TY - BOOK TI - Closer Look at the Heat Equation T2 - Mathematics Research Developments Ser SN - 1536176362 AV - QA377 U1 - 515.353 23/eng/20230202 PY - 2020/// PB - Novinka KW - Heat equation N1 - Intro -- A CLOSER LOOK ATTHE HEAT EQUATION -- A CLOSER LOOK ATTHE HEAT EQUATION -- CONTENTS -- PREFACE -- Chapter 1 HIGH ORDER ACCURATE NUMERICAL SOLUTION OF THE HEAT EQUATION -- Abstract -- 1. INTRODUCTION -- 2. EVALUATION OF VOLUME AND SURFACE INTEGRALS -- 2.1. Evaluation of Volume Integrals -- 2.2. Evaluation of Surface Integral -- 3. SOLUTION OF MODIFIED HELMHOLTZAND HEAT EQUATIONS -- 3.1. Modified Helmholtz Equation -- 3.2. Heat Equation -- 3.2.1. Mesh Refinement -- 4. NUMERICAL EXPERIMENTS -- Acknowledgments -- CONCLUSION -- REFERENCES; Chapter 2IMPLEMENTATION OF PARALLELALGORITHM FOR HEAT EQUATION USINGCUDA, SKELGIS LIBRARY AND SISAL -- Abstract -- 1. INTRODUCTION -- 2. RELATED WORK -- 3. MATHEMATICAL MODELING -- 4. IMPLEMENTATIONS -- 4.1. CUDA -- 4.2. SISAL -- 4.3. SkelGIS Library -- 5. EVALUATION -- CONCLUSION -- REFERENCES -- Chapter 3ON THE BESSEL HEAT EQUATIONIN N-DIMENSIONAL RELATEDTO DIAMOND BESSEL OPERATOR -- Abstract -- 1. INTRODUCTION -- 2. PRELIMINARIES -- 3. MAIN RESULTS -- ACKNOWLEDGMENTS -- REFERENCES -- Chapter 4ON THE MIXED OPERATOR FOR SOLVINGNONLINEAR DIAMOND HEAT EQUATION -- Abstract -- 1. INTRODUCTION; 2. PRELIMINARIES -- 3. MAIN RESULTS -- ACKNOWLEDGMENTS -- REFERENCES -- INDEX -- Blank Page UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2366004 ER -