industrial ... F Manenti,I Dones,G Buzzi-Ferraris,... - 《Industrial & Engineering Chemistry Research》 被引量: 60发表: 2009年 H-Matrix-Based Fast Direct Finite Element Solver for ...
For the simulation of both subsystems, a classical numerical solver, the explicit Euler method with a step size of δt=2ms, has been chosen. 2.1.2. Model-based pre-step stabilization method For this co-simulation, the subsystems are coupled in parallel with a model-based approach, the ...
. equation ( 8 ) with ( 6 ) imply that \(( x^\star , z^\star )\) is an optimal solution to problem ( 1 ). the optimality conditions for the subproblems of algorithm 1 may be written as $$\begin{aligned}&0\in \partial f(x^k)+a^t\lambda ^{k-1} +ta^t\left( ax^k...
摘要: In this paper, mixed problems for systems of partial differential equations of the type u"t"t = C(t)u"x"x, 0 < x < d, t < 0, where C(t) is a continuously differentiable R^r^ ^x^ ^r valued symmetric...关键词: Accuracy Approximation error B-spline function Constructive ...
the inverse DFT calculation warrants much tighter accuracy in solving the Kohn–Sham eigenvalue equation(s). However, the use of a very high polynomial degree Chebyshev filter can generate an ill-conditioned subspace, akin to any power iteration-based eigen solver. To circumvent the ill conditionin...
Hamiltonian Fast Marching: A numerical solver for anisotropic and non-holonomic eikonal PDEs We introduce a generalized Fast-Marching algorithm, able to compute paths globally minimizing a measure of length, defined w.r.t. a variety of metrics in dimension two to five. Our method applies in part...
In this work, it is assumed that each transformation matrixTis an invertible square matrix with real values [25]. The transformed model equations can be deduced from Equation3by differentiation z→=Tx→|ddt⇒z→˙=Tx→˙=Tf→(x→,u→). ...
We consider the simplified form of the forward step equation from Sec. 3.1 below x_{t-1} \coloneqq a_t x_{t} + b_t \epsilon (x_t, t) (8) If the noise prediction term, ϵ(xt, t) = ε was independent of xt, this would be an affine function in ...
The solution is obtained by solving the jump conditions across shocks plus an ordinary differential equation arising from the self-similarity condition along rarefaction waves, in a similar way as in purely normal flow. This solution has been used to build up an exact Riemann solver implemented in...