Finite Element Method for Initial Value Problems
Finite Element Method for Initial Value Problems
Mathematics and Computations
Reddy, J. N.; Surana, Karan S.
Taylor & Francis Ltd
10/2017
630
Dura
Inglês
9781138576377
15 a 20 dias
1496
Descrição não disponível.
Introduction. Concepts from Functional Analysis and Calculus of Variations. Space-Time Coupled Classical Methods of Approximation. Space-Time Finite Element Method. Space-Time Decoupled or Quasi Finite Element Methods. Methods of Approximation for ODEs in Time. Finite Element for ODEs in Time. Stability Analysis of the Methods of Approximation. Mode Superposition Technique. Errors in Numerical Solutions of Initial Value Problems. Appendix A: Nondimensionalizing Mathematical Models. Appendix B: Mapping and Interpolation Theory. Appendix C: Numerical Integration using Gauss Quadrature. Index
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Space Time Differential Operator;Finite Element Analysis;Finite Element Processes;Initial Value Problems;Priori Error Estimates;IVPs;Space Time Finite Element;Methods of approximation;Ordinary Differential Equation;Dependent variables;Constant Average Acceleration;Differential Equations;Posteriori Error Computations;Differential operators;Uniform Mesh Refinement;Space-time differential operators;Space Time Slab;Space-time decoupled methods;Implicit Time Integration Methods;Galerkin method;Finite Difference Method;space-time Petrov-Galerkin method;Space Time Domain;STWRM;Asymptotic Range;J. N. Reddy;Posteriori Error Estimation;Time Dependent Convection Diffusion Equation;Constant Average Acceleration Method
Introduction. Concepts from Functional Analysis and Calculus of Variations. Space-Time Coupled Classical Methods of Approximation. Space-Time Finite Element Method. Space-Time Decoupled or Quasi Finite Element Methods. Methods of Approximation for ODEs in Time. Finite Element for ODEs in Time. Stability Analysis of the Methods of Approximation. Mode Superposition Technique. Errors in Numerical Solutions of Initial Value Problems. Appendix A: Nondimensionalizing Mathematical Models. Appendix B: Mapping and Interpolation Theory. Appendix C: Numerical Integration using Gauss Quadrature. Index
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Space Time Differential Operator;Finite Element Analysis;Finite Element Processes;Initial Value Problems;Priori Error Estimates;IVPs;Space Time Finite Element;Methods of approximation;Ordinary Differential Equation;Dependent variables;Constant Average Acceleration;Differential Equations;Posteriori Error Computations;Differential operators;Uniform Mesh Refinement;Space-time differential operators;Space Time Slab;Space-time decoupled methods;Implicit Time Integration Methods;Galerkin method;Finite Difference Method;space-time Petrov-Galerkin method;Space Time Domain;STWRM;Asymptotic Range;J. N. Reddy;Posteriori Error Estimation;Time Dependent Convection Diffusion Equation;Constant Average Acceleration Method