... intrinsics of Taylor model arithmetic as above, we can summarize the main property of Taylor model arithmetic in the following theorem: Theorem ( FTTMA, Fundamental Theorem of Taylor Model Arithmetic)... form the basis of a computer implementation of Taylor model arithmetic: Definition (Admissible FP Taylor Model Arithmetic) We call a Taylor model arithmetic admissible if it is based on an ...
. PICARD ITERATION DAVID SEAL The differential equation we’re interested in studying is (1). integrand. To solve this, we attempt to use the following algo- rithm, known as Picard Iteration: (1) Choose an initial guess, y 0 (t) to equation (3). (2) For
............ . algorithm so it is important to have fast interval matrix multiplication in order to obtain efficient imple- mentations of interval algorithms. INTLAB distinguishes. error in the initial data. If the initial data is known to lie in specified ranges then interval arithmetic enables computation of intervals containing the