Particle Method Approximation of Oscillatory Solutions to Hyperbolic Differential Equations

1989 ◽  
Vol 26 (2) ◽  
pp. 289-319 ◽  
Author(s):  
Bjorn Engquist ◽  
Thomas Y. Hou
Keyword(s):  
Differential Equations ◽  
Particle Method ◽  
Oscillatory Solutions ◽  
Hyperbolic Differential Equations

Mixed Problems for Linear Systems of first Order Equations

1958 ◽  
Vol 10 ◽  
pp. 127-160 ◽  
Author(s):  
G. F. D. Duff
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
Auxiliary Data ◽  
First Order ◽  
Independent Variables ◽  
Mixed Problems ◽  
Linear Partial Differential Equations ◽  
Data Problem ◽  
Hyperbolic Differential Equations

A mixed problem in the theory of partial differential equations is an auxiliary data problem wherein conditions are assigned on two distinct surfaces having an intersection of lower dimension. Such problems have usually been formulated in connection with hyperbolic differential equations, with initial and boundary conditions prescribed. In this paper a study is made of the conditions appropriate to a system of R linear partial differential equations of first order, in R dependent and N independent variables.

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