Lax Equivalence Theorem Numerical (1 results)

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In numericalanalysis, the Lax equivalence theorem is the fundamental theorem in theanalysis of finite difference methods for the numerical solution ofpartial differential equations. It states that for a consistent finitedifference method for a well-posed linear initial value problem, themethod is convergent if and only if it is stable. The importance of thetheorem is that while convergence of the solution of the finitedifference method to the solution of the partial differential equationis what is desired, it is ordinarily difficult to establish because thenumerical method is defined by a recurrence relation while thedifferential equation involves a differentiable function.…