scholarly journals FINAL REPORT FOR SUBCONTRACT NO. B643867 - PARALLEL-IN-TIME INTEGRATION FOR HYPERBOLIC PROBLEMS

2021 ◽  
Author(s):  
H De Sterck ◽  
O Krzysik
Keyword(s):  
Time Integration ◽  
Final Report ◽  
Hyperbolic Problems

Abstract initial boundary value problems

1994 ◽  
Vol 124 (5) ◽  
pp. 879-908 ◽  
Author(s):  
C. Palencia ◽  
I. Alonso Mallo
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Time Integration ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Linear Operators ◽  
Initial Boundary Value Problems ◽  
Hyperbolic Problems ◽  
Euler’S Method ◽  
Initial Boundary Value

We consider abstract initial boundary value problems in a spirit similar to that of the classical theory of linear semigroups. We assume that the solution u at time t is given by u(t) = S(t) ξ + V(t)g, where ξ and g are respectively the initial and boundary data and S(t) and V(t) are linear operators. We take as a departing point the functional equations satisfied by the propagators S and V. We discuss conditions under which a pair (S, V) describes the solution of an abstract differential initial boundary value problem. Several examples are provided of parabolic and hyperbolic problems that can be accommodated within the abstract theory. We study the backward Euler's method for the time integration of the problems considered.

scholarly journals Multirate Time Integration for ODEs and DAEs Final Report

2019 ◽  
Author(s):  
C S Woodward ◽  
L Loffeld ◽  
D J Gardner
Keyword(s):  
Time Integration ◽  
Final Report ◽  
Multirate Time Integration

Nursing and Environmental Health Roundtable: August 26-27, 2002, Research Triangle Park, North Carolina: Final Report

2002 ◽  
Author(s):  
Teresa Nastoff ◽  
◽  
Diane M. Drew ◽  
Pamela S. Wigington ◽  
Julie Wakefield ◽  
...  
Keyword(s):  
North Carolina ◽  
Environmental Health ◽  
Final Report ◽  
Research Triangle
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