Research On Solving Movable Boundary Problems With HPD

Moving boundary problems exist in large numbers of important engineering problems. For example: Dam construction,Flow field in the Gulf,Ocean engineering. To solving this problem with HPD have always been a blank and a conundrum. The main reason is when using the HPD theory the core property"CALCULATE ONCE USE CONSTANT"is no longer existing. In another word, the elaborate matrix is changing while time is growing. In this paper, I will show a new way KBJS to solve this problem.Chapters 2 to 4 establish a fast algorithm on solving moving boundary problems from three aspects. The main content is:○1 Solving moving boundary problems with HPD by basic dynamic algorithm。○2 Expansion of HPD with step of 2.。○3 Subgroup convolution algorithm on solving initial elaborate matrix。There are also solutions on solving initial matrix ,repeating computing while matrix step increasing, The complexity of using HPD on moving boundary problems.Established a theory of HPD in the end of paper and numerical computing result is extremely satisfying.Note : The fifth chapter mainly are defer to"Shanghai jiaotong University math department master the graduate student to raise the rule"to complete. After reading and understanding massive science and technology literature the general report which after the ponder the refinement completes.