Zaha Hadid Architects has announced it will continue to practice without its late founder and figurehead, who died suddenly last month.

Iraqi-born British architect Zaha Hadid died aged 65 from a heart attack while being treated for bronchitis at a Miami hospital.

Her London-based firm, Zaha Hadid Architects, will now carry on work to complete the 36 projects that were under development in 21 countries at the time of her death.

The office has confirmed it will retain the name Zaha Hadid Architects and its acronym ZHA, and will move forward with its current board to deliver existing and new projects in the future.

"Zaha is in the DNA of Zaha Hadid Architects. She continues to drive and inspire us every day, and we work on as Zaha taught us – with curiosity, integrity, passion and determination," said a statement issued by the firm.

"Zaha trusted everyone to achieve the potential she saw in them, to never stop questioning, to never stop imagining, to realise the fantastic," it continued. "Through research, experimentation and collaboration we make the discoveries we did not think were possible, working on new ideas, pushing them into the mainstream to raise standards and benefit all."

Four of the projects – in England, Italy, Saudi Arabia and Belgium – are due to be completed this year.

The first, Salerno Maritime Terminal, will be inaugurated later this month by Italian prime minister Matteo Renzi. The new terminal, which features the undulating curves that are characteristic of Hadid's design, will allow ferries and cruise ships to dock in the city Salerno and for their passengers to visit the historic towns and villages dotted along Italy's Amalfi coastline.

The second project set to finish is Port House, a new headquarters for Antwerp's port authorities, which is set within a 95-year-old fire station and is due to open in September this year.

The distorted honeycomb formation of the King Abdullah Petroleum Studies and Research Center in the Saudi Arabia capital Riyadh will be the next to complete, in October 2016.

The firm also won a competition to design a new metro station for the city, a project that is among the 36 projects expected to see completion.

The final scheme to complete this year will be the Mathematics Gallery at London's Science Museum, which is due to finish in December. The design and layout of the curved surfaces in the new gallery will be based on mathematic equations.

It was announced yesterday that Hadid's spiralling car park and public plaza in Miami will not be realised after the design was rejected by city officials.

Several of Zaha Hadid's product designs were unveiled posthumously during Milan design week, including a shelves for the Italian company Citco, a table for furniture brand Sawaya & Moroni and a table centrepiece for the crystal producer Swarovski.

Portrait of Zaha Hadid by Virgile Simon Bertrand.