A New Class of Time Discretization Schemes for the Solution of ...

Abstract. We consider issues of stability of time-discretization schemes withexacttreatment of thelinear part(ELP schemes) for solving nonlinear PDEs. A ...

We consider issues of stability of time-discretization schemes with exact treatment of the linear part (ELP schemes) for solving nonlinear PDEs.

A New Class of Time Discretization Schemes for the Solution of ...

respectively. A distinctive feature of these new schemes is the exact evaluation of the contribution of the linear part. That is, if the nonlinear part is ...

[PDF] A New Class of Time Discretization Schemes for the Solution ...

It turns out that computing the exponential of strictly elliptic operators in the wavelet system of coordinates yields sparse matrices (for ...

A new class of time discretization schemes for the solution of ...

A new class of time discretization schemes for the solution of nonlinear PDEs Journal Article uri icon. Overview; Other Profiles; Additional Document Info.

A New Class of Discretization Methods for the Solution of Linear ...

3. Stephen L. Campbell, A general form for solvable linear time varying singular systems of differential equations, SIAM J. Math. Anal.

A New Class of Optimal High-Order Strong-Stability-Preserving Time ...

PDF | Strong-stability-preserving (SSP) time discretization methods have a nonlinear sta- bility property that makes them particularly ...

Structure-Preserving Time Discretization of Port-Hamiltonian ... - arXiv

model. For this purpose, we introduce a new class of time discretization schemes which is based on so-called discrete gradient pairs and leads.

A new class of implicit–explicit BDFk SAV schemes for general ...

efficient time discretization schemes for gradient flows. Due to its simplicity, efficiency and generality, it attracted much attention and ...

A New Class of Optimal High-Order Strong-Stability-Preserving Time ...

However, nonlinear instabilities can occur in a numerical solution obtained with, e.g., a TVD or MUSCL spatial discretization scheme, but a standard (i.e., ...

A New Class of Optimal High-Order Strong-Stability-Preserving Time ...

This paper presents a new class of optimal high-order SSP and low-storage SSP Runge--Kutta schemes with s>p, and finds that these schemes are ultimately ...

(PDF) A class of time discretization schemes which is based on ...

A class of time discretization schemes which is based on Rothe's method is the con- tinuous Galerkin-Petrov discretization (cGP(k)-methods) and ...

A New Class of Optimal High-Order Strong-Stability-Preserving Time ...

be strongly stable under the CFL restriction At <_ AtFE. Page 5. NEW OPTIMAL SSPRK TIME DISCRETIZATION METHODS 473. Let Euler's method solved backward in ...

Time discretization schemes for hyperbolic systems on networks by ...

With a combination of an $\epsilon$-expansion and Runge-Kutta schemes for constrained systems of parabolic type, we derive a new class of time discretization ...

A “Parareal” Time Discretization for Non-Linear PDE's ... - SpringerLink

As in the former implementation [3], the main goal of this scheme is to parallelize the time discretization to obtain an important speed up. As an application ...

Pathwise uniform convergence of time discretization schemes for ...

Again, convergence rates are obtained for a large class of numerical schemes, and versions of (1.6) are obtained. Examples with trace class, ...

Implicit-explicit time discretization schemes for a class of semilinear ...

However, when this IMEX scheme is applied to a class of semilinear wave equations with nonautonomous damping terms, it is noted that the error rate descends to ...

The time discretization in classes of integro‐differential equations ...

behavior in the second order difference type method of a linear Volterra equation with completely monotonic kernel I: Stability, IMA J Numer ...

A New Class of Simple, General and Efficient Finite Volume ...

Numerical schemes which directly discretize the entropy inequality and which are able to obtain the total energy conservation law as a mere ...

Variationally consistent discretization schemes and numerical ...

(1998), 'A new class of conserving algorithms for dynamic contact problems.', Comput. Methods Appl. Mech. Engrg 158, 269–300.CrossRefGoogle Scholar. Armero ...