By exploiting the fact that conservation laws form the kernel of a discrete Euler operator, we use a recently introduced symbolic-numeric approach to construct a new class of finite difference methods for the modified Korteweg-de Vries (mKdV) equation, that preserve the local conservation laws of mass and energy
AbstractAn alternative method to construct a class of conservation laws of the KdV equation based on...
In this paper we study the conservation laws of modified Korteweg-de Vries-Kadomtsev Petviashvili eq...
<p>This is a conservative implementation of the vectorial modified Korteweg-de Vries equation as des...
Conservation laws are among the most fundamental geometric properties of a given partial differentia...
Finite difference schemes that preserve two conservation laws of a given partial differential equati...
Conservation laws are among the most fundamental geometric properties of a partial differential equa...
Finite diffrence schemes that preserve two conservation laws of a given partial differential equatio...
There are several well-established approaches to constructing finite difference schemes that preserv...
In this paper, we consider modified Korteweg-de Vries (mKdV) equation. By using the nonlocal conserv...
AbstractIn this paper, we consider modified Korteweg–de Vries (mKdV) equation. By using the nonlocal...
This paper introduces a new symbolic-numeric strategy for finding semidiscretizations of a given PDE...
The main result of this thesis is to find a characteristic for conservation laws (CLaws) of explicit...
A numerical solution of the modified Korteweg-de Vries (MKdV) equation is presented by using a nonst...
Two numerical models to obtain the solution of the KdV equation are proposed. Numerical tools, compa...
We propose a Lagrangian approach to deriving energy-preserving finite difference schemes for the Eul...
AbstractAn alternative method to construct a class of conservation laws of the KdV equation based on...
In this paper we study the conservation laws of modified Korteweg-de Vries-Kadomtsev Petviashvili eq...
<p>This is a conservative implementation of the vectorial modified Korteweg-de Vries equation as des...
Conservation laws are among the most fundamental geometric properties of a given partial differentia...
Finite difference schemes that preserve two conservation laws of a given partial differential equati...
Conservation laws are among the most fundamental geometric properties of a partial differential equa...
Finite diffrence schemes that preserve two conservation laws of a given partial differential equatio...
There are several well-established approaches to constructing finite difference schemes that preserv...
In this paper, we consider modified Korteweg-de Vries (mKdV) equation. By using the nonlocal conserv...
AbstractIn this paper, we consider modified Korteweg–de Vries (mKdV) equation. By using the nonlocal...
This paper introduces a new symbolic-numeric strategy for finding semidiscretizations of a given PDE...
The main result of this thesis is to find a characteristic for conservation laws (CLaws) of explicit...
A numerical solution of the modified Korteweg-de Vries (MKdV) equation is presented by using a nonst...
Two numerical models to obtain the solution of the KdV equation are proposed. Numerical tools, compa...
We propose a Lagrangian approach to deriving energy-preserving finite difference schemes for the Eul...
AbstractAn alternative method to construct a class of conservation laws of the KdV equation based on...
In this paper we study the conservation laws of modified Korteweg-de Vries-Kadomtsev Petviashvili eq...
<p>This is a conservative implementation of the vectorial modified Korteweg-de Vries equation as des...