AbstractBy means of an example of a single first order equation, we show how a shock can be characterized as the solution of an optimization problem. the optimization problem is solved directly by a gradient calculation and the method of steepest descent. The result is a global shock fitting method which eliminates dispersion. Extensions to the case of a system of equations are discussed
Abstract We establish the existence of a global solution to a regular reflection of a shock hitting ...
In this paper, we present a new global optimization method to solve nonlinear systems of equations. ...
The envelope used by the algorithm of Breiman and Cutler [4] can be smoothed to create a better algo...
AbstractBy means of an example of a single first order equation, we show how a shock can be characte...
We consider control problems associated with nonlinear wave equa-tions, in which the slope of the ad...
We consider control problems associated with nonlinear wave equations, in which the slope of the adm...
This book describes the revolutionary capabilities of the new shock fitting algorithms; a great impr...
The solution to a conservation law is integrated in time by an embedded Runge-Kutta method. The time...
The method of intrinsic characterisation of shock wave propagation avoids the cumbersome task of sol...
This paper contains a study of the global optimization of mathematical models described by ordinary ...
This chapter presents shock calculations and discusses the numerical solution of singular perturbati...
Optimization methods for a given class are easily modified to utilize additional information and wor...
In this survey paper we present some results obtained in the Centre for Informatics and Applied Opti...
Summarization: Many chemical engineering systems are described by differential equations. Their opti...
A solution of single nonlinear first order equations may develop jump discontinuities even if initia...
Abstract We establish the existence of a global solution to a regular reflection of a shock hitting ...
In this paper, we present a new global optimization method to solve nonlinear systems of equations. ...
The envelope used by the algorithm of Breiman and Cutler [4] can be smoothed to create a better algo...
AbstractBy means of an example of a single first order equation, we show how a shock can be characte...
We consider control problems associated with nonlinear wave equa-tions, in which the slope of the ad...
We consider control problems associated with nonlinear wave equations, in which the slope of the adm...
This book describes the revolutionary capabilities of the new shock fitting algorithms; a great impr...
The solution to a conservation law is integrated in time by an embedded Runge-Kutta method. The time...
The method of intrinsic characterisation of shock wave propagation avoids the cumbersome task of sol...
This paper contains a study of the global optimization of mathematical models described by ordinary ...
This chapter presents shock calculations and discusses the numerical solution of singular perturbati...
Optimization methods for a given class are easily modified to utilize additional information and wor...
In this survey paper we present some results obtained in the Centre for Informatics and Applied Opti...
Summarization: Many chemical engineering systems are described by differential equations. Their opti...
A solution of single nonlinear first order equations may develop jump discontinuities even if initia...
Abstract We establish the existence of a global solution to a regular reflection of a shock hitting ...
In this paper, we present a new global optimization method to solve nonlinear systems of equations. ...
The envelope used by the algorithm of Breiman and Cutler [4] can be smoothed to create a better algo...
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