nonlinear differential equationssensitivity analysisseries (mathematics)/ exact Riemann problemnonlinear shallow-water equationsRiemann solvernonlinear fluid-flow problemsThe Riemann solver is the fundamental building block in the Godunov-type formulation of many nonlinear fluid-flow problems involving ...
S=K. As the option is "marched back in time" via the FDM solver, the profile "smooths out" (see the smoothed region around S=K at T−t=1.0). This is exactly the same behaviour as in a forward heat equation, where heat diffuses from an initial profile to a smoother profile. ...
It is easy to implement and can be simply coupled to a flow solver, such as NS or LB solvers, via an external force term. Because of these interesting advantages, the IBM has been widely used to simulate different kinds of problems and has been emerged as a powerful method for modeling ...
In Section 4 we put the corresponding IMEX methods in the language of a global nonlinear system of equations and employ a fast solver. The numerical results for linear/nonlinear/stiff FDEs with discussions are shown in Section 5, followed by the Conclusions in Section 6....
The Krylov subspace method is used to evaluate the matrix exponential observed in the solution of the spatially discretized space-dependent kinetics equation. The Krylov subspace method is implemented into a space-dependent kinetics solver. In order to examine the effectiveness of the Krylov subspace ...
Even when a solution exists, this does not mean a solver can always find it in an analytical form. You ask about vpasolve for this, but vpasolve is not designed to solve differential equations. And since you are asking about numerical solutions, then why are you using symbolics at all?
Paramotopy relies on Bertini [60] which is a homotopy continuation solver that produces solutions to polynomial systems. This numerical analysis only identifies isolated minima but neglects continuous ones. As we have to treat the conjugate of a complex structure modulus as an indepen- dent ...
Modern Fortran Edition of Hairer's DOP853 ODE Solver. An explicit Runge-Kutta method of order 8(5,3) for problems y'=f(x,y); with dense output of order 7 - jacobwilliams/dop853
Theoretical or Mathematical/ compressible flow numerical analysis partial differential equations/ time-dependent Euler computations explicit type time marching methods compressible flow TVD conditions linear conservation law Euler equations discontinuities limiter Roe's solver MUSCL reconstruction/ A4740 Compressible...
The direct linear solver for the implicit subsystem costs less than using significantly more time steps. Even the leap-frog algorithm that limits the additional time steps to the subsystem of the cut dofs is more expensive per accuracy and time step size. Newmark IMEX performs best even in the...