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These proceedings present a curated collection of innovative approaches to tackling challenging problems in applied mathematics. These problems, often marked by instability, inaccuracy, and high computational cost, remain at the forefront of mathematical research due to their difficulty. Addressing this demand, the contributions in this volume offer robust numerical methods designed to improve the accuracy and efficiency of their solutions.
The book originates from the Go20 Conference 2023, where established experts and emerging researchers explored cutting-edge methodologies. The discussions captured here situate new advancements within a broader historical and theoretical context, providing a well-rounded perspective on these pressing mathematical challenges.
Topics covered include:
- Ordinary Differential Equations (ODEs) with singularities
- Multi-dimensional and multi-rate systems of Partial Differential Equations (PDEs)
- High-index Differential-Algebraic Equations (DAEs)
- Inverse and optimal control problems
This collection is a valuable resource for researchers and practitioners working on these or related topics. It offers comprehensive analyses and practical insights that bridge foundational principles with modern numerical innovations.
List of contents
Preface.- The Effects of Domain Size and Electrode Placement on Electrical Excitabilityin the Bidomain Model.- Multibody Dynamics in Natural Coordinates: Two Simple Formulations.- Simplified $P_1$ approximation for solidification and melting in opticallythick media.- Symbolic computation of local truncation error for approximate B-seriesbased validated simulation.- Shape Optimization for the Mitigation of Coastal Erosion via SmoothedParticle Hydrodynamics.- Efficient Computation of Accurate Continuous Numerical Solutions of NonlocalTwo-Point Boundary Value Problems.- Author Index.
Summary
These proceedings present a curated collection of innovative approaches to tackling challenging problems in applied mathematics. These problems, often marked by instability, inaccuracy, and high computational cost, remain at the forefront of mathematical research due to their difficulty. Addressing this demand, the contributions in this volume offer robust numerical methods designed to improve the accuracy and efficiency of their solutions.
The book originates from the Go20 Conference 2023, where established experts and emerging researchers explored cutting-edge methodologies. The discussions captured here situate new advancements within a broader historical and theoretical context, providing a well-rounded perspective on these pressing mathematical challenges.
Topics covered include:
- Ordinary Differential Equations (ODEs) with singularities
- Multi-dimensional and multi-rate systems of Partial Differential Equations (PDEs)
- High-index Differential-Algebraic Equations (DAEs)
- Inverse and optimal control problems
This collection is a valuable resource for researchers and practitioners working on these or related topics. It offers comprehensive analyses and practical insights that bridge foundational principles with modern numerical innovations.
